Connected Mathematics

Grade Eight Contents — Activity Alignment

Each of the links below will take you to an activity to explore to learn about the underlined concept. On each activity you will see:

These buttons take you to more information about the activity. Be sure to press the What? button to find out about other activities that help with the same or similar concepts.

1. 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
2. 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
3. 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
4. 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
5. 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
6. 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, Defining Operations
7. 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
8. 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