khan.csv

title,subject,interal_id,url,id_number,description
Addition and subtraction,Arithmetic,x352f9bcb,https://www.khanacademy.org/math/arithmetic/arith-review-add-subtract,arith-review-add-subtract,In this topic  we will add and subtract whole numbers. The topic starts with 1+1=2 and goes through adding and subtracting within 1000.  We will cover regrouping  borrowing  and word problems.
Multiplication and division,Arithmetic,x85580c81,https://www.khanacademy.org/math/arithmetic/arith-review-multiply-divide,arith-review-multiply-divide,In this topic  we will multiply and divide whole numbers. The topic starts with 1-digit multiplication and division and goes through multi-digit problems.  We will cover regrouping  remainders  and word problems.
Negative numbers,Arithmetic,x518bed67,https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers,arith-review-negative-numbers,Learn about numbers below 0 and how they relate to positive numbers.  Add  subtract  multiply and divide negative numbers.
Fractions,Arithmetic,x4e0ba0da,https://www.khanacademy.org/math/arithmetic/fraction-arithmetic,fraction-arithmetic,In this topic  we will explore fractions conceptually and add  subtract  multiply  and divide fractions.
Decimals,Arithmetic,xa869475e,https://www.khanacademy.org/math/arithmetic/arith-decimals,arith-decimals,In this topic  we will learn what a decimal is and how to show it visually and on a number line.  We will also add  subtract  multiply  and divide with decimals.
Arithmetic properties,Pre-algebra,x16b067c9,https://www.khanacademy.org/math/pre-algebra/pre-algebra-arith-prop,pre-algebra-arith-prop,This tutorial will help us make sure we can go deep on arithmetic. We'll explore various ways to represent whole numbers  place value  order of operations  rounding and various other properties of arithmetic.
Factors and multiples,Pre-algebra,xa9d6fdff,https://www.khanacademy.org/math/pre-algebra/pre-algebra-factors-multiples,pre-algebra-factors-multiples,Understanding and finding factors and multiples. After these videos  you'll be ready for fractions.
Reading and interpreting data,Pre-algebra,x1f72b5ec,https://www.khanacademy.org/math/pre-algebra/pre-algebra-math-reasoning,pre-algebra-math-reasoning,This topic is less about statistics and more about interpreting data--whether it is presented as a table  pictograph  bar graph or line graph.  Good for someone new to these ideas.  For a student in high school or college looking to learn statistics  it might make sense to skip (although it might not hurt either).
Measurement,Pre-algebra,xcaacb86d,https://www.khanacademy.org/math/pre-algebra/pre-algebra-measurement,pre-algebra-measurement,From length to area to volume to time  thinking about how we measure things.
Fractions,Pre-algebra,x1d64bc3f,https://www.khanacademy.org/math/pre-algebra/pre-algebra-fractions,pre-algebra-fractions,Understanding fractions conceptually  using operations with fractions  and converting fractions.
Decimals,Pre-algebra,xcd755b70,https://www.khanacademy.org/math/pre-algebra/pre-algebra-decimals,pre-algebra-decimals,Understanding decimals conceptually  using operations with decimals  rounding and estimating with decimals  and converting decimals.
Negative numbers and coordinate plane,Pre-algebra,x4ba15d90,https://www.khanacademy.org/math/pre-algebra/pre-algebra-negative-numbers,pre-algebra-negative-numbers,Extending our understanding of numbers below 0.  Thinking about "absolute" distance from 0.  We will also look at all 4 quadrants on the coordinate plane.
Ratios rates proportions,Pre-algebra,x17923675,https://www.khanacademy.org/math/pre-algebra/pre-algebra-ratios-rates,pre-algebra-ratios-rates,Learn all about proportional relationships. How are they connected to ratios and rates? What do their graphs look like? What types of word problems can we solve with proportions?
Equations expressions and inequalities,Pre-algebra,x04908aa2,https://www.khanacademy.org/math/pre-algebra/pre-algebra-equations-expressions,pre-algebra-equations-expressions,In this topic  we will look at 1- and 2-step equations  as well as expressions and inequalities.
Exponents radicals and scientific notation,Pre-algebra,x2251cb4b,https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals,pre-algebra-exponents-radicals,Understanding and solving exponents  radicals  and scientific notation without algebra.
Counting,Early math,x310ffe65,https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic,cc-early-math-counting-topic,Learn how to count. Say how many objects you see.
Addition and subtraction intro,Early math,xd0ae8a03,https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics,cc-early-math-add-sub-basics,Learn the basics of adding and subtracting.
Place value (tens and hundreds),Early math,x314bd06e,https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic,cc-early-math-place-value-topic,Learn about tens and hundreds. Compare 2-digit and 3-digit numbers.
Addition and subtraction within 20,Early math,xa2993d94,https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20,cc-early-math-add-sub-20,Learn to add and subtract numbers that are 20 or less.
Addition and subtraction within 100,Early math,x2a262576,https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100,cc-early-math-add-sub-100,Learn to add and subtract two-digit numbers within 100.
Addition and subtraction within 1000,Early math,x4f9f5221,https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-1000,cc-early-math-add-sub-1000,Learn to add and subtract two- and three-digit numbers within 1000.
Measurement and data,Early math,x853bca69,https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic,cc-early-math-measure-data-topic,Learn how to measure length  tell time  count money  and make graphs.
Geometry,Early math,x54b9a662,https://www.khanacademy.org/math/early-math/cc-early-math-geometry-topic,cc-early-math-geometry-topic,Learn about triangles  circles  rectangles  and other shapes.
Introduction to algebra,Algebra I,x73f542cc,https://www.khanacademy.org/math/algebra/introduction-to-algebra,introduction-to-algebra,This topic is an overview of the fundamental ideas and tools of algebra.
One-variable linear equations,Algebra I,x86a3d4b8,https://www.khanacademy.org/math/algebra/one-variable-linear-equations,one-variable-linear-equations,Learn how to solve linear equations that contain a single variable. For example  solve 2(x+3)=(4x-1)/2+7.
One-variable linear inequalities,Algebra I,x468c6c9a,https://www.khanacademy.org/math/algebra/one-variable-linear-inequalities,one-variable-linear-inequalities,Learn how to solve linear inequalities with a single variable. For example  solve -3(x+1)>2x-7. Learn how to solve compound inequalities. For example  solve 2x+1>3 AND -x-5<4.
Units of measurement in modeling,Algebra I,x5fd568c4,https://www.khanacademy.org/math/algebra/units-in-modeling,units-in-modeling,Modeling is an amazing world  full of challenges. In this topic  we will start to think about some general modeling concerns  before we dive into modeling situations with different kinds of functions and equations throughout the Algebra curriculum.
Two-variable linear equations,Algebra I,x77a78bee,https://www.khanacademy.org/math/algebra/two-var-linear-equations,two-var-linear-equations,Learn about linear equations that contain two variables  and how these can be represented by graphical lines and tables of values.
Functions,Algebra I,xe8002e2d,https://www.khanacademy.org/math/algebra/algebra-functions,algebra-functions,Functions are mathematical entities that assign unique outputs to given inputs. Sounds simple? Think again!  In this topic you will evaluate  graph  analyze  and create various types of functions.
Linear equations and functions word problems,Algebra I,xc02c967b,https://www.khanacademy.org/math/algebra/linear-word-problems,linear-word-problems,Solve various word problems that involve real world relationships that can be represented by linear equations or functions.
Sequences,Algebra I,xe62bd906,https://www.khanacademy.org/math/algebra/sequences,sequences,Learn about the various ways in which we can define sequences; Use and construct arithmetic and geometric sequences.
Systems of linear equations,Algebra I,xd6035bab,https://www.khanacademy.org/math/algebra/systems-of-linear-equations,systems-of-linear-equations,Learn how to interpret solutions to systems of linear equations and solve them.
Two-variable linear inequalities,Algebra I,x4bd7e256,https://www.khanacademy.org/math/algebra/two-variable-linear-inequalities,two-variable-linear-inequalities,In this topic  we study inequalities like x+2y>5 and graph them. This helps us see their solutions. We also explore systems of inequalities (multiple inequalities at the same time) and use them to describe real-world situations.
Absolute value & piecewise functions,Algebra I,x815a4357,https://www.khanacademy.org/math/algebra/absolute-value-equations-functions,absolute-value-equations-functions,Learn how to solve absolute value equations and how to graph absolute value functions.
Expressions with rational exponents and radicals,Algebra I,x24340af5,https://www.khanacademy.org/math/algebra/rational-exponents-and-radicals,rational-exponents-and-radicals,Learn about expressions with rational exponents like x^(2/3)  about radical expressions like √(2t^5)  and about the relationship between these two forms of representation. Learn how to evaluate and simplify such expression.
Introduction to exponential functions,Algebra I,xd1681a90,https://www.khanacademy.org/math/algebra/introduction-to-exponential-functions,introduction-to-exponential-functions,Learn how to construct  analyze  graph  and interpret basic exponential functions of the form f(x)=a*r^x.
Introduction to polynomials,Algebra I,x474ee3e7,https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions,introduction-to-polynomial-expressions,Learn how to add  subtract  and multiply polynomial expressions. For example  write (2x+3)(x-1) as 2x²+x-3.
Polynomial factorization,Algebra I,x5b01e065,https://www.khanacademy.org/math/algebra/polynomial-factorization,polynomial-factorization,Learn how to write polynomial expressions as the product of linear factors. For example  write x^2+3x+2 as (x+1)(x+2).
Quadratic equations and functions,Algebra I,x46068850,https://www.khanacademy.org/math/algebra/quadratics,quadratics,Learn how to solve quadratic equations  and how to analyze and graph quadratic functions.
Rational and irrational numbers,Algebra I,xdd7aa21f,https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers,rational-and-irrational-numbers,Learn about irrational numbers and how to identify them.
Geometry foundations,High school geometry,x39dc0a7b,https://www.khanacademy.org/math/geometry/hs-geo-foundations,hs-geo-foundations,Review your knowledge about angles  triangles  quadrilaterals  and area.
Transformations,High school geometry,xc244bcf0,https://www.khanacademy.org/math/geometry/hs-geo-transformations,hs-geo-transformations,In this topic you will learn about the most useful math concept for creating video game graphics: geometric transformations  specifically translations  rotations  reflections  and dilations.  You will learn how to perform the transformations  and how to map one figure into another using these transformations.
Congruence,High school geometry,x1d999dce,https://www.khanacademy.org/math/geometry/hs-geo-congruence,hs-geo-congruence,Learn what it means for two figures to be congruent  and how to determine whether two figures are congruent or not. Use this immensely important concept to prove various geometric theorems about triangles and parallelograms.
Similarity,High school geometry,x4192cc77,https://www.khanacademy.org/math/geometry/hs-geo-similarity,hs-geo-similarity,Learn what it means for two figures to be similar  and how to determine whether two figures are similar or not. Use this concept to prove geometric theorems and solve some problems with polygons.
Right triangles & trigonometry,High school geometry,x7597fbbe,https://www.khanacademy.org/math/geometry/hs-geo-trig,hs-geo-trig,Triangles are not always right (although they are never wrong)  but when they are it opens up an exciting world of possibilities.  Not only are right triangles cool in their own right (pun intended)  they are the basis of very important ideas in analytic geometry (the distance between two points in space) and trigonometry.
Solid geometry,High school geometry,x9e6f6ed7,https://www.khanacademy.org/math/geometry/hs-geo-solids,hs-geo-solids,Extend your knowledge about two-dimensional shapes to three dimensions!
Analytic geometry,High school geometry,xaa176d24,https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry,hs-geo-analytic-geometry,In analytic geometry  also known as coordinate geometry  we think about geometric objects on the coordinate plane. For example  we can see that opposite sides of a parallelogram are parallel by writing a linear equation for each side and seeing that the slopes are the same.
Circles,High school geometry,x735339fa,https://www.khanacademy.org/math/geometry/hs-geo-circles,hs-geo-circles,Explore  prove  and apply important properties of circles that have to do with things like arc length  radians  inscribed angles  and tangents.
Trigonometry with right triangles,Trigonometry,x74f9f730,https://www.khanacademy.org/math/trigonometry/trigonometry-right-triangles,trigonometry-right-triangles,Learn the basics of trigonometry: What are sine  cosine  and tangent? How can we use them to solve for unknown sides and angles in right triangles?
Trigonometry with general triangles,Trigonometry,x3f4bb451,https://www.khanacademy.org/math/trigonometry/trig-with-general-triangles,trig-with-general-triangles,Learn how to use trigonometry in order to find missing sides and angles in any triangle.
The unit circle definition of sine cosine and tangent,Trigonometry,x36c957e4,https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func,unit-circle-trig-func,Learn how the trigonometric ratios are extended to all real numbers using algebra. Start solving simple problems that involve this new definition of the trigonometric functions.
Graphs of trigonometric functions,Trigonometry,xb1166488,https://www.khanacademy.org/math/trigonometry/trig-function-graphs,trig-function-graphs,Learn how to graph trigonometric functions and how to interpret those graphs. Learn how to construct trigonometric functions from their graphs or other features.
Trigonometric equations and identities,Trigonometry,x6c759222,https://www.khanacademy.org/math/trigonometry/trig-equations-and-identities,trig-equations-and-identities,Learn how to solve trigonometric equations and how to use trigonometric identities to solve various problems.
Trigonometric equations and identities,Precalculus,xb7335d47,https://www.khanacademy.org/math/precalculus/trig-equations-and-identities-precalc,trig-equations-and-identities-precalc,Learn how to solve trigonometric equations and how to use trigonometric identities to solve various problems.
Conic sections,Precalculus,xb61c639c,https://www.khanacademy.org/math/precalculus/conics-precalc,conics-precalc,Learn about the four conic sections and their equations: Circle  Ellipse  Parabola  and Hyperbola.
Vectors,Precalculus,x8dd62d07,https://www.khanacademy.org/math/precalculus/vectors-precalc,vectors-precalc,Learn what vectors are and how they can be used to model real-world situations. Perform various operations with vectors like adding  subtracting  scaling  conversion between rectangular to polar coordinates  etc.
Matrices,Precalculus,x6db71967,https://www.khanacademy.org/math/precalculus/precalc-matrices,precalc-matrices,Learn what matrices are and about their various uses: solving systems of equations  transforming shapes and vectors  and representing real-world situations. Learn how to add  subtract  and multiply matrices  and find the inverses of matrices.
Imaginary and complex numbers,Precalculus,x1dd60c20,https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers,imaginary-and-complex-numbers,Use your imagination and complexity (?) and dive into the world of complex numbers. Add  subtract  multiply  & divide complex numbers. Plot them on the complex plane and convert between rectangular and polar forms.
Probability and combinatorics,Precalculus,x1af1e2a6,https://www.khanacademy.org/math/precalculus/prob-comb,prob-comb,Basics of probability and combinatorics
Sequences series and induction,Precalculus,xef1dc391,https://www.khanacademy.org/math/precalculus/seq-induction,seq-induction,An assortment of concepts in math that help us deal with sequences and proofs.
Displaying and describing data,Statistics and probability,x375234a0,https://api.khanacademy.org/math/statistics-probability/displaying-describing-data,displaying-describing-data,One of the first things we do in statistics is try to understand sets of data. This involves plotting the data in different ways and summarizing what we see with measures of center (like mean and median) and measures of spread (like range and standard deviation). This topic focuses on concepts that are often referred to as "descriptive statistics".
Modeling distributions of data,Statistics and probability,x00800084,https://api.khanacademy.org/math/statistics-probability/modeling-distributions-of-data,modeling-distributions-of-data,The normal distribution is the most commonly used model in all of statistics. Learn how to measure position using z-scores and find what percent of data falls where in a normal distribution.
Describing relationships in quantitative data,Statistics and probability,x6900e7ff,https://api.khanacademy.org/math/statistics-probability/describing-relationships-quantitative-data,describing-relationships-quantitative-data,If we want to explore a relationship between two quantitative variables  we make a scatterplot of the data. The fun doesn't stop there. We describe pattern  talk about the type of correlation we see  and sometimes fit a line to the data so we can use the pattern to make predictions.
Designing studies,Statistics and probability,xb5daea70,https://api.khanacademy.org/math/statistics-probability/designing-studies,designing-studies,Study design focuses on collecting data properly and making the most valid conclusions we can based on how the data was collected. This topic covers explore samples  surveys  and experiments.
Probability,Statistics and probability,x19ac05e4,https://api.khanacademy.org/math/statistics-probability/probability-library,probability-library,Probability tells us how often some event will happen after many repeated trials. This topic covers theoretical  experimental  compound probability  permutations  combinations  and more!
Random variables,Statistics and probability,x945de217,https://api.khanacademy.org/math/statistics-probability/random-variables-stats-library,random-variables-stats-library,Random variables can be any outcomes from some chance process  like how many heads will occur in a series of 20 flips. We calculate probabilities of random variables and calculate expected value for different types of random variables.
