Volume 1 Contents. Rates, Ratios, and Proportions. Common Core State Standards for Mathematics... xlv

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1 Volume 1 Contents Common Core State Standards for Mathematics xlv 1 Rates, Ratios, and Proportions Overview A The Learning Community: Beginning the Year HH Multiplication and Rates Common Core Standards CC.6.RP.2, CC.6.RP.3, CC.6.RP.3a, CC.6.RP.3b 1 Factor Puzzles and the Multiplication Table ACTIVITIES Rows and Columns in the Multiplication Table Solving Factor Puzzles 2 Solving Factor Puzzles ACTIVITIES Introduce Unit 1 Quick Practice Solving and Making Factor Puzzles 4 Rate Situations and Unit Rate Language.. 29 Rates and Multiplication 5 Unit Rates, Products, and Rate Tables Discuss Rate Situations Quick Quiz 1 for Lessons 1, 2, 3, 4, 5 3 Rate Situations and Rate Tables Noreen s Story Record in a Rate Table 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 6 Unit Pricing Unit Price Tables and Graphs Discuss Patterns in Rate Tables, Equations, and Graphs 7 Constant Speed Constant Speed Situations Quick Quiz 2 for Lessons 6, 7 Volume 1 Contents xxxi 6_MNLAETE567556_FMTOC.indd 31 6/10/11 8:17:20 PM

2 Volume 1 Contents (continued) 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 8 Ratio as Linked Rates Ratios as Linked Rates 9 Finding Linked Values in Ratio Tables Finding Linked Values in a Ratio Table 10 Seeing Proportions in Ratio Tables Proportions Within a Ratio Table 11 Identify and Solve Proportion Situations Is It a Proportion Situation? New Quick Practice Routine Quick Quiz 3 for Lessons 8, 9, 10, 11 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 12 Solve Numeric Proportion Problems Numeric Proportions and Proportion Problems 13 Basic Ratio Solution Strategies Basic Ratio Strategies Quick Quiz 4 for Lessons 12, 13, Focus on Mathematical Practices ACTIVITIES Math and Hobbies Use Reasoning Establish a Position 14 Write and Solve Proportion Problems Solve Student Proportion Problems 1 Review and Test xxxii Volume 1 Contents 6_MNLAETE567556_FMTOC.indd 32 6/10/11 8:17:28 PM

3 2 Area of Polygons Overview A Derive Area Formulas and Solve Problems: Parallelograms and Triangles Common Core Standards CC.6.G.1, CC.6.EE.2, CC.6.EE.2c 1 Units of Area ACTIVITIES Visualize Perimeter and Area Identify and Correct Errors Real World Problems 2 Area of Any Right Triangle Explore Right Triangles Real World Problems 3 Area of Any Parallelogram Area of a Parallelogram Area of a Rhombus Solve Problems 4 Area of Any Triangle Compose Parallelograms with Triangles Triangles and Parallelograms Area of Triangles 5 Select the Needed Measurements Appropriate Measurements Choosing a Base Which Measurements? Quick Quiz 1 for Lessons 1, 2, 3, 4, 5 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 6 Area of Any Trapezoid Decompose and Compose with Trapezoids Equivalent Formulas Areas of Trapezoids 7 Area of a Complex Figure Area and Perimeter of Complex Figures 8 Area of Any Regular Polygon Area of Regular Polygons Generalize a Formula 9 Graph Polygons in the Coordinate Plane Graph Polygons Find Side Lengths Solve Real World Problems Quick Quiz 2 for Lessons 6, 7, 8, 9 10 Focus on Mathematical Practices ACTIVITIES Math and Tiling Look for a Pattern Establish a Position 2 Review and Test Volume 1 Contents xxxiii 6_MNLAETE567556_FMTOC.indd 33 6/10/11 8:17:34 PM

