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Illustrative Mathematics Algebra 1 (v.360) (IM v.360 (2024 onward), CC BY-NC 4.0) has 8 units and 61 lessons. In MathBound’s free Algebra I game, each unit 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.

Follows IM v.360 (8 units), which gives linear inequalities a unit of their own (Unit 4). For the 2019 edition (7 units) choose Illustrative Mathematics Algebra 1. Not affiliated with or endorsed by Illustrative Mathematics.

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Before Unit 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

Unit 1Describing One-Variable Data

In the game: Windward Landing, island 1

  1. 1.1-1.3Data and its displaysKinds of Data and Displays, Data Displays, Measures of Spread
  2. 1.4-1.5Shape, center and spreadData Displays, Measures of Center, Measures of Spread, Spread About the Mean
  3. 1.6-1.8Formulas that repeatSolving Formulas for a Variable, Use the Language of Algebra, Recursive Rules
  4. 1.9-1.11Extremes and variabilityMeasures of Center, Measures of Spread, Data Displays
  5. 1.12-1.13Standard deviationSpread About the Mean, Measures of Spread, Measures of Center
  6. 1.14OutliersMeasures of Spread, Data Displays, Spread About the Mean
  7. 1.15-1.16Comparing data setsMeasures of Center, Measures of Spread, Data Displays, Spread About the Mean

Unit 2Linear Equations and Systems

In the game: Brasswing Bluffs, island 2

  1. 2.1-2.5Writing equations and checking solutionsLinear Models in Context, Two-Step Equations, Turning Words into Equations, One-Step Equations: Adding and Subtracting, Graph Linear Equations
  2. 2.6-2.7Equivalent equations and solving stepsTwo-Step Equations, Variables and Constants on Both Sides, Multi-Step Linear Equations
  3. 2.8-2.9Solving for a chosen variableSolving Formulas for a Variable
  4. 2.10-2.11Linear equations and their graphsIntercepts, Forms of Linear Equations, Slope-Intercept Form, Solving Formulas for a Variable, Linear Models in Context
  5. 2.12Writing and graphing systemsSolving Systems by Graphing, Systems of Equations Word Problems
  6. 2.13Solving systems by substitutionSolving Systems by Substitution
  7. 2.14-2.16Solving systems by eliminationSolving Systems by Elimination
  8. 2.17How many solutions a system hasSolving Systems by Graphing, Solving Systems by Substitution, Solving Systems by Elimination
  9. 2.18-2.19Systems and linear patterns at workSystems of Equations Word Problems, Solving Systems by Substitution, Turning Words into Equations, Perimeter, Area and Circles, Equation of a Line

Unit 3Two-Variable Data

In the game: Lantern Isle, island 3

  1. 3.1-3.3Two-way tables and associationTwo-Way Tables
  2. 3.4-3.5Lines of fitScatter Plots and Lines of Fit, Slope, Equation of a Line
  3. 3.6ResidualsScatter Plots and Lines of Fit
  4. 3.7-3.8The correlation coefficientScatter Plots and Lines of Fit
  5. 3.9Correlation and causeScatter Plots and Lines of Fit
  6. 3.10Estimating with a fitted lineScatter Plots and Lines of Fit

Unit 4Linear Inequalities and Systems

In the game: Cogspire Heights, island 4

  1. 4.1-4.3Inequalities in one variableSolving Linear Inequalities, Inequality Word Problems
  2. 4.4-4.6Inequalities in two variablesGraphing Inequalities in Two Variables
  3. 4.7-4.9Systems of inequalitiesSystems of Linear Inequalities, Solving Systems by Graphing, Graphing Inequalities in Two Variables

Unit 5Functions

In the game: Mistfall Terraces, island 5

  1. 5.1-5.3Functions and function notationGraphs of Situations, Linear Models in Context, Relations and Functions, Function Notation, Reading Graphs of Functions
  2. 5.4-5.5Function rules, tables and graphsFunction Notation, The Coordinate Plane
  3. 5.6Features of graphsGraphs of Situations, Reading Graphs of Functions
  4. 5.7-5.9Average rate of change and comparing graphsRate of Change, Reading Graphs of Functions
  5. 5.10-5.11Domain and rangeRelations and Functions, Absolute Value, Piecewise and Square Root Functions, Reading Graphs of Functions, Discrete and Continuous Functions
  6. 5.12Piecewise functionsAbsolute Value, Piecewise and Square Root Functions, Step Functions
  7. 5.13-5.14Absolute value functionsAbsolute Value, Piecewise and Square Root Functions, Add and Subtract Integers, Transformations of Functions
  8. 5.15-5.17Inverse functionsAbsolute Value, Piecewise and Square Root Functions, Function Notation
  9. 5.18Modeling with functionsEquation of a Line, Function Notation, Scatter Plots and Lines of Fit

