# Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013

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1 A Correlation of Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013 to the Topics & Lessons of Pearson

4 A Correlation of Courses 1, 2 and 3, Common Core Course 1 Common Core, 2013 Grade 6 Number Properties and Decimals 1-1 Properties of Operations 6.EE.2.b, 6.EE.3 Topic 2: Equivalent Expressions Lesson 2-1: The Identity and Zero Properties Lesson 2-2: The Commutative Properties Lesson 2-3: The Associative Properties 1-2 Order of Operations 6.EE.2.b, 6.EE.2.c Topic 1: Variables and Expressions Lesson 1-4: Evaluating Algebraic Expressions Lesson 1-5: Expressions with Exponents Topic 2: Equivalent Expressions Lesson 2-7: Problem Solving 1-3a Activity Lab Hands On: Exploring Decimal Models Number System, Part 2 Topic 7: Fluency with Decimals Lesson 7-6: Comparing and Ordering Decimals and Fractions 1-3 Understanding Decimals Number System, Part 2 Topic 7: Fluency with Decimals Lesson 7-5: Decimals and Fractions 1-4a Activity Lab Hands On: Using Models 6.NS.3 Number System, Part 2 Topic 7: Fluency with Decimals Lesson 7-1: Adding and Subtracting Decimals 1-4 Adding and Subtracting Decimals 6.NS.3 Number System, Part 2 Topic 7: Fluency with Decimals Lesson 7-1: Adding and Subtracting Decimals 1

5 A Correlation of Courses 1, 2 and 3, Common Core Course 1 Common Core, a Activity Lab: Modeling Decimal Multiplication 6.NS.3 Grade 6 Number System, Part 2 Topic 7: Fluency with Decimals Lesson 7-2: Multiplying Decimals 1-5 Multiplying Decimals 6.NS.3, 6.EE.2, 6.EE.2.b Number System, Part 2 Topic 7: Fluency with Decimals Lesson 7-2: Multiplying Decimals Lesson 7-7: Problem Solving 1-5b Activity Lab Technology: Multiplying and Dividing Decimals by 10, 100, and 1,000 6.NS.3 Number System, Part 2 Topic 7: Fluency with Decimals Lesson 7-2: Multiplying Decimals Lesson 7-4: Dividing Decimals 1-6 Dividing Decimals 6.NS.2, 6.NS.3, 6.EE.2, 6.EE.2.b Number System, Part 2 Topic 7: Fluency with Decimals Lesson 7-4: Dividing Decimals Lesson 7-7: Problem Solving 1-6b Activity Lab Data Analysis: Using Decimals 6.NS.3 Number System, Part 2 Topic 7: Fluency with Decimals Lesson 7-1: Adding and Subtracting Decimals Lesson 7-2: Multiplying Decimals Lesson 7-4: Dividing Decimals 2-1a Activity Lab Hands On: Patterns and Expressions 6.EE.2 Topic 1: Variables and Expressions Lesson 1-3: Writing Algebraic Expressions Lesson 1-4: Evaluating Algebraic Expressions Topic 4: Two-Variable Relationships Lesson 4-2: Analyzing Patterns Using Tables and Graphs 2

6 A Correlation of Courses 1, 2 and 3, Common Core Course 1 Common Core, Variables and Expressions 6.EE.2, 6.EE.2.c, 6.EE.6 Grade 6 Topic 1: Variables and Expressions Lesson 1-1: Numerical Expressions Lesson 1-2: Algebraic Expressions Lesson 1-3: Writing Algebraic Expressions Lesson 1-4: Evaluating Algebraic Expressions Lesson 1-6: Problem Solving 2-2a Activity Lab: Modeling Expressions 6.EE.2 Topic 1: Variables and Expressions Lesson 1-6: Problem Solving 2-2 Writing Algebraic Expressions 6.EE.2, 6.EE.2.a, 6.EE.2.b, 6.EE.6 Topic 1: Variables and Expressions Lesson 1-2: Algebraic Expressions Lesson 1-3: Writing Algebraic Expressions Lesson 1-6: Problem Solving 2-3 Using Number Sense to Solve One-Step Equations 6.EE.5, 6.EE.6, 6.EE.7 Topic 3: Equations and Inequalities Lesson 3-3: Solving Addition and Subtraction Equations Lesson 3-4: Solving Multiplication and Division Equations Lesson 3-7: Problem Solving 2-4a Activity Lab Hands On: Modeling Equations 6.EE.5, 6.EE.6, 6.EE.7 Topic 3: Equations and Inequalities Lesson 3-4: Solving Multiplication and Division Equations Lesson 3-7: Problem Solving 2-4 Solving Addition Equations 6.EE.5, 6.EE.6, 6.EE.7 Topic 3: Equations and Inequalities Lesson 3-3: Solving Addition and Subtraction Equations Lesson 3-7: Problem Solving 3