Sampling distributions,Statistics and probability,x263f6b66,https://api.khanacademy.org/math/statistics-probability/sampling-distributions-library,sampling-distributions-library,A sampling distribution shows every possible result a statistic can take in every possible sample from a population and how often each result happens. This topic covers how sample proportions and sample means behave in repeated samples.
Confidence intervals (one sample),Statistics and probability,xd7fec8c9,https://api.khanacademy.org/math/statistics-probability/confidence-intervals-one-sample,confidence-intervals-one-sample,Confidence intervals give us a range of plausible values for some unknown value based on results from a sample. This topic covers confidence intervals for means and proportions.
Significance tests (one sample),Statistics and probability,x9e08eb70,https://api.khanacademy.org/math/statistics-probability/significance-tests-one-sample,significance-tests-one-sample,Significance tests give us a formal process for using sample data to evaluate the likelihood of some claim about a population value. We calculate p-values to see how likely a sample result is to occur by random chance  and we use p-values to make conclusions about hypotheses.
Significance tests and confidence intervals (two samples),Statistics and probability,xc1d3489e,https://api.khanacademy.org/math/statistics-probability/significance-tests-confidence-intervals-two-samples,significance-tests-confidence-intervals-two-samples,Learn how to apply what you know about confidence intervals and significance tests to situations that involve comparing two samples to see if there is a significant difference between the two populations.
Inference for categorical data (chi-square tests),Statistics and probability,x6024afd0,https://api.khanacademy.org/math/statistics-probability/inference-categorical-data-chi-square-tests,inference-categorical-data-chi-square-tests,Chi-square tests are a family of significance tests that give us ways to test hypotheses about distributions of categorical data. This topic covers goodness-of-fit tests to see if sample data fits a hypothesized distribution  and tests for independence between two categorical variables.
Advanced regression (inference and transforming),Statistics and probability,x0465ccc4,https://api.khanacademy.org/math/statistics-probability/advanced-regression-inference-transforming,advanced-regression-inference-transforming,Advanced regression will introduce you to regression methods when data has  a nonlinear pattern.
Analysis of variance (ANOVA),Statistics and probability,x33610417,https://api.khanacademy.org/math/statistics-probability/analysis-of-variance-anova-library,analysis-of-variance-anova-library,Analysis of variance  also called ANOVA  is a collection of methods for comparing multiple means across different groups.
Limits basics,AP Calculus AB,xd6674733,https://api.khanacademy.org/math/ap-calculus-ab/limits-basics-ab,limits-basics-ab,Limits are intuitive  yet elusive. Learn what they are all about and how to find limits of functions from graphs or tables of values. Learn about the difference between one-sided and two-sided limits and how they relate to each other.
Continuity,AP Calculus AB,x2302aafd,https://api.khanacademy.org/math/ap-calculus-ab/continuity-ab,continuity-ab,Continuous functions are  in essence  functions whose graphs can be drawn without lifting up your pen. This may sound simple  but this is in fact a very rich subject. Learn how continuity is defined using limits  and about a main property of all continuous functions -- the Intermediate value theorem.
Limits from equations,AP Calculus AB,x0dd8e952,https://api.khanacademy.org/math/ap-calculus-ab/limits-from-equations-ab,limits-from-equations-ab,Now that we have all the conceptual stuff laid down  we can start have some fun with finding limits of various functions. Some of these limits don't want you to find them so fast  but we're sure you'll get them in the end!
Infinite limits,AP Calculus AB,xd79c7aee,https://api.khanacademy.org/math/ap-calculus-ab/infinite-limits-ab,infinite-limits-ab,Basically  a limit must be at a specific point and have a specific value in order to be defined. Nevertheless  there are two kinds of limits that break these rules. One kind is unbounded limits -- limits that approach ± infinity (you may know them as "vertical asymptotes"). The other kind is limits at infinity -- these limits describe the value a function is approaching as x goes to ± infinity (you may know them as "horizontal asymptotes").
Derivative introduction,AP Calculus AB,x51f8ea83,https://api.khanacademy.org/math/ap-calculus-ab/derivative-introduction-ab,derivative-introduction-ab,Get comfortable with the big idea of differential calculus  the derivative. The derivative of a function has many different interpretations and they are all very useful when dealing with differential calculus problems. This topic covers all of those interpretations  including the formal definition of the derivative and the notion of differentiable functions.
Basic differentiation,AP Calculus AB,x856b5234,https://api.khanacademy.org/math/ap-calculus-ab/basic-differentiation-ab,basic-differentiation-ab,Differentiating functions is not an easy task! Make your first steps in this vast and rich world with some of the most basic differentiation rules  including the Power rule. It will surely make you feel more powerful.
Product quotient & chain rules,AP Calculus AB,x7d61367a,https://api.khanacademy.org/math/ap-calculus-ab/product-quotient-chain-rules-ab,product-quotient-chain-rules-ab,Covered basic differentiation? Great! Now let's take things to the next level. In this topic  you will learn general rules that tell us how to differentiate products of functions  quotients of functions  and composite functions. Anxious to find the derivative of eˣ⋅sin(x²)? You've come to the right place.
Differentiating common functions,AP Calculus AB,xf48853cf,https://api.khanacademy.org/math/ap-calculus-ab/differentiating-common-functions-ab,differentiating-common-functions-ab,Now that you know all the important differentiation rules  let's solve some problems that involve the differentiation of various common functions.
Advanced differentiation,AP Calculus AB,xb4b4c2fa,https://api.khanacademy.org/math/ap-calculus-ab/advanced-differentiation-ab,advanced-differentiation-ab,The chain rule sets the stage for implicit differentiation  which in turn allows us to differentiate inverse functions (and specifically the inverse trigonometric functions). This is really the top of the line when it comes to differentiation.
Analyzing functions with calculus,AP Calculus AB,xfa70e88f,https://api.khanacademy.org/math/ap-calculus-ab/analyzing-functions-with-calculus-ab,analyzing-functions-with-calculus-ab,Let's put all of our differentiation abilities to use  by analyzing the graphs of various functions. As you will see  the derivative and the second derivative of a function can tell us a lot about the function's graph.
Derivative applications,AP Calculus AB,xe97d2562,https://api.khanacademy.org/math/ap-calculus-ab/derivative-applications-ab,derivative-applications-ab,Solve real world problems (and some pretty elaborate mathematical problems) using the power of differential calculus.
Indefinite integrals,AP Calculus AB,x2df2c1b6,https://api.khanacademy.org/math/ap-calculus-ab/indefinite-integrals-ab,indefinite-integrals-ab,If f is the derivative of F  then F is an antiderivative of f. We also call F the "indefinite integral" of f. In other words  indefinite integrals and antiderivatives are  essentially  reverse derivatives. Why differentiate in reverse? Good question! Keep going and you'll find out!
Definite integrals introduction,AP Calculus AB,x3f6287fa,https://api.khanacademy.org/math/ap-calculus-ab/definite-integrals-intro-ab,definite-integrals-intro-ab,Definite integrals are a way to describe the area under a curve. Make introduction with this intriguing concept  along with its elaborate notation and various properties.
Riemann sums,AP Calculus AB,x42e64e4f,https://api.khanacademy.org/math/ap-calculus-ab/riemann-sums-ab,riemann-sums-ab,Riemann sums is the name of a family of methods we can use to approximate the area under a curve. Through Riemann sums we come up with a formal definition for the definite integral.
Fundamental theorem of calculus,AP Calculus AB,xc87e4d40,https://api.khanacademy.org/math/ap-calculus-ab/fundamental-theorem-of-calculus-ab,fundamental-theorem-of-calculus-ab,So you've learned about indefinite integrals and you've learned about definite integrals. Have you wondered what's the connection between these two concepts? You will get all the answers right here. Beware  this is pretty mind-blowing.
Definite integral evaluation,AP Calculus AB,x97c977b4,https://api.khanacademy.org/math/ap-calculus-ab/definite-integral-evaluation-ab,definite-integral-evaluation-ab,Make your first steps in evaluating definite integrals  armed with the Fundamental theorem of calculus.
Integration techniques,AP Calculus AB,xf246e330,https://api.khanacademy.org/math/ap-calculus-ab/integration-techniques-ab,integration-techniques-ab,Some functions don't make it easy to find their integrals  but we are not ones to give up so fast! Learn some advanced tools for integrating the more troublesome functions.
Area & arc length using calculus,AP Calculus AB,x848380de,https://api.khanacademy.org/math/ap-calculus-ab/area-and-arc-length-ab,area-and-arc-length-ab,Become a professional area-under-curve finder! You will also learn here how integrals can be used to find lengths of curves. The tools of calculus are so versatile!
Integration applications,AP Calculus AB,xc9f27401,https://api.khanacademy.org/math/ap-calculus-ab/integration-applications-ab,integration-applications-ab,As with derivatives  solve some real world problems and mathematical problems using the power of integral calculus.
Volume using calculus,AP Calculus AB,x14bd1b9a,https://api.khanacademy.org/math/ap-calculus-ab/volume-using-calculus-ab,volume-using-calculus-ab,Integrals can be used to find 2D measures (area) and 1D measures (lengths). But it can also be used to find 3D measures (volume)! Learn all about it here.
Differential equations,AP Calculus AB,xa7a03a6d,https://api.khanacademy.org/math/ap-calculus-ab/diff-equations-ab,diff-equations-ab,Differential equations are equations that include both a function and its derivative (or higher-order derivatives). For example  y=y' is a differential equation. Learn how to find and represent solutions of basic differential equations.
AP Calculus AB questions,AP Calculus AB,x01ec99db,https://api.khanacademy.org/math/ap-calculus-ab/solved-exams-ab,solved-exams-ab,Many of you are planning on taking the Calculus AB advanced placement exam.  These are example problems taken directly from previous years' exams. Even if you aren't taking the exam  these are very useful problem for making sure you understand your calculus (as always  best to pause the videos and try them yourself before Sal does).
Limits basics,AP Calculus BC,x19e3c2b5,https://www.khanacademy.org/math/ap-calculus-bc/limits-basics-bc,limits-basics-bc,Limits are intuitive  yet elusive. Learn what they are all about and how to find limits of functions from graphs or tables of values. Learn about the difference between one-sided and two-sided limits and how they relate to each other.
Continuity,AP Calculus BC,x95df4a82,https://www.khanacademy.org/math/ap-calculus-bc/continuity-bc,continuity-bc,Continuous functions are  in essence  functions whose graphs can be drawn without lifting up your pen. This may sound simple  but this is in fact a very rich subject. Learn how continuity is defined using limits  and about a main property of all continuous functions -- the Intermediate value theorem.
Limits from equations,AP Calculus BC,x2a1449c4,https://www.khanacademy.org/math/ap-calculus-bc/limits-from-equations-bc,limits-from-equations-bc,Now that we have all the conceptual stuff laid down  we can start have some fun with finding limits of various functions. Some of these limits don't want you to find them so fast  but we're sure you'll get them in the end!
Infinite limits,AP Calculus BC,x155ca370,https://www.khanacademy.org/math/ap-calculus-bc/infinite-limits-bc,infinite-limits-bc,Basically  a limit must be at a specific point and have a specific value in order to be defined. Nevertheless  there are two kinds of limits that break these rules. One kind is unbounded limits -- limits that approach ± infinity (you may know them as "vertical asymptotes"). The other kind is limits at infinity -- these limits describe the value a function is approaching as x goes to ± infinity (you may know them as "horizontal asymptotes").
Derivative introduction,AP Calculus BC,x5f60c8ad,https://www.khanacademy.org/math/ap-calculus-bc/derivative-introduction-bc,derivative-introduction-bc,Get comfortable with the big idea of differential calculus  the derivative. The derivative of a function has many different interpretations and they are all very useful when dealing with differential calculus problems. This topic covers all of those interpretations  including the formal definition of the derivative and the notion of differentiable functions.
Basic differentiation,AP Calculus BC,xa06d9013,https://www.khanacademy.org/math/ap-calculus-bc/basic-differentiation-bc,basic-differentiation-bc,Differentiating functions is not an easy task! Make your first steps in this vast and rich world with some of the most basic differentiation rules  including the Power rule. It will surely make you feel more powerful.
Product quotient & chain rules,AP Calculus BC,x88eba4c6,https://www.khanacademy.org/math/ap-calculus-bc/product-quotient-chain-rules-bc,product-quotient-chain-rules-bc,Covered basic differentiation? Great! Now let's take things to the next level. In this topic  you will learn general rules that tell us how to differentiate products of functions  quotients of functions  and composite functions. Anxious to find the derivative of eˣ⋅sin(x²)? You've come to the right place.
Differentiating common functions,AP Calculus BC,x78ae34d2,https://www.khanacademy.org/math/ap-calculus-bc/differentiating-common-functions-bc,differentiating-common-functions-bc,Now that you know all the important differentiation rules  let's solve some problems that involve the differentiation of various common functions.
Advanced differentiation,AP Calculus BC,xd466a72b,https://www.khanacademy.org/math/ap-calculus-bc/advanced-differentiation-bc,advanced-differentiation-bc,The chain rule sets the stage for implicit differentiation  which in turn allows us to differentiate inverse functions (and specifically the inverse trigonometric functions). This is really the top of the line when it comes to differentiation.
Analyzing functions with calculus,AP Calculus BC,xa652c8ac,https://www.khanacademy.org/math/ap-calculus-bc/analyzing-functions-with-calculus-bc,analyzing-functions-with-calculus-bc,Let's put all of our differentiation abilities to use  by analyzing the graphs of various functions. As you will see  the derivative and the second derivative of a function can tell us a lot about the function's graph.
Derivative applications,AP Calculus BC,xabae1ae4,https://www.khanacademy.org/math/ap-calculus-bc/derivative-applications-bc,derivative-applications-bc,Solve real world problems (and some pretty elaborate mathematical problems) using the power of differential calculus.
Indefinite integrals,AP Calculus BC,xdb01d6b9,https://www.khanacademy.org/math/ap-calculus-bc/indefinite-integrals-bc,indefinite-integrals-bc,If f is the derivative of F  then F is an antiderivative of f. We also call F the "indefinite integral" of f. In other words  indefinite integrals and antiderivatives are  essentially  reverse derivatives. Why differentiate in reverse? Good question! Keep going and you'll find out!
Definite integrals introduction,AP Calculus BC,x4f60c4cf,https://www.khanacademy.org/math/ap-calculus-bc/definite-integrals-intro-bc,definite-integrals-intro-bc,Definite integrals are a way to describe the area under a curve. Make introduction with this intriguing concept  along with its elaborate notation and various properties.
Riemann sums,AP Calculus BC,x94dfd71d,https://www.khanacademy.org/math/ap-calculus-bc/riemann-sums-bc,riemann-sums-bc,Riemann sums is the name of a family of methods we can use to approximate the area under a curve. Through Riemann sums we come up with a formal definition for the definite integral.
Fundamental theorem of calculus,AP Calculus BC,x793037d5,https://www.khanacademy.org/math/ap-calculus-bc/fundamental-theorem-of-calculus-bc,fundamental-theorem-of-calculus-bc,So you've learned about indefinite integrals and you've learned about definite integrals. Have you wondered what's the connection between these two concepts? You will get all the answers right here. Beware  this is pretty mind-blowing.
Definite integral evaluation,AP Calculus BC,xafb67134,https://www.khanacademy.org/math/ap-calculus-bc/definite-integral-evaluation-bc,definite-integral-evaluation-bc,Make your first steps in evaluating definite integrals  armed with the Fundamental theorem of calculus.
Integration techniques,AP Calculus BC,x441eb506,https://www.khanacademy.org/math/ap-calculus-bc/integration-techniques-bc,integration-techniques-bc,Some functions don't make it easy to find their integrals  but we are not ones to give up so fast! Learn some advanced tools for integrating the more troublesome functions.
Area & arc length using calculus,AP Calculus BC,x317465a3,https://www.khanacademy.org/math/ap-calculus-bc/area-and-arc-length-bc,area-and-arc-length-bc,Become a professional area-under-curve finder! You will also learn here how integrals can be used to find lengths of curves. The tools of calculus are so versatile!
Integration applications,AP Calculus BC,xe7aa2764,https://www.khanacademy.org/math/ap-calculus-bc/integration-applications-bc,integration-applications-bc,As with derivatives  solve some real world problems and mathematical problems using the power of integral calculus.
Volume using calculus,AP Calculus BC,xb660876c,https://www.khanacademy.org/math/ap-calculus-bc/volume-using-calculus-bc,volume-using-calculus-bc,Integrals can be used to find 2D measures (area) and 1D measures (lengths). But it can also be used to find 3D measures (volume)! Learn all about it here.
Sequences & series intro,AP Calculus BC,x9ffbc3b5,https://www.khanacademy.org/math/ap-calculus-bc/series-bc,series-bc,Sequences are like chains of ordered terms. Series are sums of terms in sequences. These simple innovations uncover a world of fascinating functions and behavior.
