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Rates, Ratios, and Proportions1 UNIT
6 Unit Pricing. . . . . . . . . . . . . . . . . . . . . . . . . . .
41 ACTIVITIES Share and Discuss Homework • Unit Price Tables and
Graphs • Discuss Patterns in Rate Tables, Equations, and
Graphs
7 Constant Speed . . . . . . . . . . . . . . . . . . . . . . . 53
ACTIVITIES Share and Discuss Homework • Constant Speed
Situations
Quick Quiz 2 Formative Assessment
for Lessons 6, 7
Special Rate Situations and Graphing Common Core Standards
CC.6.RP.2, CC.6.RP.3, CC.6.RP.3a, CC.6.RP.3b, CC.6.EE.6,
CC.6.EE.9
1 Factor Puzzles and the Multiplication Table . . . . . . . . . . .
. . . . . . . . . 1 ACTIVITIES Rows and Columns in the
Multiplication Table • Solving Factor Puzzles
FAMILY LETTER
2 Solving Factor Puzzles . . . . . . . . . . . . . . . . . 11
ACTIVITIES Introduce Unit 1 Quick Practice • Solving and Making
Factor Puzzles
3 Rate Situations and Rate Tables. . . . . . . . . . 19 ACTIVITIES
Share and Discuss Homework • Noreen’s Story • Record in a Rate
Table
4 Rate Situations and Unit Rate Language . . 29 ACTIVITIES Share
and Discuss Homework • Rates and Multiplication
5 Unit Rates, Products, and Rate Tables . . . . . 35 ACTIVITIES
Share and Discuss Homework • Discuss Rate Situations
Quick Quiz 1 Formative Assessment
for Lessons 1, 2, 3, 4, 5
Multiplication and Rates Common Core Standards CC.6.RP.2,
CC.6.RP.3, CC.6.RP.3a, CC.6.RP.3b
Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . 1A
Volume 1 Contents
Volume 1 Contents (continued)
REAL WORLD PROBLEM SOLVING
REAL WORLD PROBLEM SOLVING
UNIT 1 Review and Test . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . 117
