Connected Mathematics Project 3
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1 An Alignment of Grade 8, 2015 to the Connected Mathematics Project 3 Grade 8, 2014
2 Table of Contents Unit A: The Number System... 1 Unit B: Expressions and Equations, Part Unit C: Expressions and Equations, Part Unit D: Functions... 5 Unit E: Geometry... 7 Unit F: Statistics... 10
3 Unit A: The Number System Topic 1: Rational and Irrational Numbers Readiness 8-1: Skyscrapers Lesson 1-1: Expressing Rational Numbers with Decimal Expansions Looking for Pythagoras: 4.2: Representing Fractions and Decimals Lesson 1-2: Exploring Irrational Numbers Looking for Pythagoras: 4.1: Analyzing the Wheel of Theodorus; 4.4: Getting Real Lesson 1-3: Approximating Irrational Numbers Looking for Pythagoras: 4.1: Analyzing the Wheel of Theodorus; 4.4: Getting Real; 5.1: Stopping Sneaky Sally Lesson 1-4: Comparing and Ordering Rational and Irrational Numbers Looking for Pythagoras: 4.1: Analyzing the Wheel of Theodorus; 4.2: Representing Fractions and Decimals;4.4: Getting Real; 5.1: Stopping Sneaky Sally Lesson 1-5: Problem Solving Looking for Pythagoras: 4.1: Analyzing the Wheel of Theodorus; 4.4: Getting Real; 5.1: Stopping Sneaky Sally Unit B: Expressions and Equations, Part 1 Topic 2: Linear Equations in One Variable Readiness 8-2: Auto Racing Lesson 2-1: Solving Two-Step Equations Thinking with Mathematical Models 2.4: Boat Rental Business; 2.5: Amusement Park or Say It With Symbols: 3.1: Selling Greeting Cards; 3.2: Comparing Costs; 5.1: Using Algebra to Solve a Puzzle Lesson 2-2: Solving Equations with Variables on Both Sides Lesson 2-3: Solving Equations Using the Distributive Property Say It With Symbols: 3.1: Selling Greeting Cards; 3.2: Comparing Costs Thinking with Mathematical Models 2.4: Boat Rental Business Say It With Symbols: 3.1: Selling Greeting Cards; 3.2: Comparing Costs; 5.1: Using Algebra to Solve a Puzzle 1
4 Lesson 2-5: Solutions One, None, or Infinitely Many Thinking with Mathematical Models 2.4: Boat Rental Business Say It With Symbols: 3.1: Selling Greeting Cards; 3.2: Comparing Costs; 5.1: Using Algebra to Solve a Puzzle Lesson 2-6: Problem Solving Thinking with Mathematical Models: 2.4: Boat Rental Business Say It With Symbols: 3.1: Selling Greeting Cards; 3.2: Comparing Costs; 5.1: Using Algebra to Solve a Puzzle Topic 3: Integer Exponents Readiness 8-3: Ocean Waves Lesson 3-1: Perfect Squares, Square Roots, and Equations of the form x2 = p Looking for Pythagoras: 2.1: Looking for Squares; 2.2: Square Roots; 2.3: Using Squares to Find Lengths Lesson 3-2: Perfect Cubes, Cube Roots, and Equations of the form x3 = p Looking for Pythagoras: 2.4: Cube Roots Lesson 3-3: Exploring and Multiplication and Multiplication (s/b Exponents?) Lesson 3-4: Exponents and Division Growing, Growing, Growing: 5.2: Rules of Exponents Growing, Growing, Growing: 5.2: Rules of Exponents Lesson 3-5: Zero and Negative Exponents Lesson 3-6: Comparing Numerical Expressions with Exponents Lesson 3-7: Problem Solving Growing, Growing, Growing: 5.2: Rules of Exponents Growing, Growing, Growing: 5.1: Looking for Patterns Among Exponents; 5.2: Rules of Exponents Looking for Pythagoras: 2.1: Looking for Squares; 2.2: Square Roots; 2.3: Using Squares to Find Lengths Growing, Growing, Growing: 5.1: Looking for Patterns Among Exponents; 5.2: Rules of Exponents 2
