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Algebra 1

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Unit test

Unit 1: Algebra foundations

Overview and history of algebraIntroduction to variablesSubstitution and evaluating expressions

Combining like termsIntroduction to equivalent expressionsDivision by zero

Unit 2: Solving equations & inequalities

Linear equations with variables on both sidesLinear equations with parenthesesAnalyzing the number of solutions to linear equations

Linear equations with unknown coefficientsMulti-step inequalitiesCompound inequalities

Unit 3: Working with units

Rate conversionAppropriate unitsWord problems with multiple units

Unit 4: Linear equations & graphs

Two-variable linear equations introSlopeHorizontal & vertical lines

x-intercepts and y-interceptsApplying intercepts and slopeModeling with linear equations and inequalities

Unit 5: Forms of linear equations

Intro to slope-intercept formGraphing slope-intercept equationsWriting slope-intercept equations

Point-slope formStandard formSummary: Forms of two-variable linear equations

Unit 6: Systems of equations

Introduction to systems of equationsSolving systems of equations with substitutionSolving systems of equations with elimination

Equivalent systems of equationsNumber of solutions to systems of equationsSystems of equations word problems

Unit 7: Inequalities (systems & graphs)

Checking solutions of two-variable inequalitiesGraphing two-variable inequalitiesModeling with linear inequalities

Unit 8: Functions

Evaluating functionsInputs and outputs of a functionFunctions and equationsInterpreting function notationIntroduction to the domain and range of a functionDetermining the domain of a function

Recognizing functionsMaximum and minimum pointsIntervals where a function is positive, negative, increasing, or decreasingInterpreting features of graphsAverage rate of changeAverage rate of change word problemsIntro to inverse functions

Unit 9: Sequences

Introduction to arithmetic sequencesConstructing arithmetic sequencesIntroduction to geometric sequences

Constructing geometric sequencesModeling with sequencesGeneral sequences

Unit 10: Absolute value & piecewise functions

Graphs of absolute value functionsPiecewise functions

Unit 11: Exponents & radicals

Exponent properties reviewRadicalsSimplifying square roots

Unit 12: Exponential growth & decay

Exponential vs. linear growthExponential expressionsGraphs of exponential growth

Exponential vs. linear growth over timeExponential growth & decayExponential functions from tables & graphsExponential vs. linear models

Unit 13: Quadratics: Multiplying & factoring

Multiplying monomials by polynomialsMultiplying binomialsSpecial products of binomialsIntroduction to factoring

Factoring quadratics introFactoring quadratics by groupingFactoring quadratics with difference of squaresFactoring quadratics with perfect squaresStrategy in factoring quadratics

Unit 14: Quadratic functions & equations

Intro to parabolasSolving and graphing with factored formSolving by taking the square rootVertex formSolving quadratics by factoringThe quadratic formula

Completing the square introMore on completing the squareStrategizing to solve quadratic equationsQuadratic standard formFeatures & forms of quadratic functionsComparing quadratic functionsTransforming quadratic functions

Unit 15: Irrational numbers

Mastery unavailable

Irrational numbersSums and products of rational and irrational numbersProofs concerning irrational numbers

Unit 16: Creativity in algebra

Mastery unavailable

Creativity in algebra

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