Unit 6Exponential Functions

In the game: Kitecliff Reach, island 6

  1. 6.1-6.2Growing by adding and by multiplyingArithmetic Sequences, Geometric Sequences, Function Notation, Linear, Quadratic and Exponential Models
  2. 6.3-6.5Exponential growth and decayExponential Functions, Exponential Growth and Decay
  3. 6.6-6.7Graphs and negative exponentsExponential Functions, Integer Exponents and Scientific Notation
  4. 6.8-6.10Exponential functions and their ratesExponential Functions, Rate of Change, Discrete and Continuous Functions
  5. 6.11-6.13Modeling with exponential graphsExponential Functions, Exponential Growth and Decay, Graphs of Exponential Functions, Reading Graphs of Functions
  6. 6.14-6.15Percent change as a functionPercent Word Problems, Exponential Growth and Decay, Exponential Functions
  7. 6.16-6.18Compound interestCompound Interest, Exponential Growth and Decay, Percent Word Problems
  8. 6.19-6.20Linear versus exponential changeFunction Notation, Arithmetic Sequences, Geometric Sequences, Exponential Functions, Linear, Quadratic and Exponential Models
  9. 6.21Choosing a population modelExponential Growth and Decay, Exponential Functions, Linear, Quadratic and Exponential Models

Unit 7Quadratic Functions

In the game: Gearwhistle Foundry, island 7

  1. 7.1-7.2A new kind of changeLinear, Quadratic and Exponential Models
  2. 7.3-7.4Quadratic patternsAdd and Subtract Polynomials, Function Notation, Multiply Polynomials, Linear, Quadratic and Exponential Models
  3. 7.5-7.7Quadratic models: falling objects and revenueQuadratic Word Problems, Graphing Parabolas, Function Notation
  4. 7.8-7.9Standard and factored formsMultiply Polynomials, Special Products
  5. 7.10-7.11Graphing from factored formForms of Quadratic Functions, Graphing Parabolas
  6. 7.12-7.14Graphing from standard formGraphing Parabolas
  7. 7.15-7.17Vertex formForms of Quadratic Functions

Unit 8Solving Quadratic Equations

In the game: Sunsail Archipelago, island 8

  1. 8.1-8.2Writing quadratic equationsQuadratic Word Problems, Reading Graphs of Functions
  2. 8.3Solving with square rootsSquare Root Property
  3. 8.4-8.5Zero products and how many solutionsSolving Quadratics by Factoring, Square Root Property
  4. 8.6-8.8Factoring x² + bx + c and differences of squaresFactoring Trinomials (x² + bx + c), Factor Special Products
  5. 8.9-8.10Solving by factoringSolving Quadratics by Factoring, Factoring Trinomials (ax² + bx + c)
  6. 8.11-8.14Completing the squareFactor Special Products, Complete the Square
  7. 8.15Irrational solutionsSquare Root Property, Complete the Square, Simplify Square Roots
  8. 8.16-8.19The quadratic formulaQuadratic Formula, Quadratic Word Problems
  9. 8.20-8.21Rational and irrational solutionsQuadratic Formula, The Real Numbers
  10. 8.22-8.23Vertex form by completing the squareVertex Form by Completing the Square, Forms of Quadratic Functions, Complete the Square, Graphing Parabolas
  11. 8.24Modeling with quadratic equationsQuadratic Word Problems, Right Triangles, Graphing Parabolas

MathBound is not affiliated with or endorsed by Illustrative Mathematics. Illustrative Mathematics Algebra 1 (v.360) is named only so teachers and students can find their place: the unit and lesson numbers are the book’s, while every label above is our own short description and every question is the game’s own.

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