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Connected Math 2 Grade 7 Alignment to Math'scool and Algebra'scool.doc October 5, 2007 Page 1 of 2 Connected Math Project 2 - Grade 7 Alignment to Math’scool ® and Algebra’scool ® Connected Math Project 2 Filling And Wrapping: Three-Dimensional Measurement Investigation 1: Building Boxes 1.1 Making Cubic Boxes 1.2 Making Rectangular Boxes 1.3 Testing Nets: Rectangular Prisms 1.4 Flattening a Box: Surface Area of a Rectangular Prism 10.4, 10.5 10.4, 10.5 10.4, 10.5 13.4 Investigation 2: Designing Rectangular Boxes 2.1 Packaging Blocks: Finding Surface Area 2.2 Saving Trees: Finding the Least Surface Area 2.3 Filling Rectangular Boxes: Finding the Volume of a Rectangular Prism 13.4 -- 13.5 Investigation 3: Prisms and Cylinders 3.1 Filling Fancy Boxes: Finding the Volumes of Other Prisms 3.2 Filling Cylinders: Finding the Volumes of Cylinders 3.3 Making Cylinders and Prisms from Nets: Finding the Surface Area of Cylinders and Prisms 3.4 Making a New Juice Container: Comparing Volumes 13.5 13.5 13.4 -- Investigation 4: Cones, Spheres, and Pyramids 4.1 Comparing Spheres and Cylinders 4.2 Cones and Cylinders, Pyramids and Cubes 4.3 Melting Ice Cream: Comparing Volumes of Spheres, Cylinders, and Cones 10.4, 13.4 -- 13.5, 13.7 Investigation 5: Scaling Boxes 5.1 Building a Bigger Box: Doubling the Volume of a Rectangular Prism 5.2 Scaling Up the Compost Box: Applying Scale Factors to Rectangular Prisms 5.3 Building Model Ships: Similarity and Scale Factors -- 13.5? 9.4 * Stretching And Shrinking: Understanding Similarity Investigation 1: Enlarging and Reducing Shapes 1.1 Solving a Mystery: Introduction to Similarity 1.2 Stretching a Figure: Comparing Similar Figures 1.3 Scaling Up and Down: Corresponding Sides and Angles Investigation 2: Similar Figures 2.1 Drawing Wumps: Making Similar Figures 2.2 Hats Off to the Wumps: Changing a Figure’s Size and Location 2.3 Mouthing Off and Nosing Around: Scale Factors Investigation 3: Similar Polygons 3.1 Rep-Tile Quadrilaterals: Forming Rep-Tiles With Similar Quadrilaterals 3.2 Rep-Tile Triangles: Forming Rep-Tiles with Similar Triangles 3.3 Scale Factors and Similar Shapes Similar triangles: 8.6 Similar polygons: 9.4 Investigation 4: Similarity and Ratios 4.1 Ratios Within Similar Parallelograms 4.2 Ratios Within Similar Triangles 4.3 Finding Missing Parts: Using Similarity to Find Measurements Similar polygons: 9.4 Investigation 5: Using Similar Triangles and Rectangles 5.1 Using Shadows to Find Heights 5.2 Using Mirrors to Find Heights 5.3 On the Ground…But Still Out of Reach: Finding Lengths with Similar Triangles 8.6 * Comparing And Scaling: Ratio, Proportion, And Percent Investigation 1: Making Comparisons 1.1 Ads that Sell: Exploring Ratios and Rates 1.2 Targeting an Audience: Analyzing Comparison Statements 1.3 American Records: Writing Comparison Statements Rates, Ratios, Proportions: 7.4 *

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Page 1: Connected Math Project 2 – Grade 7 Math 2 Grade 7 Alignment to... · Connected Math Project 2 - Grade 7 Alignment to Math’scool® and Algebra’scool® Connected Math 2 Grade

