Vectors and spaces (Khan Academy)

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Let’s get our feet wet by thinking in terms of vectors and spaces. (1) Vectors Vector intro for linear algebra Real coordinate spaces Adding vectors algebraically & graphically Multiplying a vector by a scalar Vector examples Scalar multiplication Unit vector notation Unit vectors Add & subtract vectors Add vectors: magnitude & direction to component Parametric […]

Introduction to polynomials (Khan Academy)

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Learn how to add, subtract, and multiply polynomial expressions. For example, write (2x+3)(x-1) as 2x²+x-3. (1) Intro to polynomials The parts of polynomial expressions Evaluating polynomials Simplifying polynomials (2) Adding & subtracting polynomials Adding polynomials Add polynomials Subtracting polynomials Subtract polynomials Polynomial subtraction & set closure Adding & subtracting multiple polynomials Add & subtract polynomials […]

Expressions with rational exponents and radicals (Khan Academy)

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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. (1) Introduction to rational exponents and radicals Intro to rational exponents Radicals and exponents Rational exponents: unit fractions Rewriting roots as rational exponents Evaluating […]

Systems of linear equations (Khan Academy)

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Learn how to interpret solutions to systems of linear equations and solve them. (1) Introduction to systems of linear equations Systems of equations: trolls, tolls (1 of 2) Testing a solution to a system of equations Test solutions to systems of equations (2) Graphical representation of systems of equations Systems of equations: trolls, tolls (2 […]

One-variable linear equations (Khan Academy)

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Learn how to solve linear equations that contain a single variable. For example, solve 2(x+3)=(4x-1)/2+7. (1) Algebraic equations basics Variables, expressions, & equations Testing solutions to equations Intro to equations Testing solutions to equations (2) Why we do the same thing to both sides of an equation Same thing to both sides of equations Representing […]

Fractions (Khan Academy)

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Understanding fractions conceptually, using operations with fractions, and converting fractions. (1) Understanding fractions Introduction to fractions Identifying fraction parts Recognizing fractions exercise Recognize fractions 1 Identifying numerators and denominators Identify numerators and denominators Plotting basic fractions on the number line Fractions on the number line Fraction word problem: pizza Add and subtract fractions: word problems […]

Decimals (Khan Academy)

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Understanding decimals conceptually, using operations with decimals, rounding and estimating with decimals, and converting decimals. (1) Conceptualizing decimals and place notation Decimal place value Decimals in written form 1 Decimals in written form 2 Decimals in expanded form 1 Decimals in expanded form 2 Decimals in expanded form Comparing decimal place values Compare decimal place […]

Negative numbers and absolute value (Khan Academy)

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Extending our understanding of numbers below 0. Thinking about “absolute” distance from 0. (1) Negative number basics Intro to negative numbers Negative numbers on the number line Missing numbers on the number line examples Missing numbers on the number line Ordering negative numbers Ordering negative numbers Number opposites (2) Adding and subtracting negative numbers Number […]

Addition and subtraction (Khan Academy)

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Adding and subtracting positive and negative whole numbers. Starts with 1+1=2 and covers carrying, borrowing, and word problems. (1) Intro to addition and subtraction Basic addition Add within 5 Basic subtraction Subtract within 5 (2) Adding and subtracting within 20 Example: Adding two digit numbers (no carrying) Add within 20 Subtraction 2 Subtracting 14 – […]

Numbers and operations (Khan Academy)

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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. (1) Repeating decimals Converting a fraction to a repeating decimal Writing fractions as repeating decimals Converting repeating decimals to fractions (part 1 […]