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CPS Skyline Algebra (Skyline Algebra, built on the Mathematics Vision Project (CC BY)) has 9 units and 60 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 the Skyline Algebra scope and sequence, built on the Mathematics Vision Project (CC BY), with its honors tasks where they fit. Not affiliated with or endorsed by Chicago Public Schools.

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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 1Sequences

In the game: Windward Landing, island 1

  1. 1.1Expressions for a growing patternUse the Language of Algebra, Properties of Real Numbers
  2. 1.2Arithmetic sequencesArithmetic Sequences, Recursive Rules
  3. 1.3Geometric sequencesGeometric Sequences, Recursive Rules
  4. 1.4Recursive and explicit arithmetic rulesArithmetic Sequences, Recursive Rules
  5. 1.5Recursive and explicit geometric rulesGeometric Sequences, Recursive Rules
  6. 1.6Decreasing arithmetic sequencesArithmetic Sequences, Rate of Change
  7. 1.7Which sequence grows fasterArithmetic Sequences, Geometric Sequences, Linear, Quadratic and Exponential Models
  8. 1.8Sequence rules from a tableArithmetic Sequences, Geometric Sequences, Recursive Rules, Exponential Functions
  9. 1.9-1.10Finding missing termsArithmetic Sequences, Geometric Sequences, Higher Roots
  10. 1.11Working with any sequenceArithmetic Sequences, Geometric Sequences, Recursive Rules

Unit 2Linear and Exponential Functions

In the game: Brasswing Bluffs, island 2

  1. 2.1-2.2Discrete and continuous functionsDiscrete and Continuous Functions, Function Notation, Exponential Functions, Relations and Functions, Rate of Change
  2. 2.3Linear, exponential or neitherLinear, Quadratic and Exponential Models, Function Notation
  3. 2.4-2.5Rational and negative exponentsRational Exponents, Integer Exponents and Scientific Notation
  4. 2.6-2.7Properties of rational exponentsRational Exponents, Product and Power Properties of Exponents, Higher Roots, Exponential Functions, Compound Interest
  5. 2.8Linear versus exponential growthLinear, Quadratic and Exponential Models, Exponential Functions
  6. 2.9Forms of a linear equationForms of Linear Equations, Slope-Intercept Form, Equation of a Line
  7. 2.10Moving between formsEquation of a Line, Exponential Functions, Forms of Linear Equations
  8. 2.11HAverage rate of changeRate of Change, Slope

Unit 3Features of Functions

In the game: Lantern Isle, island 3

  1. 3.1-3.3Key features of a graphGraphs of Situations, Reading Graphs of Functions, Rate of Change
  2. 3.4Function notation in contextFunction Notation, Reading Graphs of Functions, Linear Models in Context
  3. 3.5Combining functionsOperations with Functions, Add and Subtract Polynomials, Function Notation
  4. 3.6Where two graphs meetReading Graphs of Functions, Solving Systems by Graphing
  5. 3.7Is it a function?Relations and Functions

Unit 4Equations and Inequalities

In the game: Cogspire Heights, island 4

  1. 4.1Justifying the steps of a solutionVariables and Constants on Both Sides, Multi-Step Linear Equations, Properties of Equality, Properties of Real Numbers
  2. 4.2-4.3Solving literal equationsSolving Formulas for a Variable, Solve Rational Equations
  3. 4.4Properties of inequalitiesSolving Linear Inequalities, Use the Language of Algebra
  4. 4.5Inequalities in contextInequality Word Problems, Solving Linear Inequalities
  5. 4.6Solving and graphing inequalitiesSolving Linear Inequalities