Connected Math 2 Grade 7 Alignment to Math'scool and Algebra'scool.doc October 5, 2007 Page 1 of 2

Connected Math Project 2 - Grade 7 Alignment to Math’scool® and Algebra’scool®

Connected Math Project 2

Filling And Wrapping: Three-Dimensional Measurement Investigation 1: Building Boxes 1.1 Making Cubic Boxes 1.2 Making Rectangular Boxes 1.3 Testing Nets: Rectangular Prisms 1.4 Flattening a Box: Surface Area of a Rectangular Prism

10.4, 10.5 10.4, 10.5 10.4, 10.5

13.4 Investigation 2: Designing Rectangular Boxes 2.1 Packaging Blocks: Finding Surface Area 2.2 Saving Trees: Finding the Least Surface Area 2.3 Filling Rectangular Boxes: Finding the Volume of a Rectangular

Prism

13.4

-- 13.5

Investigation 3: Prisms and Cylinders 3.1 Filling Fancy Boxes: Finding the Volumes of Other Prisms 3.2 Filling Cylinders: Finding the Volumes of Cylinders 3.3 Making Cylinders and Prisms from Nets: Finding the Surface Area

of Cylinders and Prisms 3.4 Making a New Juice Container: Comparing Volumes

13.5 13.5 13.4

--

Investigation 4: Cones, Spheres, and Pyramids 4.1 Comparing Spheres and Cylinders 4.2 Cones and Cylinders, Pyramids and Cubes 4.3 Melting Ice Cream: Comparing Volumes of Spheres, Cylinders, and

Cones

10.4, 13.4

-- 13.5, 13.7

Investigation 5: Scaling Boxes 5.1 Building a Bigger Box: Doubling the Volume of a Rectangular

Prism 5.2 Scaling Up the Compost Box: Applying Scale Factors to

Rectangular Prisms 5.3 Building Model Ships: Similarity and Scale Factors

--

13.5?

9.4

*

Stretching And Shrinking: Understanding Similarity Investigation 1: Enlarging and Reducing Shapes

1.1 Solving a Mystery: Introduction to Similarity 1.2 Stretching a Figure: Comparing Similar Figures 1.3 Scaling Up and Down: Corresponding Sides and Angles

Investigation 2: Similar Figures 2.1 Drawing Wumps: Making Similar Figures 2.2 Hats Off to the Wumps: Changing a Figure’s Size and Location 2.3 Mouthing Off and Nosing Around: Scale Factors

Investigation 3: Similar Polygons 3.1 Rep-Tile Quadrilaterals: Forming Rep-Tiles With Similar

Quadrilaterals 3.2 Rep-Tile Triangles: Forming Rep-Tiles with Similar Triangles 3.3 Scale Factors and Similar Shapes

Similar triangles: 8.6 Similar polygons: 9.4

Investigation 4: Similarity and Ratios 4.1 Ratios Within Similar Parallelograms 4.2 Ratios Within Similar Triangles 4.3 Finding Missing Parts: Using Similarity to Find Measurements

Similar polygons: 9.4

Investigation 5: Using Similar Triangles and Rectangles 5.1 Using Shadows to Find Heights 5.2 Using Mirrors to Find Heights 5.3 On the Ground…But Still Out of Reach: Finding Lengths with

Similar Triangles

8.6

*

Comparing And Scaling: Ratio, Proportion, And Percent Investigation 1: Making Comparisons

1.1 Ads that Sell: Exploring Ratios and Rates 1.2 Targeting an Audience: Analyzing Comparison Statements 1.3 American Records: Writing Comparison Statements

Rates, Ratios, Proportions: 7.4 *

Page 2: Connected Math Project 2 – Grade 7 Math 2 Grade 7 Alignment to... · Connected Math Project 2 - Grade 7 Alignment to Math’scool® and Algebra’scool® Connected Math 2 Grade

