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Operations and Algebraic Thinking 229+

Unit 1: 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

Unit 2: 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 & graphsModeling with linear equations and inequalities: Linear equations & graphs

Unit 3: 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

Unit 4: 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

Unit 5: 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)

Unit 6: 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

Unit 7: Sequences

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

Unit 8: 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

Course challenge

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