12 Solve Numeric Proportion Problems. . . . . . 93 ACTIVITIES Share
and Discuss Homework • Numeric Proportions and Proportion
Problems
13 Basic Ratio Solution Strategies . . . . . . . . . 101 ACTIVITIES
Share and Discuss Homework • Basic Ratio Strategies
14 Write and Solve Proportion Problems . . . 107 ACTIVITIES Share
and Discuss Homework • Solve Student Proportion Problems
Quick Quiz 4 Formative Assessment
for Lessons 12, 13, 14
15 Focus on Mathematical Practices . . . . . . . 111 ACTIVITIES
Math and Hobbies • Use Reasoning • Establish a Position
Identify, Solve, and Write Proportion Situations Common Core
Standards CC.6.RP.1, CC.6.RP.2, CC.6.RP.3, CC.6.RP.3a,
CC.6.NS.4
8 Ratio as Linked Rates . . . . . . . . . . . . . . . . . . 61
ACTIVITIES Share and Discuss Homework • Ratios as Linked
Rates
9 Finding Linked Values in Ratio Tables . . . . 67 ACTIVITIES Share
and Discuss Homework • Finding Linked Values in a Ratio Table
10 Seeing Proportions in Ratio Tables . . . . . . 75 ACTIVITIES
Share and Discuss Homework • Proportions Within a Ratio Table
11 Identify and Solve Proportion Situations . . . . . . . . . . . .
. . . . . . 83 ACTIVITIES Share and Discuss Homework • Is It a
Proportion Situation? • New Quick Practice Routine
Quick Quiz 3 Formative Assessment
for Lessons 8, 9, 10, 11
Solve Problems with Ratio and Proportion Common Core Standards
CC.6.RP.1, CC.6.RP.2, CC.6.RP.3, CC.6.RP.3a
xxxii | Volume 1 Contents
UNIT
REAL WORLD PROBLEM SOLVING
Derive Area Formulas and Solve Problems: Trapezoids and Other
Polygons Common Core Standards CC.6.G.1, CC.6.G.3, CC.6.EE.2,
CC.6.EE.2c, CC.6.EE.3, CC.6.EE.6
Derive Area Formulas and Solve Problems: Parallelograms and
Triangles Common Core Standards CC.6.G.1, CC.6.EE.2,
CC.6.EE.2c
Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . 123A
Area of Polygons2
1 Units of Area . . . . . . . . . . . . . . . . . . . . . . . . 123
ACTIVITIES Visualize Perimeter and Area • Identify and Correct
Errors • Real World Problems
FAMILY LETTER
2 Area of Any Right Triangle . . . . . . . . . . . . 131 ACTIVITIES
Share and Discuss Homework • Explore Right Triangles • Real World
Problems
3 Area of Any Parallelogram . . . . . . . . . . . . . 139
ACTIVITIES Share and Discuss Homework • Area of a Parallelogram •
Area of a Rhombus • Solve Problems
4 Area of Any Triangle . . . . . . . . . . . . . . . . . . 149
ACTIVITIES Share and Discuss Homework • Compose Parallelograms with
Triangles • Triangles and Parallelograms • Area of Triangles
5 Select the Needed Measurements . . . . . . . 157 ACTIVITIES Share
and Discuss Homework • Appropriate Measurements • Choosing a Base •
Which Measurements?
Quick Quiz 1 Formative Assessment
for Lessons 1, 2, 3, 4, 5
6 Area of Any Trapezoid . . . . . . . . . . . . . . . . 165
ACTIVITIES Share and Discuss Homework • Decompose and Compose with
Trapezoids • Equivalent Formulas • Areas of Trapezoids
7 Area of a Complex Figure . . . . . . . . . . . . . . 173
ACTIVITIES Share and Discuss Homework • Area and Perimeter of
Complex Figures
8 Area of Any Regular Polygon . . . . . . . . . . 181 ACTIVITIES
Share and Discuss Homework • Area of Regular Polygons • Generalize
a Formula
9 Graph Polygons in the Coordinate Plane. . . . . . . . . . . . . .
. . . . . . . 187 ACTIVITIES Share and Discuss Homework • Graph
Polygons • Find Side Lengths • Solve Real World Problems
Quick Quiz 2 Formative Assessment
for Lessons 6, 7, 8, 9
10 Focus on Mathematical Practices . . . . . . . 197 ACTIVITIES
Math and Tiling • Look for a Pattern • Establish a Position
UNIT 2 Review and Test . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . 203
REAL WORLD PROBLEM SOLVING
Volume 1 Contents | xxxiii
Volume 1 Contents (continued)