Series convergence & estimation,AP Calculus BC,xfd078264237b0d0f,https://www.khanacademy.org/math/ap-calculus-bc/series-convergence-bc,series-convergence-bc,How can we tell whether a series converges or diverges? How can we find the value a series converges to? There is an impressive repository of tools that can help us with these questions. Learn all about it here.
Power series,AP Calculus BC,x25868d94,https://www.khanacademy.org/math/ap-calculus-bc/power-series-bc,power-series-bc,Power series are infinite series of the form Σaₙxⁿ (where n is a positive integer). Even though this family of series has a surprisingly simple behavior  it can be used to approximate very elaborate functions.
Differential equations,AP Calculus BC,x14b879eb,https://www.khanacademy.org/math/ap-calculus-bc/diff-equations-bc,diff-equations-bc,Differential equations are equations that include both a function and its derivative (or higher-order derivatives). For example  y=y' is a differential equation. Learn how to find and represent solutions of basic differential equations.
AP Calculus BC questions,AP Calculus BC,xc086f8ca,https://www.khanacademy.org/math/ap-calculus-bc/solved-exams-bc,solved-exams-bc,The Calculus BC AP exam is a super set of the AB exam.  It covers everything in AB as well as some of the more advanced topics in integration  sequences and function approximation.  This tutorial is great practice for anyone looking to test their calculus mettle!
Thinking about multivariable functions,Multivariable calculus,x9cf34252,https://www.khanacademy.org/math/multivariable-calculus/thinking-about-multivariable-function,thinking-about-multivariable-function,The only thing separating multivariable calculus from ordinary calculus is this newfangled word "multivariable".  It means we will deal with functions whose inputs or outputs live in two or more dimensions.  Here we lay the foundations for thinking about and visualizing multivariable functions.
Derivatives of multivariable functions,Multivariable calculus,xb3d3f2ba,https://www.khanacademy.org/math/multivariable-calculus/multivariable-derivatives,multivariable-derivatives,What does it mean to take the derivative of a function whose input lives in multiple dimensions?  What about when its output is a vector?  Here we go over many different ways to  extend the idea of a derivative to higher dimensions  including partial derivatives​  directional derivatives  the gradient  vector derivatives  divergence  curl  etc.
Applications of multivariable derivatives,Multivariable calculus,x56699651,https://www.khanacademy.org/math/multivariable-calculus/applications-of-multivariable-derivatives,applications-of-multivariable-derivatives,The tools of partial derivatives  the gradient  etc. can be used to optimize and approximate multivariable functions.  These are very useful in practice  and to a large extent this is why people study multivariable calculus.
Integrating multivariable functions,Multivariable calculus,x833b5150,https://www.khanacademy.org/math/multivariable-calculus/integrating-multivariable-functions,integrating-multivariable-functions,There are many ways to extend the idea of integration to multiple dimensions: Line integrals  double integrals  triple integrals  surface integrals  etc.  Each one lets you add infinitely many infinitely small values  where those values might come from points on a curve  points in an area  points on a surface  etc.    These are all very powerful tools  relevant to almost all real-world applications of calculus.  In particular  they are an invaluable tool in physics.
Green's Stokes' and the divergence theorems,Multivariable calculus,xdc273fcc,https://www.khanacademy.org/math/multivariable-calculus/greens-theorem-and-stokes-theorem,greens-theorem-and-stokes-theorem,Here we cover four different ways to extend the fundamental theorem of calculus to multiple dimensions.  Green's theorem and the 2D divergence theorem do this for two dimensions  then we crank it up to three dimensions with Stokes' theorem and the (3D) divergence theorem.
Limits basics,Differential calculus,x1e3477dc,https://www.khanacademy.org/math/differential-calculus/limit-basics-dc,limit-basics-dc,Limits are intuitive  yet elusive. Learn what they are all about and how to find limits of functions from graphs or tables of values. Learn about the difference between one-sided and two-sided limits and how they relate to each other.
Continuity,Differential calculus,x309b509f,https://www.khanacademy.org/math/differential-calculus/continuity-dc,continuity-dc,Continuous functions are  in essence  functions whose graphs can be drawn without lifting up your pen. This may sound simple  but this is in fact a very rich subject. Learn how continuity is defined using limits  and about a main property of all continuous functions -- the Intermediate value theorem.
Limits from equations,Differential calculus,xd65559c1,https://www.khanacademy.org/math/differential-calculus/limits-from-equations-dc,limits-from-equations-dc,Now that we have all the conceptual stuff laid down  we can start have some fun with finding limits of various functions. Some of these limits don't want you to find them so fast  but we're sure you'll get them in the end!
Infinite limits,Differential calculus,xf734ef1c,https://www.khanacademy.org/math/differential-calculus/infinite-limits-dc,infinite-limits-dc,Basically  a limit must be at a specific point and have a specific value in order to be defined. Nevertheless  there are two kinds of limits that break these rules. One kind is unbounded limits -- limits that approach ± infinity (you may know them as "vertical asymptotes"). The other kind is limits at infinity -- these limits describe the value a function is approaching as x goes to ± infinity (you may know them as "horizontal asymptotes").
Derivative introduction,Differential calculus,x5398b3b3,https://www.khanacademy.org/math/differential-calculus/derivative-intro-dc,derivative-intro-dc,Get comfortable with the big idea of differential calculus  the derivative. The derivative of a function has many different interpretations and they are all very useful when dealing with differential calculus problems. This topic covers all of those interpretations  including the formal definition of the derivative and the notion of differentiable functions.
Basic differentiation,Differential calculus,xd5874709,https://www.khanacademy.org/math/differential-calculus/basic-differentiation-dc,basic-differentiation-dc,Differentiating functions is not an easy task! Make your first steps in this vast and rich world with some of the most basic differentiation rules  including the Power rule. It will surely make you feel more powerful.
Product quotient & chain rules,Differential calculus,x32acf9ee,https://www.khanacademy.org/math/differential-calculus/product-quotient-chain-rules-dc,product-quotient-chain-rules-dc,Covered basic differentiation? Great! Now let's take things to the next level. In this topic  you will learn general rules that tell us how to differentiate products of functions  quotients of functions  and composite functions. Anxious to find the derivative of eˣ⋅sin(x²)? You've come to the right place.
Differentiating common functions,Differential calculus,xca93b482,https://www.khanacademy.org/math/differential-calculus/diff-common-func-dc,diff-common-func-dc,Now that you know all the important differentiation rules  let's solve some problems that involve the differentiation of various common functions.
Advanced differentiation,Differential calculus,x778939c0,https://www.khanacademy.org/math/differential-calculus/advanced-diff-dc,advanced-diff-dc,The chain rule sets the stage for implicit differentiation  which in turn allows us to differentiate inverse functions (and specifically the inverse trigonometric functions). This is really the top of the line when it comes to differentiation.
Analyzing functions with calculus,Differential calculus,x14aabbd0,https://www.khanacademy.org/math/differential-calculus/analyzing-func-with-calc-dc,analyzing-func-with-calc-dc,Let's put all of our differentiation abilities to use  by analyzing the graphs of various functions. As you will see  the derivative and the second derivative of a function can tell us a lot about the function's graph.
Derivative applications,Differential calculus,x923da12d,https://www.khanacademy.org/math/differential-calculus/derivative-applications-dc,derivative-applications-dc,Solve real world problems (and some pretty elaborate mathematical problems) using the power of differential calculus.
Vectors and spaces,Linear algebra,x5b1b89e0,https://api.khanacademy.org/math/linear-algebra/vectors-and-spaces,vectors-and-spaces,Let's get our feet wet by thinking in terms of vectors and spaces.
Matrix transformations,Linear algebra,x7a8cfdaa,https://api.khanacademy.org/math/linear-algebra/matrix-transformations,matrix-transformations,Understanding how we can map one set of vectors to another set.  Matrices used to define linear transformations.
Alternate coordinate systems (bases),Linear algebra,xa2a6b742,https://api.khanacademy.org/math/linear-algebra/alternate-bases,alternate-bases,We explore creating and moving between various coordinate systems.
Counting and place value,Kindergarten,xa67251d8,https://api.khanacademy.org/math/cc-kindergarten-math/cc-kindergarten-counting,cc-kindergarten-counting,Learn how to count. Say how many objects you see.  Learn about teen numbers and how to break them up.
Addition and subtraction,Kindergarten,xe14b6218,https://api.khanacademy.org/math/cc-kindergarten-math/cc-kindergarten-add-subtract,cc-kindergarten-add-subtract,Learn the basics of adding and subtracting.
Measurement and geometry,Kindergarten,x5e661ee5,https://api.khanacademy.org/math/cc-kindergarten-math/cc-kindergarten-geometry,cc-kindergarten-geometry,Learn how to compare objects based on their size.  Learn basic shapes  compare shapes  and use shapes to create new shapes.
Place value,1st grade,xaa80d2ac,https://www.khanacademy.org/math/cc-1st-grade-math/cc-1st-place-value,cc-1st-place-value,We will learn about the ones and tens place values and compare 2-digit numbers.
Addition and subtraction,1st grade,x2915748a,https://www.khanacademy.org/math/cc-1st-grade-math/cc-1st-add-subtract,cc-1st-add-subtract,First  we will learn how addition and subtraction relate.  Next  we will add and subtract numbers less than or equal to 20 and solve addition and subtraction word problems.  Finally  we will begin adding 2-digit numbers.
Measurement and data,1st grade,xf73303d8,https://www.khanacademy.org/math/cc-1st-grade-math/cc-1st-measurement-data,cc-1st-measurement-data,First  we will compare objects by length and measure objects with same-size length units without gaps or overlaps.  Next  we will read and interpret bar graphs.  Finally  we will tell time on an analog clock to the nearest hour or half-hour.
Geometry,1st grade,x6d9819ab,https://www.khanacademy.org/math/cc-1st-grade-math/cc-1st-geometry,cc-1st-geometry,First  we will identify circles  triangles  squares  rectangles  rhombuses  trapezoids  and hexagons. Then  we will break shapes into equal parts.
Place value,2nd grade,x5bbdb185,https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-place-value,cc-2nd-place-value,We will learn about the ones  tens  and hundreds place values and compare 3-digit numbers.
Addition and subtraction within 100,2nd grade,x8e913210,https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-100,cc-2nd-add-subtract-100,Learn to add and subtract two-digit numbers within 100.
Addition and subtraction within 1000,2nd grade,x694cb622,https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-1000,cc-2nd-add-subtract-1000,Learn to add and subtract two- and three-digit numbers within 1000.
Measurement and data,2nd grade,x4023aec3,https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-measurement-data,cc-2nd-measurement-data,First  we will measure length using unit squares and rulers  compare and estimate length  and solve length word problems.  Next  we will read and make picture graphs  bar graphs  and line plots.  Finally  we will tell time on analog clocks and count U.S. coins and dollars.
Geometry,2nd grade,x2d57d404,https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-geometry,cc-2nd-geometry,First  we will identify quadrilaterals  pentagons  hexagons  and octagons.  Then  we will break shapes into equal parts.
Addition and subtraction,3rd grade,x4d345626,https://api.khanacademy.org/math/cc-third-grade-math/cc-3rd-add-sub-topic,cc-3rd-add-sub-topic,Learn how to add and subtract three-digit numbers by thinking about ones  tens  and hundreds.
Multiplication and division,3rd grade,x149f953f,https://api.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic,cc-3rd-mult-div-topic,Multiplication and division are two of the most important operations to understand in math.  If you drink 2 cups of water  5 times  how much water have you drunk?  If you need to divide 9 slices of cake between 3 friends  how much cake does each friend get?
Fractions,3rd grade,x63009ec3,https://api.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic,cc-3rd-fractions-topic,This will be your first introduction to the idea of fractions.  You'll learn what they are and what they can represent.  Then in 4th and 5th grades  you'll learn to compute with them.
Measurement and geometry,3rd grade,x3b2192e4,https://api.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement,cc-third-grade-measurement,In 2nd grade  you learned to measure lengths.  Now we can measure the length around the edge of an object (perimeter) and how much "space" something takes up on a flat surface (area).
Place value and rounding,3rd grade,xb514f3b9,https://api.khanacademy.org/math/cc-third-grade-math/cc-3rd-place-value-rounding,cc-3rd-place-value-rounding,Going a bit deeper with our understanding of place value from 2nd grade.  We'll apply this knowledge to learn to round things to the nearest 10 and 100.
Addition and subtraction,4th grade,x447822a8,https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-add-sub-topic,cc-4th-add-sub-topic,Fourth grade is the time to really fine-tune your addition and subtraction skills to the point that you can add and subtract pretty much any multi-digit  whole number!
Multiplication and division,4th grade,xb55cb073,https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic,cc-4th-mult-div-topic,Let's continue on the multiplication and division adventure that was started in third grade. We'll think about multiplying and dividing with whole numbers and discover that sometimes we have a leftover  or a remainder  when we divide. These tutorials will also help you get comfortable with multiplying multi-digit numbers  long division  and solving word problems. Let's do this people!
Fractions,4th grade,xfaed0f99,https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic,cc-4th-fractions-topic,Learn how to do basic arithmetic with fractions (add  subtract  and multiply). Also learn about mixed numbers and equivalent fractions  and use this knowledge to compare fractions with unlike denominators.
Decimals,4th grade,xcc4bb0c3,https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals,cc-4th-decimals,Learn what decimal numbers are  and see how decimals are related to fractions. Along the way  find decimals on the number line  convert between fractions and decimals  and compare decimals.
Measurement and data,4th grade,x58fcadff,https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic,cc-4th-measurement-topic,When we measure anything  we do it in human-defined 'units'.  Different units were defined in different places and for different scales.  The two most common are U.S. customary units and metric units. Let's think about how to convert between and among them!  We'll also continue thinking about perimeter and area!
Geometry,4th grade,xd796b5cb,https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic,cc-4th-geometry-topic,Finally  we're getting to geometry. We've been waiting for this and hope you have been  too. The foundation of all geometry is the line--so that's a great place to start. From there we'll move into angles  quadrilaterals  and triangles. Our goal here is to get familiar with the basic concepts  skills  and applications of geometry. So jump in and let's go for a ride!
Factors multiples and patterns,4th grade,xa391e5e5,https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fact-mult-topic,cc-4th-fact-mult-topic,We know that 3x2x5 = 30.  So 2  3  and 5 are factors of 30.  30 is a multiple of each of 3  2  and 5.  If a number only has itself and 1 as factors  then the number is "prime".  Don't worry  this is explained in much more depth in the tutorials in this topic.  We will also explore some mathematical patterns.
Place value and rounding,4th grade,x4d29b2d1,https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding,cc-4th-place-value-rounding,We've been exploring place for a while  thinking about ones  tens  and hundreds. But now we're ready to tackle all whole numbers  including numbers in the thousands  millions  and beyond!
Arithmetic operations,5th grade,x59c3b242,https://api.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations,cc-5th-arith-operations,Let's begin our journey together in 5th grade with good ole fashioned arithmetic. Don't assume that this has to be boring...not at all! We're going to have fun as we learn about and practice adding  subtracting  multiplying  and dividing whole numbers and decimals. We know you're probably pretty comfortable with basic arithmetic  so we'll try to challenge you a little more in these tutorials!
Fractions,5th grade,x91cad26e,https://api.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic,cc-5th-fractions-topic,Learn to add  subtract  multiply  and divide fractions and mixed numbers.
Place value and decimals,5th grade,xdd840283,https://api.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top,cc-5th-place-value-decimals-top,To really understand how decimal numbers work  we need a deep understanding of place value. The big picture goal of these tutorials is to connect decimal place value to the idea of multiplying by 10.
Measurement and data,5th grade,x0ad7497b,https://api.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic,cc-5th-measurement-topic,If you think about it  we measure almost everything: time  distance  size  weight  volume  etc. Every THING can be measured. The question is  what unit of measurement is used and how is that unit constructed  compared  and converted? This last part is what we explore in these tutorials.
Geometry,5th grade,x6e6877f8,https://api.khanacademy.org/math/cc-fifth-grade-math/cc-5th-geometry-topic,cc-5th-geometry-topic,We're going to stick our toes into the proverbial waters of geometry! For those of you that are visual learners you'll love this topic. We'll examine all kinds of lines and shapes in the 1st  2nd  and 3rd dimensions. Topics we'll cover include the coordinate plane  plotting points  quadrilaterals  parallelograms  trapezoids  and rhombi (plural for a rhombus). Start your engines!
Algebraic thinking,5th grade,x49226f8c,https://api.khanacademy.org/math/cc-fifth-grade-math/cc-5th-algebraic-thinking,cc-5th-algebraic-thinking,Arithmetic is fun  but algebra is a blast! Look  nothing is easy the first time you try it so don't get discouraged. These tutorials will give you some straightforward explanations and examples to get you started down the road of algebraic thinking. We'll practice writing and evaluating numerical expressions  as well as seeing  interpreting  and graphing patterns and relationships between numbers. We're laying the foundation for lots of good learning ahead!