4 Volume 1 Contents (continued) 3 Operations with Whole Numbers, Fractions, and Decimals Overview A Multiplication and Division of Whole Numbers and Decimals Common Core Standards CC.6.NS.2, CC.6.NS.3 1 Place Value and Whole Number Division ACTIVITIES Place Value Meanings Understand Multidigit Division 2 Estimated Multipliers in Division Estimate the Multiplier Learning the Quick Practice 4 Decimal Divisors Dividing by Decimals 5 Multiplication or Division Review Decimal Multiplication and Division Quick Quiz 1 for Lessons 1, 2, 3, 4, 5 3 Multiplying by a Decimal Multiply by Decimals Relating, Composing, and Decomposing Decimals and Fractions Common Core Standards CC.6.NS.3, CC.6.NS.4 6 Comparing, Adding, and Subtracting with the Same Unit Visualize Fractions and Decimals Adding and Subtracting 7 Equivalent Fractions or Decimals Equivalent Fractions 8 Finding a Common Unit Fraction Equivalent Fractions 9 Mixed Problem Solving Mixed Practice Quick Quiz 2 for Lessons 6, 7, 8, 9 xxxiv Volume 1 Contents 6_MNLAETE567556_FMTOC.indd 34 6/10/11 8:17:41 PM

5 Multiplying Fractions and Dividing with Fractions and Whole Numbers Common Core Standards CC.6.NS.1, CC.6.NS.3, CC.6.NS.4 10 Multiplying with Fractions Multiplying Fractions Introducing a New Quick Practice Routine 11 Dividing with Fractions and Whole Numbers Divide Whole Numbers and Unit Fractions 12 Is It Multiplying or Dividing? Mixed Practice Quick Quiz 3 for Lessons 10, 11, 12 Dividing a Fraction by a Fraction Common Core Standards CC.6.NS.1, CC.6.NS.3 13 Dividing Numerators and Denominators Relating Multiplication and Division Learning the New Quick Practice Routine 14 Dividing by Unsimplifying Two Division Methods 15 Dividing by Multiplying by the Reciprocal Review and Practice Division Methods 17 Mixed Practice with Decimals and Fractions Fraction and Decimal Review Quick Quiz 4 for Lessons 13, 14, 15, 16, Focus on Mathematical Practices ACTIVITIES Math and the Stock Market Use Reasoning Establish a Position 16 Is It Multiplying or Dividing? Fractions as Factors and Divisors 3 Review and Test Volume 1 Contents xxxv 6_MNLAETE567556_FMTOC.indd 35 6/10/11 8:17:47 PM

Volume 1 Contents (continued) 4 Surface Area of Prisms and Pyramids Overview............................................................................... 365A Nets and Surface Area of Prisms Common Core Standards CC.

6 Volume 1 Contents (continued) 4 Surface Area of Prisms and Pyramids Overview A 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 1 Nets and Surface Area for Rectangular Prisms ACTIVITIES Model Rectangular Prisms Surface Area of Rectangular Prisms Surface Area of Cubes 3 Surface Area of Prisms Solve Problems Quick Quiz 1 for Lessons 1, 2, 3 2 Nets and Surface Area for Nonrectangular Prisms 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 4 Nets for Pyramids Model Pyramids Construct Other Types of Pyramids 5 Surface Area of Pyramids Surface Area and Pyramids Quick Quiz 2 for Lessons 4 and 5 6 Focus on Mathematical Practices ACTIVITIES Math and Packaging Look for a Pattern Establish a Position 4 Review and Test xxxvi Volume 1 Contents 6_MNLAETE567556_FMTOC.indd 36 6/10/11 8:17:54 PM