5 Topic 4: Scientific Notation Readiness 8-4: The Mathematics of Sound Lesson 4-1: Standard Form vs. Scientific Notation Growing, Growing, Growing: 5.4: Operations With Scientific Notation Lesson 4-2: Using Scientific Notation to Describe Very Large Quantities Growing, Growing, Growing: 5.4: Operations With Scientific Notation Lesson 4-3: Using Scientific Notation to Describe Very Small Quantities Growing, Growing, Growing: 5.4: Operations With Scientific Notation Lesson 4-4: Operating with Numbers Expressed in Scientific Notation Growing, Growing, Growing: 5.4: Operations With Scientific Notation Lesson 4-5: Problem Solving Growing, Growing, Growing: 5.4: Operations With Scientific Notation Unit C: Expressions and Equations, Part 2 Topic 5: Proportional Relationships, Lines, and Linear Equations Readiness 8-5: Owning a Pet Lesson 5-1: Graphing Proportional Relationships Thinking With Mathematical Models: 2.2: Up and Down the Staircase; 3.2: Distance, Speed, and Time Lesson 5-2: Linear Equations: y = mx Thinking With Mathematical Models: 2.1: Down the Staircase Lesson 5-3: The Slope of a Line Thinking with Mathematical Models: 2.2: Up and Down the Staircase Lesson 5-4: Unit Rates Thinking With Mathematical Models: 2.2: Up and Down the Staircase; 3.2: Distance, Speed, and Time Lesson 5-5: The y-intercept of a Line Thinking With Mathematical Models: 2.2: Up and Down the Staircase 3
6 Lesson 5-6: Linear Equations: y = mx + b Thinking With Mathematical Models: 2.1: Lesson 5-7: Problem Solving Thinking With Mathematical Models: 2.1: Topic 6: Systems of Two Linear Equations Readiness 8-6: Owning a Pet Lesson 6-1: What is a System of Linear Equations in Two Variables? It s In The System: 1.1: Shirts and Caps; 1.2: Connecting Ax + By + C and y = mx + b; 1.3: Booster Club Members; 2.1: Shirt and Caps Again; 2.2: Taco Truck Lunch; 2.3: Solving Systems by Combining Equations II Lesson 6-2: Estimating Solutions of Linear Systems by Inspection It s In The System: 1.1: Shirts and Caps; 1.2: Connecting Ax + By + C and y = mx + b; 1.3: Booster Club Members; 2.1: Shirt and Caps Again; 2.2: Taco Truck Lunch; 2.3: Solving Systems by Combining Equations II Lesson 6-3: Solving Systems of Linear Equations by Graphing It s In The System: 1.1: Shirts and Caps; 1.2: Connecting Ax + By + C and y = mx + b; 1.3: Booster Club Members; 2.1: Shirt and Caps Again; 2.2: Taco Truck Lunch; 2.3: Solving Systems by Combining Equations II Lesson 6-4: Solving Systems of Linear Equations Using Substitution It s In The System: 2.1: Shirt and Caps Again Lesson 6-5: Solving Systems of Linear Equations Using Addition It s In The System: 1.1: Shirts and Caps; 1.2: Connecting Ax + By + C and y = mx + b; 1.3: Booster Club Members; 2.1: Shirt and Caps Again; 2.2: Taco Truck Lunch; 2.3: Solving Systems by Combining Equations II 4
7 Lesson 6-6: Solving Systems of Linear Equations Using Subtraction It s In The System: 1.1: Shirts and Caps; 1.2: Connecting Ax + By + C and y = mx + b; 1.3: Booster Club Members; 2.1: Shirt and Caps Again; 2.2: Taco Truck Lunch; 2.3: Solving Systems by Combining Equations II Lesson 6-7: Problem Solving It s In The System: 1.1: Shirts and Caps; 1.2: Connecting Ax + By + C and y = mx + b; 1.3: Booster Club Members; 2.1: Shirt and Caps Again; 2.2: Taco Truck Lunch; 2.3: Solving Systems by Combining Equations II Unit D: Functions Topic 7: Defining and Comparing Functions Readiness 8-7: Skydiving Lesson 7-1: What is a Function? Thinking with Mathematical Models: 2.1: Lesson 7-2: Representing a