Ratios rates & percentages,6th grade,x22eef7de,https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic,cc-6th-ratios-prop-topic,Ratios  rates  and percentages are some of the most useful math concepts in real life (and what is REAL life anyway  huh?). From baking recipes to sports  these concepts wiggle their way into our lives on a daily basis.
Arithmetic operations,6th grade,xf5815416,https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations,cc-6th-arithmetic-operations,The most fundamental branch of math is arithmetic operations. It consists of adding  subtracting  multiplying  and dividing numbers. We're willing to bet that doing these operations on whole numbers is a piece of cake  but now we'll mix those numbers up with decimals and fractions. We'll also introduce the idea exponents as they become much more important moving forward. So sharpen that pencil and relax in your chair  we're going for a ride!
Negative numbers,6th grade,x347111cf,https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic,cc-6th-negative-number-topic,Negative numbers are a necessary part of our understanding of mathematics and the world. The idea of anything "negative" is often seen as "bad." Negative numbers are not only good  but they're fun! Walk through this tutorial with us and we'll show you how they are defined  interpreted  and applied. Absolute value is a type of negative number that is expressed as a positive. Confused? Don't be. We got your back.
Properties of numbers,6th grade,x673b532f,https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-factors-and-multiples,cc-6th-factors-and-multiples,Learn how to find the least common multiple (LCM) and greatest common factor (GCF).
Variables & expressions introduction,6th grade,x8ade30f9,https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables,cc-6th-expressions-and-variables,Learn what variables are and practice using them in expressions. The major concepts covered in these tutorials are substitution  the distributive property  and combining like terms.
Equations & inequalities introduction,6th grade,x98e0520f,https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities,cc-6th-equations-and-inequalities,Learn about equations and inequalities that have variables in them. These tutorials focus on solving equations and understanding solutions to inequalities.
Equivalent expressions,6th grade,x77851161,https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equivalent-exp,cc-6th-equivalent-exp,Learn how we can combine like terms and use the distributive property to create equivalent expressions.
Geometry,6th grade,xfa626edb,https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic,cc-6th-geometry-topic,Learn how to find the area  volume  and surface area of all sorts of geometric shapes. Also work with shapes on the coordinate plane.
Data and statistics,6th grade,x419abcbd,https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics,cc-6th-data-statistics,In statistics  we try to make sense of the world by collecting  organizing  analyzing  and presenting large amounts of data. For example  you may survey your friends about what tv show is most popular  but the small sample size will not give you an accurate idea of what ALL 6th graders like to watch. To do this you must survey a cross section of students from all around the country and all backgrounds. The data can then be statistically analyzed to give a more accurate picture of what tv show is most popular. So let's dive into a discussion of statistics  including box and whisker plots  bar charts  pictographs  line graphs  and dot plots.
Negative numbers addition and subtraction,7th grade,x7ef05b40,https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract,cc-7th-negative-numbers-add-and-subtract,Add and subtract negative numbers  and see how absolute value can be used to find the distance between any two numbers on the number line.
Negative numbers multiplication and division,7th grade,x4ddd8846,https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide,cc-7th-negative-numbers-multiply-and-divide,Learn to multiply and divide negative numbers. Once you've got the basics down  we'll revisit fractions  exponents  and order of operations but this time with negatives!
Fractions decimals & percentages,7th grade,xbee72d33,https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals,cc-7th-fractions-decimals,In these tutorials  we'll explore the number system. We'll convert fractions to decimals  operate on numbers in different forms  meet complex fractions  and identify types of numbers. We'll also solve interesting word problems involving percentages (discounts  taxes  and tip calculations).
Rates & proportional relationships,7th grade,x805b3a5e,https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion,cc-7th-ratio-proportion,Learn all about proportional relationships. How are they connected to ratios and rates? What do their graphs look like? What types of word problems can we solve with proportions?
Expressions equations & inequalities,7th grade,x0a8c9f98,https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions,cc-7th-variables-expressions,Bring on the algebra! Learn how to manipulate expressions and solve equations and inequalities.
Geometry,7th grade,xc1a4d524,https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry,cc-7th-geometry,Geometric shapes are all around us. The world is built with them. In this series of tutorials and exercises you'll become familiar with Euclidean geometry and terms like segments  scale drawings  parts of a circle  area  volume  angles  and geometric figures.
Statistics and probability,7th grade,x657459cb,https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics,cc-7th-probability-statistics,This introduction to probability and statistics explores probability models  sample spaces  compound events  random samples  and a whole lot more.
Numbers and operations,8th grade,x1afd9461,https://api.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations,cc-8th-numbers-operations,Math is all about numbers (like 89 and 3.14) and operations (like addition and multiplication). In these tutorials  we learn about a some new types of numbers and some new types of operations.
Solving equations with one unknown,8th grade,xdffae55c,https://api.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations,cc-8th-solving-equations,Learn how to solve more complicated  multi-step equations like 4x + 5 = 6x -7.
Linear equations and functions,8th grade,xc44ef069,https://api.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions,cc-8th-linear-equations-functions,Linear equations like y = 2x + 7 are called "linear" because they make a straight line when we graph them. These tutorials introduce you to linear relationships  their graphs  and functions.
Systems of equations,8th grade,x71149dce,https://api.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic,cc-8th-systems-topic,A "system of equations" is when we're dealing with more than one equation at the same time. These tutorials show you how to set up and solve systems of equations.
Geometry,8th grade,x7306f126,https://api.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry,cc-8th-geometry,In this topic  we will learn about special angles  such as angles between intersecting lines and triangle angles.  Next  we will learn about the Pythagorean theorem.  We will find volume of 3D shapes like spheres  cones  and cylinders.  Finally  we will learn about translations  rotations  reflections  and congruence and similarity.
Data and modeling,8th grade,xe83906b3,https://api.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data,cc-8th-data,In this topic  we will learn about scatter plots  lines of best fit  and two-way tables.
Intro to biology,Biology,x3072dc12,https://www.khanacademy.org/science/biology/intro-to-biology,intro-to-biology,New to biology? You're in the right place! Start your biological journey here.
Chemistry of life,Biology,x676dc616,https://www.khanacademy.org/science/biology/chemistry--of-life,chemistry--of-life,Learn how chemistry makes life possible! From you  to your dog  to your dinner  to the global ecosystem  all living systems are made out of atoms that obey the basic rules of chemistry. Here  you can learn about the key properties of atoms  including what particles they contain  how they are organized  and how they form chemical bonds with one another.
Water acids and bases,Biology,xad41fac7,https://www.khanacademy.org/science/biology/water-acids-and-bases,water-acids-and-bases,Where would we be without water? Well  we probably wouldn't exist at all!  Learn more about this fascinating molecule: its hydrogen bonds  its properties  and why it's a key ingredient for biological systems of all sizes. Plus  brush up on the acid-base chemistry that takes place in water (and learn how it works in your own bloodstream)!
Properties of carbon,Biology,x3b0a9408,https://www.khanacademy.org/science/biology/properties-of-carbon,properties-of-carbon,Did you know that your body is approximately 18% carbon? Learn more about carbon and why it makes a great building block for biological molecules. We'll look at the bonding properties of carbon  the structures of hydrocarbons  different types of isomerism  and some functional groups important in biology.
Macromolecules,Biology,x378be429,https://www.khanacademy.org/science/biology/macromolecules,macromolecules,There's an old saying  "You are what you eat." In some senses  this is literally true! When we eat food  we take in the large biological molecules found in the food  including carbohydrates  proteins  lipids (such as fats)  and nucleic acids (such as DNA)  and use them to power our cells and build our bodies. Dive into the different types of macromolecules  what they are made up of  and how they are built up and broken down.
Energy and enzymes,Biology,x9ad19cd0,https://www.khanacademy.org/science/biology/energy-and-enzymes,energy-and-enzymes,You  like other living systems  are an amazing energy transformer. As you move your eyes to read these words  your body is busily converting chemical energy from your lunch into kinetic energy and thermal energy (heat). Learn more about how biological energy transfers work  as well as how protein machines called enzymes direct metabolic traffic through your cells.
Structure of a cell,Biology,x165544a8,https://www.khanacademy.org/science/biology/structure-of-a-cell,structure-of-a-cell,You  my friend  are made up of cells. Lots and lots of them. Some of them are eukaryotic (human)  but many more of them are prokaryotic  thanks to the friendly bacteria of your gut  skin  and other body systems. Jump in to learn more about prokaryotic and eukaryotic cells and the complex and beautiful structures inside of them.
Membranes and transport,Biology,xdffb52d5,https://www.khanacademy.org/science/biology/membranes-and-transport,membranes-and-transport,How do the cells in your body define their boundaries (and control what comes in or goes out)? As it turns out  cells have a sophisticated and flexible barrier  the plasma membrane  and a wide array of strategies for transporting molecules in and out. Learn more about what the membrane's made of and how different types of molecules move across it.
Cellular respiration,Biology,x43050e3d,https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation,cellular-respiration-and-fermentation,How do your cells extract energy from the food that you eat? As it turns out  cells have a network of elegant metabolic pathways dedicated to just this task. Learn more about cellular respiration  fermentation  and other processes that extract energy from fuel molecules like glucose.
Photosynthesis,Biology,xcb133ebd,https://www.khanacademy.org/science/biology/photosynthesis-in-plants,photosynthesis-in-plants,There's a lot of carbon in your body - in DNA  proteins  carbohydrates  fats  and other key biological molecules. How did that carbon get there? Drumroll... photosynthesis! Learn how plants and other photosynthetic organisms use light energy to make sugars from carbon dioxide and water  bringing both chemical energy and readily usable carbon into Earth’s global ecosystem.
Cell signaling,Biology,x84061818,https://www.khanacademy.org/science/biology/cell-signaling,cell-signaling,Did you know that your cells are continually "talking" to one another? Cells communicate by sending and receiving chemical signals. This molecular conversation allows the cells in your body to coordinate their activities  forming a functional  harmonious whole (a.k.a.  you!). Learn more about the remarkable process of cell signaling.
Cell division,Biology,xc30c1ada,https://www.khanacademy.org/science/biology/cellular-molecular-biology,cellular-molecular-biology,All living things  including you  are made up of cells. Find out how cells divide through mitosis and meiosis  how the cell cycle is controlled  and how problems in cell cycle control can lead to cancer.
Classical and molecular genetics,Biology,x9576dbb9,https://www.khanacademy.org/science/biology/classical-genetics,classical-genetics,Have you ever been told that you have your mother's eyes or grandfather's nose? Learn why traits run in families and how they're passed on. We'll look at Mendel's model of inheritance  see how it's been revised and extended in the past 150 years  and get a sneak preview of the modern concept of a gene.
DNA as the genetic material,Biology,x33d4a4bd,https://www.khanacademy.org/science/biology/dna-as-the-genetic-material,dna-as-the-genetic-material,What exactly is DNA? This seemingly simple polymer  made up of just four different types of monomers  serves as the genetic material for all living organisms. For example  your DNA provides instructions for building and maintaining your unique body and can be passed on if you have children. Learn more about the discovery  structure  and synthesis of this remarkable molecule.
Central dogma (DNA to RNA to protein),Biology,xf6c99121,https://www.khanacademy.org/science/biology/gene-expression-central-dogma,gene-expression-central-dogma,How does a gene in your DNA provide instructions for building a protein? In gene expression  a DNA sequence is first copied to make an RNA molecule  which is then "decoded" to build a protein. Learn more about this remarkable process  shared by all living things.
Gene regulation,Biology,xde1031b5,https://www.khanacademy.org/science/biology/gene-regulation,gene-regulation,You have tens of thousands of genes in your genome. Does that mean your cells express all of those genes  all the time? Not by a long shot! Even an organism as simple as a bacterium must carefully regulate gene expression  ensuring that the right genes are expressed at the right time. Learn more about the mechanisms cells use to turn genes "on" and "off."
Biotechnology,Biology,x1b57989c,https://www.khanacademy.org/science/biology/biotech-dna-technology,biotech-dna-technology,What is biotechnology? Well  if you've ever taken the antibiotic penicillin or eaten bread made with yeast  you've experienced it firsthand! Biotechnology is the use of a living organism  or some component of a living system  to make a useful product. Learn more about modern biotechnology and how it is used in research and biomedical applications.
Developmental biology,Biology,x92f1df45,https://www.khanacademy.org/science/biology/developmental-biology,developmental-biology,Did you know that a frog starts out as a single cell? In fact  so do dogs  elephants  and even human beings! Learn how multicellular organisms end up with many different cell types  organized into the tissues and organs of the body.
Bacteria and archaea,Biology,xeea661d7,https://www.khanacademy.org/science/biology/bacteria-archaea,bacteria-archaea,They're everywhere. They number in the millions of trillions of trillions. They live on every surface  in every environment  and even in your gut. That's right...I'm talking about prokaryotes! Learn more about bacteria and archaea.
Viruses,Biology,x41e306aa,https://www.khanacademy.org/science/biology/biology-of-viruses,biology-of-viruses,Viruses: Are they alive? Are they dead? Are they...undead? Learn more about these fascinating (and clinically important) particles that occupy a "gray area" between living and non-living things.
Evolution and the tree of life,Biology,x2239497e,https://www.khanacademy.org/science/biology/her,her,Discover the diversity of life on Earth and the forces that shape it! In this section  you can learn about evolution  natural selection  and the tree of life  as well as basic population genetics. Special bonus: take a peek into the amazing worlds of bacteria and viruses.
History of life on Earth,Biology,xda241cdb,https://www.khanacademy.org/science/biology/history-of-life-on-earth,history-of-life-on-earth,Our planet has an amazing history spanning about 4.5 billion years! Learn more about how Earth formed  the early history of life on Earth  and the origins of humans.
Ecology,Biology,xdff2fbf6,https://www.khanacademy.org/science/biology/ecology,ecology,Why are polar bears found only in the Arctic? Why does mildew grow in your shower and not (hopefully) in your sock drawer? Learn how ecologists study the interactions between organisms and their environment  and how these interactions affect where  and in what numbers  different types of organisms are found.
Biodiversity and conservation,Biology,xadaf2584,https://www.khanacademy.org/science/biology/biodiversity-and-conservation,biodiversity-and-conservation,From penguins to palm trees to bacteria  our planet is host to an awe-inspiring diversity of organisms. Dive deep into Earth's breathtaking biodiversity  learn why this biodiversity is in peril today  and discover what you can do to protect the species and ecosystems that support human life on Earth. This content is provided by the California Academy of Sciences.
Behavioral biology,Biology,x91a2727a,https://www.khanacademy.org/science/biology/behavioral-biology,behavioral-biology,What do a dog begging for food  and ant leaving a chemical trail to food  and a human baby learning language all have in common? These are all examples of behaviors. Behavior is a crucial way that animals interact with each other and with their environment. Learn more about types of animal behaviors and how behavior is shaped by genes and environment.
Principles of physiology,Biology,x5a51621b,https://www.khanacademy.org/science/biology/principles-of-physiology,principles-of-physiology,How is your body organized? How do your organ systems work together to keep you running? What keeps your blood at the right pH or your body at the right temperature? Learn more about tissues  organs  and organ systems and the control mechanisms that keep internal conditions steady in humans and other animals.
Human biology,Biology,xb67ac68d,https://www.khanacademy.org/science/biology/human-biology,human-biology,Your body is an amazing system! The human body is made up of groups of organs  called organ systems  that work together to keep the body in balance. In this section  we'll travel from the circulatory system  to the nervous system  to the immune system and beyond. Learn about the amazing biology that keeps your body ticking!
Plant biology,Biology,xc3f49c81,https://www.khanacademy.org/science/biology/plant-biology,plant-biology,Plants may seem less interactive than animals. But they actually have many ways of responding to their environment  changing their growth or physiology to make the best use of available resources. Learn more about plants and their response to environmental cues.
Studying for the AP Biology exam?,Biology,xf6a8ce1b,https://www.khanacademy.org/science/biology/studying-for-ap-bio-exam,studying-for-ap-bio-exam,Review for the AP Biology exam by working through practice problems with Sal!
Crash Course Biology and Ecology,Biology,x761836ed,https://www.khanacademy.org/science/biology/crash-course-bio-ecology,crash-course-bio-ecology,Brush up on a wide range of biology topics  from biochemistry to mitosis to ecology  with fun and informative Crash Course videos!
Meet the biology professional,Biology,x4d60f70f,https://www.khanacademy.org/science/biology/meet-the-biology-professional,meet-the-biology-professional,Do you enjoy your biology class  like nature  have an interest in medicine  or simply feel lots of curiosity about living things? If so  you may be thinking about focusing on or majoring in biology. Learn more about what it's like to be a biologist by hearing from professionals in a wide range of fields  from primatology to personalized genetics to high school teaching!
