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It is our mission to accelerate learning for students of all ages. With this in mind, we want to share
our content with whoever may find it useful. Below are our videos that are integrated with our
exercise modules. We don't cover all math topics yet, but we hope to. Let us know if you find this useful and
have any requests or suggestions (email sal@khanacademy.org).
If you would like access to the full Khan Academy software application, let your math teacher or school administration know.
It is completely free, but we prefer to add students on a class-wide or school-wide basis.
Arithmetic |
| Introduction to addition. Multiple visual ways to represent addition. |
| Adding a 2 digit number to a 1 digit number. Introduction to carrying. |
| Adding decimals |
| Subtraction of multi-digit numbers involving borrowing |
| An explanation of why (not how) borrowing/regrouping works when subtracting numbers |
| Subtracting decimal numbers |
| 2 examples of multiplying a 3 digit number times a 2 digit number. 1 example of multiplying a 3 digit number times a 3 digit number. |
| Multiplying decimals |
| Dividing a two digit number into a larger number |
| Dividing decimal numbers |
Pre-Algebra |
| Adding/Subtracting negative numbers |
| Multiplying and dividing negative numbers |
| Using the order of operations to evaluate expressions |
| More order of operations examples |
| Four example problems of determining the greatest common factor of two numbers by factoring the two numbers first |
| Example of figuring out the least common multiple of two nunmbers |
| Introduces the concept of equivalent fractions |
| How to add and subtract fractions. |
| Converting mixed numbers to improper fractions and improper fractions to mixed numbers |
| Multiplying fractions |
| Dividing fractions |
| Metric unit conversion |
| Translating speed units |
| Expressing percentages as decimals. Expressing decimals as percentages. |
| How to express a fraction as a decimal |
| Ordering numbers expressed as decimals, fractions, and percentages |
| Basic Exponents |
| An introduction to logarithms |
| Negative exponents |
| Fractional exponents |
| Introduction to exponent rules |
| 2 more exponent rules with an introduction to composite problems |
| Using exponent rules to simplify radicals or square roots |
Algebra I |
| Linear equations 1. Basic Equations of the form AX=B |
| Linear equations 2. Solving equations of the form AX+B=C |
| Linear equations with multiple variable and constant terms |
| Solving linear equations with variable expressions in the denominators of fractions |
| Graphing linear equations |
| Getting a feel for slope and y-intercept |
| Figuring out the slope of a line |
| Second part of determining the slope of a line |
| Part 3 of slope |
| Determining the equation of a line |
| Introduction to multiplying expressions (like (Ax+By)(Ax+By)) |
| Solving linear inequalities. |
| Basic ratio problems. |
| More advanced ratio problems |
| Systems of equations |
| Introduction to averages and algebra problems involving averages. |
| Adding sums of consecutive integers |
| Taking percentages of a number. |
| More percent problems |
| Even more percent problems |
| Age word problems |
| Second set of age word problems |
| Part 3 of the presentation on age word problems |
Algebra II |
| Factoring quadratics |
| Introduction to i. Raising i to arbitrary exponents. |
| Introduction to using the quadratic equation to solve 2nd degree polynomials |
| 2 more examples of solving equations using the quadratic equation |
| Another way to solve quadratic inequalities (that might be easier to understand) |
| Solving quadratic inequalities using factoring |
| An introduction to functions. |
| More examples of solving function problems |
| Even more examples of function exercises. Introduction of a graph as definition of a function. |
| Figuring out the domain of a function |
Geometry |
| Right triangles and the Pythagorean Theorem |
| More Pythagorean Theorem examples. Introduction to 45-45-90 triangles. |
| Introduction to 45-45-90 Triangles |
| A few more 45-45-90 examples and an introduction to 30-60-90 triangles. |
| More examples using 30-60-90 triangles. |
Trigonometry |
| What a radian is. Converting radians to degrees and vice versa. |
| An introduction to trigonometric functions: sine, cosine, and tangent. |
| Another example of figuring out the sine, cosine, and tangent of an angle in a right triangle |
| Using Trigonometric functions to solve the sides of a right triangle |
| A couple of more examples of using Trig functions to solve the sides of a triangle. |
| Using the unit circle to define the sine, cosine, and tangent functions |
| Using the unit circle to extend the SOH CAH TOA definition of the basic trigonometric functions. |
| Using the unit circle definition of the sine function to make a graph of it. |
| Exploring the graphs of trig functions |
| Determining the equations of trig functions by inspecting their graphs. |
| Determining the amplitude and period of sine and cosine functions. |
Pre-Calculus |
| Introduction to the intuition behind limits |
| Some limit exercises |
| Limit Examples (part 2) |
| Limit Examples (part3) |
Calculus |
| Finding the slope of a tangent line to a curve (the derivative). |
| More intuition of what a derivative is. Using the derivative to find the slope at any point along f(x)=x^2 |
| Determining the derivatives of simple polynomials. |
| Part 4 of derivatives. Introduction to the chain rule. |
| Examples using the Chain Rule |
| Even more examples using the chain rule. |
| The product rule. Examples using the Product and Chain rules. |
| Why the quotient rule is the same thing as the product rule. Introduction to the derivative of e^x, ln x, sin x, cos x, and tan x |
| More examples of taking derivatives |
| An introduction to indefinite integration of polynomials. |
| Examples of taking the indefinite integral (or anti-derivative) of polynomials. |
| Integration by doing the chain rule in reverse. |
| Integration by substitution (or the reverse-chain-rule) |
| Using the definite integral to solve for the area under a curve. Intuition on why the antiderivative is the same thing as the area under a curve. |
| More on why the antiderivative and the area under a curve are essentially the same thing. |
| Even more on why the antiderivative and the area under a curve are essentially the same thing. |
| Examples of using definite integrals to find the area under a curve |
| More examples of using definite integrals to calculate the area between curves |
| Introduction to Integration by Parts (kind of the reverse-product rule) |
| Example using Integration by Parts |
| Another example using integration by parts. |
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