Connected Mathematics

Grade Seven Contents — Lesson Alignment

Grade Six Grade Seven Grade Eight

Variables and Patterns
- Investigation One: Variables and Coordinate Graphs
  - Variables, Plotting Data
- Investigation Two: Graphing Change
  - Graphing Change over Time, Analyzing Graphs
- Investigation Three: Analyzing Graphs and Tables
  - Analyzing Tables and Graphs, Making Graphs from Tables
- Investigation Four: Patterns and Rules
  - Equations, Writing Equations, Cost-Profit Relationships
- Investigation Five: Using a Graphing Calculator
  - Introduction to the Graphing Calculator
Stretching and Shrinking
- Investigation One: Enlarging Figures
  - Enlarging a Figure, Corresponding Parts
- Investigation Two: Similar Figures
  - Ordered Points, Similar Figures, Ratios
- Investigation Three: Patterns of Similar Figures
  - Similar Figures, Rep-tiles
- Investigation Four: Using Similarity
  - Scale Factors, Map Scales
- Investigation Five: Similar Triangles
  - Applications of Similar Triangles
- Investigation Six: Stretching and Shrinking with a Computer
  - Using the Turtle Math Program
Comparing and Scaling
- Investigation One: Making Comparsions
  - Ratios, Writing Ratios in Different Forms, Communicating Ratios
- Investigation Two: Comparing by Finding Percents
  - Using Ratios as Percents, Finding Ratios, Comparing Ratios
- Investigation Three: Comparing by Using Ratios
  - Part-to-Part Ratios, Part-to-Whole Ratios, Applications of Ratios, Equivalent Ratios
- Investigation Four: Comparing By Finding Rates
  - Rates, Unit Rates, Using Rates
- Investigation Five: Estimating Populations and Population Densities
  - Estimating Populations, Using Samples, Comparing Population Densities
- Investigation Six: Choosing Strategies
  - Using Rule of Thumb, Delegates, Proportions
Accentuate the Negative
- Investigation One: Extending the Number Line
  - Negative Numbers, Comparing Integers, Opposite Numbers, Distance Between Numbers
- Investigation Two: Adding Integers
  - Integers, Various Representations of Integers, Adding Integers
- Investigation Three: Subtracting Integers
  - Subtracting Integers, Absolute Value, Various Represetations of Subtracting Integers
- Investigation Four: Multiplying and Dividing Integers
  - Average Change, Multiplying Integers, Dividing Integers, Relating Multiplication and Division
- Investigation Five: Coordinate Grids
  - Coordinate Plane, Plotting in Four Quadrants, Equations, Using a Graphing Calculator
Moving Straight Ahead
- Investigation One: Predicting from Patterns
  - Making Graphs, Predicting Outcomes
- Investigation Two: Walking Rates
  - Functions, Graphing Functions, Wrting Equations
- Investigation Three: Exploring Lines with a Graphing Calculator
  - Using a Graphing Calculator, Finding Solutions to a Line, Vocabulary with Lines
- Investigation Four: Solving Equations
  - Finding Solutions to Equations
- Investigation Five: Exploring Slope
  - Determing Slope
- Investigation Six: Writing an Equation for a Line
  - Finding the Equation for a Line
Filling and Wrapping
- Investigation One: Building Box
  - Cubes, Prisms, Flat Patterns of Cubes and Rectangular Prims
- Investigation Two: Designing Packages
  - Volume, Surface Area, Dimensions of Rectangular Prisms
- Investigation Three: Finding Volumes of Boxes
  - Constructing Prisms, Volume, Surface Area
- Investigation Four: Cylinders
  - Parts of a Cylinder, Flat Patterns of Cylinders, Volume and Surface Area of Cylinders
- Investigation Five: Cones and Spheres
  - Dimensions of Cones and Spheres, Relationships between Cylinders and Spheres and Cones
- Investigation Six: Scaling Boxes
  - Scale Factors, Similar Prisms
- Investigation Seven: Finding Volumes of Irregular Objects
  - Volumes of Irregular Objects
What Do You Expect?
- Investigation One: Evaluating Games of Chance
  - Experimental Probability, Theoretical Probability, Tree Diagrams
- Investigation Two: Analyzing Number-Cube Games
  - Experimental Probability, Theoretical Probability, Tree Diagrams, Fairness
- Investigation Three: Probability and Area
  - Randomness, Probability and Area
- Investigation Four: Analyzing Two-Stage Games
  - Analyzing Probability, Two Stage Probability
- Investigation Five: Expected Value
  - Expected Value
- Investigation Six: Carnival Games
  - Expected Value
- Investigation Seven: Analyzing Sequences of Outcomes
  - Applications of Probability
Data Around Us
- Investigation One: Interpreting Disaster Reports
  - Comparing Quantities
- Investigation Two: Measuring Oil Spills
  - Units of Measure, Large Numbers
- Investigation Three: Comparing Large Numbers
  - Comparing Large Numbers, Rounding
- Investigation Four: How Many Is a Million?
  - Scientific Notation
- Investigation Five: Every Litter Bit Hurts
  - Effects of Compounding
- Investigation Six: On an Average Day
  - Rates, Unit Rates