One-dimensional motion,Physics,x4549128e,https://www.khanacademy.org/science/physics/one-dimensional-motion,one-dimensional-motion,In this tutorial we begin to explore ideas of velocity and acceleration.  We do exciting things like throw things off cliffs (far safer on paper than in real life) and see how high a ball will fly in the air.
Two-dimensional motion,Physics,xb32c33a3,https://www.khanacademy.org/science/physics/two-dimensional-motion,two-dimensional-motion,You understand velocity and acceleration well in one-dimension.  Now we can explore scenarios that are even more fun.  With a little bit of trigonometry (you might want to review your basic trig  especially what sin and cos are)  we can think about whether a baseball can clear the "green monster" at Fenway Park.
Forces and Newton's laws of motion,Physics,x85860e19,https://www.khanacademy.org/science/physics/forces-newtons-laws,forces-newtons-laws,This is the meat of much of classical physics.  We think about what a force is and how Newton changed the world's (and possibly your) view of how reality works.
Centripetal force and gravitation,Physics,x67fd0677,https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation,centripetal-force-and-gravitation,Learn about centripetal acceleration and centripetal force. Also  learn about the universal law of gravitation and gravitational orbits.
Work and energy,Physics,xbb0e99c9,https://www.khanacademy.org/science/physics/work-and-energy,work-and-energy,"Energy" is a word that's used a lot. Here  you'll learn about how it's one of the most useful concepts in physics. Along the way  we'll talk about work  kinetic energy  potential energy  conservation of energy  and mechanical advantage.
Impacts and linear momentum,Physics,xbcbeda4a,https://www.khanacademy.org/science/physics/linear-momentum,linear-momentum,Momentum ties velocity and mass into one quantity. It might not be obvious why this is useful  but momentum has this cool property where the total amount of it never changes. This is called the conservation of momentum  and we can use it to analyze collisions and other interactions. Bam!
Torque and angular momentum,Physics,x6e1d9254,https://www.khanacademy.org/science/physics/torque-angular-momentum,torque-angular-momentum,Everything you've learned about motion  forces  energy  and momentum can be reused to analyze rotating objects. There are some differences  though. Here  you'll learn about rotational motion  moments  torque  and angular momentum.
Oscillations and mechanical waves,Physics,x9e83de9f,https://www.khanacademy.org/science/physics/mechanical-waves-and-sound,mechanical-waves-and-sound,Waves are responsible for basically every form of communication we use. Whether you're talking out loud  texting on your phone  or waving to someone in a crowd there's going to be a wave transmitting information. Learn about the basics of waves in this topic  then learn more about light waves in the topics below.
Fluids,Physics,x312959d8,https://www.khanacademy.org/science/physics/fluids,fluids,Atmospheric pressure is like an invisible friend who is always squeezing you with a big hug. Learn more about pressure  buoyant force  and flowing fluid so you can appreciate the sometimes invisible  but crucial  effect they have on us and the world around us.
Thermodynamics,Physics,xacf207fb,https://www.khanacademy.org/science/physics/thermodynamics,thermodynamics,Heat can be useful  but it can also be annoying. Understanding heat and the flow of heat allows us to build heat sinks that prevent our computers from overheating  build better engines  and prevent freeway overpasses from cracking.
Electric charge field and potential,Physics,x7d6389b1,https://www.khanacademy.org/science/physics/electric-charge-electric-force-and-voltage,electric-charge-electric-force-and-voltage,Electric forces hold together the atoms and molecules in your eyes which allow you to read this sentence. Take a moment and learn about the force that holds our bodies together.
Circuits,Physics,xce59fb3b,https://www.khanacademy.org/science/physics/circuits-topic,circuits-topic,Circuits make computers  digital cameras  and video games possible. Circuits are driving an unprecedented rate of change in how we live. In this topic you'll learn about the physics behind the electronic devices we use.
Magnetic forces magnetic fields and Faraday's law,Physics,x6bdde36c,https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields,magnetic-forces-and-magnetic-fields,Magnetic fields are extremely useful. The magnetic field of the Earth shields us from harmful radiation from the Sun  magnetic fields allow us to diagnose medical problems using an MRI  and magnetic fields are a key component in generating electrical power in most power plants. In this topic you'll learn about the forces  fields  and laws that makes these and so many other applications possible.
Electromagnetic waves and interference,Physics,x1e518b33,https://www.khanacademy.org/science/physics/light-waves,light-waves,Light can seem mysterious. What is light made out of? What causes color? How do 3D movies work? Learn about some of the mysterious properties of light in these tutorials.
Geometric optics,Physics,xe70fb08c,https://www.khanacademy.org/science/physics/geometric-optics,geometric-optics,Light waves can be bent and reflected to form new and sometimes altered images. Understanding how light rays can be manipulated allows us to create better contact lenses  fiber optic cables  and high powered telescopes.
Special relativity,Physics,xf3769137,https://www.khanacademy.org/science/physics/special-relativity,special-relativity,Think you know about time and space? Think again. Einstein basically did a pile driver on all our brains when he came up with his theory of special relativity.
Quantum Physics,Physics,x41e03f03,https://www.khanacademy.org/science/physics/quantum-physics,quantum-physics,Do you want to describe the microscopic world of atoms and nuclei? Well  classical physics isn't going to cut it. You'll need quantum physics to explain things like atomic energy levels  photons  and the wavelength of electrons.
Discoveries and projects,Physics,xf830622e,https://www.khanacademy.org/science/physics/discoveries,discoveries,Rediscover the most important Scientific observations in a historical progression
Review for AP Physics 1 exam,Physics,x09a0f0f7,https://www.khanacademy.org/science/physics/review-for-ap-physics-1-exam,review-for-ap-physics-1-exam,Studying for the AP Physics 1 exam? Watch these materials to help you review.
Atoms compounds and ions,Chemistry,x8f7c17d6,https://www.khanacademy.org/science/chemistry/atomic-structure-and-properties,atomic-structure-and-properties,Chemistry is the study of matter  and all matter is made up of atoms. We will learn about elements  atomic number and mass  isotopes  moles (chemistry moles  not the animal)  and compounds.
Chemical reactions and stoichiometry,Chemistry,x6a3dc8bb,https://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiome,chemical-reactions-stoichiome,We are now going to delve into the heart of chemistry.  We learn ways of representing molecules and how molecules react.  To do this  we'll even think about "how many" of a molecule we have using a quantity called a "mole".
Electronic structure of atoms,Chemistry,x56c1bf8b,https://www.khanacademy.org/science/chemistry/electronic-structure-of-atoms,electronic-structure-of-atoms,So we know that all matter is made up of atoms  but what is an atom made out of? Chemists describe the structure of atoms using models. This section will cover the Bohr model  photoelectric effect  absorption and emission spectra  quantum numbers  and electron configurations.
Periodic table,Chemistry,xf8f83f04,https://www.khanacademy.org/science/chemistry/periodic-table,periodic-table,A little more than a century ago  the chemist Dmitri Mendeleev published an early form of the periodic table  which organizes the known elements of our world. His method of classifying the elements was so useful that we still use it even today. We will learn to apply this elegant table to an understanding of atomic structure and properties  including periodic table trends.
Chemical bonds,Chemistry,xb9f08207,https://www.khanacademy.org/science/chemistry/chemical-bonds,chemical-bonds,Chemical bonds are the glue that hold molecules together. We will learn about the different kinds of bonds  ways chemists draw bonds and molecules  and how the type of chemical bonding affects the bulk properties of a material. We will cover electronegativity  Lewis dot structures  VSEPR  bond hybridization  and ionic  covalent  and metallic bonds.
Gases and kinetic molecular theory,Chemistry,x1733c331,https://www.khanacademy.org/science/chemistry/gases-and-kinetic-molecular-theory,gases-and-kinetic-molecular-theory,Properties of gases can be modeled using some relatively simple equations  which we can relate to the behavior of individual gas molecules. We will learn about the ideal gas law  vapor pressure  partial pressure  and the Maxwell Boltzmann distribution.
States of matter and intermolecular forces,Chemistry,xc0edb053,https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces,states-of-matter-and-intermolecular-forces,Have you ever wondered how some insects are able to "skate" on the surface of water? We will learn about how intermolecular forces make this possible. We will also cover liquids  solids  mixtures  and phase changes.
Chemical equilibrium,Chemistry,x2992119b,https://www.khanacademy.org/science/chemistry/chemical-equilibrium,chemical-equilibrium,Many chemical reactions are reversible  and the forward and backward reactions can occur at the same time. When the rate of the forward reaction is equal to the rate of the backward reaction  we call that a dynamic equilibrium. We will learn how equilibrium can be described by the equilibrium constant K  and how different factors than can affect the chemical equilibrium.
Acids and bases,Chemistry,x9185c116,https://www.khanacademy.org/science/chemistry/acids-and-bases-topic,acids-and-bases-topic,In this section we will be talking about the basics of acids and bases and how acid-base chemistry is related to chemical equilibrium. We will cover acid and base definitions  pH  acid-base equilibria  acid-base properties of salts  and the pH of salt solutions.
Buffers titrations and solubility equilibria,Chemistry,xde176b3a,https://www.khanacademy.org/science/chemistry/acid-base-equilibrium,acid-base-equilibrium,We can combine our knowledge of acids and bases  equilibrium  and neutralization reactions to understand buffers and titrations. Solubility equilibria will build on concepts from solubility  precipitation  and equilibrium.
Thermodynamics,Chemistry,x3e6dac86,https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry,thermodynamics-chemistry,Thermodynamics is the study of heat  "thermo " and work  "dynamics." We will be learning about energy transfer during chemical and physical changes  and how we can predict what kind of changes will occur. Concepts covered in this tutorial include the laws of thermodynamics  internal energy  heat  work  PV diagrams  enthalpy  Hess's law  entropy  and Gibbs free energy.
Redox reactions and electrochemistry,Chemistry,x7013457b,https://www.khanacademy.org/science/chemistry/oxidation-reduction,oxidation-reduction,Oxidation and reduction reactions power your phone and make it possible for your body to use the oxygen you inhale. We will learn about oxidation states (numbers)  oxidation-reduction (redox) reactions  galvanic/voltaic cells  electrolytic cells  cell potentials  and how electrochemistry is related to thermodynamics and equilibrium.
Kinetics,Chemistry,xda541d1f,https://www.khanacademy.org/science/chemistry/chem-kinetics,chem-kinetics,Chemists are often interested in how fast a reaction will occur  and what we can do to control the rate. The study of reaction rates is called kinetics  and we will learn about average reaction rate  rate laws  the Arrhenius equation  reaction mechanisms  catalysts  and spectrophotometry.
Nuclear chemistry,Chemistry,x176cca88,https://www.khanacademy.org/science/chemistry/nuclear-chemistry,nuclear-chemistry,Ancient alchemists attempted but failed to turn different substances into gold. It turns out that the only way to turn one element into another element is using nuclear chemistry! Nuclear reactions change the composition of an atom's nucleus  and this process is useful for many applications.
Studying for the AP Chemistry exam?,Chemistry,x4f03858c,https://www.khanacademy.org/science/chemistry/studying-for-ap-chemistry-exam,studying-for-ap-chemistry-exam,Studying for the AP Chemistry exam? Watch these videos to help you prepare!
Meet the chemistry professional,Chemistry,x78a9f675,https://www.khanacademy.org/science/chemistry/meet-a-chemistry-professional,meet-a-chemistry-professional,What can you do with chemistry skills? A lot of things  it turns out! Learn about the diversity of careers available to people interested in chemistry.
Scale of the universe,Cosmology and astronomy,xf5991d77,https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic,universe-scale-topic,Things in our universe can be unimaginably large and small.  In this topic  we'll try to imagine the unimaginable!
Stars black holes and galaxies,Cosmology and astronomy,x0ba2bf5b,https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic,stellar-life-topic,Our universe is defined by stars.  This topic explores how they came to be and where they end up.  This includes a discussion of black holes and galaxies.
Earth geological and climatic history,Cosmology and astronomy,x860f890e,https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic,earth-history-topic,What is the Earth made up of and how do we know?  What causes the seasons?  Are there longer-ranging cycles in Earth's climate?
Life on earth and in the universe,Cosmology and astronomy,xc2dac31d,https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe,life-earth-universe,When and how did life emerge on Earth?  How did humanity develop a civilization?  Is there other intelligent life out there?
Human anatomy and physiology,Health and medicine,x7e1f1da3,https://api.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology,human-anatomy-and-physiology,Get introduced to the major organ systems of the human body! You’ll learn some general anatomy (a roadmap of your body)  learn how the arm bone actually connects to the shoulder bone  and how the different organs work together to keep you alive. Watch some videos  read some articles  try some flashcards  and then quiz yourself!
Advanced circulatory system physiology,Health and medicine,x3ab6bf15,https://api.khanacademy.org/science/health-and-medicine/circulatory-system,circulatory-system,Your heart sits in the middle of your chest and pumps blood from about 4 weeks after conception until the day that you die. This little pump is the size of your clenched fist and it never stops. Watch these videos to learn more about how the heart works  blood flow in arteries and veins  blood pressure  and lymphatics.
Circulatory system diseases,Health and medicine,xc0eb445e,https://api.khanacademy.org/science/health-and-medicine/circulatory-system-diseases,circulatory-system-diseases,With the heart pumping 24/7  it’s crucial that things flow smoothly (pun intended!). Unfortunately  this isn’t always the case. The underlying reasons for circulatory system problems vary from your genes to your lifestyle. To combat this growing problem in the world  we need a better understanding of these diseases.
Advanced respiratory system physiology,Health and medicine,xd590f813,https://api.khanacademy.org/science/health-and-medicine/respiratory-system,respiratory-system,With every inhale  air rushes through your windpipe to your lungs. After 20 to 30 branch points  oxygen diffuses into the liquid around the alveoli and slips into your blood. Carbon dioxide travels from the blood to the air and leaves the body when you exhale. Learn more about the respiratory system in these videos!
Respiratory system diseases,Health and medicine,x087fd35e,https://api.khanacademy.org/science/health-and-medicine/respiratory-system-diseases,respiratory-system-diseases,If any part of the respiratory system isn’t working properly  a person can be left feeling short of breath. The lungs are also exposed to the outside environment  making them prone to infections. Learn more about diseases of the lungs and how modern medicine helps to keep them healthy!
Advanced hematologic system physiology,Health and medicine,xc2c4a896,https://api.khanacademy.org/science/health-and-medicine/advanced-hematologic-system,advanced-hematologic-system,It takes 30 to 60 seconds for your blood to travel from your heart to your body and back again. Hemoglobin  the protein in our blood cells  can bind oxygen and carbon dioxide. Blood is about 45% cells and 55% plasma  so the adage “blood is thicker than water” holds true in scientific terms! Learn more about how this system works in these videos.
Hematologic system diseases,Health and medicine,x5dca0fcf,https://api.khanacademy.org/science/health-and-medicine/hematologic-system-diseases-2,hematologic-system-diseases-2,Blood acts as a highway for medicine  stops bleeding  fights infections  and much more. But things can go wrong with blood too! The many types of cells in blood means that blood diseases produce a variety of symptoms. Learn about blood diseases  how they are diagnosed  and the ways health professionals treat these conditions.
Advanced endocrine system physiology,Health and medicine,xe6b41d69,https://api.khanacademy.org/science/health-and-medicine/advanced-endocrine-system,advanced-endocrine-system,You can’t really point to any single organ as “the endocrine system ” because they’re actually a family of glands that secrete hormones into the body. Hormones travel through the bloodstream to interact with specific target cells and organs. This signaling system helps to keep the entire body well-balanced and on the same page.
Endocrine system diseases,Health and medicine,x9a21c60d,https://api.khanacademy.org/science/health-and-medicine/endocrine-system-diseases,endocrine-system-diseases,The most common endocrine system disease is Diabetes Mellitus. There are two types of diabetes that arise from distinct biological contexts. Both result in an inability to produce any or enough insulin to regulate blood glucose levels. This disease can cause problems with kidneys  eyesight  circulatory dysregulation  and more.
Advanced nervous system physiology,Health and medicine,xb5ddd610,https://api.khanacademy.org/science/health-and-medicine/nervous-system-and-sensory-infor,nervous-system-and-sensory-infor,There are about 85 billion neurons in your brain  and they’re sending electrical signals in your body right now! They tell your eyes to move across this page  interpret the words that you read  maintain your posture...all in a fraction of a second. In this section we’ll explore this vast  complex system from the cellular to the sensory level.
Nervous system diseases,Health and medicine,x942fead4,https://api.khanacademy.org/science/health-and-medicine/nervous-system-diseases,nervous-system-diseases,Being human is more than being a brain in a jar  but when things go wrong with the nervous system  the whole organism suffers. Problems with a part of your nervous system can cause you to have trouble moving  speaking  swallowing  breathing or learning. Use that grey matter to learn about Parkinson’s disease and Multiple Sclerosis.
