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 1

Welcome to Integrated math 1!

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.

Algebra foundations

Overview and history of algebra: Algebra foundationsIntroduction to variables: Algebra foundationsSubstitution and evaluating expressions: Algebra foundations
Combining like terms: Algebra foundationsIntroduction to equivalent expressions: Algebra foundationsDivision by zero: Algebra foundations

Solving equations & inequalities

Linear equations with variables on both sides: Solving equations & inequalitiesLinear equations with parentheses: Solving equations & inequalitiesAnalyzing the number of solutions to linear equations: Solving equations & inequalities
Linear equations with unknown coefficients: Solving equations & inequalitiesMulti-step inequalities: Solving equations & inequalitiesCompound inequalities: Solving equations & inequalities

Working with units

Rate conversion: Working with unitsAppropriate units: Working with unitsWord problems with multiple units: Working with units

Linear equations & graphs

Two-variable linear equations intro: Linear equations & graphsSlope: Linear equations & graphsHorizontal & vertical lines: Linear equations & graphs
x-intercepts and y-intercepts: Linear equations & graphsApplying intercepts and slope: Linear equations & graphs

Forms of linear equations

Intro to slope-intercept form: Forms of linear equationsGraphing slope-intercept equations: Forms of linear equationsWriting slope-intercept equations: Forms of linear equations
Point-slope form: Forms of linear equationsStandard form: Forms of linear equationsSummary: Forms of two-variable linear equations: Forms of linear equations

Systems of equations

Introduction to systems of equations: Systems of equationsSolving systems of equations with substitution: Systems of equationsEquivalent systems of equations: Systems of equations
Solving systems of equations with elimination: Systems of equationsNumber of solutions to systems of equations: Systems of equationsSystems of equations word problems: Systems of equations

Inequalities (systems & graphs)

Checking solutions of two-variable inequalities: Inequalities (systems & graphs)Graphing two-variable inequalities: Inequalities (systems & graphs)Modeling with linear inequalities: Inequalities (systems & graphs)

Functions

Evaluating functions: FunctionsInputs and outputs of a function: FunctionsFunctions and equations: FunctionsInterpreting function notation: FunctionsIntroduction to the domain and range of a function: FunctionsDetermining the domain of a function: Functions
Recognizing functions: FunctionsMaximum and minimum points: FunctionsIntervals where a function is positive, negative, increasing, or decreasing: FunctionsInterpreting features of graphs: FunctionsAverage rate of change: FunctionsAverage rate of change word problems: FunctionsIntro to inverse functions: Functions

Scatterplots

Creating and interpreting scatterplots: ScatterplotsEstimating with trend lines: Scatterplots

Data distributions

Displays of distributions: Data distributionsSummarizing center of distributions (central tendency): Data distributionsBox and whisker plots: Data distributions
Comparing distributions: Data distributions

Two-way tables

Two-way frequency tables: Two-way tablesTwo-way relative frequency tables: Two-way tables

Sequences

Introduction to arithmetic sequences: SequencesConstructing arithmetic sequences: SequencesIntroduction to geometric sequences: Sequences
Constructing geometric sequences: SequencesModeling with sequences: SequencesGeneral sequences: Sequences

Exponents & radicals

Exponent properties review: Exponents & radicalsRadicals: Exponents & radicalsSimplifying square roots: Exponents & radicals

Exponential growth & decay

Exponential vs. linear growth: Exponential growth & decayExponential expressions: Exponential growth & decayGraphs of exponential growth: Exponential growth & decay
Exponential vs. linear growth over time: Exponential growth & decayExponential growth & decay: Exponential growth & decayExponential functions from tables & graphs: Exponential growth & decayExponential vs. linear models: Exponential growth & decay

Performing transformations

Introduction to rigid transformations: Performing transformationsTranslations: Performing transformationsRotations: Performing transformations
Reflections: Performing transformationsDilations: Performing transformations

Transformation properties and proofs

Rigid transformations overview: Transformation properties and proofsDilation preserved properties: Transformation properties and proofsProperties & definitions of transformations: Transformation properties and proofs
Symmetry: Transformation properties and proofsProofs with transformations: Transformation properties and proofs

Congruence

Transformations & congruence: CongruenceTriangle congruence from transformations: CongruenceCongruent triangles: CongruenceTheorems concerning triangle properties: Congruence
Working with triangles: CongruenceTheorems concerning quadrilateral properties: CongruenceProofs of general theorems that use triangle congruence: CongruenceConstructing lines & angles: Congruence

Analytic geometry

Distance and midpoints: Analytic geometryDividing line segments: Analytic geometryProblem solving with distance on the coordinate plane: Analytic geometry
Parallel & perpendicular lines on the coordinate plane: Analytic geometryEquations of parallel & perpendicular lines: Analytic geometry

Course challenge

Test your knowledge of the skills in this course. Have a test coming up? The Course challenge can help you understand what you need to review.
Community questions