REAL WORLD PROBLEM SOLVING
6 Comparing, Adding, and Subtracting with the Same Unit . . . . . .
. . 257 ACTIVITIES Share and Discuss Homework • Visualize Fractions
and Decimals • Adding and Subtracting
7 Equivalent Fractions or Decimals . . . . . . . 267 ACTIVITIES
Share and Discuss Homework • Equivalent Fractions
8 Finding a Common Unit Fraction . . . . . . . . 275 ACTIVITIES
Share and Discuss Homework • Equivalent Fractions
9 Mixed Problem Solving . . . . . . . . . . . . . . . . 281
ACTIVITIES Share and Discuss Homework • Mixed Practice
Quick Quiz 2 Formative Assessment
for Lessons 6, 7, 8, 9
Relating, Composing, and Decomposing Decimals and Fractions Common
Core Standards CC.6.NS.3, CC.6.NS.4
1 Place Value and Whole Number Division . . . . . . . . . . . . . .
. . . . . . . 209 ACTIVITIES Place Value Meanings • Understand
Multidigit Division
FAMILY LETTER
2 Estimated Multipliers in Division . . . . . . . 221 ACTIVITIES
Share and Discuss Homework • Estimate the Multiplier • Learning the
Quick Practice
3 Multiplying by a Decimal . . . . . . . . . . . . . . 229
ACTIVITIES Share and Discuss Homework • Multiply by Decimals
4 Decimal Divisors. . . . . . . . . . . . . . . . . . . . . . 239
ACTIVITIES Share and Discuss Homework • Dividing by Decimals
5 Multiplication or Division . . . . . . . . . . . . . . 249
ACTIVITIES Share and Discuss Homework • Review Decimal
Multiplication and Division
Quick Quiz 1 Formative Assessment
for Lessons 1, 2, 3, 4, 5
Multiplication and Division of Whole Numbers and Decimals Common
Core Standards CC.6.NS.2, CC.6.NS.3
Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . 209A
6_MNLAETE567556_FMTOC.indd 34 6/10/11 8:17:41 PM
Multiplying Fractions and Dividing with Fractions and Whole Numbers
Common Core Standards CC.6.NS.1, CC.6.NS.3, CC.6.NS.4
Dividing a Fraction by a Fraction Common Core Standards CC.6.NS.1,
CC.6.NS.3
REAL WORLD PROBLEM SOLVING
REAL WORLD PROBLEM SOLVING
12 Is It Multiplying or Dividing?. . . . . . . . . . . 309
ACTIVITIES Share and Discuss Homework • Mixed Practice
Quick Quiz 3 Formative Assessment
for Lessons 10, 11, 12
10 Multiplying with Fractions. . . . . . . . . . . . . 289
ACTIVITIES Share and Discuss Homework • Multiplying Fractions •
Introducing a New Quick Practice Routine
11 Dividing with Fractions and Whole Numbers. . . . . . . . . . . .
. . . . . . . . . . 301 ACTIVITIES Share and Discuss Homework •
Divide Whole Numbers and Unit Fractions
17 Mixed Practice with Decimals and Fractions . . . . . . . . . . .
. . . . . . . . . . . . . 349 ACTIVITIES Share and Discuss Homework
• Fraction and Decimal Review
Quick Quiz 4 Formative Assessment
for Lessons 13, 14, 15, 16, 17
18 Focus on Mathematical Practices . . . . . . . 355 ACTIVITIES
Math and the Stock Market • Use Reasoning • Establish a
Position
13 Dividing Numerators and Denominators . . . . . . . . . . . . . .
. . . . . . . . . 317 ACTIVITIES Share and Discuss Homework •
Relating Multiplication and Division • Learning the New Quick
Practice Routine
14 Dividing by Unsimplifying . . . . . . . . . . . . . 325
ACTIVITIES Share and Discuss Homework • Two Division Methods
15 Dividing by Multiplying by the Reciprocal . . . . . . . . . . .
. . . . . . . . . . . . . . . . 333 ACTIVITIES Share and Discuss
Homework • Review and Practice Division Methods
16 Is It Multiplying or Dividing?. . . . . . . . . . . 341
ACTIVITIES Share and Discuss Homework • Fractions as Factors and
Divisors
UNIT 3 Review and Test . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . 361
Volume 1 Contents | xxxv
Volume 1 Contents (continued)