Connected Math Project 2 - Grade 7 Alignment to Math’scool® and Algebra’scool®

Connected Math 2 Grade 7 Alignment to Math'scool and Algebra'scool.doc October 5, 2007 Page 2 of 2

Connected Math Project 2

Investigation 2: Comparing Ratios, Percents, and Fractions 2.1 Mixing Juice: Developing Comparison Strategies 2.2 Sharing Pizza: More Comparison Strategies 2.3 Finding Equivalent Ratios: Scaling Ratios

Comparing, converting and comparing forms: 4.2,

5.2, 7.3

Investigation 3: Comparing and Scaling Rates 3.1 Technology on Sale: Making and Using a Rate Table 3.2 Time, Rate, and Distance: Finding Rates 3.3 Comparing CD Prices: Unit Rates and Equations 3.4 What Does Dividing Tell You?: Two Different Rates

Rates: 7.4

Investigation 4: Making Sense of Proportions 4.1 Setting Up and Solving Proportions 4.2 Everyday Use of Proportions: Applications of Proportions 4.3 Developing Strategies for Solving Proportions

Proportions: 7.4 – 7.7

*

Variables And Patterns: Introducing Algebra Investigation 1: Variables, Tables, and Coordinate Graphs

1.1 Preparing for a Bicycle Tour: Interpreting Tables 1.2 Making Graphs 1.3 Day 1: Atlantic City to Lewes: Interpreting Graphs 1.4 Day 2: Lewes to Chincoteague Island: Reading Data from Graphs 1.5 Day 3: Chincoteague to Norfolk: Finding Average Speed

Functions Intro: 9.1, 9.2 Function Tables: 9.3 Function Graphs: 9.4

Investigation 2: Analyzing Graphs and Tables 2.1 Renting Bicycles: Analyzing a Table and a Graph 2.2 Finding Customers: Making and Analyzing a Graph 2.3 What’s The Story? Interpreting Graphs

Functions Intro: 9.1, 9.2 Function Tables: 9.3 Function Graphs: 9.4

Investigation 3: Rules and Equations 3.1 Writing Equations: Equations With One Operation 3.2 Writing More Equations: Equations With Two Operations 3.3 Paying Bills and Counting Profits: Equations for Revenue,

Expenses, and Profit

4.1

4.2 – 4.4 4.2

Investigation 4: Calculator Tables and Graphs 4.1 Making and Using Calculator Tables 4.2 Making and Using Calculator Graphs 4.3 Extending the Tour: Comparing Relationships

*

--

Accentuate The Negative: Integers And Rational Numbers Investigation 1: Extending the Number System

1.1 Playing Math Fever: Using Positive and Negative Numbers 1.2 From Sauna to Snowbank: Comparing and Ordering Positive and

Negative Numbers 1.3 What’s the Change?: Using a Number Line Model 1.4 In the Chips: Using a Chip Model

Intro to Integers: 3.1 Operations with Integers: 1.2

Investigation 2: Adding and Subtracting Integers 2.1 Introducing Addition of Integers 2.2 Introducing Subtraction of Integers 2.3 The “+/-“ Connection: Addition and Subtraction Relationships 2.4 Fact Families 2.5 Coordinate Graphing

3.2 3.3

1.3, 3.2, 3.3 --

10.1

1.2 1.2 1.2 --

7.1 Investigation 3: Multiplying and Dividing Integers

3.1 Introducing Multiplication of Integers 3.2 Multiplication Patterns 3.3 Introducing Division of Integers 3.4 Playing the Integer Product Game: Multiplying Integers

3.4 --

3.4 --

1.2 --

1.2 --

Investigation 4: Properties of Operations 4.1 Order of Operations 4.2 Distributing Operations 4.3 The Distributive Property and Subtraction

1.1 1.4 1.4

1.5 2.3 2.3

* This topic is addressed by BestQuest Teaching Systems’ Algebra’scool (or Math’scool) program. -- This topic is not directly addressed by either Algebra’scool or Math’scool for this grade level.