Site Map for this Course
Patterns, Functions and Algebra home page
Overview | Who's Who | Credits | Video Index | Reading List | Support Materials
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:
Part A Notes Part B Notes Part C Notes Part D Notes Part E Notes
Part A Solutions Part B Solutions Part C Solutions Part D Solutions Part E Solutions Homework Solutions
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
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
Part A Notes Part B Notes Part C Notes Part D Notes
Part A Solutions Part B Solutions Part C Solutions Part D Solutions Homework Solutions
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
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
Part A Solutions Part B Solutions Part C Solutions Homework Solutions
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
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
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
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
Part A Solutions Part B Solutions Part C Solutions Part D Solutions
Grades 3-5
Part C: Algebraic Patterns
Part D: More Problems
Part E: Critiquing Student Lessons
Part A Solutions Part B Solutions Part C Solutions Part D Solutions Part E Solutions
Grades 6-8
Learning Math Home | Algebra Home
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