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MVP Mathematics I (Integrated Math 1) (Open Up High School Mathematics, Integrated Math I; CC BY 4.0) has 9 units and 80 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 MVP Mathematics I, the integrated course Utah calls Secondary Mathematics I, as Open Up Resources publishes it: nine units, lessons numbered within a unit (4.3 is Unit 4, Lesson 3; MVP's own PDFs say Module 4, Task 3). For North Carolina's course choose Open Up NC Math 1. Not affiliated with or endorsed by the Mathematics Vision Project or Open Up Resources.

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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 1Arithmetic and Geometric Sequences

In the game: Windward Landing, island 1

  1. 1.1Expressions for a growing borderLinear, Quadratic and Exponential Models, Use the Language of Algebra, Properties of Real Numbers, Arithmetic Sequences
  2. 1.2Patterns that grow by addingArithmetic Sequences, Linear, Quadratic and Exponential Models, Recursive Rules
  3. 1.3Patterns that grow by multiplyingGeometric Sequences, Linear, Quadratic and Exponential Models
  4. 1.4Arithmetic sequences in a storyArithmetic Sequences, Recursive Rules, Linear Models in Context
  5. 1.5Geometric sequences in a storyGeometric Sequences, Recursive Rules, Exponential Growth and Decay
  6. 1.6Sequences that decreaseArithmetic Sequences, Geometric Sequences, Exponential Functions
  7. 1.7Recursive and explicit rulesRecursive Rules, Arithmetic Sequences, Geometric Sequences
  8. 1.8Missing terms of an arithmetic sequenceArithmetic Sequences
  9. 1.9Missing terms of a geometric sequenceGeometric Sequences
  10. 1.10Arithmetic or geometric: writing the ruleArithmetic Sequences, Geometric Sequences, Recursive Rules

Unit 2Linear and Exponential Models

In the game: Brasswing Bluffs, island 2

  1. 2.1Growth over time: tables, graphs, equationsLinear, Quadratic and Exponential Models, Rate of Change, Function Notation, Exponential Functions
  2. 2.2Discrete or continuous modelsDiscrete and Continuous Functions, Linear, Quadratic and Exponential Models
  3. 2.3Naming a function and its domainDiscrete and Continuous Functions, Linear, Quadratic and Exponential Models, Relations and Functions
  4. 2.4Between the terms: fractional exponentsRational Exponents, Exponential Functions
  5. 2.5Negative exponents and exponential graphsInteger Exponents and Scientific Notation, Exponential Functions, Graphs of Exponential Functions
  6. 2.6Exponent rules in growth and decayProduct and Power Properties of Exponents, Exponential Growth and Decay, Exponential Functions
  7. 2.7Radicals and rational exponentsRational Exponents, Product and Power Properties of Exponents, Simplify Square Roots
  8. 2.8Linear or exponential income: which winsLinear, Quadratic and Exponential Models, Reading Graphs of Functions, Discrete and Continuous Functions
  9. 2.9Average rate of changeRate of Change, Slope
  10. 2.10Point-slope formForms of Linear Equations, Equation of a Line
  11. 2.11Linear or exponential from any representationRepresentations of a Relationship, Exponential Functions, Equation of a Line

Unit 3Reading Functions

In the game: Lantern Isle, island 3

  1. 3.1Story graphs and what they showGraphs of Situations, Reading Graphs of Functions
  2. 3.2Key features from tables and graphsReading Graphs of Functions, Relations and Functions
  3. 3.3Describing a function by its featuresReading Graphs of Functions, Graphs of Situations, Relations and Functions, Function Families
  4. 3.4Linear functions in context, and adding themLinear Models in Context, Operations with Functions, Function Notation
  5. 3.5Function notation across representationsFunction Notation, Reading Graphs of Functions, Operations with Functions, Rate of Change
  6. 3.6Shifting a graph up or downTransformations of Functions, Forms of Quadratic Functions, Function Families

Unit 4Solving Equations and Inequalities

In the game: Cogspire Heights, island 4

  1. 4.1Justifying the steps of a solutionProperties of Equality, Variables and Constants on Both Sides, Multi-Step Linear Equations
  2. 4.2Rearranging formulas with unitsSolving Formulas for a Variable
  3. 4.3Solving literal equationsSolving Formulas for a Variable, Forms of Linear Equations, Equations with Fractions and Decimals
  4. 4.4Comparing expressions: inequalitiesUse the Language of Algebra, Solving Linear Inequalities
  5. 4.5Solving inequalities, and when the sign turnsSolving Linear Inequalities
  6. 4.6Multi-step inequalities and their solutionsSolving Linear Inequalities, Multi-Step Linear Equations, Inequality Word Problems
  7. 4.7Data in matrices: adding and scalingMatrices
  8. 4.8Totals from a matrixMatrices
  9. 4.9Matrix arithmeticMatrices

