MathBound Standard Algebra 1: the usual US order

No textbook, or one we don’t follow yet? The standard course takes the order most US Algebra 1 programs share: 12 chapters and 78 lessons, each chapter a sky island in the game and each lesson a landing on it.

The usual US Algebra 1 order. Choose this if your class does not use one of the listed textbooks.

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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 1Expressions and Real Numbers

In the game: Windward Landing, island 1

  1. 1.1Variables and expressionsUse the Language of Algebra
  2. 1.2Order of operationsUse the Language of Algebra
  3. 1.3Operations with integersAdd and Subtract Integers, Multiply and Divide Integers
  4. 1.4Properties and like termsProperties of Real Numbers, Use the Language of Algebra
  5. 1.5Real numbers, square roots and right trianglesThe Real Numbers, Right Triangles

Chapter 2Solving Linear Equations

In the game: Brasswing Bluffs, island 2

  1. 2.1One-step equationsOne-Step Equations: Adding and Subtracting, One-Step Equations: Multiplying and Dividing, Properties of Equality
  2. 2.2Two-step and multi-step equationsTwo-Step Equations, Multi-Step Linear Equations, Equations with Fractions and Decimals
  3. 2.3Variables on both sidesVariables on Both Sides, Variables and Constants on Both Sides, Multi-Step Linear Equations
  4. 2.4Absolute value equationsAbsolute Value Equations, Add and Subtract Integers
  5. 2.5Formulas, units and precisionSolving Formulas for a Variable, Precision and Accuracy
  6. 2.6Ratios, proportions and percentsProportion and Similar Figures, Percent Word Problems
  7. 2.7Modeling with equationsTurning Words into Equations, Distance, Rate and Time, Perimeter, Area and Circles

Chapter 3Linear Inequalities

In the game: Lantern Isle, island 3

  1. 3.1Writing and graphing inequalitiesSolving Linear Inequalities, Use the Language of Algebra
  2. 3.2One-step inequalitiesSolving Linear Inequalities
  3. 3.3Multi-step inequalitiesSolving Linear Inequalities
  4. 3.4Compound inequalitiesCompound and Absolute Value Inequalities, Use the Language of Algebra
  5. 3.5Absolute value inequalitiesAbsolute Value Equations, Compound and Absolute Value Inequalities
  6. 3.6Inequality word problemsInequality Word Problems

Chapter 4Functions

In the game: Cogspire Heights, island 4

  1. 4.1The coordinate planeThe Coordinate Plane
  2. 4.2Relations and functionsRelations and Functions, Discrete and Continuous Functions
  3. 4.3Function notationFunction Notation, Reading Graphs of Functions, Linear Models in Context
  4. 4.4Linear and nonlinear functionsFunction Notation, Linear, Quadratic and Exponential Models
  5. 4.5Rate of changeRate of Change, Linear Models in Context, Slope
  6. 4.6Arithmetic sequencesArithmetic Sequences, Recursive Rules
  7. 4.7Reading graphs of functionsReading Graphs of Functions, Graphs of Situations

Chapter 5Linear Functions

In the game: Mistfall Terraces, island 5

  1. 5.1Graphing lines and interceptsGraph Linear Equations, Intercepts, Slope-Intercept Form
  2. 5.2SlopeSlope
  3. 5.3Slope-intercept formSlope-Intercept Form, Equation of a Line, Linear Models in Context
  4. 5.4Point-slope formForms of Linear Equations, Equation of a Line
  5. 5.5Standard formForms of Linear Equations, Slope-Intercept Form, Solving Formulas for a Variable
  6. 5.6Parallel and perpendicular linesSlope-Intercept Form, Equation of a Line
  7. 5.7Transformations and absolute value graphsTransformations of Functions, Absolute Value, Piecewise and Square Root Functions
  8. 5.8Scatter plots and lines of fitScatter Plots and Lines of Fit

Chapter 6Systems of Equations and Inequalities

In the game: Kitecliff Reach, island 6

  1. 6.1Solving systems by graphingSolving Systems by Graphing, Reading Graphs of Functions
  2. 6.2Solving by substitutionSolving Systems by Substitution
  3. 6.3Solving by eliminationSolving Systems by Elimination
  4. 6.4Systems word problemsSystems of Equations Word Problems, Solving Systems by Substitution, Turning Words into Equations, Perimeter, Area and Circles, Mixture Problems with Systems
  5. 6.5Linear inequalities in two variablesGraphing Inequalities in Two Variables
  6. 6.6Systems of inequalitiesSystems of Linear Inequalities, Solving Systems by Graphing, Graphing Inequalities in Two Variables

