Contents
Lesson 1: A Different Kind of Change
1.1: Notice and Wonder: Three Tables
1.2: Measuring a Garden
1.3: Plotting the Measurements of the Garden
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Lesson 1 Summary
Lesson 1 Practice Problems
Lesson 2: How Does it Change?
2.1: Squares in a Figure
2.2: Patterns of Dots
2.3: Expressing a Growth Pattern
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Lesson 2 Summary
Glossary
Lesson 2 Practice Problems
Lesson 3: Building Quadratic Functions from Geometric Patterns
3.1: Quadratic Expressions and Area
3.2: Expanding Squares
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3.3: Growing Steps
Lesson 3 Summary
Glossary
Lesson 3 Practice Problems
Lesson 4: Comparing Quadratic and Exponential Functions
4.1: From Least to Greatest
4.2: Which One Grows Faster?
4.3: Comparing Two More Functions
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Lesson 4 Summary
Lesson 4 Practice Problems
Lesson 5: Building Quadratic Functions to Describe Situations (Part 1)
5.1: Notice and Wonder: An Interesting Numerical Pattern
5.2: Falling from the Sky
5.3: Galileo and Gravity
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Lesson 5 Summary
Lesson 5 Practice Problems
Lesson 6: Building Quadratic Functions to Describe Situations (Part 2)
6.1: Sky Bound
6.2: Tracking a Cannonball
6.3: Graphing Another Cannonball
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Lesson 6 Summary
Glossary
Lesson 6 Practice Problems
Lesson 7: Building Quadratic Functions to Describe Situations (Part 3)
7.1: Which One Doesn’t Belong: Graphs of Four Functions
7.2: What Price to Charge?
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7.3: Domain, Vertex, and Zeros
Lesson 7 Summary
Lesson 7 Practice Problems
Lesson 8: Equivalent Quadratic Expressions
8.1: Diagrams of Products
8.2: Drawing Diagrams to Represent More Products
8.3: Using Diagrams to Find Equivalent Quadratic Expressions
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Lesson 8 Summary
Lesson 8 Practice Problems
Lesson 9: Standard Form and Factored Form
9.1: Math Talk: Opposites Attract
9.2: Finding Products of Differences
9.3: What is the Standard Form? What is the Factored Form?
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Lesson 9 Summary
Glossary
Lesson 9 Practice Problems
Lesson 10: Graphs of Functions in Standard and Factored Forms
10.1: A Linear Equation and Its Graph
10.2: Revisiting Projectile Motion
10.3: Relating Expressions and Their Graphs
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Lesson 10 Summary
Lesson 10 Practice Problems
Lesson 11: Graphing from the Factored Form
11.1: Finding Coordinates
11.2: Comparing Two Graphs
11.3: What Do We Need to Sketch a Graph?
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Lesson 11 Summary
Lesson 11 Practice Problems
Lesson 12: Graphing the Standard Form (Part 1)
12.1: Matching Graphs to Linear Equations
12.2: Quadratic Graphs Galore
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12.3: What Do These Tables Reveal?
12.4: Card Sort: Representations of Quadratic Functions
Lesson 12 Summary
Lesson 12 Practice Problems
Lesson 13: Graphing the Standard Form (Part 2)
13.1: Equivalent Expressions
13.2: What about the Linear Term?
13.3: Writing Equations to Match Graphs
Lesson 13 Summary
Lesson 13 Practice Problems
Lesson 14: Graphs That Represent Situations
14.1: A Jumping Frog
14.2: A Catapulted Pumpkin
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14.3: Flight of Two Baseballs
14.4: Info Gap: Rocket Math
Lesson 14 Summary
Lesson 14 Practice Problems
Lesson 15: Vertex Form
15.1: Notice and Wonder: Two Sets of Equations
15.2: A Whole New Form
15.3: Playing with Parameters
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Lesson 15 Summary
Glossary
Lesson 15 Practice Problems
Lesson 16: Graphing from the Vertex Form
16.1: Which Form to Use?
16.2: Sharing a Vertex
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16.3: Card Sort: Matching Equations with Graphs
Lesson 16 Summary
Lesson 16 Practice Problems
Lesson 17: Changing the Vertex
17.1: Graphs of Two Functions
17.2: Shifting the Graph
17.3: A Peanut Jumping over a Wall
17.4: Smiley Face
Lesson 17 Summary
Lesson 17 Practice Problems
Learning Targets
Lesson 1: A Different Kind of Change
Lesson 2: How Does it Change?
