Contents
Lesson 1: Relationships between Quantities
1.1: Pricing Theater Popcorn
1.2: Entrance Fees
1.3: Making Toast
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Lesson 1 Summary
Lesson 1 Practice Problems
Lesson 2: Reasoning about Contexts with Tape Diagrams
2.1: Notice and Wonder: Remembering Tape Diagrams
2.2: Every Picture Tells a Story
2.3: Every Story Needs a Picture
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Lesson 2 Summary
Lesson 2 Practice Problems
Lesson 3: Reasoning about Equations with Tape Diagrams
3.1: Find Equivalent Expressions
3.2: Matching Equations to Tape Diagrams
3.3: Drawing Tape Diagrams to Represent Equations
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Lesson 3 Summary
Glossary
Lesson 3 Practice Problems
Lesson 4: Reasoning about Equations and Tape Diagrams (Part 1)
4.1: Algebra Talk: Seeing Structure
4.2: Situations and Diagrams
4.3: Situations, Diagrams, and Equations
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Lesson 4 Summary
Lesson 4 Practice Problems
Lesson 5: Reasoning about Equations and Tape Diagrams (Part 2)
5.1: Algebra Talk: Seeing Structure
5.2: More Situations and Diagrams
5.3: More Situations, Diagrams, and Equations
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Lesson 5 Summary
Lesson 5 Practice Problems
Lesson 6: Distinguishing between Two Types of Situations
6.1: Which One Doesn’t Belong: Seeing Structure
6.2: Card Sort: Categories of Equations
6.3: Even More Situations, Diagrams, and Equations
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Lesson 6 Summary
Lesson 6 Practice Problems
Lesson 7: Reasoning about Solving Equations (Part 1)
7.1: Hanger Diagrams
7.2: Hanger and Equation Matching
7.3: Use Hangers to Understand Equation Solving
Lesson 7 Summary
Lesson 7 Practice Problems
Lesson 8: Reasoning about Solving Equations (Part 2)
8.1: Equivalent to 2(x+3)
8.2: Either Or
8.3: Use Hangers to Understand Equation Solving, Again
Lesson 8 Summary
Lesson 8 Practice Problems
Lesson 9: Dealing with Negative Numbers
9.1: Which One Doesn’t Belong: Rational Number Arithmetic
9.2: Old and New Ways to Solve
9.3: Keeping It True
Lesson 9 Summary
Lesson 9 Practice Problems
Lesson 10: Different Options for Solving One Equation
10.1: Algebra Talk: Solve Each Equation
10.2: Analyzing Solution Methods
10.3: Solution Pathways
Lesson 10 Summary
Lesson 10 Practice Problems
Lesson 11: Using Equations to Solve Problems
11.1: Remember Tape Diagrams
11.2: At the Fair
11.3: Running Around
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Lesson 11 Summary
Lesson 11 Practice Problems
Lesson 12: Solving Problems about Percent Increase or Decrease
12.1: 20% Off
12.2: Walking More Each Day
12.3: A Sale on Shoes
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Lesson 12 Summary
Lesson 12 Practice Problems
Lesson 13: Using Equations to Solve for Unknown Angles
13.1: Is This Enough?
13.2: What Does It Look Like?
13.3: Calculate the Measure
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Lesson 13 Summary
Lesson 13 Practice Problems
Learning Targets
Lesson 1: Relationships between Quantities
Lesson 2: Reasoning about Contexts with Tape Diagrams
Lesson 3: Reasoning about Equations with Tape Diagrams
Lesson 4: Reasoning about Equations and Tape Diagrams (Part 1)
Lesson 5: Reasoning about Equations and Tape Diagrams (Part 2)
Lesson 6: Distinguishing between Two Types of Situations
Lesson 7: Reasoning about Solving Equations (Part 1)
Lesson 8: Reasoning about Solving Equations (Part 2)
Lesson 9: Dealing with Negative Numbers
Lesson 10: Different Options for Solving One Equation
Lesson 11: Using Equations to Solve Problems
Lesson 12: Solving Problems about Percent Increase or Decrease
Lesson 13: Using Equations to Solve for Unknown Angles
Lesson 1: Writing and Graphing Inequalities
1.1: Estimate Heights of People
1.2: Stories about 9
1.3: How High and How Low Can It Be?
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Lesson 1 Summary
Lesson 1 Practice Problems
Lesson 2: Solutions of Inequalities
2.1: Unknowns on a Number Line
2.2: Amusement Park Rides
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2.3: What Number Am I?
