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Pre-algebra

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Unit 1: Factors and multiples

Factors and multiples: Factors and multiplesPrime and composite numbers: Factors and multiplesPrime factorization: Factors and multiples

Unit 2: Patterns

Math patterns: PatternsWriting expressions: PatternsNumber patterns: Patterns

Unit 3: Ratios and rates

Intro to ratios: Ratios and ratesVisualize ratios: Ratios and ratesEquivalent ratios: Ratios and rates
Ratio application: Ratios and ratesIntro to rates: Ratios and rates

Unit 4: Percentages

Intro to percents: PercentagesVisualize percents: PercentagesEquivalent representations of percent problems: Percentages
Percent problems: PercentagesPercent word problems: Percentages

Unit 5: Exponents intro and order of operations

Meaning of exponents: Exponents intro and order of operationsPowers of whole numbers: Exponents intro and order of operationsPowers of fractions and decimals: Exponents intro and order of operations
Order of operations introduction: Exponents intro and order of operationsMore on order of operations: Exponents intro and order of operations

Unit 6: Variables & expressions

Parts of algebraic expressions: Variables & expressionsSubstitution & evaluating expressions: Variables & expressionsEvaluating expressions with multiple variables: Variables & expressionsExpression value intuition: Variables & expressionsEvaluating expressions word problems: Variables & expressions
Writing algebraic expressions introduction: Variables & expressionsWriting basic algebraic expressions word problems: Variables & expressionsDistributive property with variables: Variables & expressionsCombining like terms: Variables & expressionsEquivalent expressions: Variables & expressions

Unit 7: Equations & inequalities introduction

Algebraic equations basics: Equations & inequalities introductionOne-step equations intuition: Equations & inequalities introductionOne-step addition & subtraction equations: Equations & inequalities introductionOne-step multiplication and division equations: Equations & inequalities introduction
Finding mistakes in one-step equations: Equations & inequalities introductionOne-step equation word problems: Equations & inequalities introductionIntro to inequalities with variables: Equations & inequalities introductionDependent and independent variables: Equations & inequalities introductionAnalyzing relationships between variables: Equations & inequalities introduction

Unit 8: Percent & rational number word problems

Percent word problems: Percent & rational number word problemsRational number word problems: Percent & rational number word problems

Unit 9: Proportional relationships

Rate problems with fractions: Proportional relationshipsConstant of proportionality: Proportional relationshipsCompare and interpret constants of proportionality: Proportional relationships
Identifying proportional relationships: Proportional relationshipsGraphs of proportional relationships: Proportional relationshipsWriting & solving proportions: Proportional relationshipsEquations of proportional relationships: Proportional relationships

Unit 10: One-step and two-step equations & inequalities

Combining like terms: One-step and two-step equations & inequalitiesThe distributive property & equivalent expressions: One-step and two-step equations & inequalitiesInterpreting linear expressions: One-step and two-step equations & inequalitiesTwo-step equations intro: One-step and two-step equations & inequalities
Two-step equations with decimals and fractions: One-step and two-step equations & inequalitiesTwo-step equation word problems: One-step and two-step equations & inequalitiesOne-step inequalities: One-step and two-step equations & inequalitiesTwo-step inequalities: One-step and two-step equations & inequalities

Unit 11: Roots, exponents, & scientific notation

Square roots & cube roots: Roots, exponents, & scientific notationExponent properties intro: Roots, exponents, & scientific notationNegative exponents: Roots, exponents, & scientific notationExponent properties (integer exponents): Roots, exponents, & scientific notation
Working with powers of 10: Roots, exponents, & scientific notationScientific notation intro: Roots, exponents, & scientific notationArithmetic with numbers in scientific notation: Roots, exponents, & scientific notationScientific notation word problems: Roots, exponents, & scientific notation

Unit 12: Multi-step equations

Equations with variables on both sides: Multi-step equationsEquations with parentheses: Multi-step equationsNumber of solutions to equations: Multi-step equations
Equations word problems: Multi-step equations

Unit 13: Two-variable equations

Graphing proportional relationships: Two-variable equationsSolutions to linear equations: Two-variable equationsIntercepts: Two-variable equations
Slope: Two-variable equationsIntro to slope-intercept form: Two-variable equationsGraphing slope-intercept form: Two-variable equationsWriting slope-intercept equations: Two-variable equations

Unit 14: Functions and linear models

Functions: Functions and linear modelsLinear models: Functions and linear modelsComparing linear functions: Functions and linear models
Constructing linear models for real-world relationships: Functions and linear modelsRecognizing functions: Functions and linear modelsLinear and nonlinear functions: Functions and linear models

Unit 15: Systems of equations

Intro to systems of equations: Systems of equationsSystems of equations with graphing: Systems of equationsSolving systems with substitution: Systems of equations
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