Unit 5Systems and Constraints

In the game: Mistfall Terraces, island 5

  1. 5.1Systems by tables, graphs and substitutionSolving Systems by Graphing, Solving Systems by Substitution, Systems of Equations Word Problems
  2. 5.2Limits written as inequalitiesSystems of Linear Inequalities, Graphing Inequalities in Two Variables, Inequality Word Problems
  3. 5.3Graphing an inequality in two variablesGraphing Inequalities in Two Variables
  4. 5.4Standard form and interceptsForms of Linear Equations, Intercepts, Slope-Intercept Form
  5. 5.5Writing and graphing constraintsGraphing Inequalities in Two Variables, Systems of Linear Inequalities
  6. 5.6Systems of inequalities: the feasible regionSolving Systems by Graphing, Graphing Inequalities in Two Variables, Systems of Linear Inequalities
  7. 5.7Which side to shadeSolving Systems by Graphing, Graphing Inequalities in Two Variables
  8. 5.8Prices from two purchasesSolving Systems by Elimination, Mixture Problems with Systems, Systems of Equations Word Problems
  9. 5.9Solving by eliminationSolving Systems by Elimination
  10. 5.10One, none or infinitely many solutionsSolving Systems by Graphing, Solving Systems by Substitution, Solving Systems by Elimination
  11. 5.11Matrices for a store's dataMatrices
  12. 5.12Solving systems with matricesMatrices

Unit 6Rigid Motions and Symmetry

In the game: Kitecliff Reach, island 6

  1. 6.1Slides, turns and flipsRigid Transformations
  2. 6.2Parallel and perpendicular by slopeSlope-Intercept Form, Coordinate Geometry
  3. 6.3The motions that carry one figure onto anotherRigid Transformations
  4. 6.4Defining each rigid motionRigid Transformations
  5. 6.5Symmetries of quadrilateralsRigid Transformations
  6. 6.6Symmetries of regular polygonsRigid Transformations
  7. 6.7What symmetry says about quadrilateralsRigid Transformations, Coordinate Geometry

Unit 7Constructions and Congruent Triangles

In the game: Gearwhistle Foundry, island 7

  1. 7.1Compass and straightedge constructionsTriangle Congruence
  2. 7.2More constructionsTriangle Congruence
  3. 7.3Congruence by a sequence of rigid motionsRigid Transformations, Triangle Congruence
  4. 7.4Triangle congruence criteriaTriangle Congruence
  5. 7.5Using congruent trianglesTriangle Congruence
  6. 7.6Why the constructions workTriangle Congruence

Unit 8Coordinate Geometry, Vectors and Matrices

In the game: Sunsail Archipelago, island 8

  1. 8.1The distance formulaCoordinate Geometry, Right Triangles
  2. 8.2Midpoints and partitions of a segmentCoordinate Geometry
  3. 8.3Why parallel and perpendicular slopes workSlope-Intercept Form, Equation of a Line, Coordinate Geometry
  4. 8.4Classifying figures by their coordinatesCoordinate Geometry
  5. 8.5Vectors: adding and scalingRigid Transformations, Matrices
  6. 8.6More matrix arithmeticMatrices
  7. 8.7Transformations by matrixRigid Transformations
  8. 8.8The determinantMatrices
  9. 8.9Systems by inverse matricesMatrices, Solving Systems by Elimination
  10. 8.10Larger systems by matrixMatrices, Solving Systems by Elimination, Solving Systems by Substitution

Unit 9Statistics and Data

In the game: Thunderhead Rookery, island 9

  1. 9.1Scatter plots and correlationScatter Plots and Lines of Fit
  2. 9.2Lines of best fitScatter Plots and Lines of Fit, Regression Output
  3. 9.3Reading the correlation coefficientScatter Plots and Lines of Fit, Regression Output
  4. 9.4ResidualsScatter Plots and Lines of Fit, Regression Output
  5. 9.5What correlation does and does not showScatter Plots and Lines of Fit, Regression Output
  6. 9.6Displays: shape, center and spreadData Displays, Measures of Center, Measures of Spread
  7. 9.7Standard deviationSpread About the Mean, Measures of Spread
  8. 9.8Comparing distributionsData Displays, Spread About the Mean, Measures of Center, Measures of Spread
  9. 9.9Two-way tablesTwo-Way Tables

MathBound is not affiliated with or endorsed by Mathematics Vision Project (Open Up Resources). MVP Mathematics I (Integrated Math 1) 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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