Unit 5Systems of Equations and Inequalities

In the game: Mistfall Terraces, island 5

  1. 5.1ConstraintsSystems of Linear Inequalities, Inequality Word Problems
  2. 5.2Inequalities in two variablesGraphing Inequalities in Two Variables
  3. 5.3Standard form and interceptsForms of Linear Equations, Solving Formulas for a Variable, Intercepts
  4. 5.4Writing inequalities for constraintsInequality Word Problems, Graphing Inequalities in Two Variables
  5. 5.5-5.6Systems of inequalitiesSystems of Linear Inequalities, Solving Systems by Graphing, Graphing Inequalities in Two Variables
  6. 5.7Where two lines crossSolving Systems by Graphing, Solving Systems by Substitution
  7. 5.8-5.9Solving systems by eliminationSolving Systems by Elimination, Systems of Equations Word Problems, Solving Systems by Substitution, Turning Words into Equations, Perimeter, Area and Circles
  8. 5.10No solution or infinitely manySolving Systems by Graphing, Solving Systems by Substitution, Solving Systems by Elimination
  9. 5.11H-5.12HSystems with matricesMatrices, Solving Systems by Elimination

Unit 6Quadratic Functions

In the game: Kitecliff Reach, island 6

  1. 6.1-6.2Quadratic patternsAdd and Subtract Polynomials, Function Notation, Multiply Polynomials, Linear, Quadratic and Exponential Models
  2. 6.3How a quadratic changesLinear, Quadratic and Exponential Models, Rate of Change
  3. 6.4Maximum, domain and rangeReading Graphs of Functions, Graphing Parabolas
  4. 6.5Quadratic versus exponential growthLinear, Quadratic and Exponential Models
  5. 6.6Linear, quadratic or exponentialLinear, Quadratic and Exponential Models

Unit 7Forms of Quadratic Expressions

In the game: Gearwhistle Foundry, island 7

  1. 7.1-7.2Transformations and vertex formForms of Quadratic Functions, Transformations of Functions
  2. 7.3-7.5Completing the squareVertex Form by Completing the Square, Complete the Square, Factor Special Products, Special Products
  3. 7.6-7.7Factored and standard formsMultiply Polynomials, Factoring Trinomials (x² + bx + c), Factor Special Products
  4. 7.8HFactoring when a is not 1Factoring Trinomials (ax² + bx + c)
  5. 7.9Factored form and the graphForms of Quadratic Functions, Graphing Parabolas
  6. 7.10Choosing a formForms of Quadratic Functions, Graphing Parabolas
  7. 7.11The quadratic formulaQuadratic Formula
  8. 7.12-7.13Choosing how to solveSquare Root Property, Solving Quadratics by Factoring, Quadratic Formula, Quadratic Word Problems, Linear-Quadratic Systems

Unit 8Piecewise, Absolute Value and Inverse Functions

In the game: Sunsail Archipelago, island 8

  1. 8.1-8.2Piecewise functionsAbsolute Value, Piecewise and Square Root Functions, Forms of Linear Equations, Equation of a Line
  2. 8.3-8.4Absolute value functionsAbsolute Value, Piecewise and Square Root Functions, Transformations of Functions, Reading Graphs of Functions
  3. 8.5-8.6Inverse functionsAbsolute Value, Piecewise and Square Root Functions, Relations and Functions
  4. 8.7Naming a function from its featuresFunction Families, Function Notation, Forms of Quadratic Functions, Absolute Value, Piecewise and Square Root Functions, Exponential Functions

Unit 9Modeling Data

In the game: Thunderhead Rookery, island 9

  1. 9.1-9.2Data distributionsData Displays, Measures of Spread, Measures of Center, Spread About the Mean
  2. 9.3-9.4Two-way and relative frequency tablesTwo-Way Tables
  3. 9.5The correlation coefficientScatter Plots and Lines of Fit
  4. 9.6-9.7Lines of best fitScatter Plots and Lines of Fit, Slope-Intercept Form
  5. 9.8Residual plotsScatter Plots and Lines of Fit
  6. 9.9Correlation, regression and residualsScatter Plots and Lines of Fit, Regression Output

MathBound is not affiliated with or endorsed by Chicago Public Schools. CPS Skyline Algebra 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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