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Unit 1: Area and Surface Area |
Lesson 1: Tiling the Plane |
Lesson 2: Finding Area by Decomposing and Rearranging |
Lesson 3: Reasoning to Find Area |
Lesson 4: Parallelograms |
Lesson 5: Bases and Heights of Parallelograms |
Lesson 6: Area of Parallelograms |
Lesson 7: From Parallelograms to Triangles |
Lesson 8: Areas of Triangles |
Lesson 9: Formula for the Area of a Triangle |
Lesson 10: Bases and Heights of Triangles |
Lesson 11: Polygons |
Lesson 12: What is Surface Area? |
Lesson 13: Polyhedra |
Lesson 14: Nets and Surface Area |
Lesson 15: More Nets, More Surface Area |
Lesson 16: Distinguishing Between Surface Area and Volume (optional) |
Lesson 17: Squares and Cubes |
Lesson 18: Surface Area of a Cube |
Lesson 19: Designing a Tent |
Unit 2: Introducing Ratios |
Lesson 1: Introducing Ratios and Ratio Language |
Lesson 2: Representing Ratios with Diagrams |
Lesson 3: Recipes |
Lesson 4: Color Mixtures |
Lesson 5: Defining Equivalent Ratios |
Lesson 6: Introducing Double Number Line Diagrams |
Lesson 7: Creating Double Number Line Diagrams |
Lesson 8: How Much for One? |
Lesson 9: Constant Speed |
Lesson 10: Comparing Situations by Examining Ratios |
Lesson 11: Representing Ratios with Tables |
Lesson 12: Navigating a Table of Equivalent Ratios |
Lesson 13: Tables and Double Number Line Diagrams |
Lesson 14: Solving Equivalent Ratio Problems |
Lesson 15: Part-Part-Whole Ratios |
Lesson 16: Solving More Ratio Problems |
Lesson 17: A Fermi Problem |
Unit 3: Unit Rates and Percentages |
Lesson 1: The Burj Khalifa |
Lesson 2: Anchoring Units of Measurement (optional) |
Lesson 3: Measuring with Different-Sized Units |
Lesson 4: Converting Units |
Lesson 5: Comparing Speeds and Prices |
Lesson 6: Interpreting Rates |
Lesson 7: Equivalent Ratios Have the Same Unit Rates |
Lesson 8: More About Constant Speed |
Lesson 9: Solving Rate Problems |
Lesson 10: What Are Percentages? |
Lesson 11: Percentages and Double Number Lines |
Lesson 12: Percentages and Tape Diagrams |
Lesson 13: Benchmark Percentages |
Lesson 14: Solving Percentage Problems |
Lesson 15: Finding This Percent of That |
Lesson 16: Finding the Percentage |
Lesson 17: Painting a Room |
Unit 4: Dividing Fractions |
Lesson 1: Size of Divisor and Size of Quotient |
Lesson 2: Meanings of Division |
Lesson 3: Interpreting Division Situations |
Lesson 4: How Many Groups? (Part 1) |
Lesson 5: How Many Groups? (Part 2) |
Lesson 6: Using Diagrams to Find the Number of Groups |
Lesson 7: What Fraction of a Group? |
Lesson 8: How Much in Each Group? (Part 1) |
Lesson 9: How Much in Each Group (Part 2) |
Lesson 10: Dividing by Unit and Non-Unit Fractions |
Lesson 11: Using an Algorithm to Divide Fractions |
Lesson 12: Fractional Lengths |
Lesson 13: Rectangles with Fractional Side Lengths |
Lesson 14: Fractional Lengths in Triangles and Prisms |
Lesson 15: Volume of Prisms |
Lesson 16: Solving Problems Involving Fractions |
Lesson 17: Fitting Boxes into Boxes |
Unit 5: Arithmetic in Base Ten |
Lesson 1: Using Decimals in a Shopping Context |
Lesson 2: Using Diagrams to Represent Addition and Subtraction (optional) |
Lesson 3: Adding and Subtracting Decimals with Few Non-Zero Digits |
Lesson 4: Adding and Subtracting Decimals with Many Non-Zero Digits |
Lesson 5: Decimal Points in Products |
Lesson 6: Methods for Multiplying Decimals |
Lesson 7: Using Diagrams to Represent Multiplication |
Lesson 8: Calculating Products of Decimals |
Lesson 9: Using the Partial Quotients Method |
Lesson 10: Using Long Division |
Lesson 11: Dividing Numbers that Result in Decimals |
Lesson 12: Dividing Decimals by Whole Numbers |
Lesson 13: Dividing Decimals by Decimals |
Lesson 14: Using Operations on Decimals to Solve Problems |
Lesson 15: Making and Measuring Boxes |
Unit 6: Expressions and Equations |
Lesson 1: Tape Diagrams and Equations |
Lesson 2: Truth and Equations |
Lesson 3: Staying in Balance |
Lesson 4: Practice Solving Equations and Representing Situations with Equations |
Lesson 5: A New Way to Interpret a over b |
Lesson 6: Write Expressions Where Letters Stand for Numbers |
Lesson 7: Revisit Percentages |
Lesson 8: Equal and Equivalent |
Lesson 9: The Distributive Property, Part 1 |
Lesson 10: The Distributive Property, Part 2 |
Lesson 11: The Distributive Property, Part 3 |
Lesson 12: Meaning of Exponents |
Lesson 13: Expressions with Exponents |
Lesson 14: Evaluating Expressions with Exponents |
Lesson 15: Equivalent Exponential Expressions |
Lesson 16: Two Related Quantities, Part 1 |
Lesson 17: Two Related Quantities, Part 2 |
Lesson 18: More Relationships (optional) |
Lesson 19: Tables, Equations, and Graphs, Oh My! |
Unit 7: Rational Numbers |
Lesson 1: Positive and Negative Numbers |
Lesson 2: Points on the Number Line |
Lesson 3: Comparing Positive and Negative Numbers |
Lesson 4: Ordering Rational Numbers |
Lesson 5: Using Negative Numbers to Make Sense of Contexts |
Lesson 6: Absolute Value of Numbers |
Lesson 7: Comparing Numbers and Distance from Zero |
Lesson 8: Writing and Graphing Inequalities |
Lesson 9: Solutions of Inequalities |
Lesson 10: Interpreting Inequalities |
Lesson 11: Points on the Coordinate Plane |
Lesson 12: Constructing the Coordinate Plane |
Lesson 13: Interpreting Points on a Coordinate Plane |
Lesson 14: Distances on a Coordinate Plane |
Lesson 15: Shapes on the Coordinate Plane |
Lesson 16: Common Factors |
Lesson 17: Common Multiples |
Lesson 18: Using Common Multiples and Common Factors |
Lesson 19: Drawing on the Coordinate Plane |
Unit 8: Data Sets and Distributions |
Lesson 1: Got Data? |
Lesson 2: Statistical Questions |
Lesson 3: Representing Data Graphically |
Lesson 4: Dot Plots |
Lesson 5: Using Dot Plots to Answer Statistical Questions |
Lesson 6: Interpreting Histograms |
Lesson 7: Using Histograms to Answer Statistical Questions |
Lesson 8: Describing Distributions on Histograms |
Lesson 9: Mean |
Lesson 10: Finding and Interpreting the Mean as the Balance Point |
Lesson 11: Variability and MAD |
Lesson 12: Using Mean and MAD to Make Comparisons |
Lesson 13: Median |
Lesson 14: Comparing Mean and Median |
Lesson 15: Quartiles and Interquartile Range |
Lesson 16: Box Plots |
Lesson 17: Using Box Plots |
Lesson 18: Using Data to Solve Problems |