Function Thinking with Mathematical Models: 2.1: Lesson 7-3: Linear Functions Thinking with Mathematical Models: 2.1: Lesson 7-4: Non-linear Functions Growing, Growing, Growing: 1.1: Making Ballots; Introducing Exponential Functions; 1.2: Requesting a Reward; 1.3: Making a New Offer; 2.1: Killer Plant Strikes Lake Victoria; 2.2: Growing Mold; 2.3: Studying Snake Populations Lesson 7-5: Increasing and Decreasing Intervals Growing, Growing, Growing: 3.1: Reproducing Rabbits; 3.2: Investing for the Future; 3.3: Making a Difference 5
8 Lesson 7-6: Sketching a Function Graph Thinking with Mathematical Models: 2.1: ; 3.2: Distance, Speed, and Time; 3.3: Planning a Field Trip; 3.4: Modeling Data Patterns; Growing, Growing, Growing: 1.1: Making Ballots; Introducing Exponential Functions; 1.2: Requesting a Reward; 1.3: Making a New Offer; 2.1: Killer Plant Strikes Lake Victoria; 2.3: Studying Snake Populations; 3.3: Making a Difference; 4.1: Making Smaller Ballots; 4.2: Fighting Fleas; 4.3: Cooling Water; 5.5: Revisiting Exponential Functions Lesson 7-7: Problem Solving Thinking with Mathematical Models: 2.1: ; 3.2: Distance, Speed, and Time; 3.3: Planning a Field Trip; 3.4: Modeling Data Patterns; Growing, Growing, Growing: 1.1: Making Ballots; Introducing Exponential Functions; 1.2: Requesting a Reward; 1.3: Making a New Offer; 2.1: Killer Plant Strikes Lake Victoria; 2.3: Studying Snake Populations; 3.3: Making a Difference; 4.1: Making Smaller Ballots; 4.2: Fighting Fleas; 4.3: Cooling Water; 5.5: Revisiting Exponential Functions Topic 8: Linear Functions Readiness 8-8: Snowboarding Competitions Lesson 8-1: Defining a Linear Function Rule Thinking with Mathematical Models: 1.3: Custom Construction Parts; 2.1: Modeling Linear Data Patterns;2.2: Up and Down the Staircase; 2.3: Tree Top Fun; 2.4: Boat Rental Business; 2.5: Amusement Park or Lesson 8-2: Rate of Change Thinking with Mathematical Models: 1.3: Custom Construction Parts; 2.1: Modeling Linear Data Patterns; 2.2: Up and Down the Staircase; 2.3: Tree Top Fun; 2.4: Boat Rental Business; 2.5: Amusement Park or 6
9 Lesson 8-3: Initial Value Thinking with Mathematical Models: 2.1: Lesson 8-4: Comparing Two Linear Functions Thinking with Mathematical Models: 2.5: Amusement Park or Say It With Symbols: 3.2: Comparing Costs Lesson 8-5: Constructing a Function to Model a Linear Relationship Thinking with Mathematical Models: 2.1: Lesson 8-6 Problem Solving Thinking with Mathematical Models: 2.1: Say It With Symbols: 3.2: Comparing Costs Unit E: Geometry Topic 9: Congruence Readiness 8-9: Computer-Aided Design Lesson 9-1: Translations Butterflies, Pinwheels, and Wallpaper: 1.3: Sliding Around; 3.2: Sliding on a Grid; 3.4: A Special Property of Translations and Half-Turns Lesson 9-2: Reflections Butterflies, Pinwheels, and Wallpaper: 1.1: Butterfly Symmetry; 3.1: Flipping on a Grid Lesson 9-3: Rotations Butterflies, Pinwheels, and Wallpaper: 1.2: In a Spin; 3.3: Spinning on a Grid Lesson 9-4: Congruent Figures Butterflies, Pinwheels, and Wallpaper: 2.1: Connecting Congruent Polygons; 2.2: Supporting the World; 2.3: Minimum Measurement 7