7 A Correlation of Courses 1, 2 and 3, Common Core Course 1 Common Core, Solving Subtraction Equations 6.EE.5, 6.EE.6, 6.EE.7 Grade 6 Topic 3: Equations and Inequalities Lesson 3-3: Solving Addition and Subtraction Equations Lesson 3-7: Problem Solving 2-6a Activity Lab Hands On: Modeling Division Equations 6.EE.5, 6.EE.6, 6.EE Solving Multiplication and Division Equations 6.EE.5, 6.EE.6, 6.EE.7 Topic 3: Equations and Inequalities Lesson 3-4: Solving Multiplication and Division Equations Topic 3: Equations and Inequalities Lesson 3-4: Solving Multiplication and Division Equations Lesson 3-7: Problem Solving Number Theory 3-1 Divisibility and Mental Math Topic 2: Equivalent Expressions Lesson 2-4: Greatest Common Factor Lesson 2-6: Least Common Multiple 3-2 Exponents 6.EE.1, 6.EE.2, 6.EE.2.c Topic 1: Variables and Expressions Lesson 1-5: Expressions with Exponents 3-3 Prime Numbers and Prime Factorizations Topic 2: Equivalent Expressions Lesson 2-4: Greatest Common Factor Lesson 2-6: Least Common Multiple 3-4 Greatest Common Factor 6.NS.4 Topic 2: Equivalent Expressions Lesson 2-4: Greatest Common Factor Lesson 2-6: Least Common Multiple Lesson 2-7: Problem Solving 4

8 A Correlation of Courses 1, 2 and 3, Common Core Course 1 Common Core, 2013 Grade Least Common Multiple 6.NS.4 Topic 2: Equivalent Expressions Lesson 2-4: Greatest Common Factor Lesson 2-6: Least Common Multiple Lesson 2-7: Problem Solving 3-6 The Distributive Property 6.EE.2.b, 6.EE.3, 6.EE.4 Topic 2: Equivalent Expressions Lesson 2-5: The Distributive Property Lesson 2-7: Problem Solving Topic 3: Equations and Inequalities Lesson 3-1: Expressions to Equations 3-7 Simplifying Algebraic Expressions 6.EE.2.b, 6.EE.3, 6.EE.4 Topic 1: Variables and Expressions Lesson 1-2: Algebraic Expressions Lesson 1-3: Writing Algebraic Expressions Lesson 1-4: Evaluating Algebraic Expressions Fraction Operations 4-1a Activity Lab Hands On: Modeling Fraction Multiplication UNIT B Number System, Part 1 Topic 5: Multiplying Fractions Lesson 5-1: Multiplying Fractions and Whole Numbers Lesson 5-2: Multiplying Two Fractions Lesson 5-3: Multiplying Fractions and Mixed Numbers 4-1 Multiplying Fractions and Mixed Numbers UNIT B Number System, Part 1 Topic 5: Multiplying Fractions Lesson 5-2: Multiplying Two Fractions Lesson 5-3: Multiplying Fractions and Mixed Numbers Lesson 5-4: Multiplying Mixed Numbers 5