Chapter 7Exponents and Exponential Functions

In the game: Gearwhistle Foundry, island 7

  1. 7.1Properties of exponentsProduct and Power Properties of Exponents, Quotient Property and Zero Exponents
  2. 7.2Negative exponents and scientific notationInteger Exponents and Scientific Notation
  3. 7.3Radicals and rational exponentsRational Exponents, Product and Power Properties of Exponents, Higher Roots
  4. 7.4Exponential functions and their graphsExponential Functions, Graphs of Exponential Functions
  5. 7.5Exponential growth and decayExponential Functions, Exponential Growth and Decay, Compound Interest
  6. 7.6Geometric sequencesGeometric Sequences, Recursive Rules
  7. 7.7Exponential equationsExponential Equations, Product and Power Properties of Exponents

Chapter 8Polynomials and Factoring

In the game: Sunsail Archipelago, island 8

  1. 8.1Adding and subtracting polynomialsAdd and Subtract Polynomials
  2. 8.2Multiplying polynomialsMultiply Polynomials
  3. 8.3Special productsSpecial Products
  4. 8.4Greatest common factor and groupingGreatest Common Factor and Grouping
  5. 8.5Factoring x² + bx + cFactoring Trinomials (x² + bx + c)
  6. 8.6Factoring ax² + bx + cFactoring Trinomials (ax² + bx + c)
  7. 8.7Special patterns and factoring completelyFactor Special Products, General Factoring Strategy
  8. 8.8Solving equations by factoringSolving Quadratics by Factoring

Chapter 9Quadratic Functions

In the game: Thunderhead Rookery, island 9

  1. 9.1Graphs of y = ax² + cForms of Quadratic Functions, Graphing Parabolas
  2. 9.2Standard form: axis, vertex and interceptsGraphing Parabolas
  3. 9.3Vertex formForms of Quadratic Functions
  4. 9.4Intercept formForms of Quadratic Functions
  5. 9.5Maximums, minimums and rates of changeGraphing Parabolas, Rate of Change
  6. 9.6Reading a parabola: zeros, extremes and rangeReading Graphs of Functions, Graphing Parabolas
  7. 9.7Comparing linear, exponential and quadratic modelsLinear, Quadratic and Exponential Models

Chapter 10Solving Quadratic Equations

In the game: Copperroot Hollow, island 10

  1. 10.1Solving with square rootsSquare Root Property
  2. 10.2Completing the squareComplete the Square, Vertex Form by Completing the Square
  3. 10.3The quadratic formula and the discriminantQuadratic Formula
  4. 10.4Quadratic word problemsQuadratic Word Problems, Right Triangles
  5. 10.5A line and a parabolaLinear-Quadratic Systems

Chapter 11Radicals and More Functions

In the game: Skyglass Observatory, island 11

  1. 11.1Simplifying radicalsSimplify Square Roots, Add and Subtract Square Roots
  2. 11.2Multiplying and dividing radicalsMultiply Square Roots, Divide Square Roots
  3. 11.3Radical equationsSolve Radical Equations, Solving Quadratics by Factoring
  4. 11.4Square root, cube root and parent functionsAbsolute Value, Piecewise and Square Root Functions, Transformations of Functions, Function Families
  5. 11.5Piecewise and step functionsAbsolute Value, Piecewise and Square Root Functions, Step Functions
  6. 11.6Combining and inverting functionsOperations with Functions, Absolute Value, Piecewise and Square Root Functions, Function Notation

Chapter 12Data Analysis

In the game: Galeheart Citadel, island 12

  1. 12.1Measures of centerMeasures of Center
  2. 12.2Measures of spreadMeasures of Spread, Spread About the Mean
  3. 12.3Kinds of data, displays and shapeKinds of Data and Displays, Data Displays
  4. 12.4Box plots and five-number summariesMeasures of Spread, Data Displays
  5. 12.5Two-way tablesTwo-Way Tables
  6. 12.6Correlation, residuals and regressionScatter Plots and Lines of Fit, Regression Output

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