Lesson 3: Building Quadratic Functions from Geometric Patterns
Lesson 4: Comparing Quadratic and Exponential Functions
Lesson 5: Building Quadratic Functions to Describe Situations (Part 1)
Lesson 6: Building Quadratic Functions to Describe Situations (Part 2)
Lesson 7: Building Quadratic Functions to Describe Situations (Part 3)
Lesson 8: Equivalent Quadratic Expressions
Lesson 9: Standard Form and Factored Form
Lesson 10: Graphs of Functions in Standard and Factored Forms
Lesson 11: Graphing from the Factored Form
Lesson 12: Graphing the Standard Form (Part 1)
Lesson 13: Graphing the Standard Form (Part 2)
Lesson 14: Graphs That Represent Situations
Lesson 15: Vertex Form
Lesson 16: Graphing from the Vertex Form
Lesson 17: Changing the Vertex
Lesson 1: Finding Unknown Inputs
1.1: What Goes Up Must Come Down
1.2: A Trip to the Frame Shop
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1.3: Representing the Framing Problem
Lesson 1 Summary
Glossary
Lesson 1 Practice Problems
Lesson 2: When and Why Do We Write Quadratic Equations?
2.1: How Many Tickets?
2.2: The Flying Potato Again
2.3: Revenue from Ticket Sales
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Lesson 2 Summary
Glossary
Lesson 2 Practice Problems
Lesson 3: Solving Quadratic Equations by Reasoning
3.1: How Many Solutions?
3.2: Finding Pairs of Solutions
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Lesson 3 Summary
Lesson 3 Practice Problems
Lesson 4: Solving Quadratic Equations with the Zero Product Property
4.1: Math Talk: Solve These Equations
4.2: Take the Zero Product Property Out for a Spin
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4.3: Revisiting a Projectile
Lesson 4 Summary
Glossary
Lesson 4 Practice Problems
Lesson 5: How Many Solutions?
5.1: Math Talk: Four Equations
5.2: Solving by Graphing
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5.3: Finding All the Solutions
5.4: Analyzing Errors in Equation Solving
Lesson 5 Summary
Lesson 5 Practice Problems
Lesson 6: Rewriting Quadratic Expressions in Factored Form (Part 1)
6.1: Puzzles of Rectangles
6.2: Using Diagrams to Understand Equivalent Expressions
6.3: Let’s Rewrite Some Expressions!
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Lesson 6 Summary
Glossary
Lesson 6 Practice Problems
Lesson 7: Rewriting Quadratic Expressions in Factored Form (Part 2)
7.1: Sums and Products
7.2: Negative Constant Terms
7.3: Factors of 100 and -100
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Lesson 7 Summary
Lesson 7 Practice Problems
Lesson 8: Rewriting Quadratic Expressions in Factored Form (Part 3)
8.1: Math Talk: Products of Large-ish Numbers
8.2: Can Products Be Written as Differences?
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8.3: What If There is No Linear Term?
Lesson 8 Summary
Lesson 8 Practice Problems
Lesson 9: Solving Quadratic Equations by Using Factored Form
9.1: Why Would You Do That?
9.2: Let’s Solve Some Equations!
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9.3: Revisiting Quadratic Equations with Only One Solution
Lesson 9 Summary
Lesson 9 Practice Problems
Lesson 10: Rewriting Quadratic Expressions in Factored Form (Part 4)
10.1: Which One Doesn’t Belong: Quadratic Expressions
10.2: A Little More Advanced
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10.3: Timing A Blob of Water
10.4: Making It Simpler
Lesson 10 Summary
Lesson 10 Practice Problems
Lesson 11: What are Perfect Squares?
11.1: The Thing We Are Squaring
11.2: Perfect Squares in Different Forms
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11.3: Two Methods
Lesson 11 Summary
Glossary
Lesson 11 Practice Problems
Lesson 12: Completing the Square (Part 1)
12.1: Perfect or Imperfect?
12.2: Building Perfect Squares
12.3: Dipping Our Toes in Completing the Square
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Lesson 12 Summary
Glossary
Lesson 12 Practice Problems
Lesson 13: Completing the Square (Part 2)
13.1: Math Talk: Equations with Fractions
13.2: Solving Some Harder Equations
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13.3: Spot Those Errors!