9 A Correlation of Courses 1, 2 and 3, Common Core Course 1 Common Core, 2013 Grade Modeling Fraction Division 6.NS.1 UNIT B Number System, Part 1 Topic 6: Dividing Fractions Lesson 6-1: Dividing Fractions and Whole Numbers Lesson 6-2: Dividing Unit Fractions by Unit Fractions Lesson 6-4: Dividing Mixed Numbers Lesson 6-5: Problem Solving 4-3 Dividing Fractions 6.NS.1 UNIT B Number System, Part 1 Topic 6: Dividing Fractions Lesson 6-2: Dividing Unit Fractions by Unit Fractions Lesson 6-3: Dividing Fractions by Fractions Lesson 6-5: Problem Solving 4-4 Dividing Mixed Numbers 6.NS.1 UNIT B Number System, Part 1 Topic 6: Dividing Fractions Lesson 6-4: Dividing Mixed Numbers Lesson 6-5: Problem Solving 4-4b Activity Lab Technology: Using a Calculator for Fractions 6.NS.1 UNIT B Number System, Part 1 Topic 5: Multiplying Fractions Lesson 5-1: Multiplying Fractions and Whole Numbers Lesson 5-2: Multiplying Two Fractions Lesson 5-3: Multiplying Fractions and Mixed Numbers Lesson 5-4: Multiplying Mixed Numbers Lesson 5-5: Problem Solving Topic 6: Dividing Fractions Lesson 6-1: Dividing Fractions and Whole Numbers Lesson 6-2: Dividing Unit Fractions by Unit Fractions Lesson 6-3: Dividing Fractions by Fractions Lesson 6-4: Dividing Mixed Numbers Lesson 6-5: Problem Solving 6

10 A Correlation of Courses 1, 2 and 3, Common Core Course 1 Common Core, 2013 Grade Equations with Fractions 6.EE.6, 6.EE.7 UNIT B Number System, Part 1 Topic 5: Multiplying Fractions Lesson 5-2: Multiplying Two Fractions Topic 6: Dividing Fractions Lesson 6-3: Dividing Fractions by Fractions Lesson 6-5: Problem Solving Ratios and Percents 5-1 Ratios 6.RP.1, 6.RP.3 Ratios and Proportional Relationships Topic 10: Ratios Lesson 10-1: Ratios Lesson 10-2: Exploring Equivalent Ratios Lesson 10-3: Equivalent Ratios Lesson 10-4: Ratios as Fractions Lesson 10-6: Problem Solving Topic 11: Rates Lesson 11-4: Measurements and Ratios 5-1b Activity Lab Hands On: Modeling Ratios 6.RP.3 Ratios and Proportional Relationships Topic 10: Ratios Lesson 10-1: Ratios 5-2 Unit Rates 6.RP.2, 6.RP.3, 6.RP.3.b Ratios and Proportional Relationships Topic 11: Rates Lesson 11-1: Unit Rates Lesson 11-2: Unit Prices Lesson 11-5: Choosing the Appropriate Rate Lesson 11-6: Problem Solving 5-3 Equivalent Ratios and Rates 6.RP.3, 6.RP.3.a Ratios and Proportional Relationships Topic 10: Ratios Lesson 10-2: Exploring Equivalent Ratios Lesson 10-3: Equivalent Ratios Topic 11: Rates Lesson 11-6: Problem Solving Topic 12: Ratio Reasoning Lesson 12-1: Plotting Ratios and Rates Lesson 12-2: Recognizing Proportionality 7

11 A Correlation of Courses 1, 2 and 3, Common Core Course 1 Common Core, Using Ratios to Convert Measurement Units 6.RP.3.d Grade 6 Ratios and Proportional Relationships Topic 11: Rates Lesson 11-4: Measurements and Ratios Lesson 11-6: Problem Solving 5-5 Understanding Percents 6.RP.3.c Ratios and Proportional Relationships Topic 12: Ratio Reasoning Lesson 12-3: Introducing Percents Lesson 12-4: Using Percents Lesson 12-5: Problem Solving 5-6a Activity Lab Hands On: Modeling Percents 6.RP.3.c Ratios and Proportional Relationships Topic 12: Ratio Reasoning Lesson 12-3: Introducing Percents Lesson 12-4: Using Percents 5-6 Percents, Fractions, and Decimals Number System, Part 2 Topic 7: Fluency with Decimals Lesson 7-5: Decimals and Fractions Ratios and Proportional Relationships Topic 10: Ratios Lesson 10-5: Ratios as Decimals Topic 12: Ratio Reasoning Lesson 12-3: Introducing Percents 5-7 Finding the Percent of a Number 6.RP.3.c Ratios and Proportional Relationships Topic 12: Ratio Reasoning Lesson 12-3: Introducing Percents Lesson 12-4: Using Percents Lesson 12-5: Problem Solving 5-8 Finding the Whole 6.RP.3.c Ratios and Proportional Relationships Topic 12: Ratio Reasoning Lesson 12-3: Introducing Percents Lesson 12-4: Using Percents Lesson 12-5: Problem Solving 8