4 Surface Area of Prisms and Pyramids UNIT
Nets and Surface Area of Prisms Common Core Standards CC.6.G.1,
CC.6.G.4, CC.6.EE.2, CC.6.EE.2c
REAL WORLD PROBLEM SOLVING
3 Surface Area of Prisms . . . . . . . . . . . . . . . . 387
ACTIVITIES Share and Discuss Homework • Solve Problems
Quick Quiz 1 Formative Assessment
for Lessons 1, 2, 3
1 Nets and Surface Area for Rectangular Prisms . . . . . . . . . .
. . . . . . . . . 365 ACTIVITIES Model Rectangular Prisms • Surface
Area of Rectangular Prisms • Surface Area of Cubes
FAMILY LETTER
2 Nets and Surface Area for Nonrectangular Prisms . . . . . . . . .
. . . . . . . 377 ACTIVITIES Share and Discuss Homework • Model
Nonrectangular Prisms • Surface Area of Nonrectangular Prisms
Nets and Surface Area of Pyramids Common Core Standards CC.6.G.1,
CC.6.G.4, CC.6.EE.2, CC.6.EE.2c, CC.6.EE.6
REAL WORLD PROBLEM SOLVING
Quick Quiz 2 Formative Assessment
for Lessons 4 and 5
6 Focus on Mathematical Practices . . . . . . . . 407 ACTIVITIES
Math and Packaging • Look for a Pattern • Establish a
Position
4 Nets for Pyramids . . . . . . . . . . . . . . . . . . . . 393
ACTIVITIES Share and Discuss Homework • Model Pyramids • Construct
Other Types of Pyramids
5 Surface Area of Pyramids. . . . . . . . . . . . . . 401
ACTIVITIES Share and Discuss Homework • Surface Area and
Pyramids
UNIT 4 Review and Test . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . 413
xxxvi | Volume 1 Contents
UNIT
Equivalent Expressions Common Core Standards CC.6.EE.1, CC.6.EE.2,
CC.6.EE.2a, CC.6.EE.2b, CC.6.EE.2c, CC.6.EE.3, CC.6.EE.4,
CC.6.NS.4
REAL WORLD PROBLEM SOLVING
REAL WORLD PROBLEM SOLVING
4 Modeling and Simplifying Expressions . . . . . . . . . . . . . .
. . . . . . . . . . . 445 ACTIVITIES Share and Discuss Homework •
Expressions for Dot Diagrams
5 Expressions for Area and Surface Area. . . 455 ACTIVITIES Share
and Discuss Homework • Different Expressions for the Same Area •
Surface Areas of Prisms • Seeing Area in Different Ways
(Optional)
Quick Quiz 1 Formative Assessment
for Lessons 1, 2, 3, 4, 5
1 Expressions and Order of Operations . . . 417 ACTIVITIES The
Language of Algebra • Simplifying and Evaluating Expressions
FAMILY LETTER
2 Expressions with Exponents . . . . . . . . . . . 425 ACTIVITIES
Share and Discuss Homework • Exponents • Expressions That Represent
Designs
3 Interpreting and Analyzing Expressions . . 435 ACTIVITIES Share
and Discuss Homework • Describe Expressions • Analyze
Expressions
8 The Distributive Property. . . . . . . . . . . . . . 491
ACTIVITIES Share and Discuss Homework • Understand and Apply the
Distributive Property • Equivalent Expressions
9 Practice with Expressions. . . . . . . . . . . . . . 503
ACTIVITIES Share and Discuss Homework • Introduce the New Quick
Practice Routine • Work with Expressions
Quick Quiz 2 Formative Assessment
for Lessons 6, 7, 8, 9
6 Equivalent Expressions . . . . . . . . . . . . . . . 465
ACTIVITIES Share and Discuss Homework • Modeling Expressions
7 The Commutative and Associative Properties . . . . . . . . . . .
. . . . . . . . . . . . . . . . 477 ACTIVITIES Share and Discuss
Homework • Commutative and Associative Properties of Addition •
Commutative and Associative Properties of Multiplication
Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . 417A
Volume 2 Contents (continued)
