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CPM Core Connections Algebra (Core Connections Algebra, 2nd edition (©2013)) has 11 chapters and 101 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.

Follows Core Connections Algebra, 11 chapters (5.2.3 is Chapter 5, Section 2, Lesson 3). Not the newer Inspiring Connections course. Not affiliated with or endorsed by CPM.

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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 1Functions

In the game: Windward Landing, island 1

  1. 1.1.1Integer and order of operations warm-upAdd and Subtract Integers, Multiply and Divide Integers, Use the Language of Algebra
  2. 1.1.2Growing patternsFunction Notation, Arithmetic Sequences, The Coordinate Plane, Linear, Quadratic and Exponential Models, Use the Language of Algebra
  3. 1.1.3Graphs of quadratic functionsGraphing Parabolas, Function Notation, Reading Graphs of Functions
  4. 1.2.1Describing a graphReading Graphs of Functions, Graphs of Situations, Discrete and Continuous Functions
  5. 1.2.2Cube root and absolute value functionsFunction Families, Absolute Value, Piecewise and Square Root Functions, Higher Roots
  6. 1.2.3Function machinesFunction Notation, The Coordinate Plane
  7. 1.2.4What makes a functionRelations and Functions, Function Notation
  8. 1.2.5Domain and rangeRelations and Functions, Absolute Value, Piecewise and Square Root Functions, Reading Graphs of Functions, Discrete and Continuous Functions

Chapter 2Linear Relationships

In the game: Brasswing Bluffs, island 2

  1. 2.1.1Growth in linear patternsRate of Change, Function Notation, The Coordinate Plane, Graph Linear Equations, Use the Language of Algebra, Linear, Quadratic and Exponential Models
  2. 2.1.2SlopeSlope
  3. 2.1.3Rise over run from two pointsSlope
  4. 2.1.4y = mx + bSlope-Intercept Form, Graph Linear Equations
  5. 2.2.1Slope as motionRate of Change, Equation of a Line, Distance, Rate and Time
  6. 2.2.2Rate of changeRate of Change, Slope
  7. 2.2.3Equations of lines in contextLinear Models in Context, Equation of a Line, Intercepts, Reading Graphs of Functions, Function Notation
  8. 2.3.1A line from a slope and a pointEquation of a Line, Forms of Linear Equations, Slope
  9. 2.3.2A line through two pointsEquation of a Line, Forms of Linear Equations, Slope

Chapter 3Simplifying and Solving

In the game: Lantern Isle, island 3

  1. 3.1.1Exponent rulesProduct and Power Properties of Exponents, Quotient Property and Zero Exponents
  2. 3.1.2Zero and negative exponentsQuotient Property and Zero Exponents, Integer Exponents and Scientific Notation
  3. 3.2.1Equations with algebra tilesTwo-Step Equations, Variables and Constants on Both Sides, Use the Language of Algebra, Add and Subtract Polynomials
  4. 3.2.2Area modelsMultiply Polynomials
  5. 3.2.3Multiplying binomialsMultiply Polynomials, Special Products, Properties of Real Numbers
  6. 3.2.4Generic rectanglesMultiply Polynomials
  7. 3.3.1Equations with products and absolute valueMulti-Step Linear Equations, Absolute Value Equations
  8. 3.3.2Solving for a variableSolving Formulas for a Variable, Forms of Linear Equations

Chapter 4Systems of Equations

In the game: Cogspire Heights, island 4

  1. 4.1.1Word problems by equationsTurning Words into Equations, Variables on Both Sides
  2. 4.1.2One equation or twoSystems of Equations Word Problems, Solving Systems by Substitution, Turning Words into Equations
  3. 4.2.1Systems by substitutionSolving Systems by Substitution, Solving Systems by Graphing
  4. 4.2.2Systems, solutions and graphsSolving Systems by Graphing
  5. 4.2.3Eliminating by adding or subtractingSolving Systems by Elimination, Solving Systems by Substitution, Turning Words into Equations
  6. 4.2.4Eliminating after multiplyingSolving Systems by Elimination
  7. 4.2.5Choosing a methodSolving Systems by Elimination, Solving Systems by Substitution
  8. 4.3.1Systems word problemsSystems of Equations Word Problems, Solving Systems by Substitution, Turning Words into Equations, Perimeter, Area and Circles, Mixture Problems with Systems