Lesson 2 Summary
Glossary
Lesson 2 Practice Problems
Lesson 3: Interpreting Inequalities
3.1: True or False: Fractions and Decimals
3.2: Basketball Game
3.3: Unbalanced Hangers
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Lesson 3 Summary
Lesson 3 Practice Problems
Lesson 4: Finding Solutions to Inequalities in Context
4.1: Solutions to Equations and Solutions to Inequalities
4.2: Earning Money for Soccer Stuff
4.3: Granola Bars and Savings
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Lesson 4 Summary
Lesson 4 Practice Problems
Lesson 5: Efficiently Solving Inequalities
5.1: Lots of Negatives
5.2: Inequalities with Tables
5.3: Which Side are the Solutions?
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Lesson 5 Summary
Lesson 5 Practice Problems
Lesson 6: Modeling with Inequalities
6.1: Possible Values
6.2: Elevator
6.3: Info Gap: Giving Advice
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Lesson 6 Summary
Lesson 6 Practice Problems
Lesson 7: Subtraction in Equivalent Expressions
7.1: Number Talk: Additive Inverses
7.2: A Helpful Observation
7.3: Organizing Work
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Lesson 7 Summary
Glossary
Lesson 7 Practice Problems
Lesson 8: Expanding and Factoring
8.1: Number Talk: Parentheses
8.2: Factoring and Expanding with Negative Numbers
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Lesson 8 Summary
Glossary
Lesson 8 Practice Problems
Lesson 9: Combining Like Terms (Part 1)
9.1: Why is it True?
9.2: A’s and B’s
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9.3: Making Sides Equal
Lesson 9 Summary
Lesson 9 Practice Problems
Lesson 10: Combining Like Terms (Part 2)
10.1: True or False?
10.2: Seeing it Differently
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10.3: Grouping Differently
Lesson 10 Summary
Lesson 10 Practice Problems
Lesson 11: Combining Like Terms (Part 3)
11.1: Are They Equal?
11.2: X’s and Y’s
11.3: Seeing Structure and Factoring
Lesson 11 Summary
Lesson 11 Practice Problems
Lesson 12: Balanced Moves
12.1: Matching Hangers
12.2: Matching Equation Moves
12.3: Keeping Equality
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Lesson 12 Summary
Lesson 12 Practice Problems
Lesson 13: More Balanced Moves
13.1: Different Equations?
13.2: Step by Step by Step by Step
13.3: Make Your Own Steps
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13.4: Trading Moves
Lesson 13 Summary
Lesson 13 Practice Problems
Lesson 14: Strategic Solving
14.1: Equal Perimeters
14.2: Predicting Solutions
14.3: Which Would You Rather Solve?
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Lesson 14 Summary
Lesson 14 Practice Problems
Lesson 15: All, Some, or No Solutions
15.1: Which One Doesn’t Belong: Equations
15.2: Thinking About Solutions
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15.3: What's the Equation?
Lesson 15 Summary
Lesson 15 Practice Problems
Lesson 16: How Many Solutions?
16.1: Matching Solutions
16.2: Thinking About Solutions Some More
16.3: Make Use of Structure
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Lesson 16 Summary
Glossary
Lesson 16 Practice Problems
Lesson 17: When Are They the Same?
17.1: Which Would You Choose?
17.2: Water Tanks
17.3: Elevators
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Lesson 17 Summary
Lesson 17 Practice Problems
Lesson 18: Applications of Expressions
18.1: Algebra Talk: Equivalent to 0.75t-21
18.2: Two Ways to Calculate
18.3: Which Way?
Learning Targets
Lesson 1: Writing and Graphing Inequalities
Lesson 2: Solutions of Inequalities
Lesson 3: Interpreting Inequalities
Lesson 4: Finding Solutions to Inequalities in Context
Lesson 5: Efficiently Solving Inequalities
Lesson 6: Modeling with Inequalities
Lesson 7: Subtraction in Equivalent Expressions
Lesson 8: Expanding and Factoring
Lesson 9: Combining Like Terms (Part 1)
Lesson 10: Combining Like Terms (Part 2)
Lesson 11: Combining Like Terms (Part 3)
Lesson 12: Balanced Moves
Lesson 13: More Balanced Moves
Lesson 14: Strategic Solving
Lesson 15: All, Some, or No Solutions
Lesson 16: How Many Solutions?
Lesson 17: When Are They the Same?
Lesson 18: Applications of Expressions
Glossary
Attributions
Notes
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