What are Scaled Copies?
Corresponding Parts and Scale Factors
Making Scaled Copies
Scaled Relationships
The Size of the Scale Factor
Scaling and Area
Scale Drawings
Scale Drawings and Maps
Creating Scale Drawings
Changing Scales in Scale Drawings
Scales without Units
Units in Scale Drawings
Draw It to Scale
One of These Things Is Not Like the Others
Introducing Proportional Relationships with Tables
More about Constant of Proportionality
Proportional Relationships and Equations
Two Equations for Each Relationship
Using Equations to Solve Problems
Comparing Relationships with Tables
Comparing Relationships with Equations
Solving Problems about Proportional Relationships
Introducing Graphs of Proportional Relationships
Interpreting Graphs of Proportional Relationships
Using Graphs to Compare Relationships
Two Graphs for Each Relationship
Four Representations
Using Water Efficiently
How Well Can You Measure?
Exploring Circles
Exploring Circumference
Applying Circumference
Circumference and Wheels
Estimating Areas
Exploring the Area of a Circle
Relating Area to Circumference
Applying Area of Circles
Distinguishing Circumference and Area
Stained-Glass Windows
Lots of Flags
Ratios and Rates With Fractions
Revisiting Proportional Relationships
Half as Much Again
Say It with Decimals
Increasing and Decreasing
One Hundred Percent
Percent Increase and Decrease with Equations
More and Less than 1%
Tax and Tip
Percentage Contexts
Finding the Percentage
Measurement Error
Percent Error
Error Intervals
Posing Percentage Problems
Interpreting Negative Numbers
Changing Temperatures
Changing Elevation
Money and Debts
Representing Subtraction
Subtracting Rational Numbers
Adding and Subtracting to Solve Problems
Position, Speed, and Direction
Multiplying Rational Numbers
Multiply!
Dividing Rational Numbers
Negative Rates
Expressions with Rational Numbers
Solving Problems with Rational Numbers
Solving Equations with Rational Numbers
Representing Contexts with Equations
The Stock Market
Relationships between Quantities
Reasoning about Contexts with Tape Diagrams (Part 1)
Reasoning about Contexts with Tape Diagrams (Part 2)
Reasoning about Equations and Tape Diagrams (Part 1)
Reasoning about Equations and Tape Diagrams (Part 2)
Distinguishing between Two Types of Situations
Reasoning about Solving Equations (Part 1)
Reasoning about Solving Equations (Part 2)
Dealing with Negative Numbers
Different Options for Solving One Equation
Solving Problems about Percent Increase or Decrease
Reintroducing Inequalities
Finding Solutions to Inequalities in Context
Efficiently Solving Inequalities
Interpreting Inequalities
Modeling with Inequalities
Subtraction in Equivalent Expressions
Expanding and Factoring
Combining Like Terms (Part 1)
Combining Like Terms (Part 2)
Combining Like Terms (Part 3)
Relationships of Angles
Adjacent Angles
Nonadjacent Angles
Solving for Unknown Angles
Using Equations to Solve for Unknown Angles
Building Polygons (Part 1)
Building Polygons (Part 2)
Triangles with 3 Common Measures
Drawing Triangles (Part 1)
Drawing Triangles (Part 2)
Slicing Solids
Volume of Right Prisms
Decomposing Bases for Area
Surface Area of Right Prisms
Distinguishing Volume and Surface Area
Applying Volume and Surface Area
Building Prisms
Mystery Bags
Chance Experiments
What Are Probabilities?
Estimating Probabilities Through Repeated Experiments
More Estimating Probabilities
Estimating Probabilities Using Simulation
Simulating Multi-step Experiments
Keeping Track of All Possible Outcomes
Multi-step Experiments
Designing Simulations
Comparing Groups
Larger Populations
What Makes a Good Sample?
Sampling in a Fair Way
Estimating Population Measures of Center
Estimating Population Proportions
More about Sampling Variability
Comparing Populations Using Samples
Comparing Populations With Friends
Memory Test
Planning Recipes
Costs of Running a Restaurant
More Costs of Running a Restaurant
Restaurant Floor Plan
How Crowded Is this Neighborhood?
Fermi Problems
More Expressions and Equations
Measurement Error (Part 1)
Measurement Error (Part 2)
Measuring Long Distances Over Uneven Terrain
Building a Trundle Wheel
Using a Trundle Wheel to Measure Distances
Designing a 5K Course
Let’s estimate some quantities.
What is your exact age at this moment?
How many times has your heart beat in your lifetime?
How many strands of hair do you have on your head?