12 A Correlation of Courses 1, 2 and 3, Common Core Course 1 Common Core, 2013 Integers and Rational Numbers 6-1 Exploring Integers 6.NS.5, 6.NS.6, 6.NS.6.a, 6.NS.6.c, 6.NS.7.c Grade 6 Number System, Part 2 Topic 8: Integers Lesson 8-1: Integers and the Number Line Lesson 8-3: Absolute Value 6-2 Comparing and Ordering Integers 6.NS.7.a Number System, Part 2 Topic 8: Integers Lesson 8-2: Comparing and Ordering Integers 6-3 Rational Numbers 6.NS.5, 6.NS.6, 6.NS.6.c, 6.NS.7.b Number System, Part 2 Topic 9: Rational Numbers Lesson 9-1: Rational Numbers and the Number Line 6-4 Comparing and Ordering Rational Numbers 6.NS.5, 6.NS.6, 6.NS.6.c, 6.NS.7.a, 6.NS.7.b Number System, Part 2 Topic 9: Rational Numbers Lesson 9-2: Comparing Rational Numbers Lesson 9-3: Ordering Rational Numbers 6-5 Inequalities 6.EE.5, 6.EE.8, 6.NS.7.d Topic 3: Equations and Inequalities Lesson 3-5: Equations to Inequalities Lesson 3-6: Solving Inequalities Lesson 3-7: Problem Solving 6-6 Solving One-Step Inequalities 6.EE.5 Topic 3: Equations and Inequalities Lesson 3-6: Solving Inequalities Lesson 3-7: Problem Solving The Coordinate Plane 7-1a Activity Lab Technology: Graphing Points 6.NS.6, 6.NS.6.c Number System, Part 2 Topic 8: Integers Lesson 8-4: Integers and the Coordinate Plane 9

13 A Correlation of Courses 1, 2 and 3, Common Core Course 1 Common Core, Points in the Coordinate Plane 6.NS.6., 6.NS.6.c, 6.NS.8 7-2a Activity Lab: Reflections in the Coordinate Plane 6.NS.6.b 7-2 Polygons in the Coordinate Plane 6.NS.6.b, 6.NS.8, 6.G.3 Grade 6 Number System, Part 2 Topic 8: Integers Lesson 8-4: Integers and the Coordinate Plane Lesson 8-6: Problem Solving Number System, Part 2 Topic 9: Rational Numbers Lesson 9-4: Rational Numbers and the Coordinate Plane Lesson 9-6: Problem Solving Number System, Part 2 Topic 9: Rational Numbers Lesson 9-5: Polygons in the Coordinate Plane Lesson 9-6: Problem Solving 7-3 Functions 6.EE.9 Topic 4: Two-Variable Relationships Lesson 4-2: Analyzing Patterns Using Tables and Graphs Lesson 4-3: Relating Tables and Graphs to Equations Lesson 4-4: Problem Solving Ratios and Proportional Relationships Topic 12: Ratio Reasoning Lesson 12-1: Plotting Ratios and Rates 7-4 Graphing Functions 6.EE.9 Topic 4: Two-Variable Relationships Lesson 4-2: Analyzing Patterns Using Tables and Graphs Lesson 4-3: Relating Tables and Graphs to Equations Ratios and Proportional Relationships Topic 12: Ratio Reasoning Lesson 12-1: Plotting Ratios and Rates 10