Lesson 13 Summary
Lesson 13 Practice Problems
Lesson 14: Completing the Square (Part 3)
14.1: Perfect Squares in Two Forms
14.2: Perfect in A Different Way
14.3: When All the Stars Align
14.4: Putting Stars into Alignment
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Lesson 14 Summary
Lesson 14 Practice Problems
Lesson 15: Quadratic Equations with Irrational Solutions
15.1: Roots of Squares
15.2: Solutions Written as Square Roots
15.3: Finding Irrational Solutions by Completing the Square
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Lesson 15 Summary
Glossary
Lesson 15 Practice Problems
Lesson 16: The Quadratic Formula
16.1: Evaluate It
16.2: Pesky Equations
16.3: Meet the Quadratic Formula
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Lesson 16 Summary
Glossary
Lesson 16 Practice Problems
Lesson 17: Applying the Quadratic Formula (Part 1)
17.1: No Solutions for You!
17.2: The Potato and the Pumpkin
17.3: Back to the Framer
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Lesson 17 Summary
Lesson 17 Practice Problems
Lesson 18: Applying the Quadratic Formula (Part 2)
18.1: Bits and Pieces
18.2: Using the Formula with Care
18.3: Sure About That?
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Lesson 18 Summary
Lesson 18 Practice Problems
Lesson 19: Deriving the Quadratic Formula
19.1: Studying Structure
19.2: Complete the Square using a Placeholder
19.3: Decoding the Quadratic Formula
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Lesson 19 Summary
Lesson 19 Practice Problems
Lesson 20: Rational and Irrational Solutions
20.1: Rational or Irrational?
20.2: Suspected Irrational Solutions
20.3: Experimenting with Rational and Irrational Numbers
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Lesson 20 Summary
Lesson 20 Practice Problems
Lesson 21: Sums and Products of Rational and Irrational Numbers
21.1: Operations on Integers
21.2: Sums and Products of Rational Numbers
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21.3: Sums and Products of Rational and Irrational Numbers
21.4: Equations with Different Kinds of Solutions
Lesson 21 Summary
Lesson 21 Practice Problems
Lesson 22: Rewriting Quadratic Expressions in Vertex Form
22.1: Three Expressions, One Function
22.2: Back and Forth
22.3: Inconvenient Coefficients
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22.4: Info Gap: Features of Functions
Lesson 22 Summary
Glossary
Lesson 22 Practice Problems
Lesson 23: Using Quadratic Expressions in Vertex Form to Solve Problems
23.1: Values of a Function
23.2: Maximums and Minimums
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23.3: All the World’s a Stage
Lesson 23 Summary
Glossary
Lesson 23 Practice Problems
Lesson 24: Using Quadratic Equations to Model Situations and Solve Problems
24.1: Equations of Two Lines and A Curve
24.2: The Dive
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24.3: A Linear Function and A Quadratic Function
Lesson 24 Summary
Lesson 24 Practice Problems
Learning Targets
Lesson 1: Finding Unknown Inputs
Lesson 2: When and Why Do We Write Quadratic Equations?
Lesson 3: Solving Quadratic Equations by Reasoning
Lesson 4: Solving Quadratic Equations with the Zero Product Property
Lesson 5: How Many Solutions?
Lesson 6: Rewriting Quadratic Expressions in Factored Form (Part 1)
Lesson 7: Rewriting Quadratic Expressions in Factored Form (Part 2)
Lesson 8: Rewriting Quadratic Expressions in Factored Form (Part 3)
Lesson 9: Solving Quadratic Equations by Using Factored Form
Lesson 10: Rewriting Quadratic Expressions in Factored Form (Part 4)
Lesson 11: What are Perfect Squares?
Lesson 12: Completing the Square (Part 1)
Lesson 13: Completing the Square (Part 2)
Lesson 14: Completing the Square (Part 3)
Lesson 15: Quadratic Equations with Irrational Solutions
Lesson 16: The Quadratic Formula
Lesson 17: Applying the Quadratic Formula (Part 1)
Lesson 18: Applying the Quadratic Formula (Part 2)
Lesson 19: Deriving the Quadratic Formula
Lesson 20: Rational and Irrational Solutions
Lesson 21: Sums and Products of Rational and Irrational Numbers
Lesson 22: Rewriting Quadratic Expressions in Vertex Form
Lesson 23: Using Quadratic Expressions in Vertex Form to Solve Problems
Lesson 24: Using Quadratic Equations to Model Situations and Solve Problems
Glossary
Attributions
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Notes
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