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Algebra I

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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 and the elimination method: Systems of equations
Number 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

Sequences

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

Absolute value & piecewise functions

Graphs of absolute value functions: Absolute value & piecewise functionsPiecewise functions: Absolute value & piecewise functions

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

Quadratics: Multiplying & factoring

Multiplying monomials by polynomials: Quadratics: Multiplying & factoringMultiplying binomials: Quadratics: Multiplying & factoringSpecial products of binomials: Quadratics: Multiplying & factoringIntroduction to factoring: Quadratics: Multiplying & factoring
Factoring quadratics intro: Quadratics: Multiplying & factoringFactoring quadratics by grouping: Quadratics: Multiplying & factoringFactoring quadratics with difference of squares: Quadratics: Multiplying & factoringFactoring quadratics with perfect squares: Quadratics: Multiplying & factoringStrategy in factoring quadratics: Quadratics: Multiplying & factoring

Quadratic functions & equations

Intro to parabolas: Quadratic functions & equationsSolving and graphing with factored form: Quadratic functions & equationsSolving by taking the square root: Quadratic functions & equationsVertex form: Quadratic functions & equationsSolving quadratics by factoring: Quadratic functions & equations
The quadratic formula: Quadratic functions & equationsCompleting the square: Quadratic functions & equationsQuadratic standard form: Quadratic functions & equationsFeatures & forms of quadratic functions: Quadratic functions & equationsTransforming quadratic functions: Quadratic functions & equations

Irrational numbers

Mastery unavailable
Irrational numbers: Irrational numbersSums and products of rational and irrational numbers: Irrational numbersProofs concerning irrational numbers: Irrational numbers
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