Solving Equations and Inequalities Common Core Standards CC.6.EE.2,
CC.6.EE.2a, CC.6.EE.3, CC.6.EE.5, CC.6.EE.6, CC.6.EE.7, CC.6.EE.8,
CC.6.EE.9
REAL WORLD PROBLEM SOLVING
14 Inequalities. . . . . . . . . . . . . . . . . . . . . . . . . .
553 ACTIVITIES Share and Discuss Homework • Writing Inequalities •
Graphing Inequalities
15 Solutions of Equations and Inequalities. . . . . . . . . . . . .
. . . . . . . . . . . . . 565 ACTIVITIES Share and Discuss Homework
• Identify Solutions • Use Reasoning to Solve Equations
16 Addition and Subtraction Equations . . . . 575 ACTIVITIES Share
and Discuss Homework • Addition and Subtraction Equations
17 Multiplication and Division Equations . . . 585 ACTIVITIES Share
and Discuss Homework • Multiplication and Division Equations
Quick Quiz 4 Formative Assessment
for Lessons 14, 15, 16, 17
18 Focus on Mathematical Practices . . . . . . . 597 ACTIVITIES
Math and Transportation • Use Reasoning • Establish a
Position
10 Relating Two Quantities . . . . . . . . . . . . . . 513
ACTIVITIES Share and Discuss Homework • Quantities That Vary
Together • Equations for Quantities That Vary Together
11 Motion at a Constant Speed . . . . . . . . . . . 523 ACTIVITIES
Share and Discuss Homework • Representations of Motion at a
Constant Speed
12 Relating Equations, Tables, and Graphs. . . . . . . . . . . . .
. . . . . . . . . . . . . 535 ACTIVITIES Share and Discuss Homework
• Making a Table and Graph from an Equation • Relating Equations to
Rates and Graphs
13 Writing Equations . . . . . . . . . . . . . . . . . . . . 545
ACTIVITIES Share and Discuss Homework • Writing and Using Cost
Equations
Quick Quiz 3 Formative Assessment
for Lessons 10, 11, 12, 13
REAL WORLD PROBLEM SOLVING
xxxviii | Volume 2 Contents
UNIT
UNIT 6 Review and Test . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . 661
1 What Is Volume? . . . . . . . . . . . . . . . . . . . . . 609
ACTIVITIES Review Volume • How Is Volume Different from Surface
Area? • Choose a Measure
FAMILY LETTER
2 Fractional Unit Cubes . . . . . . . . . . . . . . . . . 619
ACTIVITIES Share and Discuss Homework • Prisms with Fractional Edge
Lengths • Packing a Prism with Unit Cubes of Appropriate Unit
Fraction Edge Lengths
3 Compose Rectangular Prisms with Fractional Edge Lengths . . . . .
. . . . . 629 ACTIVITIES Share and Discuss Homework • Build
Rectangular Prisms • Prisms with Fractional Base Dimensions • Use
Formulas to Express Volume and Find Unknown Dimensions
4 Volume of Prisms with Fractional Edge Lengths . . . . . . . . . .
. . . . . . . . . . . . . . 641 ACTIVITIES Share and Discuss
Homework • Practice Finding Volume of Prisms • Solve Real World
Problems
5 Write and Solve Equations About Volume . . . . . . . . . . . . .
. . . . . . . . . . 647 ACTIVITIES Share and Discuss Homework •
Relate Volume to Dimensions of the Prism • Write and Solve
Equations • Problems Involving Surface Area and Volume
Quick Quiz 1 Formative Assessment
for Lessons 1, 2, 3, 4, 5
6 Focus on Mathematical Practices . . . . . . . 655 ACTIVITIES Math
and Construction • Look for a Pattern • Establish a Position
Volume Formulas for Rectangular Prisms Common Core Standards
CC.6.G.1, CC.6.G.2, CC.6.G.4, CC.6.EE.2, CC.6.EE.2c,
CC.6.EE.6
Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . 609A
Volume 2 Contents | xxxix
Volume 2 Contents (continued)