7 Volume 2 Contents 5 Expressions and Equations Overview A Writing, Interpreting, and Analyzing 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.4, CC.6.G.1, CC.6.G.4 1 Expressions and Order of Operations ACTIVITIES The Language of Algebra Simplifying and Evaluating Expressions 2 Expressions with Exponents Exponents Expressions That Represent Designs 3 Interpreting and Analyzing Expressions Describe Expressions Analyze Expressions 4 Modeling and Simplifying Expressions Expressions for Dot Diagrams 5 Expressions for Area and Surface Area Different Expressions for the Same Area Surface Areas of Prisms Seeing Area in Different Ways (Optional) Quick Quiz 1 for Lessons 1, 2, 3, 4, 5 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 6 Equivalent Expressions Modeling Expressions 7 The Commutative and Associative Properties Commutative and Associative Properties of Addition Commutative and Associative Properties of Multiplication 8 The Distributive Property Understand and Apply the Distributive Property Equivalent Expressions 9 Practice with Expressions Introduce the New Quick Practice Routine Work with Expressions Quick Quiz 2 for Lessons 6, 7, 8, 9 Volume 2 Contents xxxvii 6_MNLAETE567440_FMTOC.indd 37 6/10/11 8:14:56 PM

8 Volume 2 Contents (continued) Representing and Describing Quantitative Relationships Common Core Standards CC.6.EE.6, CC.6.EE.9 10 Relating Two Quantities Quantities That Vary Together Equations for Quantities That Vary Together 11 Motion at a Constant Speed Representations of Motion at a Constant Speed 13 Writing Equations Writing and Using Cost Equations Quick Quiz 3 for Lessons 10, 11, 12, Relating Equations, Tables, and Graphs Making a Table and Graph from an Equation Relating Equations to Rates and Graphs 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 14 Inequalities Writing Inequalities Graphing Inequalities 15 Solutions of Equations and Inequalities Identify Solutions Use Reasoning to Solve Equations 16 Addition and Subtraction Equations Addition and Subtraction Equations 17 Multiplication and Division Equations Multiplication and Division Equations Quick Quiz 4 for Lessons 14, 15, 16, Focus on Mathematical Practices ACTIVITIES Math and Transportation Use Reasoning Establish a Position 5 Review and Test xxxviii Volume 2 Contents 6_MNLAETE567440_FMTOC.indd 38 6/10/11 8:15:07 PM

9 6 Volume of a Rectangular Prism Overview A 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 1 What Is Volume? ACTIVITIES Review Volume How Is Volume Different from Surface Area? Choose a Measure 4 Volume of Prisms with Fractional Edge Lengths Practice Finding Volume of Prisms Solve Real World Problems 5 Write and Solve Equations About Volume Relate Volume to Dimensions of the Prism Write and Solve Equations Problems Involving Surface Area and Volume 2 Fractional Unit Cubes 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 Build Rectangular Prisms Prisms with Fractional Base Dimensions Use Formulas to Express Volume and Find Unknown Dimensions Quick Quiz 1 for Lessons 1, 2, 3, 4, 5 6 Focus on Mathematical Practices ACTIVITIES Math and Construction Look for a Pattern Establish a Position 6 Review and Test Volume 2 Contents xxxix 6_MNLAETE567440_FMTOC.indd 39 6/10/11 8:15:11 PM

10 Volume 2 Contents (continued) 7 Ratios and Rates with Fractions, Decimals, and Percents Overview A 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 1 Comparing Ratios ACTIVITIES Review Ratio and Proportion from Unit 1 Use Tables to Compare Ratios Use Graphs to Compare Ratios 2 3 Ratios, Fractions, and Fraction Notation Ratios in Fraction Notation 4 Understanding Cross-Multiplication Understanding Cross-Multiplication Unit Rates Unit Rates for Ratios New Quick Practice Routine Solving Proportion Problems Using Unit Rates Quick Quiz 1 for Lessons 1, 2, 3, 4 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 5 Describing Ratios with Tape Diagrams Using Tape Diagrams Ratios Involving the Whole 6 Ratios and Multiplicative Comparisons Relating Quantities in Different Ways 7 Solve Ratio and Rate Problems Solve Rate and Ratio Problems Quick Quiz 2 for Lessons 5, 6, 7 xl Volume 2 Contents 6_MNLAETE567440_FMTOC.indd 40 6/10/11 8:15:18 PM