Advanced gastrointestinal physiology,Health and medicine,xeed58500,https://api.khanacademy.org/science/health-and-medicine/gastro-intestinal-system,gastro-intestinal-system,Do you live to eat  or eat to live? Either way  no one can deny the importance of food and water in our everyday lives. The energy from food is carefully extracted through ingestion  digestion  and absorption  and requires one long tube with some organs attached. Go ahead and grab a bite to eat before we get started…
Gastrointestinal system diseases,Health and medicine,x0a1e9875,https://api.khanacademy.org/science/health-and-medicine/gastrointestinal-system-diseases,gastrointestinal-system-diseases,The second tube formed during embryonic development is the one that will form our gastrointestinal tract. It starts at the mouth  includes the esophagus  stomach  accessory organs of the gut  and intestines  but sometimes things go wrong. Be gutsy and come learn about different diseases of the gastrointestinal tract with us!
Advanced muscular-skeletal system physiology,Health and medicine,xba4fce84,https://api.khanacademy.org/science/health-and-medicine/advanced-muscular-system,advanced-muscular-system,Learn how our muscles work from the cellular level to executing a kick or a dance move. Discover how our brain tells muscle to contract  and how that helps us respond to changes in temperature or even a lion chasing us
Muscular-skeletal diseases,Health and medicine,xbc12d55f,https://api.khanacademy.org/science/health-and-medicine/muscular-skeletal-diseases,muscular-skeletal-diseases,Did anyone ever tell you that cracking your knuckles would give you arthritis? Turns out  knuckle cracking has no harmful effects  but arthritis is one of a group of diseases that affect joints  muscles  and bones called musculoskeletal diseases. In this section  you’ll learn about the symptoms  causes and treatments for these diseases.
Executive systems of the brain,Health and medicine,xcb978a6e,https://api.khanacademy.org/science/health-and-medicine/executive-systems-of-the-brain,executive-systems-of-the-brain,Aristotle said that what separates humans from other animals is our ability to engage in high reasoning. This reasoning includes problem solving  making decisions  and recalling memories. Learn about different states of consciousness and how our brain responds and adapts to stimuli.
Mental health,Health and medicine,xf84c16ab,https://api.khanacademy.org/science/health-and-medicine/mental-health,mental-health,In our culture  mental health is a crucial component of a person’s wellness. It includes our emotional  psychological  and social well-being. It helps to determine how we handle stress  relate to others  and make choices. In this section we’ll explore drug abuse  depression  dementia and so much more. Keep an open mind and join us!
Infectious diseases,Health and medicine,x25966750,https://api.khanacademy.org/science/health-and-medicine/infectious-diseases,infectious-diseases,There's an intricate dance between humans  viruses  bacteria  molds  and even tiny worms! They want to survive and replicate just like humans do... and this is why they cause infections. From the flu to HIV  we’ll explore the underlying mechanisms that these creepy crawlies use to reproduce and spread.
Lab values and concentrations,Health and medicine,x1f8c66c8,https://api.khanacademy.org/science/health-and-medicine/lab-values,lab-values,Ever wonder about your lab values and what they mean? Lab values measure amounts of electrolytes  metabolites  proteins or cells in your blood and occasionally tell you about how hormones and enzymes are working! Dive deeper and expand your understanding of concentration units used in common medical lab values as well!
Current events in health and medicine,Health and medicine,xca183e7b,https://api.khanacademy.org/science/health-and-medicine/current-issues-in-health-and-medicine,current-issues-in-health-and-medicine,The discovery of penicillin  the first true antibiotic  by Alexander Fleming in 1928 marked the beginning of a medical revolution. The history of vaccines  however  goes all the way back to the 1100’s. Learn more about some of the current issues in health and medicine including antibiotic resistance and vaccine coverage.
Health care system,Health and medicine,x07fc128c,https://api.khanacademy.org/science/health-and-medicine/health-care-system,health-care-system,The health care system in the United States is rapidly changing. To better understand these changes  we review the health care insurance  drug pricing  physician compensation  and much more! Join us as we explore the basics about the health care system in the US  including a comparison with European healthcare.
Miscellaneous,Health and medicine,x069a1823,https://api.khanacademy.org/science/health-and-medicine/healthcare-misc,healthcare-misc,Every excellent party has a goodie bag  so why can’t we? Here we have the sundry videos that didn’t quite fit anywhere else. Dive right in and get educated on some of the many odds and ends in Health and Medicine. From puberty  to the ritual of the bedside exam  we hope you leave this section satisfied  and partied out!
Introduction to electrical engineering,Electrical engineering,x92dcf0b7,https://www.khanacademy.org/science/electrical-engineering/introduction-to-ee,introduction-to-ee,A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation  and learn about the two most important electrical quantities: current and voltage.
Circuit analysis,Electrical engineering,x5ed2e43e,https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic,ee-circuit-analysis-topic,Circuit analysis is the process of finding all the currents and voltages in a network of connected components. We look at the basic elements used to build circuits  and find out what happens when elements are connected together into a circuit.
Amplifiers,Electrical engineering,xa23b5095,https://www.khanacademy.org/science/electrical-engineering/ee-amplifiers,ee-amplifiers,Amplifiers make signals bigger. Amplification is often the most basic operation of an electronic circuit. There are many kinds of amplifier designs. We will describe the operational amplifier  the building block of most analog electronics.
Semiconductor devices,Electrical engineering,x7520d812,https://www.khanacademy.org/science/electrical-engineering/ee-semiconductor-devices,ee-semiconductor-devices,
Electrostatics,Electrical engineering,x1ae4591a,https://www.khanacademy.org/science/electrical-engineering/ee-electrostatics,ee-electrostatics,Electrostatics is the study of forces between charges  as described by Coulomb's Law. We develop the concept of an electric field surrounding charges. We work through examples of the electric field near a line  and near a plane  and develop formal definitions of both *electric potential* and *voltage*.
Signals and systems,Electrical engineering,xa2487c41,https://www.khanacademy.org/science/electrical-engineering/ee-signals,ee-signals,Signals and Systems covers analog and digital signal processing  ideas at the heart of modern communication and measurement. We present the basic concepts for continuous-time and discrete-time signals in the time and frequency domains. Time and frequency are related by the Fourier transform.
Home-made robots,Electrical engineering,x7f8a9b2b,https://www.khanacademy.org/science/electrical-engineering/robots,robots,Start your own robotics project with Spout  Spider  and Bit-zee!
Lego robotics,Electrical engineering,x6714e769,https://www.khanacademy.org/science/electrical-engineering/lego-robotics,lego-robotics,Introduction to the Lego NXT robotics platform
Reverse engineering,Electrical engineering,xeb4f050d,https://www.khanacademy.org/science/electrical-engineering/reverse-engin,reverse-engin,Videos exploring the way things work.
Structure and bonding,Organic chemistry,x05fcddcb,https://www.khanacademy.org/science/organic-chemistry/gen-chem-review,gen-chem-review,Let's review the basics of chemical bonds including dot structures  hybridization  bond-line structures  electronegativity  and polarity. We will also discuss how bonding and intermolecular forces relate to physical properties such as boiling point.
Resonance and acid-base chemistry,Organic chemistry,xb32d9a90,https://www.khanacademy.org/science/organic-chemistry/organic-structures,organic-structures,Let's review how to keep track of electrons using formal charges  oxidation states  oxidation-reduction reactions  and resonance structures. We will also go over the principles of acid-base chemistry.
Alkanes cycloalkanes and functional groups,Organic chemistry,x84cadce3,https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes,bond-line-structures-alkanes-cycloalkanes,The properties of organic molecules depend on the structure  and knowing the names of organic compounds allow us to communicate with other chemists. We'll be learning about different aspects of molecular structure  including common functional groups and conformations.
Stereochemistry,Organic chemistry,xf2909c8a,https://www.khanacademy.org/science/organic-chemistry/stereochemistry-topic,stereochemistry-topic,Just like how your left foot doesn't quite fit your right shoe  molecules also can have properties that depend on their handedness! This property is called chirality. We will go over what makes a molecule chiral  stereoisomers  assigning configurations using the R S system  optical activity and Fischer projections.
Substitution and elimination reactions,Organic chemistry,x00b805dc,https://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions,substitution-elimination-reactions,Sn1  Sn2  E1  and E2 reactions form the basis for understanding why certain products are more likely to form than others. We will learn about the reaction mechanisms  and how nucleophilicity and electrophilicity can be used to choose between different reaction pathways.
Alkenes and alkynes,Organic chemistry,x53149848,https://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes,alkenes-alkynes,Alkenes and alkynes can be transformed into almost any other functional group you can name! We will review their nomenclature  and also learn about the vast possibility of reactions using alkenes and alkynes as starting materials.
Alcohols ethers epoxides sulfides,Organic chemistry,xa3d20bbd,https://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides,alcohols-ethers-epoxides-sulfides,Alcohol and thiol groups are important functional groups for applications ranging from enzyme reactions to making flexible contact lenses. We will be reviewing naming oxygen and sulfur containing compounds. Then we will be ready to learn about some reactions that involve alcohols  ethers  epoxides  thiols  and sulfides as both reactants and products.
Conjugated systems and pericyclic reactions,Organic chemistry,x6b80168b,https://www.khanacademy.org/science/organic-chemistry/conjugation-diels-alder-mo-theory,conjugation-diels-alder-mo-theory,Molecules with conjugation can undergo some interesting and useful reactions! We will be learning about the Diels-Alder reaction  including how to predict the stereochemistry and regiochemistry of the product based on the diene and dienophile.
Aromatic compounds,Organic chemistry,xa5a6b96a,https://www.khanacademy.org/science/organic-chemistry/aromatic-compounds,aromatic-compounds,The distinctive electronic structure of aromatic leads to some distinctive reactivity! We will be covering the naming of benzene derivatives  stability of aromatic compounds  electrophilic aromatic substitution  and nucleophilic aromatic substitution.
Aldehydes and ketones,Organic chemistry,x550a9280,https://www.khanacademy.org/science/organic-chemistry/aldehydes-ketones,aldehydes-ketones,Aldehydes and ketones can be starting materials for a range of other functional groups. We will be learning about the nomenclature and reactions of aldehydes and ketones  including how to use acetals as protecting groups.
Carboxylic acids and derivatives,Organic chemistry,xc8b79fc3,https://www.khanacademy.org/science/organic-chemistry/carboxylic-acids-derivatives,carboxylic-acids-derivatives,Did you know that many fruit aromas including banana (isoamyl acetate) and pineapple (ethyl butanoate) come from molecules containing ester groups? These compounds can be synthesized from carboxylic acids using a reaction called Fischer esterification. We will be covering naming carboxylic acids  as well as the diverse chemistry of carboxylic acid derivatives such as acid chlorides  amides  esters  and anhydrides.
Alpha carbon chemistry,Organic chemistry,xc048e3d5,https://www.khanacademy.org/science/organic-chemistry/ochem-alpha-carbon-chemistry,ochem-alpha-carbon-chemistry,The carbon that is one carbon away from an aldehyde or ketone group is the alpha carbon. The deceptively innocuous hydrogens bonded to the alpha carbon can be involved in some classic organic chemistry reactions such as aldol condensations. We will be learning about the formation of enolate anions  and how they can be used in Aldol condensations to build complex organic molecules.
Amines,Organic chemistry,x56be16f4,https://www.khanacademy.org/science/organic-chemistry/amines-topic,amines-topic,Amines are found in many biologically active molecules. Two examples are the charmingly named putrescine and cadaverine  which are formed by the breakdown of amino acids. We will be discussing the IUPAC nomenclature of amines.
Spectroscopy,Organic chemistry,x8adbb6ac,https://www.khanacademy.org/science/organic-chemistry/spectroscopy-jay,spectroscopy-jay,Spectroscopy is the study of how light interacts with matter. We can use spectroscopy to determine the structure and functional groups in organic compounds. We will be learning about how to use IR  UV/Vis  and NMR spectroscopy.
Atoms compounds and ions,AP Chemistry,xd9e2efaa,https://www.khanacademy.org/science/ap-chemistry/atoms-compounds-ions-ap,atoms-compounds-ions-ap,
Stoichiometry and molecular composition,AP Chemistry,x41ac360f,https://www.khanacademy.org/science/ap-chemistry/stoichiometry-and-molecular-composition-ap,stoichiometry-and-molecular-composition-ap,Learn about how to balance chemical equations  and how to use balanced chemical equations to do stoichiometry and molecular composition calculations.
Chemical reactions,AP Chemistry,xa4c95fd8,https://www.khanacademy.org/science/ap-chemistry/chemical-reactions-ap,chemical-reactions-ap,
Electronic structure of atoms,AP Chemistry,x6bd308bb,https://www.khanacademy.org/science/ap-chemistry/electronic-structure-of-atoms-ap,electronic-structure-of-atoms-ap,
Periodic table,AP Chemistry,x0a86ef48,https://www.khanacademy.org/science/ap-chemistry/periodic-table-ap,periodic-table-ap,
Chemical bonds,AP Chemistry,xbd8786b2,https://www.khanacademy.org/science/ap-chemistry/chemical-bonds-ap,chemical-bonds-ap,
States of matter and intermolecular forces,AP Chemistry,x58782d0e,https://www.khanacademy.org/science/ap-chemistry/states-of-matter-and-intermolecular-forces-ap,states-of-matter-and-intermolecular-forces-ap,
Gases and kinetic molecular theory,AP Chemistry,xa8fd6277,https://www.khanacademy.org/science/ap-chemistry/gases-and-kinetic-molecular-theory-ap,gases-and-kinetic-molecular-theory-ap,
Kinetics,AP Chemistry,x24baa270,https://www.khanacademy.org/science/ap-chemistry/kinetics-ap,kinetics-ap,
Thermodynamics,AP Chemistry,xc39ffdd0,https://www.khanacademy.org/science/ap-chemistry/thermodynamics-ap,thermodynamics-ap,
Chemical equilibrium,AP Chemistry,xd0b43483,https://www.khanacademy.org/science/ap-chemistry/chemical-equilibrium-ap,chemical-equilibrium-ap,
Acids and bases,AP Chemistry,xbb53d8ed,https://www.khanacademy.org/science/ap-chemistry/acids-and-bases-ap,acids-and-bases-ap,
Buffers titrations and solubility equilibria,AP Chemistry,xed957505,https://www.khanacademy.org/science/ap-chemistry/buffers-titrations-solubility-equilibria-ap,buffers-titrations-solubility-equilibria-ap,
Redox reactions and electrochemistry,AP Chemistry,xe7bf4ce2,https://www.khanacademy.org/science/ap-chemistry/redox-reactions-and-electrochemistry-ap,redox-reactions-and-electrochemistry-ap,In this tutorial we will learn about oxidation-reduction (or redox) reactions and how they can be used in galvanic cells and electrolysis.
Studying for the AP Chemistry exam?,AP Chemistry,xdbe6fe4f0f6a60aa,https://www.khanacademy.org/science/ap-chemistry/studying-for-ap-chemistry-exam-class,studying-for-ap-chemistry-exam-class,Studying for the AP Chemistry exam? Watch these videos to help you prepare!
Computer programming,Computing,xffde7c31,https://www.khanacademy.org/computing/computer-programming,computer-programming,Learn how to program drawings  animations  and games using JavaScript & ProcessingJS  or learn how to create webpages with HTML & CSS. You can share whatever you create  explore what others have created and learn from each other!
Computer science,Computing,x301707a0,https://www.khanacademy.org/computing/computer-science,computer-science,Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions)  cryptography (how we protect secret information)  and information theory (how we encode and compress information).
Hour of Code,Computing,x54f76d4b,https://www.khanacademy.org/computing/hour-of-code,hour-of-code,Only have an hour? Learn the basics of programming  making webpages  or creating databases.
Intro to JS Drawing & Animation,Computer programming,x05187c3c,https://api.khanacademy.org/computing/computer-programming/programming,programming,Learn how to use the JavaScript language and the ProcessingJS library to create fun drawings and animations.
Intro to HTML/CSS Making webpages,Computer programming,x7441c73b,https://api.khanacademy.org/computing/computer-programming/html-css,html-css,Learn how to use HTML and CSS to make webpages. HTML is the markup language that you surround content with  to tell browsers about headings  lists  tables  etc. CSS is the stylesheet language that you style the page with  to tell browsers to change the color  font  layout  and more.
Intro to SQL Querying and managing data,Computer programming,xcffdaa1f,https://api.khanacademy.org/computing/computer-programming/sql,sql,Learn how to use SQL to store  query  and manipulate data. SQL is a special-purpose programming language designed for managing data in a relational database  and is used by a huge number of apps and organizations.
Advanced JS Games & Visualizations,Computer programming,x89af0e82,https://api.khanacademy.org/computing/computer-programming/programming-games-visualizations,programming-games-visualizations,Once you've taken Intro to JS  go here to learn techniques to help you make multi-scene programs  3d graphics  button menus  and scored games.