Chapter 5Sequences

In the game: Mistfall Terraces, island 5

  1. 5.1.1Exponential growthExponential Functions, Linear, Quadratic and Exponential Models, Function Notation
  2. 5.1.2Rebound ratiosGeometric Sequences, Proportion and Similar Figures
  3. 5.1.3Exponential decayExponential Functions, Exponential Growth and Decay, Geometric Sequences
  4. 5.2.1Arithmetic and geometric sequencesArithmetic Sequences, Geometric Sequences
  5. 5.2.2Rules for arithmetic sequencesArithmetic Sequences
  6. 5.2.3Recursive rulesRecursive Rules, Arithmetic Sequences, Geometric Sequences
  7. 5.3.1Growth in tables and graphsLinear, Quadratic and Exponential Models
  8. 5.3.2MultipliersGeometric Sequences, Percent Word Problems, Exponential Growth and Decay, Exponential Functions
  9. 5.3.3Sequences as functionsRecursive Rules, Arithmetic Sequences, Geometric Sequences

Chapter 6Modeling Two-Variable Data

In the game: Kitecliff Reach, island 6

  1. 6.1.1Lines of best fitScatter Plots and Lines of Fit
  2. 6.1.2ResidualsScatter Plots and Lines of Fit
  3. 6.1.3Bounds on a predictionScatter Plots and Lines of Fit
  4. 6.1.4Least squares regressionScatter Plots and Lines of Fit, Equation of a Line
  5. 6.2.1Residual plotsScatter Plots and Lines of Fit
  6. 6.2.2CorrelationScatter Plots and Lines of Fit
  7. 6.2.3Association is not causationScatter Plots and Lines of Fit
  8. 6.2.4Interpreting correlationScatter Plots and Lines of Fit
  9. 6.2.5Curved best-fit modelsRegression Output, Linear, Quadratic and Exponential Models, Exponential Functions

Chapter 7Exponential Functions

In the game: Gearwhistle Foundry, island 7

  1. 7.1.1Graphs of y = bˣExponential Functions, Graphs of Exponential Functions
  2. 7.1.2Representations of exponential functionsExponential Functions
  3. 7.1.3Applications of exponential growthExponential Growth and Decay, Exponential Functions
  4. 7.1.4Exponential decayExponential Growth and Decay, Exponential Functions
  5. 7.1.5From graph to equationExponential Functions
  6. 7.1.6Connecting the representationsExponential Functions, Linear, Quadratic and Exponential Models
  7. 7.2.1Fractional exponentsRational Exponents, Product and Power Properties of Exponents, Higher Roots
  8. 7.2.2Fitting exponential curvesExponential Functions, Integer Exponents and Scientific Notation
  9. 7.2.3Exponential systems by graphingLinear, Quadratic and Exponential Models, Reading Graphs of Functions

Chapter 8Quadratic Functions

In the game: Sunsail Archipelago, island 8

  1. 8.1.1Factoring with tiles; the GCFGreatest Common Factor and Grouping, Add and Subtract Polynomials
  2. 8.1.2Factoring with rectanglesFactoring Trinomials (x² + bx + c)
  3. 8.1.3Factoring ax² + bx + cFactoring Trinomials (ax² + bx + c)
  4. 8.1.4Factoring completelyGeneral Factoring Strategy, Factoring Trinomials (x² + bx + c), Factoring Trinomials (ax² + bx + c)
  5. 8.1.5Factoring shortcutsFactor Special Products
  6. 8.2.1Representations of quadraticsGraphing Parabolas, Reading Graphs of Functions, Function Notation
  7. 8.2.2Zero product propertySolving Quadratics by Factoring, Forms of Quadratic Functions
  8. 8.2.3Finding the x-interceptsGraphing Parabolas
  9. 8.2.4Writing quadratics from featuresForms of Quadratic Functions
  10. 8.2.5Completing the square to vertex formVertex Form by Completing the Square, Complete the Square, Forms of Quadratic Functions, Factor Special Products

