Connected Mathematics

Grade Eight Contents — Lesson Alignment

Grade Six Grade Seven Grade Eight

Thinking with Mathematical Models
- Investigation One: Linear Models
  - Graphs, Linear Equations, Slope, Y-intercept
- Investigation Two: Nonlinear Models
  - Direct Variation, Indirect Variation, Using Graphs to Make Predictions
- Investigation Three: More Nonlinear Models
  - Nonlinear Growth, Drawing Functions
- Investigation Four: A World of Patterns
  - Graphs to Model Situations, Using a Graphing Calculator, Writing Equations for Graphs
Looking for Pythagoras
- Investigation One: Locating Points
  - Coordinate Systems, Locating Points, Mid-Point Formula
- Investigation Two: Finding Areas and Lengths
  - Square Roots, Finding Area on Grid Paper, Lengths
- Investigation Three: The Pythagorean Theorem
  - Parts of a Right Triangle, Relationship between Squares and Right Triangles, Theorems, Pythagorean Theorem
- Investigation Four: Using the Pythagorean Theorem
  - Equilateral Triangles, Perpendicular Bisector, Perimeter
- Investigation Five: Irrational Numbers
  - Irrational Square Roots, the Wheel of Theodorus, Terminating Decimals, Repeating Decimals, Fraction-Decimal Equivalence
- Investigation Six: Rational and Irrational Slopes
  - Slopes, Parallel Lines, Perpendicular Lines
Growing, Growing, Growing
- Investigation One: Exponential Growth
  - Exponents, Standard Form, Exponential Growth
- Investigation Two: Growth Patterns
  - Graphs of Exponential Growths, Growth Factors, Equations for Exponential Growth
- Investigation Three: Growth Factors
  - Compound Growth, Investments
- Investigation Four: Exponential Decay
  - Exponential Decay
Frogs, Fleas and Painted Cubes
- Investigation One: Introduction to Quadratic Relationships
  - Parabolas, Quadratic Relationships, Length - Area Relationships
- Investigation Two: Quadratic Expressions
  - Factored Form, Expanded Form, Parts of a Parabola
- Investigation Three: Quadratic Patterns of Change
  - Triangular Numbers, Square Numbers, Rectangular Numbers
- Investigation Four: What Is a Quadratic Function?
  - Quadratic Functions, Change Over Time, Graphing Quadratic Functions
- Investigation Five: Painted Cubes
  - Centimeter Cubes
Say It with Symbols
- Investigation One: Order of Operations
  - Addition, Multiplication, Division, Exponents, Substitution
- Investigation Two: Equivalent Expressions
  - Factored Form, Expanded Form
- Investigation Three: Some Important Properties
  - Properties of Addition, Properties of Multiplication, Distributive Property, Equivalent Expressions
- Investigation Four: Solving Equations
  - Solving Linear Equations, Solving Quadratic Equations
- Investigation Five: Writing Expressions for Surface Area
  - Surface Area
Kaleidoscopes, Hubcaps, and Mirrors
- Investigation One: Three Types of Symmetry
  - Reflectional Symmetry, Rotational Symmetry, Translational Symmetry, Tessellations
- Investigation Two: Symmetry Transformations
  - Transformations, Line Reflections, Translations, Rotations, Multiple Transformations
- Investigation Three: Transforming Coordinates
  - Describing Transformations, Congruent Figures
- Investigation Four: Symmetry and Algebra
  - Transforming Figures, Properties of Addition and Multiplication, New Operations
Samples and Populations
- Investigation One: Comparing Data Sets
  - Box Plots, Five Number Summary, Scatter Plots
- Investigation Two: Conducting Surveys
  - Populations, Samples, Types of Questions
- Investigation Three: Random Samples
  - Selecting Samples, Sample Sizes
- Investigation Five: Solving Real-World Problems
  - Using Data
Clever Counting
- Investigation One: Counting Possibilities
  - Tree Diagrams
- Investigation Two: Opening Locks
  - Sequences, Combinations, Factorials
- Investigation Three: Networks
  - Networks, Nodes, Edges, Paths
- Investigation Four: Deciding Whether Order is Important
  - Combinations, Permutations
- Investigation Five: Wrapping Things Up
  - Combinations, Permutations