If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Integrated math 3

10,900 possible mastery points
Mastered
Proficient
Familiar
Attempted
Not started
Quiz
Unit test

Welcome to Integrated math 3!

The integrated pathway of courses (Math 1, 2, and 3) covers the same topics as the traditional pathway (Algebra 1, Geometry, and Algebra 2). Math 1, Math 2, and Math 3 each contain elements of algebra, geometry, and statistics, so the content is more interwoven.

Unit 1: Polynomial arithmetic

Intro to polynomials: Polynomial arithmeticAverage rate of change of polynomials: Polynomial arithmeticAdding and subtracting polynomials: Polynomial arithmetic
Multiplying monomials by polynomials: Polynomial arithmeticMultiplying binomials by polynomials: Polynomial arithmeticSpecial products of polynomials: Polynomial arithmetic

Unit 2: Polynomial factorization

Factoring monomials: Polynomial factorizationGreatest common factor: Polynomial factorizationTaking common factors: Polynomial factorization
Factoring higher degree polynomials: Polynomial factorizationFactoring using structure: Polynomial factorizationPolynomial identities: Polynomial factorizationGeometric series: Polynomial factorization

Unit 3: Polynomial division

Dividing polynomials by x: Polynomial divisionDividing quadratics by linear factors: Polynomial divisionDividing polynomials by linear factors: Polynomial division
Polynomial remainder theorem: Polynomial division

Unit 4: Polynomial graphs

Zeros of polynomials: Polynomial graphsPositive and negative intervals of polynomials: Polynomial graphsEnd behavior of polynomials: Polynomial graphs
Putting it all together: Polynomial graphs

Unit 5: Logarithms

Introduction to logarithms: LogarithmsThe constant e and the natural logarithm: LogarithmsProperties of logarithms: Logarithms
Change of base formula for logarithms: LogarithmsSolving exponential equations with logarithms: LogarithmsSolving exponential models: Logarithms

Unit 6: Transformations of functions

Shifting functions: Transformations of functionsReflecting functions: Transformations of functionsSymmetry of functions: Transformations of functionsScaling functions: Transformations of functions
Putting it all together: Transformations of functionsGraphs of square and cube root functions: Transformations of functionsGraphs of exponential functions: Transformations of functionsGraphs of logarithmic functions: Transformations of functions

Unit 7: Equations

Rational equations: EquationsSquare-root equations: EquationsExtraneous solutions: Equations
Cube-root equations: EquationsQuadratic systems: EquationsSolving equations by graphing: Equations

Unit 8: Trigonometry

Law of sines: TrigonometryLaw of cosines: TrigonometrySolving general triangles: TrigonometryUnit circle introduction: TrigonometryRadians: TrigonometryThe Pythagorean identity: Trigonometry
Trigonometric values of special angles: TrigonometryGraphs of sin(x), cos(x), and tan(x): TrigonometryAmplitude, midline, & period: TrigonometryTransforming sinusoidal graphs: TrigonometryGraphing sinusoidal functions: TrigonometrySinusoidal models: Trigonometry

Unit 9: Modeling

Modeling with function combination: ModelingInterpreting features of functions: ModelingManipulating formulas: Modeling
Modeling with two variables: ModelingModeling with multiple variables: Modeling

Unit 10: Study Design

Samples and surveys: Study DesignObservational studies and experiments: Study Design

Unit 11: Binomial probability

Mastery unavailable
Binomial probability: Binomial probability

Unit 12: Normal distributions

Mastery unavailable
Normal distributions: Normal distributions

Unit 13: Rational functions

Cancelling common factors: Rational functionsEnd behavior of rational functions: Rational functionsDiscontinuities of rational functions: Rational functionsGraphs of rational functions: Rational functions
Modeling with rational functions: Rational functionsMultiplying & dividing rational expressions: Rational functionsAdding subtracting rational expressions intro: Rational functionsAdding subtracting rational expressions (factored): Rational functionsAdding subtracting rational expressions (not factored): Rational functions
Course challengeTest your knowledge of the skills in this course.Start Course challenge
Community questions