Ratios with Tape Diagrams and Equations Common Core Standards
CC.6.RP.1, CC.6.RP.2, CC.6.RP.3, CC.6.RP.3a, CC.6.RP.3b, CC.6.EE.6,
CC.6.EE.7
REAL WORLD PROBLEM SOLVING
7 Solve Ratio and Rate Problems . . . . . . . . . 717 ACTIVITIES
Share and Discuss Homework • Solve Rate and Ratio Problems
Quick Quiz 2 Formative Assessment
for Lessons 5, 6, 7
5 Describing Ratios with Tape Diagrams . . 701 ACTIVITIES Share and
Discuss Homework • Using Tape Diagrams • Ratios Involving the
Whole
6 Ratios and Multiplicative Comparisons . . 709 ACTIVITIES Share
and Discuss Homework • Relating Quantities in Different Ways
REAL WORLD PROBLEM SOLVING
1 Comparing Ratios . . . . . . . . . . . . . . . . . . . . 665
ACTIVITIES Review Ratio and Proportion from Unit 1 • Use Tables to
Compare Ratios • Use Graphs to Compare Ratios
FAMILY LETTER
2 Unit Rates . . . . . . . . . . . . . . . . . . . . . . . . . .
675 ACTIVITIES Share and Discuss Homework • Unit Rates for Ratios •
New Quick Practice Routine • Solving Proportion Problems Using Unit
Rates
3 Ratios, Fractions, and Fraction Notation . . . . . . . . . . . .
. . . . . . . . . . . . . . . . 687 ACTIVITIES Share and Discuss
Homework • Ratios in Fraction Notation
4 Understanding Cross-Multiplication . . . . . 695 ACTIVITIES Share
and Discuss Homework • Understanding Cross-Multiplication
Quick Quiz 1 Formative Assessment
for Lessons 1, 2, 3, 4
Ratios, Fractions, Unit Rates, and Cross-Multiplying Common Core
Standards CC.6.RP.1, CC.6.RP.2, CC.6.RP.3, CC.6.RP.3a, CC.6.RP.3b,
CC.6.EE.6, CC.6.EE.7
7 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . 665A
xl | Volume 2 Contents
Percent Common Core Standards CC.6.RP.3, CC.6.RP.3c, CC.6.EE.6,
CC.6.EE.7
Relate Different Measurement Units Common Core Standards CC.6.RP.1,
CC.6.RP.3, CC.6.RP.3c, CC.6.RP.3d, CC.6.EE.6, CC.6.EE.7, CC.6.EE.9,
CC.6.G.1, CC.6.G.4
REAL WORLD PROBLEM SOLVING
REAL WORLD PROBLEM SOLVING
11 Solve Percent Problems . . . . . . . . . . . . . . . 753
ACTIVITIES Share and Discuss Homework • Compare Using Percents •
Practice Solving Percent Problems
Quick Quiz 3 Formative Assessment
for Lessons 8, 9, 10, 11
8 The Meaning of Percent. . . . . . . . . . . . . . . 723
ACTIVITIES Share and Discuss Homework • Understand Percent
9 Percent of a Number. . . . . . . . . . . . . . . . . . 733
ACTIVITIES Share and Discuss Homework • Finding Percent of a
Number
10 Percent Calculations . . . . . . . . . . . . . . . . . . 743
ACTIVITIES Share and Discuss Homework • Finding the Portion •
Finding the Whole
Quick Quiz 4 Formative Assessment
for Lessons 12, 13
14 Focus on Mathematical Practices . . . . . . . 779 ACTIVITIES
Math and Collections • Use Reasoning • Establish a Position
12 Convert Units of Length. . . . . . . . . . . . . . . 759
ACTIVITIES Share and Discuss Homework • Length Conversions •
Convert Units to Find Area
13 Convert Units of Liquid Volume, Mass, and Weight . . . . . . . .
. . . . . . . . . . . . 769 ACTIVITIES Share and Discuss Homework •
Convert Units of Liquid Volume • Convert Units of Mass and
Weight
UNIT 7 Review and Test . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . 785
Volume 2 Contents | xli
Volume 2 Contents (continued)
Summarizing Data: The Mean, the Median Common Core Standards
CC.6.SP.2, CC.6.SP.3, CC.6.SP.4, CC.6.SP.5, CC.6.SP.5c,
CC.6.SP.5d
REAL WORLD PROBLEM SOLVING
6 Find and Use the Median . . . . . . . . . . . . . . 831
ACTIVITIES Share and Discuss Homework • Find the Median • The Shape
of Data
Quick Quiz 2 Formative Assessment
for Lessons 3, 4, 5, 6
3 Making Data Groups Equal . . . . . . . . . . . . 809 ACTIVITIES
Share and Discuss Homework • What Is the Mean of a Data Set? •
What’s the Error?
