IMPACT Mathematics Course 1 - 3 is designed for grades 6 - 8 with the goal of completing Algebra 1 content by the end of the 8th grade covering Pre-Algebra and Algebra 1 over 3 years. This program has been extensively field tested and has proven to be highly successful in a large urban district with an increase in assessment scores for all students in all three grade levels. IMPACT Mathematics makes the big ideas of mathematics accessible to middle school students through an emphasis on investigation, problem solving, mathematical understanding, and algebra skills. The goal of IMPACT Mathematics remains to help students develop a deep understanding of mathematics with an emphasis on algebra.

Features: - Investigative Instruction - Hands-on exploration of real-world applications that allow student discovery of mathematics concepts while they make connections between different mathematical ideas. - Performance-Based Assessment - Evaluation based on what students know, understand, and show they can do. - Communication Skills - Curriculum that includes discussion and reflection as an integral piece of every step of instruction.

CONTENTS

CHAPTER 1: Understanding Expressions Lesson 1.1: Variables and Expressions Lesson 1.2: Expressions and Formulas Lesson 1.3: The Distributive Property

CHAPTER 2: Geometry in Three Dimensions Lesson 2.1: Block Patterns Lesson 2.2: Visualizing and Measuring Block Structures Lesson 2.3: Surface Area and Volume Lesson 2.4: Nets and Solids

CHAPTER 3: Exploring Exponents Lesson 3.1: Stretching and Shrinking Machines Lesson 3.2: Shrinking and Super Machines Lesson 3.3: Growing Exponentially Lesson 3.4: Describing Large Numbers

CHAPTER 4: Working with Signed Numbers Lesson 4.1: Adding and Subtracting with Negative Numbers Lesson 4.2: Multiplying and Dividing with Negative Numbers Lesson 4.3: Plotting Points in Four Quadrants Lesson 4.4: Finding Distances Lesson 4.5: Negative Numbers as Exponents

CHAPTER 5: Looking at Linear Relationships Lesson 5.1: Understanding and Describing Rates Lesson 5.2: Speed and the Slope Connection Lesson 5.3: Recognizing Linear Relationships Lesson 5.4: Tricks of the Trade

CHAPTER 6: Solving Equations Lesson 6.1: Two Solution Methods Revisited Lesson 6.2: A Model for Solving Equations Lesson 6.3: Thinking with Symbols Lesson 6.4: Simplifying Equations Lesson 6.5: Using Expressions

CHAPTER 7: Similarity Lesson 7.1: Are They the Same? Lesson 7.2: Polygon Similarity and Congruence Lesson 7.3: Area and Perimeter of Similar Figures Lesson 7.4: Volume and Surface Area of Similar Figures

CHAPTER 8: Ratio and Proportion Lesson 8.1: Comparing with Ratios and Rates Lesson 8.2: Using Proportions Lesson 8.3: Percentages and Proportions Lesson 8.4: Interpreting and Applying Proportions

CHAPTER 9: Interpreting Graphs Lesson 9.1: Graphing Change over Time Lesson 9.2: Graphs and Equations Lesson 9.3: Repeating Relationships

CHAPTER 10: Data and Probability Lesson 10.1: Dependence Lesson 10.2: Applying Probability Lesson 10.3: Sampling and Making Predictions Lesson 10.4: Statistical Tools and Graphs

Glossary Index Photo Credits

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