14 A Correlation of Courses 1, 2 and 3, Common Core Course 1 Common Core, 2013 Grade Functions in the Real World 6.EE.9 Topic 4: Two-Variable Relationships Lesson 4-2: Analyzing Patterns Using Tables and Graphs Lesson 4-4: Problem Solving and Measurement 8-1a Activity Lab Hands On: Comparing Areas 6.G.1 UNIT E Topic 13: Area Lesson 13-1: Rectangles and Squares Lesson 13-2: Right Triangles Lesson 13-3: Parallelograms Lesson 13-4: Other Triangles Lesson 13-5: Polygons Lesson 13-6: Problem Solving 8-1 Areas of Parallelograms and Triangles 6.G.1 UNIT E Topic 13: Area Lesson 13-2: Right Triangles Lesson 13-3: Parallelograms Lesson 13-4: Other Triangles 8-2 Areas of Polygons 6.G.1 UNIT E Topic 13: Area Lesson 13-5: Polygons Lesson 13-6: Problem Solving 8-3a Activity Lab: Three-Dimensional Views UNIT E Topic 14: Surface Area and Volume Lesson 14-1: Analyzing Three-Dimensional Figures Lesson 14-2: Nets 8-3 Three-Dimensional Figures and Spatial Reasoning UNIT E Topic 14: Surface Area and Volume Lesson 14-1: Analyzing Three-Dimensional Figures 11

15 A Correlation of Courses 1, 2 and 3, Common Core Course 1 Common Core, 2013 Grade Surface Area of Prisms and Pyramids 6.G.4 UNIT E Topic 14: Surface Area and Volume Lesson 14-3: Surface Areas of Prisms Lesson 14-4: Surface Areas of Pyramids Lesson 14-6: Problem Solving 8-5a Activity Lab Hands On: Exploring Volume 6.G.2 UNIT E Topic 14: Surface Area and Volume Lesson 14-5: Volumes of Rectangular Prisms Lesson 14-6: Problem Solving 8-5 Volumes of Rectangular Prisms 6.G.2 UNIT E Topic 14: Surface Area and Volume Lesson 14-5: Volumes of Rectangular Prisms Lesson 14-6: Problem Solving Data and Graphs 9-1a Activity Lab Hands On: Exploring the Mean 6.SP.3, 6.SP.5, 6.SP.5.c UNIT F Statistics Topic 16: Measures of Center and Variation Lesson 16-2: Mean Lesson 16-5: Mean Absolute Deviation Lesson 16-6: Problem Solving 9-1 Finding the Mean 6.SP.3, 6.SP.5, 6.SP.5.c UNIT F Statistics Topic 16: Measures of Center and Variation Lesson 16-2: Mean Lesson 16-6: Problem Solving 9-2 Median and Mode 6.SP.3, 6.SP.5, 6.SP.5.c UNIT F Statistics Topic 16: Measures of Center and Variation Lesson 16-1: Median Lesson 16-4: Interquartile Range Lesson 16-6: Problem Solving 9-3 Frequency Tables and Dot Plots 6.SP.4. UNIT F Statistics Topic 15: Data Displays Lesson 15-2: Dot Plots Lesson 15-5: Choosing an Appropriate Display Lesson 15-6: Problem Solving 12

16 A Correlation of Courses 1, 2 and 3, Common Core Course 1 Common Core, Box and Whisker Plots 6.SP.4, 6.SP.5.a, 6.SP.5.b Grade 6 UNIT F Statistics Topic 15: Data Displays Lesson 15-4: Box Plots Lesson 15-5: Choosing an Appropriate Display Lesson 15-6: Problem Solving 9-5 Histograms 6.SP.4, 6.SP.5, 6.SP.5.b, 6.SP.5.c UNIT F Statistics Topic 15: Data Displays Lesson 15-3: Histograms Lesson 15-5: Choosing an Appropriate Display Lesson 15-6: Problem Solving 9-6 Variability of Data 6.SP.2, 6.SP.3, 6.SP.5.c UNIT F Statistics Topic 16: Measures of Center and Variation Lesson 16-3: Variability Lesson 16-4: Interquartile Range Lesson 16-5: Mean Absolute Deviation Lesson 16-6: Problem Solving 9-7 Shape of Distributions 6.SP.2, 6.SP.5.d UNIT F Statistics Topic 15: Data Displays Lesson 15-2: Dot Plots Lesson 15-3: Histograms Lesson 15-6: Problem Solving Topic 16: Measures of Center and Variation Lesson 16-3: Variability 9-8 Statistical Questions 6.SP.1, 6.SP.2 UNIT F Statistics Topic 15: Data Displays Lesson 15-1: Statistical Questions 13