Chapter 9Solving Quadratics and Inequalities

In the game: Thunderhead Rookery, island 9

  1. 9.1.1Solving quadratic equationsSolving Quadratics by Factoring, Square Root Property
  2. 9.1.2The quadratic formulaQuadratic Formula
  3. 9.1.3Square roots and completing the squareSquare Root Property, Complete the Square
  4. 9.1.4Choosing a strategyQuadratic Formula, Quadratic Word Problems, Right Triangles, Simplify Square Roots
  5. 9.2.1One-variable inequalitiesSolving Linear Inequalities
  6. 9.2.2More inequalitiesSolving Linear Inequalities, Compound and Absolute Value Inequalities, Inequality Word Problems
  7. 9.3.1Inequalities in two variablesGraphing Inequalities in Two Variables
  8. 9.3.2Linear and nonlinear inequalitiesQuadratic Inequalities, Graphing Inequalities in Two Variables
  9. 9.4.1Systems of inequalitiesSystems of Linear Inequalities, Solving Systems by Graphing, Graphing Inequalities in Two Variables
  10. 9.4.2More systems of inequalitiesSolving Systems by Graphing, Graphing Inequalities in Two Variables
  11. 9.4.3Inequalities in contextSystems of Linear Inequalities, Inequality Word Problems

Chapter 10Solving Complex Equations

In the game: Copperroot Hollow, island 10

  1. 10.1.1Association in two-way tablesTwo-Way Tables
  2. 10.2.1Solving by rewritingEquations with Fractions and Decimals, Solving Quadratics by Factoring, Exponential Equations
  3. 10.2.2Clearing fractionsEquations with Fractions and Decimals, Solve Rational Equations
  4. 10.2.3Several ways to solveSolve Radical Equations
  5. 10.2.4How many solutionsMulti-Step Linear Equations, Quadratic Formula
  6. 10.2.5The quadratic formula and the number systemThe Real Numbers, Quadratic Formula
  7. 10.2.6More solving; absolute valueAbsolute Value Equations, Quadratic Word Problems, Right Triangles
  8. 10.3.1Where two functions meetLinear-Quadratic Systems, Reading Graphs of Functions, Solving Systems by Substitution
  9. 10.3.2How many times parabolas meetQuadratic Formula, Solving Quadratics by Factoring
  10. 10.3.3Quadratic and absolute value inequalitiesQuadratic Inequalities, Absolute Value Equations, Compound and Absolute Value Inequalities, Graphing Parabolas

Chapter 11Functions and Data

In the game: Skyglass Observatory, island 11

  1. 11.1.1Transforming functionsFunction Families, Transformations of Functions, Forms of Quadratic Functions
  2. 11.1.2Inverse functionsAbsolute Value, Piecewise and Square Root Functions, Function Notation
  3. 11.2.1Data displaysData Displays, Measures of Spread
  4. 11.2.2Comparing data and outliersMeasures of Spread, Data Displays
  5. 11.2.3Standard deviationSpread About the Mean, Measures of Center, Measures of Spread
  6. 11.3.1Predicting with a best-fit lineScatter Plots and Lines of Fit
  7. 11.3.2Relations and functions reviewRelations and Functions, Function Notation
  8. 11.3.3Investigating a functionReading Graphs of Functions, Relations and Functions, Graphs of Situations
  9. 11.3.4Finding a maximumGraphing Parabolas, Forms of Quadratic Functions
  10. 11.3.5Exponential functions and inequalitiesExponential Growth and Decay, Inequality Word Problems, Linear, Quadratic and Exponential Models, Exponential Equations

MathBound is not affiliated with or endorsed by CPM Educational Program. CPM Core Connections Algebra is named only so teachers and students can find their place: the chapter 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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