4 Use the Mean. . . . . . . . . . . . . . . . . . . . . . . . 817
ACTIVITIES Share and Discuss Homework • Use the Mean to Summarize
and Compare Data
5 The Mean as a Balance Point . . . . . . . . . . . 823 ACTIVITIES
Share and Discuss Homework • Dot Plots with the Same Mean •
Calculate the Mean Using a Dot Plot
REAL WORLD PROBLEM SOLVING
1 Making Sense of Data . . . . . . . . . . . . . . . . 791
ACTIVITIES Why Do We Study Statistics? • Analyzing Numerical Data
in a Dot Plot
FAMILY LETTER
2 Dot Plots and Histograms . . . . . . . . . . . . . 799 ACTIVITIES
Share and Discuss Homework • Making and Reading Dot Plots • Making
and Reading Histograms
Quick Quiz 1 Formative Assessment
for Lessons 1, 2
Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . 791A
Analyzing Statistics8
Describing Variability in Data Common Core Standards CC.6.SP.1,
CC.6.SP.2, CC.6.SP.3, CC.6.SP.4, CC.6.SP.5, CC.6.SP.5a, CC.6.SP.5b,
CC.6.SP.5c, CC.6.SP.5d
REAL WORLD PROBLEM SOLVING
11 Collect, Display, and Interpret Data . . . . . 875 ACTIVITIES
Share and Discuss Homework • Investigate Paper Airplanes
Quick Quiz 3 Formative Assessment
for Lessons 7, 8, 9, 10, 11
12 Focus on Mathematical Practices . . . . . . . 883 ACTIVITIES
Math and Handprints • Informal Units of Measure • Use Reasoning •
Establish a Position
7 Variability in Data . . . . . . . . . . . . . . . . . . . . 841
ACTIVITIES Share and Discuss Homework • The Range of Data • Find
Quartiles
8 Box Plots. . . . . . . . . . . . . . . . . . . . . . . . . . . .
851 ACTIVITIES Share and Discuss Homework • Box Plots • Interpret
Box Plots • Interquartile Range
9 Mean Absolute Deviation. . . . . . . . . . . . . . 861 ACTIVITIES
Share and Discuss Homework •
Distance from the Mean • Mean Absolute Deviation • Interpret Mean
Absolute Deviation
10 Clusters, Peaks, Gaps, and Outliers . . . . . 869 ACTIVITIES
Share and Discuss Homework • The Overall Shape of Data • Summarize
and Describe Data
UNIT 8 Review and Test . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . 889
UNIT
REAL WORLD PROBLEM SOLVING
1 Negative Numbers in the Real World. . . . 895 ACTIVITIES Discuss
Situations Involving Negative Numbers • Identify Opposites
FAMILY LETTER
2 Integers on a Number Line . . . . . . . . . . . . 901 ACTIVITIES
Share and Discuss Homework • Lengths on a Number Line • Distance
and Points on a Number Line • Introduce the Quick Practice for Unit
9 • The Number Line Game
3 Compare and Order Integers . . . . . . . . . . . 911 ACTIVITIES
Share and Discuss Homework • Compare and Order Integers Using a
Number Line • Use Absolute Value • Compare and Order Integers in
Real World Situations
4 Integers and the Coordinate Plane . . . . . . 923 ACTIVITIES
Share and Discuss Homework • Coordinate Plane Graphing • Quadrants
• Real World Situations
Quick Quiz 1 Formative Assessment
for Lessons 1, 2, 3, 4
Discuss, Compare, and Graph Integers Common Core Standards
CC.6.NS.5, CC.6.NS.6, CC.6.NS.6a, CC.6.NS.6b, CC.6.NS.6c,
CC.6.NS.7, CC.6.NS.7a, CC.6.NS.7b, CC.6.NS.7c, CC.6.NS.7d,
CC.6.NS.8
Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . 895A
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Volume 2 Contents (continued)
Grade 6 Posters . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . T1
REAL WORLD PROBLEM SOLVING
5 Rational Numbers on a Number Line . . . . 935 ACTIVITIES Share
and Discuss Homework • Fractions on a Number Line • Decimals on a
Number Line • The Number Line Game
6 Compare and Order Rational Numbers . . 945 ACTIVITIES Share and
Discuss Homework • Use a Number Line to Compare Rational Numbers •
Rational Numbers in Real World Situations
7 Rational Numbers and the Coordinate Plane . . . . . . . . . . . .
. . . . . . . . . 953 ACTIVITIES Share and Discuss Homework •
Distance and Reflections in the Coordinate Plane • Absolute Value
and Distance • Real World Situations
Quick Quiz 2 Formative Assessment
for Lessons 5, 6, 7
8 Focus on Mathematical Practices . . . . . . . . 965 ACTIVITIES
Math and Global Positioning • Draw a Model • Establish a
Position
Discuss, Compare, and Graph Rational Numbers Common Core Standards
CC.6.NS.5, CC.6.NS.6, CC.6.NS.6a, CC.6.NS.6b, CC.6.NS.6c,
CC.6.NS.7, CC.6.NS.7a, CC.6.NS.7b, CC.6.NS.7c, CC.6.NS.7d,
CC.6.NS.8, CC.6.G.3
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