11 Percent Common Core Standards CC.6.RP.3, CC.6.RP.3c, CC.6.EE.6, CC.6.EE.7 8 The Meaning of Percent Understand Percent 9 Percent of a Number Finding Percent of a Number 10 Percent Calculations Finding the Portion Finding the Whole 11 Solve Percent Problems Compare Using Percents Practice Solving Percent Problems Quick Quiz 3 for Lessons 8, 9, 10, 11 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 Convert Units of Length Length Conversions Convert Units to Find Area Convert Units of Liquid Volume, Mass, and Weight Convert Units of Liquid Volume Convert Units of Mass and Weight Quick Quiz 4 for Lessons 12, Focus on Mathematical Practices ACTIVITIES Math and Collections Use Reasoning Establish a Position 7 Review and Test Volume 2 Contents xli 6_MNLAETE567440_FMTOC.indd 41 6/10/11 8:15:23 PM

Volume 2 Contents (continued) 8 Analyzing Statistics Overview................................................................................791A Displaying Data Common Core Standards CC.6.SP.1, CC.6.SP.4, CC.

12 Volume 2 Contents (continued) 8 Analyzing Statistics Overview A Displaying Data Common Core Standards CC.6.SP.1, CC.6.SP.4, CC.6.SP.5, CC.6.SP.5a 1 Making Sense of Data ACTIVITIES Why Do We Study Statistics? Analyzing Numerical Data in a Dot Plot 2 Dot Plots and Histograms Making and Reading Dot Plots Making and Reading Histograms Quick Quiz 1 for Lessons 1, 2 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 3 Making Data Groups Equal What Is the Mean of a Data Set? What s the Error? 4 Use the Mean Use the Mean to Summarize and Compare Data 5 The Mean as a Balance Point Dot Plots with the Same Mean Calculate the Mean Using a Dot Plot 6 Find and Use the Median Find the Median The Shape of Data Quick Quiz 2 for Lessons 3, 4, 5, 6 xlii Volume 2 Contents 6_MNLAETE567440_FMTOC.indd 42 6/10/11 8:15:32 PM

13 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 7 Variability in Data The Range of Data Find Quartiles 8 Box Plots Box Plots Interpret Box Plots Interquartile Range 9 Mean Absolute Deviation Distance from the Mean Mean Absolute Deviation Interpret Mean Absolute Deviation 11 Collect, Display, and Interpret Data Investigate Paper Airplanes Quick Quiz 3 for Lessons 7, 8, 9, 10, Focus on Mathematical Practices ACTIVITIES Math and Handprints Informal Units of Measure Use Reasoning Establish a Position 10 Clusters, Peaks, Gaps, and Outliers The Overall Shape of Data Summarize and Describe Data 8 Review and Test Rational Numbers and the Coordinate Plane Overview A 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 1 Negative Numbers in the Real World ACTIVITIES Discuss Situations Involving Negative Numbers Identify Opposites 3 Compare and Order Integers 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 Coordinate Plane Graphing Quadrants Real World Situations 2 Integers on a Number Line Lengths on a Number Line Distance and Points on a Number Line Introduce the Quick Practice for Unit 9 The Number Line Game Quick Quiz 1 for Lessons 1, 2, 3, 4 Volume 2 Contents xliii 6_MNLAETE567440_FMTOC.indd 43 6/10/11 8:15:38 PM

Volume 2 Contents (continued) 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.

14 Volume 2 Contents (continued) 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 5 Rational Numbers on a Number Line Fractions on a Number Line Decimals on a Number Line The Number Line Game 6 Compare and Order Rational Numbers Use a Number Line to Compare Rational Numbers Rational Numbers in Real World Situations 7 Rational Numbers and the Coordinate Plane Distance and Reflections in the Coordinate Plane Absolute Value and Distance Real World Situations Quick Quiz 2 for Lessons 5, 6, 7 8 Focus on Mathematical Practices ACTIVITIES Math and Global Positioning Draw a Model Establish a Position 9 Review and Test Grade 6 Posters T1 Student Resources T5 Teacher Glossary T13 Recommended Books T29 Index T30 xliv Volume 2 Contents 6_MNLAETE567440_FMTOC.indd 44 6/10/11 8:15:41 PM

AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS

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