Advanced JS Natural Simulations,Computer programming,xc9115e5d,https://api.khanacademy.org/computing/computer-programming/programming-natural-simulations,programming-natural-simulations,Once you've taken Intro to JS  you can go through this course to learn how to combine JS  ProcessingJS  and mathematical concepts to simulate nature in your programs.  This course is a derivative of "The Nature of Code" book by Daniel Shiffman (natureofcode.com)  used under CC BY-NC.
HTML/JS Making webpages interactive,Computer programming,xb254f8dc,https://api.khanacademy.org/computing/computer-programming/html-css-js,html-css-js,Once you've taken both Intro to JS and Intro to HTML/CSS  take this course to learn how use HTML/CSS with the JavaScript DOM API to make your webpages interactive.
HTML/JS Making webpages interactive with jQuery,Computer programming,x7d10e7ab,https://api.khanacademy.org/computing/computer-programming/html-js-jquery,html-js-jquery,Learn how to use jQuery  the world's most popular JS browser library  to add interactivity to your webpages.
Meet the professional,Computer programming,xc7cc38f7,https://api.khanacademy.org/computing/computer-programming/meet-the-computing-professional,meet-the-computing-professional,What can you do with computer science and programming skills once you've learned them? We've invited people from all around the world and the industry to introduce themselves to you. Find out how diverse our field can be!
Browse Projects,Computer programming,xf409033d,https://api.khanacademy.org/computing/computer-programming/browse,browse,
Project Feedback,Computer programming,x5e3717e0,https://api.khanacademy.org/computing/computer-programming/projectfeedback,projectfeedback,
Processing.js Documentation,Computer programming,xf9c6be8d,https://api.khanacademy.org/computing/computer-programming/pjs-documentation,pjs-documentation,
Webpage Documentation,Computer programming,x76ccd5a5,https://api.khanacademy.org/computing/computer-programming/webpage-documentation,webpage-documentation,
SQL Documentation,Computer programming,x3dea311d,https://api.khanacademy.org/computing/computer-programming/sql-documentation,sql-documentation,
Algorithms,Computer science,x4cd91b0c,https://api.khanacademy.org/computing/computer-science/algorithms,algorithms,We've partnered with Dartmouth college professors Tom Cormen and Devin Balkcom to teach introductory computer science algorithms  including searching  sorting  recursion  and graph theory. Learn with a combination of articles  visualizations  quizzes  and coding challenges.
Journey into cryptography,Computer science,x48c910b6,https://api.khanacademy.org/computing/computer-science/cryptography,cryptography,How have humans protected their secret messages through history? What has changed today?
Journey into information theory,Computer science,x3b93f104,https://api.khanacademy.org/computing/computer-science/informationtheory,informationtheory,We've always been communicating.... as we moved from signal fires  to alphabets & electricity the problems remained the same.
Internet 101,Computer science,x5a0b1882,https://api.khanacademy.org/computing/computer-science/internet-intro,internet-intro,Thanks to our partners at Code.org  you can learn how the internet works - everything from WiFi and IP addresses to cybersecurity and crime.
Drawing with code,Hour of Code,x04f30905,https://www.khanacademy.org/computing/hour-of-code/hour-of-code-tutorial,hour-of-code-tutorial,
Creating webpages,Hour of Code,xc8ebd74a,https://www.khanacademy.org/computing/hour-of-code/hour-of-html,hour-of-html,Learn the basics of HTML and CSS to make your first webpage.
Creating SQL databases,Hour of Code,x64be0ec6,https://www.khanacademy.org/computing/hour-of-code/hour-of-sql,hour-of-sql,
Hour of Code (for teachers and parents),Hour of Code,x92e93331,https://www.khanacademy.org/computing/hour-of-code/hour-of-code-for-teachers,hour-of-code-for-teachers,
Drawing with code,Hour of Code,x78867405,https://www.khanacademy.org/computing/hour-of-code/hour-of-drawing-code,hour-of-drawing-code,Learn how to make drawings in code  using the JavaScript language and ProcessingJS library.
Beginnings - 600 BCE,World history,xbb787b0695e7273c,https://www.khanacademy.org/humanities/world-history/history-beginnings,history-beginnings,Where did humans come from and how did those early communities function? How did the advent of agriculture change human society (neolithic revolution)?
600 BCE - 600 CE Second-Wave Civilizations,World history,x5b63dd0b,https://www.khanacademy.org/humanities/world-history/ancient-medieval,ancient-medieval,This period lays the foundation for much of civilization as we know it today. The classical Greeks lay the cultural foundation for Western civilization. The Achaemenid Persians under Cyrus unify much of the Middle East and Egypt. Alexander the Great unifies Greece with Persia. Later  the Roman Empire dominates the Mediterranean and Europe.
600 - 1450 Regional and interregional interactions,World history,xd89fe03483112b09,https://www.khanacademy.org/humanities/world-history/medieval-times,medieval-times,The development and expansion of Islam spurs greater cross-cultural interactions with Europe  Africa  and Asia. State-building in China. Migrations in Africa and the Pacific. Human movement spreads knowledge  goods  and disease.
1450 - 1750 Renaissance and Reformation,World history,xeb4863fd,https://www.khanacademy.org/humanities/world-history/renaissance-and-reformation,renaissance-and-reformation,A tutorial about the Protestant Reformation
1750 -1900 Enlightenment and Revolution,World history,xbb820063,https://www.khanacademy.org/humanities/world-history/1600s-1800s,1600s-1800s,Do we need kings?  Can people govern themselves?  What rights do we all have?  Can science and understanding uplift all of humanity?  This topic lays the foundation for our modern thinking about the world.  From democratic revolutions to the establishment of empires backed by industrial power.
The 20th century,World history,xf121c1dc,https://www.khanacademy.org/humanities/world-history/euro-hist,euro-hist,You cannot properly understand current world events without understanding the history of the 20th Century. This topic takes us on a journey from the end of Imperialism through two world wars and the Cold War and brings us to our modern world.
The historian's toolkit,US history,x89abc00d,https://www.khanacademy.org/humanities/us-history/historians-toolkit,historians-toolkit,Learning about history isn't all grabbing golden idols from caves and running away from giant boulders. In this tutorial  learn the skills that historians use to interpret primary documents  write strong arguments  and answer questions about the past.
Worlds collide (1491-1607),US history,xa1b371c7,https://www.khanacademy.org/humanities/us-history/precontact-and-early-colonial-era,precontact-and-early-colonial-era,The history of North America began long before Columbus set foot in a new world. But once he did  things would never be the same.
Colonial America (1607-1754),US history,xa3c36e8dc0a28407,https://www.khanacademy.org/humanities/us-history/colonial-america,colonial-america,From Jamestown until the early stirrings of the American Revolution  colonial America became the foundation of the United States.
The road to revolution (1754-1800),US history,x7246f60e,https://www.khanacademy.org/humanities/us-history/road-to-revolution,road-to-revolution,From colony to nation. Explore the dramatic events that separated the United States from Britain and the trials of the young republic and its citizens.
The early republic (1800-1848),US history,x02bfae41,https://www.khanacademy.org/humanities/us-history/the-early-republic,the-early-republic,In the early nineteenth century  the United States expanded rapidly  fueled by new technology  growing markets  and the extension of democracy to all white men. But this prosperity came at a cost  gobbling up the lands of Native Americans in the West and the labor of enslaved people in the South.
The Civil War era (1844-1877),US history,x0ad44dd5,https://www.khanacademy.org/humanities/us-history/civil-war-era,civil-war-era,A house divided against itself cannot stand. The United States could no longer remain half-slave and half-free  and the ensuing war over the fate of slavery ripped apart the nation.
The Gilded Age (1865-1898),US history,x895e810f,https://www.khanacademy.org/humanities/us-history/the-gilded-age,the-gilded-age,After the Civil War  the United States emerged as the world's foremost industrial power. With that came great wealth and great poverty.
Rise to world power (1890-1945),US history,x889f2245,https://www.khanacademy.org/humanities/us-history/rise-to-world-power,rise-to-world-power,At the end of the 19th century  the industrial might of the United States propelled it into great power status. In the early 20th century  the United States grappled with its new role in the world and the effects of the second Industrial Revolution at home.
The postwar era (1945-1980),US history,xe7a9ec7f,https://www.khanacademy.org/humanities/us-history/postwarera,postwarera,The United States emerged from World War II as the wealthiest and most powerful nation in the world. But staying on top isn't easy.
The modern era (1980-present),US history,x915e408e,https://www.khanacademy.org/humanities/us-history/modern-us,modern-us,Since the election of Ronald Reagan in 1980  the Cold War has ended and a new  global era has emerged. What does that mean for the United States?
American civics,US history,x7105f0f2,https://www.khanacademy.org/humanities/us-history/american-civics-parent,american-civics-parent,What is the Electoral College? How does Social Security work? Learn the answers to these questions and more in American civics.
Surveys of history,US history,x8d361957,https://www.khanacademy.org/humanities/us-history/history-survey,history-survey,The tutorials in this topic will take you on sweeping journeys through time so that you can get the really BIG picture for how things fit together.
AP US History skills and test strategies,AP US History,x10ec50f6,https://www.khanacademy.org/humanities/ap-us-history/general-ap-us-history-skills-and-test-strategies,general-ap-us-history-skills-and-test-strategies,Learning about history isn't all grabbing golden idols from caves and running away from giant boulders. In this tutorial  learn the skills that historians use to interpret primary documents  write strong arguments  and answer questions about the past.
Period 1 1491-1607,AP US History,xb98573ef,https://www.khanacademy.org/humanities/ap-us-history/period-1,period-1,The history of North America began long before Columbus set foot in a new world. But once he did  things would never be the same.
Period 2 1607-1754,AP US History,xbca6ec8170070c1f,https://www.khanacademy.org/humanities/ap-us-history/period-2,period-2,From Jamestown until the early stirrings of the American Revolution  colonial America became the foundation of the United States.
Period 3 1754-1800,AP US History,x54ce43b4,https://www.khanacademy.org/humanities/ap-us-history/period-3,period-3,From colony to nation. Explore the dramatic events that separated the United States from Britain and the trials of the young republic and its citizens.
Period 4 1800-1848,AP US History,x9a3b5262,https://www.khanacademy.org/humanities/ap-us-history/period-4,period-4,In the early nineteenth century  the United States expanded rapidly  fueled by new technology  growing markets  and the extension of democracy to all white men. But this prosperity came at a cost  gobbling up the lands of Native Americans in the West and the labor of enslaved people in the South.
Period 5 1844-1877,AP US History,x231c50c0,https://www.khanacademy.org/humanities/ap-us-history/period-5,period-5,A house divided against itself cannot stand. The United States could no longer remain half-slave and half-free  and the ensuing war over the fate of slavery ripped apart the nation.
Period 6 1865-1898,AP US History,xe77d3632,https://www.khanacademy.org/humanities/ap-us-history/period-6,period-6,After the Civil War  the United States emerged as the world's foremost industrial power. With that came great wealth and great poverty.
Period 7 1890-1945,AP US History,x45adaf60,https://www.khanacademy.org/humanities/ap-us-history/period-7,period-7,At the end of the 19th century  the industrial might of the United States propelled it into great power status. In the early 20th century  the United States grappled with its new role in the world and the effects of the second Industrial Revolution at home.
Period 8 1945-1980,AP US History,x97f234a1,https://www.khanacademy.org/humanities/ap-us-history/period-8,period-8,The United States emerged from World War II as the wealthiest and most powerful nation in the world. But staying on top isn't easy.
Period 9 1980-present,AP US History,x51989e11,https://www.khanacademy.org/humanities/ap-us-history/period-9,period-9,Since the election of Ronald Reagan in 1980  the Cold War has ended and a new  global era has emerged. What does that mean for the United States?
Introduction to grammar,Grammar,xe0ca96c155c17776,https://api.khanacademy.org/humanities/grammar/introduction-to-grammar,introduction-to-grammar,
Parts of speech the noun,Grammar,xbdcbacb3,https://api.khanacademy.org/humanities/grammar/parts-of-speech-the-noun,parts-of-speech-the-noun,This tutorial covers one of the English parts of speech: the noun.  (More is coming soon!  To quote user @Dhanishthaghosh  "Patience bears a golden fruit!")
Parts of speech the verb,Grammar,xa6d48e45835f6d1b,https://api.khanacademy.org/humanities/grammar/parts-of-speech-the-verb,parts-of-speech-the-verb,
Parts of speech the pronoun,Grammar,x1ce8f027f9d47d9a,https://api.khanacademy.org/humanities/grammar/parts-of-speech-the-pronoun,parts-of-speech-the-pronoun,
Parts of speech the modifier,Grammar,x40c975c4921d1f76,https://api.khanacademy.org/humanities/grammar/parts-of-speech-the-modifier,parts-of-speech-the-modifier,Modifiers  like adjectives and adverbs  describe nouns and verbs.  Let's get descriptive!  If you understand modifiers  you can learn to express yourself elegantly.
Parts of speech the preposition and the conjunction,Grammar,x2517e2876c34b409,https://api.khanacademy.org/humanities/grammar/parts-of-speech-the-preposition-and-the-conjunction,parts-of-speech-the-preposition-and-the-conjunction,Prepositions (in  out  before  after  with  without  just to name a few) help establish relationships in time  space  and among people and things. Conjunctions unite words; they attach phrases and clauses to one another.  They're super useful! Learn more about these two parts of speech here.
Punctuation the comma and the apostrophe,Grammar,xb5ae14ab96979812,https://api.khanacademy.org/humanities/grammar/punctuation-the-comma-and-the-apostrophe,punctuation-the-comma-and-the-apostrophe,Commas are the superheroes of punctuation! They can perform many different functions. Apostrophes are most often used to stand in for missing letters or to show possession. In the rarest of cases  they can be used to form plurals. Let's learn more!
Punctuation the colon semicolon and more,Grammar,xa769a544c0a5dc70,https://api.khanacademy.org/humanities/grammar/punctuation-the-colon-semicolon-and-more,punctuation-the-colon-semicolon-and-more,Colons and semicolons are two valuable pieces of punctuation that separate sentence elements from each other. Learn more about how to use them here!
Syntax sentences and clauses,Grammar,x40f2781602851b17,https://api.khanacademy.org/humanities/grammar/syntax-sentences-and-clauses,syntax-sentences-and-clauses,Syntax involves arranging words to create logical phrases  clauses  and sentences. This is a big topic  so we'll be covering a lot  including: dependent and independent clauses; simple  complex  compound  and compound-complex sentences; and phrases and clauses.
Syntax conventions of standard English,Grammar,xddab8db8d8d8f553,https://api.khanacademy.org/humanities/grammar/syntax-conventions-of-standard-english,syntax-conventions-of-standard-english,Syntax involves arranging words to create logical phrases  clauses  and sentences. This is a big topic  so we'll be covering a lot  including: subject-verb agreement  fragments  run-ons  and parallel structure.
Usage and Style,Grammar,x2943f6cbd835a967,https://api.khanacademy.org/humanities/grammar/usage-and-style,usage-and-style,This is where we'll talk about the conventions of Standard American English that aren't exactly about grammar  but about STYLE.  Harness the power of the sound of language; untangle frequently-confused words and expressions; and learn about why you probably shouldn't wear a tuxedo to a beach party.
Supply demand and market equilibrium,Microeconomics,x65e6dce0,https://api.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium,supply-demand-equilibrium,The core ideas in microeconomics.  Supply  demand and equilibrium.
Elasticity,Microeconomics,x5ff8038a,https://api.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial,elasticity-tutorial,Price elasticity of demand and supply.  How sensitive are things to change in price?
Consumer and producer surplus,Microeconomics,x9446d66b,https://api.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus,consumer-producer-surplus,
Scarcity possibilities preferences and opportunity cost,Microeconomics,x7d52cd8b,https://api.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial,choices-opp-cost-tutorial,How do you decide what to produce or trade?  How can you maximize happiness in a world of scarcity.  What are you giving up when you choose something (i.e.  opportunity cost)?
Production decisions and economic profit,Microeconomics,x6eb7f0af,https://api.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit,firm-economic-profit,Economic profit vs. accounting profit.  Average total cost (ATC) and marginal cost (MC).  Marginal product of labor (MPL).  Price discrimination.
Forms of competition,Microeconomics,x4e921a04,https://api.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic,perfect-competition-topic,
Game theory and Nash equilibrium,Microeconomics,x98f0ee09,https://api.khanacademy.org/economics-finance-domain/microeconomics/nash-equilibrium-tutorial,nash-equilibrium-tutorial,
GDP Measuring national income,Macroeconomics,x9609cd6e,https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic,gdp-topic,Circular flow of income and expenditure.  Gross domestic product.
Inflation - measuring the cost of living,Macroeconomics,xde55f2b6,https://www.khanacademy.org/economics-finance-domain/macroeconomics/inflation-topic,inflation-topic,Inflation and deflation.  CPI-U. Real and nominal return.  Phillips Curve.
