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Big Ideas Math Algebra 1 (2022) (2022 (Modeling Real Life companion)) has 11 chapters and 71 lessons. In MathBound’s free Algebra I game, each chapter becomes a sky island and each lesson a landing on it, asking that lesson’s kinds of problem. The book’s own numbers are kept, so your students can find their place.

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Before Chapter 1Pre-Algebra review, in The Guild Workshop

Optional, and the same for every book: a warm-up that is also the battle tutorial.

  1. P1Whole numbers and place valuePractice it
  2. P2Picturing fractionsPractice it
  3. P3Adding and subtracting fractionsPractice it
  4. P4DecimalsPractice it
  5. P5Units of measurementPractice it

Chapter 1Solving Linear Equations

In the game: Windward Landing, island 1

  1. 1.1One-step equationsOne-Step Equations: Adding and Subtracting, One-Step Equations: Multiplying and Dividing, Turning Words into Equations, Properties of Equality
  2. 1.2Multi-step equationsTwo-Step Equations, Properties of Equality, Multi-Step Linear Equations, Equations with Fractions and Decimals, One-Step Equations: Adding and Subtracting, Turning Words into Equations, Measures of Center, Perimeter, Area and Circles
  3. 1.3Rates, ratios and unitsProportion and Similar Figures, Measurement and Unit Conversions
  4. 1.4Measurement accuracyPrecision and Accuracy
  5. 1.5Variables on both sidesVariables on Both Sides, Variables and Constants on Both Sides, Multi-Step Linear Equations
  6. 1.6Absolute value equationsAbsolute Value Equations, Add and Subtract Integers
  7. 1.7Literal equations and formulasSolving Formulas for a Variable, Percent Word Problems

Chapter 2Solving Linear Inequalities

In the game: Brasswing Bluffs, island 2

  1. 2.1Writing and graphing inequalitiesSolving Linear Inequalities, Use the Language of Algebra, Inequality Word Problems
  2. 2.2Inequalities by adding or subtractingSolving Linear Inequalities
  3. 2.3Inequalities by multiplying or dividingSolving Linear Inequalities, Inequality Word Problems
  4. 2.4Multi-step inequalitiesSolving Linear Inequalities, Inequality Word Problems
  5. 2.5Compound inequalitiesCompound and Absolute Value Inequalities, Use the Language of Algebra
  6. 2.6Absolute value inequalitiesAbsolute Value Equations, Compound and Absolute Value Inequalities

Chapter 3Graphing Linear Functions

In the game: Lantern Isle, island 3

  1. 3.1Relations, functions, domain and rangeRelations and Functions
  2. 3.2Features of functionsReading Graphs of Functions, Graphs of Situations
  3. 3.3Recognizing linear functionsFunction Notation, The Coordinate Plane, Discrete and Continuous Functions
  4. 3.4Function notationFunction Notation, Reading Graphs of Functions, Linear Models in Context
  5. 3.5Graphing with interceptsIntercepts, Graph Linear Equations, Forms of Linear Equations
  6. 3.6Slope and y = mx + bSlope, Slope-Intercept Form, Rate of Change, Linear Models in Context
  7. 3.7Shifting and stretching linesTransformations of Functions
  8. 3.8Absolute value graphsAbsolute Value, Piecewise and Square Root Functions, Transformations of Functions

Chapter 4Writing Linear Functions

In the game: Cogspire Heights, island 4

  1. 4.1Writing y = mx + bEquation of a Line
  2. 4.2Point-slope formForms of Linear Equations, Equation of a Line
  3. 4.3Parallel and perpendicular linesSlope-Intercept Form, Equation of a Line
  4. 4.4Scatter plots and lines of fitScatter Plots and Lines of Fit
  5. 4.5Residuals and correlationScatter Plots and Lines of Fit
  6. 4.6Arithmetic sequencesArithmetic Sequences
  7. 4.7Piecewise functionsAbsolute Value, Piecewise and Square Root Functions, Step Functions

Chapter 5Solving Systems of Linear Equations

In the game: Mistfall Terraces, island 5

  1. 5.1Systems by graphingSolving Systems by Graphing, Reading Graphs of Functions
  2. 5.2Systems by substitutionSolving Systems by Substitution, Systems of Equations Word Problems, Turning Words into Equations
  3. 5.3Systems by eliminationSolving Systems by Elimination, Mixture Problems with Systems
  4. 5.4No solution or infinitely manySolving Systems by Graphing, Solving Systems by Substitution, Solving Systems by Elimination
  5. 5.5Solving equations with graphsReading Graphs of Functions, Solving Systems by Graphing
  6. 5.6Inequalities in two variablesGraphing Inequalities in Two Variables
  7. 5.7Systems of inequalitiesSystems of Linear Inequalities, Solving Systems by Graphing, Graphing Inequalities in Two Variables

