Session 1: Algebraic Thinking

Part A: A Framework for Algebraic Thinking

Part B: Reasoning About Situations

Eric the Sheep | Changing the Rules

Part C: Qualitative Graphs

Introduction to Qualitative Graphs | The Bus Stop Queue
Going to School | Descriptive Graphs | Filling Bottles

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes

Solutions:

Part B Solutions
Part C Solutions
Homework Solutions

Video

Session 2: Patterns in Context

Part A: What Do You See?

Finding a Pattern | Descriptions of a Pattern

Part B: Patterns in Situations

Toothpick Triangles | More Toothpick Triangles

Part C: Different Uses of Variables

Part D: Counting Stairs

Part E: Summing Up

Homework:

Notes:

Part A Notes
Part B Notes
Part C Notes
Part D Notes
Part E Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions
Part E Solutions
Homework Solutions

Video

Session 3: Functions and Algorithms

Part A: Doing and Undoing

Part B: Undoing Algorithms

Part C: Function Machines

About Function Machines | Running a Function Machine
Function Machines and Undoing

Part D: Number Games

Part E: Other Kinds of Functions

Functions and Non-Functions | More Functions | A Geometric Function

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes
Part D Notes
Part E Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions
Part E Solutions
Homework Solutions

Video

Session 4: Proportional Reasoning

Part A: Two Different Meanings of "More"

Part B: The Mixture Blues

Comparing Mixtures | Mixing Blues

Part C: Quadperson

Playing with Quadperson | Analyzing the Results
Graphs of Proportional Relationships

Part D: Speeds, Rates, Steepness, and Lines

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes
Part D Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions
Homework Solutions

Video

Session 5: Linear Functions and Slope

Part A: Linear Relationships in Patterns

Finding the Pattern | Spreadsheet Tutorial | Using a Spreadsheet

Part B: Slope

Thinking About Slope | Comparing Slopes | Slopes and Architecture

Part C: Rates

Part D: Putting It Together

Part E: Thinking About Technology

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes
Part D Notes
Part E Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions
Homework Solutions

Video

Session 6: Solving Equations

Part A: Equality and Balance

Equality | Modeling with Balance Scales

Part B: False Position and Backtracking

False Position | Backtracking

Part C: Bags, Blocks, and Balance

Balance Scale Activity | Balance Puzzles and Equations

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Homework Solutions

Video

Session 7: Nonlinear Functions

Part A: Exploring Exponential Functions

Changing + to * | Introduction to Exponential Functions

Part B: Exponential Growth

A Salary Situation | Population Growth

Part C: Figurate Numbers

Square Numbers | Triangular Numbers

Part D: Quadratic Functions

Quadratic Functions and Differences | Summary

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes
Part D Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions
Homework Solutions

Video

Session 8: More Nonlinear Functions

Part A: Cyclic Functions

Tides | Heartbeats

Part B: Inverse Proportions

Splitting a Prize | Ms. Anwar's Backyard | Another Inverse Porportion

Part C: Different Functions

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Homework Solutions

Video

Session 9: Algebraic Structure

Part A: Comparing Operations

Part B: Guess My Rule

Part C: Algebraic Structures

Units Digit | A New Algebraic Structure | Properties
More Properties

Part D: Working with Algebraic Structures

Units Digit Equations | Cryptography

Part E: Summing Up

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes
Part D Notes
Part E Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions
Homework Solutions

Video

Session 10: Classroom Case Studies

Grades K-2

Part A: Classroom Video

Part B: Developing Algebraic Thinking

Part C: More Problems

Strips and Balancing Blocks | Shape Machines | Number Machines
Mystery Machines | Two Steppers

Part D: Critiquing Student Lessons

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes
Part D Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions

Video

Grades 3-5

Part A: Classroom Video

Part B: Developing Algebraic Thinking

Part C: Algebraic Patterns

Part D: More Problems

Part E: Critiquing Student Lessons

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes
Part D Notes
Part E Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions
Part E Solutions

Video

Grades 6-8

Part A: Classroom Video

Part B: Developing Algebraic Thinking

Part C: Algebraic Patterns

Part D: More Problems

Part E: Critiquing Student Lessons

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes
Part D Notes
Part E Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions
Part E Solutions

Video