10 Lesson 9-5: Problem Solving Butterflies, Pinwheels, and Wallpaper: 1.1: Butterfly Symmetry; 1.2: In a Spin; 1.3: Sliding Around; 2.1: Connecting Congruent Polygons; 2.2: Supporting the World; 2.3: Minimum Measurement; 3.1: Flipping on a Grid; 3.2: Sliding on a Grid; 3.3: Spinning on a Grid; 3.4: A Special Property of Translations and Half-Turns Topic 10: Similarity Readiness 8-10: Piloting an Airplane Lesson 10-1: Dilations Butterflies, Pinwheels, and Wallpaper: 4.1: Focus on Dilations Lesson 10-2: Similar Figures Butterflies, Pinwheels, and Wallpaper: 4.2: Return of Super Sleuth; 4.3: Checking Similarity Without Transformations; 4.4: Using Similar Triangles Lesson 10-3: Relating Similar Triangles and Slope Butterflies, Pinwheels, and Wallpaper: 4.2: Return of Super Sleuth; 4.3: Checking Similarity Without Transformations; 4.4: Using Similar Triangles Lesson 10-4: Problem Solving Butterflies, Pinwheels, and Wallpaper: 4.1: Focus on Dilations; 4.2: Return of Super Sleuth; 4.3: Checking Similarity Without Transformations; 4.4: Using Similar Triangles Topic 11: Understanding Geometric Properties Involving Angles Readiness 8-11: Photography Lesson 11-1: Angles Formed by Parallel Lines Cut by a Transversal Butterflies, Pinwheels, and Wallpaper: 3.5: Parallel Lines, Transversals, and Angle Sums Lesson 11-2: Proving Lines Parallel Butterflies, Pinwheels, and Wallpaper: 3.5: Parallel Lines, Transversals, and Angle Sums Lesson 11-3: Triangle Angle-Sum Looking for Pythagoras: 5.2: Analyzing Triangles; Butterflies, Pinwheels, and Wallpaper: 3.5: Parallel Lines, Transversals, and Angle Sums; 4.3: Checking Similarity Without Transformations; 4.4: Using Similar Triangles 8
11 Lesson 11-4: Exterior Angle of a Triangle Looking for Pythagoras: 5.2: Analyzing Triangles; Butterflies, Pinwheels, and Wallpaper: 3.5: Parallel Lines, Transversals, and Angle Sums; 4.3: Checking Similarity Without Transformations; 4.4: Using Similar Triangles Lesson 11-5: Angle-Angle Triangle Similarity Looking for Pythagoras: 5.2: Analyzing Triangles; Butterflies, Pinwheels, and Wallpaper: 3.5: Parallel Lines, Transversals, and Angle Sums; 4.3: Checking Similarity Without Transformations; 4.4: Using Similar Triangles Lesson 11-6: Problem Solving Looking for Pythagoras: 5.2: Analyzing Triangles; Butterflies, Pinwheels, and Wallpaper: 3.5: Parallel Lines, Transversals, and Angle Sums; 4.3: Checking Similarity Without Transformations; 4.4: Using Similar Triangles Topic 12: Pythagorean Theorem Readiness 8-12: Designing a Billboard Lesson 12-1: What is a Mathematical Proof? Lesson 12-2: The Pythagorean Theorem Lesson 12-3: The Converse of the Pythagorean Theorem Lesson 12-4: Finding the Unknown Leg of a Right Triangle Lesson 12-5: Finding the Distance Between Two Points in the Coordinate System Lesson 12-6: Problem Solving Looking for Pythagoras: 3.2: A Proof of the Pythagorean Theorem Looking for Pythagoras: 3.1: Discovering the Pythagorean Theorem; 3.2: A Proof of the Pythagorean Theorem For related content, please see: Looking for Pythagoras: 3.1: Discovering the Pythagorean Theorem; 3.2: A Proof of the Pythagorean Theorem(See Mathematics Background) Looking for Pythagoras: 3.1: Discovering the Pythagorean Theorem;3.2: A Proof of the Pythagorean Theorem Looking for Pythagoras: 3.3: Finding Distances Looking for Pythagoras: 3.1: Discovering the Pythagorean Theorem; 3.2: A Proof of the Pythagorean Theorem; 3.3: Finding Distances 9