Chapter 6Exponential Functions and Sequences

In the game: Kitecliff Reach, island 6

  1. 6.1Exponent rulesProduct and Power Properties of Exponents, Quotient Property and Zero Exponents, Integer Exponents and Scientific Notation
  2. 6.2Roots and rational exponentsHigher Roots, Rational Exponents
  3. 6.3Exponential functionsExponential Functions, Linear, Quadratic and Exponential Models, Graphs of Exponential Functions
  4. 6.4Growth and decayExponential Functions, Exponential Growth and Decay, Compound Interest
  5. 6.5Exponential equationsExponential Equations, Product and Power Properties of Exponents
  6. 6.6Geometric sequencesGeometric Sequences
  7. 6.7Recursive rulesRecursive Rules, Arithmetic Sequences, Geometric Sequences

Chapter 7Polynomial Equations and Factoring

In the game: Gearwhistle Foundry, island 7

  1. 7.1Adding and subtracting polynomialsAdd and Subtract Polynomials
  2. 7.2Multiplying and dividing polynomialsMultiply Polynomials, Divide Polynomials
  3. 7.3Special productsSpecial Products
  4. 7.4Zero-product propertySolving Quadratics by Factoring, Greatest Common Factor and Grouping
  5. 7.5Factoring x² + bx + cFactoring Trinomials (x² + bx + c), Solving Quadratics by Factoring
  6. 7.6Factoring ax² + bx + cFactoring Trinomials (ax² + bx + c), Solving Quadratics by Factoring
  7. 7.7Factoring special patternsFactor Special Products
  8. 7.8Grouping and factoring completelyGreatest Common Factor and Grouping, General Factoring Strategy, Solving Quadratics by Factoring

Chapter 8Graphing Quadratic Functions

In the game: Sunsail Archipelago, island 8

  1. 8.1Graphs of y = ax²Graphing Parabolas, Forms of Quadratic Functions, Reading Graphs of Functions
  2. 8.2Graphs of y = ax² + cForms of Quadratic Functions, Square Root Property, Reading Graphs of Functions, Quadratic Word Problems
  3. 8.3Standard form: vertex and axisGraphing Parabolas
  4. 8.4Vertex formForms of Quadratic Functions, Function Families
  5. 8.5Intercept formForms of Quadratic Functions, Solving Quadratics by Factoring
  6. 8.6Linear, exponential or quadratic?Linear, Quadratic and Exponential Models, Rate of Change

Chapter 9Solving Quadratic Equations

In the game: Thunderhead Rookery, island 9

  1. 9.1Simplifying radicalsSimplify Square Roots, Add and Subtract Square Roots, Multiply Square Roots, Divide Square Roots, The Real Numbers
  2. 9.2Zeros from x-interceptsGraphing Parabolas, Forms of Quadratic Functions, Reading Graphs of Functions
  3. 9.3Solving with square rootsSquare Root Property
  4. 9.4Completing the squareComplete the Square, Forms of Quadratic Functions, Graphing Parabolas, Vertex Form by Completing the Square
  5. 9.5The quadratic formulaQuadratic Formula, Quadratic Word Problems
  6. 9.6Linear-quadratic systemsLinear-Quadratic Systems, Reading Graphs of Functions

Chapter 10Radical Functions and Equations

In the game: Copperroot Hollow, island 10

  1. 10.1Square root functionsAbsolute Value, Piecewise and Square Root Functions, Transformations of Functions
  2. 10.2Cube root functionsHigher Roots, Transformations of Functions, Function Families
  3. 10.3Radical equationsSolve Radical Equations, Solving Quadratics by Factoring
  4. 10.4Inverse functionsAbsolute Value, Piecewise and Square Root Functions, Function Notation

Chapter 11Data Analysis and Displays

In the game: Skyglass Observatory, island 11

  1. 11.1Center and spreadMeasures of Center, Measures of Spread, Spread About the Mean
  2. 11.2Box plotsMeasures of Spread, Data Displays
  3. 11.3Shapes of distributionsData Displays, Measures of Center
  4. 11.4Two-way tablesTwo-Way Tables
  5. 11.5Choosing a data displayKinds of Data and Displays, Data Displays

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