Aggregate demand and aggregate supply,Macroeconomics,x5a26f530,https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic,aggregate-supply-demand-topic,Aggregate demand and aggregate supply. Keynesian thinking. Demand-pull and cost-push inflation.  Fiscal and monetary policy.
The monetary system,Macroeconomics,xba092826,https://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic,monetary-system-topic,Fractional reserve banking and the money supply.
Income and expenditure Keynesian cross and IS-LM model,Macroeconomics,x9bf02cd2,https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic,income-and-expenditure-topic,Consumption function.  Marginal propensity to consume and multiplier.  Keynesian Cross and IS-LM model.
Foreign exchange and trade,Macroeconomics,xc30c12c0,https://www.khanacademy.org/economics-finance-domain/macroeconomics/forex-trade-topic,forex-trade-topic,Balance of payments.  Current account.  Capital account.  Currency reserves and speculative attacks.
Interest and debt,Finance and capital markets,xb9498306,https://api.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial,interest-tutorial,
Housing,Finance and capital markets,x1f4c64fb,https://api.khanacademy.org/economics-finance-domain/core-finance/housing,housing,
Inflation,Finance and capital markets,xc29ba30c,https://api.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial,inflation-tutorial,
Taxes,Finance and capital markets,x3fcefa26,https://api.khanacademy.org/economics-finance-domain/core-finance/taxes-topic,taxes-topic,
Accounting and financial statements,Finance and capital markets,xc788cc9a,https://api.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme,accounting-and-financial-stateme,
Stocks and bonds,Finance and capital markets,xf81b84d6,https://api.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds,stock-and-bonds,
Investment vehicles insurance and retirement,Finance and capital markets,x7568a183,https://api.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial,investment-vehicles-tutorial,Let your money travel through time! Investment vehicles let you spend money now to get more money later (they usually have nothing to do with cars). Insurance is a way of spending money now to protect against future losses.
Money banking and central banks,Finance and capital markets,xc1e8c32f,https://api.khanacademy.org/economics-finance-domain/core-finance/money-and-banking,money-and-banking,
Options swaps futures MBSs CDOs and other derivatives,Finance and capital markets,xcbcda7d7,https://api.khanacademy.org/economics-finance-domain/core-finance/derivative-securities,derivative-securities,
Current economics,Finance and capital markets,x8c96df53,https://api.khanacademy.org/economics-finance-domain/core-finance/current-economics,current-economics,Discussions of current events and how they relate to economic topics.
Interviews with entrepreneurs,Entrepreneurship,x4fc8c4e3,https://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs,interviews-entrepreneurs,Personal lessons and insights from accomplished entrepreneurs are the basis of this interview series produced by the Ewing Marion Kauffman Foundation and Khan Academy.
Full-length SAT,SAT,x2cc75188,https://api.khanacademy.org/test-prep/sat/full-length-sat-1,full-length-sat-1,Download and take a real  full-length practice test. Watch videos showing step-by-step solutions to problems you missed or found challenging  and get even more practice with unreleased questions from real SATs provided by College Board.   After all that practice  it wouldn't hurt to take the full-length test again so you can get used to the feeling of answering all of the questions correctly. Rock on!
SAT Math practice,SAT,x8cb799e4,https://api.khanacademy.org/test-prep/sat/sat-math-practice,sat-math-practice,In these tutorials  we walk through solving tons of practice problems covering all of the skills you’ll need for the SAT Math sections. The examples are split by difficulty level on the SAT.   Then use Official SAT Practice on Khan Academy to answer practice questions tailored just for you.   Onward!
SAT Reading and Writing practice,SAT,xa142ef20,https://api.khanacademy.org/test-prep/sat/sat-reading-writing-practice,sat-reading-writing-practice,In these tutorials  we walk through SAT Reading and Writing questions  both as passages and in focusing on the specific skills you’ll need. The examples are split by difficulty level on the SAT.   Then use Official SAT Practice on Khan Academy to answer practice questions tailored just for you.   Onward!
SAT Tips & Strategies,SAT,x0e08d2c0,https://api.khanacademy.org/test-prep/sat/new-sat-tips-planning,new-sat-tips-planning,Learn about the new SAT and get tips for preparing for the test.
Critical analysis and reasoning skills practice questions,MCAT,x5e1059d5,https://api.khanacademy.org/test-prep/mcat/critical-analysis-and-reasoning-skills-practice-questions,critical-analysis-and-reasoning-skills-practice-questions,
Biological and Biochemical Foundations of Living Systems Passages,MCAT,x6ceb02de,https://api.khanacademy.org/test-prep/mcat/biological-sciences-practice,biological-sciences-practice,Go ahead and practice some passage-based questions!
Chemical and Physical Foundations of Biological Systems Passages,MCAT,xe32cf3b7,https://api.khanacademy.org/test-prep/mcat/physical-sciences-practice,physical-sciences-practice,Go ahead and practice some passage-based questions!
Psychological Social and Biological Foundations of Behaviors Passages,MCAT,xf75fcd0c,https://api.khanacademy.org/test-prep/mcat/social-sciences-practice,social-sciences-practice,Go ahead and practice some passage-based questions!
Biomolecules,MCAT,xed868407,https://api.khanacademy.org/test-prep/mcat/biomolecules,biomolecules,Foundational Concept 1: Biomolecules have unique properties that determine how they contribute to the structure and function of cells  and how they participate in the processes necessary to maintain life.
Cells,MCAT,xffad9795,https://api.khanacademy.org/test-prep/mcat/cells,cells,Foundational Concept 2: Highly-organized assemblies of molecules  cells  and organs interact to carry out the functions of living organisms
Organ systems,MCAT,xab69e2b0,https://api.khanacademy.org/test-prep/mcat/organ-systems,organ-systems,Foundational Concept 3: Complex systems of tissues and organs sense the internal and external environments of multicellular organisms  and through integrated functioning  maintain a stable internal environment within an ever-changing external environment.
Physical processes,MCAT,xa7e68c2d,https://api.khanacademy.org/test-prep/mcat/physical-processes,physical-processes,Foundational Concept 4: Complex living organisms transport materials  sense their environment  process signals  and respond to changes using processes that can be understood in terms of physical principles.
Chemical processes,MCAT,x0054fc82,https://api.khanacademy.org/test-prep/mcat/chemical-processes,chemical-processes,Foundational Concept 5: The principles that govern chemical interactions and reactions form the basis for a broader understanding of the molecular dynamics of living systems.
Processing the environment,MCAT,x0ec6ab0d,https://api.khanacademy.org/test-prep/mcat/processing-the-environment,processing-the-environment,Foundational Concept 6: Biological  psychological  and socio-cultural factors influence the ways that individuals perceive  think about  and react to the world.
Behavior,MCAT,x6a06eaee,https://api.khanacademy.org/test-prep/mcat/behavior,behavior,Foundational Concept 7: Biological  psychological  and socio-cultural factors influence behavior and behavior change.
Individuals and society,MCAT,x967db583,https://api.khanacademy.org/test-prep/mcat/individuals-and-society,individuals-and-society,Foundational Concept 8: Psychological  socio-cultural  and biological factors influence the way we think about ourselves and others.
Society and culture,MCAT,xfee83fcc,https://api.khanacademy.org/test-prep/mcat/society-and-culture,society-and-culture,Foundational Concept 9: Cultural and social differences influence well-being.
Social inequality,MCAT,xcf805794,https://api.khanacademy.org/test-prep/mcat/social-inequality,social-inequality,Foundational concept 10: Social stratification and access to resources influence well-being.
NCLEX-RN practice questions,NCLEX-RN,xe1d768d0,https://www.khanacademy.org/test-prep/nclex-rn/nclex-practice-questions,nclex-practice-questions,A collection of questions from content covered on the NCLEX-RN.
Circulatory system physiology,NCLEX-RN,x23896294,https://www.khanacademy.org/test-prep/nclex-rn/nclex-rn-circulatory-system,nclex-rn-circulatory-system,Your heart sits in the middle of your chest and pumps blood from about 4 weeks after conception until the day that you die. This little pump is the size of your clenched fist and it never stops. Watch these videos to learn more about how the heart works  blood flow in arteries and veins  blood pressure  and lymphatics.
Circulatory system diseases,NCLEX-RN,xee2cdbc6,https://www.khanacademy.org/test-prep/nclex-rn/rn-cardiovascular-diseases,rn-cardiovascular-diseases,With the heart pumping 24/7  it’s crucial that things flow smoothly (pun intended!). Unfortunately  this isn’t always the case. The underlying reasons for circulatory system problems vary from your genes to your lifestyle. To combat this growing problem in the world  we need a better understanding of these diseases.
Respiratory system physiology,NCLEX-RN,x2169aaf4,https://www.khanacademy.org/test-prep/nclex-rn/rn-respiratory-system,rn-respiratory-system,With every inhale  air rushes through your windpipe to your lungs. After 20 to 30 branch points  oxygen diffuses into the liquid around the alveoli and slips into your blood. Carbon dioxide travels from the blood to the air and leaves the body when you exhale. Learn more about the respiratory system in these videos!
Respiratory system diseases,NCLEX-RN,x5c6eec6c,https://www.khanacademy.org/test-prep/nclex-rn/rn-respiratory-system-diseases,rn-respiratory-system-diseases,Our lungs are composed of a bronchial tree (think of an upside down tree with millions of leaves)  blood vessels bringing blood in and out  and a protein-rich fluid that forms a matrix holding everything together! If any part of this well-balanced organ isn’t working properly  a person can be left feeling short of breath. The lungs are also exposed to the outside environment  making them prone to infections. To counter infections  the lungs are lined with cells that have tiny protein bristles which wave back and forth and can literally sweep away dangerous bacteria. Learn more about diseases of the lungs and how modern medicine helps to keep them healthy!
Hematologic system diseases,NCLEX-RN,x1b75a26c,https://www.khanacademy.org/test-prep/nclex-rn/hematologic-system-diseases,hematologic-system-diseases,Blood acts as a highway for medicine  stops bleeding  fights infections  and much more. But things can go wrong with blood too! The many types of cells in blood means that blood diseases produce a variety of symptoms. Learn about blood diseases  how they are diagnosed  and the ways health professionals treat these conditions.
Endocrine system physiology,NCLEX-RN,x27c57698,https://www.khanacademy.org/test-prep/nclex-rn/rn-endocrine-system,rn-endocrine-system,You can’t really point to any single organ as “the endocrine system ” because it’s actually a family of glands that secrete hormones into the body. Hormones travel through the bloodstream to interact with specific target cells and organs. This signaling system helps to keep the entire body well-balanced and on the same page.
Endocrine system diseases,NCLEX-RN,x5757eba6,https://www.khanacademy.org/test-prep/nclex-rn/rn-endocrine-system-diseases,rn-endocrine-system-diseases,The most common endocrine system disease is Diabetes Mellitus. There are two types of diabetes that arise from distinct biological contexts. Both result in an inability to produce enough insulin to regulate blood glucose levels. This disease can cause problems with kidneys  eyesight  circulatory dysregulation  and more.
Lymphatic system physiology,NCLEX-RN,x0387b39d,https://www.khanacademy.org/test-prep/nclex-rn/rn-lymphatic-system,rn-lymphatic-system,Your heart pumps about 20 L of blood a day through your body. The plasma component of blood leaks out through capillaries and is mostly reabsorbed. However  about 3 L of the plasma is left behind in fluid surrounding tissues  and it is the job of the hard-working lymphatic system to bring back this fluid to the circulatory system.
Immune system physiology,NCLEX-RN,x53dd26d4,https://www.khanacademy.org/test-prep/nclex-rn/rn-immune-system,rn-immune-system,Chances are you’ve had a fever or a cough before. Ever wondered why your body reacts this way? Your body has a deadly arsenal of specialized cells that destroy invaders through mechanisms such as consumption  expulsion  and degradation. You will learn about the numerous soldiers in your body’s army and how they keep you healthy!
Renal system physiology,NCLEX-RN,x171f3f90,https://www.khanacademy.org/test-prep/nclex-rn/rn-renal-system,rn-renal-system,If you want to learn more about the renal system  then urine the right place (pun intended)! Every thirty minutes  your kidneys filter you entire blood supply and remove toxic wastes. These paired organs are key to maintaining electrolyte and water homeostasis in your body.
Gastrointestinal system physiology,NCLEX-RN,xc71f254f,https://www.khanacademy.org/test-prep/nclex-rn/rn-gastrointestinal-system,rn-gastrointestinal-system,Do you live to eat  or eat to live? Either way  no one can deny the importance of food and water in our everyday lives. The energy from food is carefully extracted through ingestion  digestion  and absorption  and requires one long tube with some organs attached. Go ahead and grab a bite to eat before we get started…
Gastrointestinal system diseases,NCLEX-RN,xef1c7e6c,https://www.khanacademy.org/test-prep/nclex-rn/gastrointestinal-diseases,gastrointestinal-diseases,The second tube formed during embryonic development is the one that will form our gastrointestinal tract. It starts at the mouth  includes the esophagus  stomach  accessory organs of the gut  and intestines  but sometimes things go wrong. Be gutsy and come learn about different diseases of the gastrointestinal tract with us!
Muscular-skeletal system physiology,NCLEX-RN,x34eebc2e,https://www.khanacademy.org/test-prep/nclex-rn/rn-muscular-system,rn-muscular-system,Learn how our muscles work from the cellular level to executing a kick or a dance move. Discover how our brain tells muscle to contract  and how that helps us respond to changes in temperature or even a lion chasing us.
Muscular-skeletal diseases,NCLEX-RN,xebb88c26,https://www.khanacademy.org/test-prep/nclex-rn/rn-muscular-skeletal-diseases,rn-muscular-skeletal-diseases,Did anyone ever tell you that cracking your knuckles would give you arthritis? Turns out  knuckle cracking has no harmful effects  but arthritis is one of a group of diseases that affect joints  muscles  and bones called musculoskeletal diseases. In this section  you’ll learn about the symptoms  causes and treatments for these diseases.
Nervous system physiology,NCLEX-RN,x768a2fe5,https://www.khanacademy.org/test-prep/nclex-rn/nervous-system-phy,nervous-system-phy,There are about 85 billion neurons in your brain  and they’re sending electrical signals in your body right now! They tell your eyes to move across this page  interpret the words that you read  maintain your posture...all in a fraction of a second. In this section we’ll explore this vast  complex system from the cellular to the sensory level.
Nervous system diseases,NCLEX-RN,xaf7ed241,https://www.khanacademy.org/test-prep/nclex-rn/rn-nervous-system-diseases,rn-nervous-system-diseases,Being human is more than being a brain in a jar  but when things go wrong with the nervous system  the whole organism suffers. Problems with a part of your nervous system can cause you to have trouble moving  speaking  swallowing  breathing or learning. Use that grey matter to learn about Parkinson’s disease and Multiple Sclerosis.
Integumentary system physiology,NCLEX-RN,x793ec0cd,https://www.khanacademy.org/test-prep/nclex-rn/rn-integumentary-system-physiology,rn-integumentary-system-physiology,Yes  skin makes us look nicer than a bag of bones  muscles  and organs  but it also serves other important functions such as guarding the body against infection  facilitating sensation  and allowing for metabolism of vitamin D. We will explore the structure and function of skin from the macroscopic to the microscopic level.
Reproductive system physiology,NCLEX-RN,x55e9cb9a,https://www.khanacademy.org/test-prep/nclex-rn/rn-reproductive-system-physiology,rn-reproductive-system-physiology,Our genes are survivors. Some of your genes are exactly the same as the ones your great-great-great-grandmother had! But how did they get to you? Starting with sexual reproduction and ending with the development of a baby  we’re going to journey from our own microscopic beginning to a fully formed infant entering the world.
Infectious diseases,NCLEX-RN,x30548204,https://www.khanacademy.org/test-prep/nclex-rn/rn-infectious-diseases,rn-infectious-diseases,There's an intricate dance between humans  viruses  bacteria  molds  and even tiny worms! They want to survive and replicate just like humans do... and this is why they cause infections. From the flu to HIV  we’ll explore the underlying mechanisms that these creepy crawlies use to reproduce and spread.
Mental health,NCLEX-RN,x83cbc720,https://www.khanacademy.org/test-prep/nclex-rn/rn-mental-health,rn-mental-health,Mental health is a crucial component of a person’s wellness. It includes our emotional  psychological  and social well-being. It helps to determine how we handle stress  relate to others  and make choices. In this section we’ll explore drug abuse  depression  dementia and so much more. Keep an open mind and join us!
Problem solving,GMAT,x75c53e99,https://www.khanacademy.org/test-prep/gmat/problem-solving,problem-solving,Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005)
Data sufficiency,GMAT,x2f623f20,https://www.khanacademy.org/test-prep/gmat/data-sufficiency,data-sufficiency,Sal works through the 155 data sufficiency questions in chapter 6 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005)
IIT JEE,IIT JEE,x859feb00,https://www.khanacademy.org/test-prep/iit-jee-subject/iit-jee,iit-jee,Questions from previous IIT JEEs