12 Topic 13: Surface Area and Volume Readiness 8-13: Sand Sculptures Lesson 13-1: Surface Areas of Cylinders For related content, please see: Say It With Symbols: 2.3: Making Candles Lesson 13-2: Volumes of Cylinders Say It With Symbols: 2.3: Making Candles Lesson 13-3: Surface Areas of Cones For related content, please see: Say It With Symbols: 2.3: Making Candles Lesson 13-4: Volumes of Cones Say It With Symbols: 2.3: Making Candles Lesson 13-5: Surface Areas of Spheres For related content, please see: Say It With Symbols: 2.3: Making Candles Lesson 13-6: Volumes of Spheres Say It With Symbols: 2.3: Making Candles Lesson 13-7: Problem Solving Say It With Symbols: 2.3: Making Candles Unit F: Statistics Topic 14: Scatter Plots Readiness 8-14: Download Speeds Lesson 14-1: Interpreting a Scatter Plot Thinking with Mathematical Models?: 1.3: Custom Construction Parts; 2.1: Modeling Linear Data Patterns; 3.4: Modeling Data Patterns; 4.1: Vitruvian Man; 4.2: Older and Faster; 4.3: Correlation Coefficients and Outliers Lesson 14-2: Constructing a Scatter Plot Thinking with Mathematical Models?: 1.3: Custom Construction Parts; 2.1: Modeling Linear Data Patterns; 3.4: Modeling Data Patterns; 4.1: Vitruvian Man; 4.2: Older and Faster; 4.3: Correlation Coefficients and Outliers Lesson 14-3: Investigating Patterns - Clustering and Outliers Thinking with Mathematical Models?: 4.3: Correlation Coefficients and Outliers 10
13 Lesson 14-4: Investigating Patterns - Association Thinking with Mathematical Models?: 3.4: Modeling Data Patterns; 4.1: Vitruvian Man; 4.2: Older and Faster; 4.3: Correlation Coefficients and Outliers Lesson 14-5: Linear Models - Fitting a Straight Line Thinking with Mathematical Models?: 3.4: Modeling Data Patterns; 4.1: Vitruvian Man; 4.2: Older and Faster; 4.3: Correlation Coefficients and Outliers Lesson 14-6: Linear Models - Using the Equation of a Linear Model to Solve Problems Thinking with Mathematical Models?: 3.4: Modeling Data Patterns; 4.1: Vitruvian Man; 4.2: Older and Faster; 4.3: Correlation Coefficients and Outliers Lesson 14-7: Problem Solving Thinking with Mathematical Models?: 1.3: Custom Construction Parts; 2.1: Modeling Linear Data Patterns; 3.4: Modeling Data Patterns; 4.1: Vitruvian Man; 4.2: Older and Faster; 4.3: Correlation Coefficients and Outliers Topic 15: Relative Frequency Readiness 8-15: Road Trip! Lesson 15-1: Bivariate Categorical Data Thinking with Mathematical Models?: 5.1: Wood or Steel? That s the Question; 5.2: Politics of Girls and Boys; 5.3: After-School Jobs and Homework Lesson 15-2: Constructing Two-Way Frequency Tables Thinking with Mathematical Models?: 5.1: Wood or Steel? That s the Question; 5.2: Politics of Girls and Boys; 5.3: After-School Jobs and Homework Lesson 15-3: Interpreting Two-Way Frequency Tables Thinking with Mathematical Models?: 5.1: Wood or Steel? That s the Question; 5.2: Politics of Girls and Boys; 5.3: After-School Jobs and Homework 11
14 Lesson 15-4: Constructing Two-Way Relative Frequency Tables Thinking with Mathematical Models?: 5.1: Wood or Steel? That s the Question; 5.2: Politics of Girls and Boys; 5.3: After-School Jobs and Homework Lesson 15-5: Interpreting Two-Way Relative Frequency Tables Thinking with Mathematical Models?: 5.1: Wood or Steel? That s the Question; 5.2: Politics of Girls and Boys; 5.3: After-School Jobs and Homework Lesson 15-6: Choosing a Measure of Frequency Thinking with Mathematical Models?: 5.1: Wood or Steel? That s the Question; 5.2: Politics of Girls and Boys; 5.3: After-School Jobs and Homework Lesson 15-7: Problem Solving Thinking with Mathematical Models?: 5.1: Wood or Steel? That s the Question; 5.2: Politics of Girls and Boys; 5.3: After-School Jobs and Homework 12
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