17 A Correlation of Courses 1, 2 and 3 Common Core Course 2 Common Core, 2013 Integers and Rational Numbers 1-1 Comparing and Ordering Integers 7.NS.1.a, 7.NS.1.b Grade 7 UNIT B Rational Numbers Topic 4: Adding and Subtracting Rational Numbers Lesson 4-2: Adding Integers Lesson 4-4: Subtracting Integers Lesson 4-6: Distance on a Number Line Lesson 4-7: Problem Solving 1-2a Activity Lab: Hands On: Modeling Integer Addition and Subtraction 7.NS.1.a, 7.NS.1.b, 7.NS.1.c, 7.NS.1.d UNIT B Rational Numbers Topic 4: Adding and Subtracting Rational Numbers Lesson 4-2: Adding Integers Lesson 4-4: Subtracting Integers 1-2 Adding and Subtracting Integers 7.NS.2, 7.NS.2.a UNIT B Rational Numbers Topic 4: Adding and Subtracting Rational Numbers Lesson 4-2: Adding Integers Lesson 4-4: Subtracting Integers Lesson 4-7: Problem Solving 1-3a Activity Lab Hands On: Modeling Integer Multiplication 7.NS.2, 7.NS.2.a, 7.NS.2.b, 7.NS.2.c, 7.NS.2.d UNIT B Rational Numbers Topic 5: Multiplying and Dividing Rational Numbers Lesson 5-1: Multiplying Integers Lesson 5-6: Problem Solving 1-3 Multiplying and Dividing Integers 7.NS.2, 7.NS.2.a, 7.NS.2.b, 7.NS.2.c UNIT B Rational Numbers Topic 5: Multiplying and Dividing Rational Numbers Lesson 5-1: Multiplying Integers Lesson 5-3: Dividing Integers Lesson 5-6: Problem Solving 14

18 A Correlation of Courses 1, 2 and 3, Common Core Course 2 Common Core, 2013 Grade Fractions and Decimals 7.NS.2.d, 7.EE.3 UNIT B Rational Numbers Topic 6: Decimals and Percent Lesson 6-1: Repeating Decimals Lesson 6-2: Terminating Decimals Lesson 6-5: Fractions, Decimals, and Percents Lesson 6-7: Problem Solving 1-5 Rational Numbers 7.NS.2.b UNIT B Rational Numbers Topic 4: Adding and Subtracting Rational Numbers Lesson 4-1: Rational Numbers, Opposites, and Absolute Value 1-6a Activity Lab Hands On: Modeling Addition and Subtraction of Rational Numbers UNIT B Rational Numbers Topic 4: Adding and Subtracting Rational Numbers Lesson 4-3: Adding Rational Numbers Lesson 4-5: Subtracting Rational Numbers 1-6 Adding and Subtracting Rational Numbers 7.NS.1.a, 7.NS.1.b, 7.NS.1.c, 7.NS.1.d, 7.NS.3 UNIT B Rational Numbers Topic 4: Adding and Subtracting Rational Numbers Lesson 4-3: Adding Rational Numbers Lesson 4-5: Subtracting Rational Numbers Lesson 4-7: Problem Solving 1-6b Activity Lab Data Analysis: Using Tables to Compare Data Ratio and Proportional Relationships Topic 2: Proportional Relationships Lesson 2-1: Proportional Relationships and Tables 1-7 Multiplying Rational Numbers 7.NS.2, 7.NS.2.a, 7.NS.2.c, 7.NS.3 UNIT B Rational Numbers Topic 5: Multiplying and Dividing Rational Numbers Lesson 5-2: Multiplying Rational Numbers Lesson 5-6: Problem Solving 15

19 A Correlation of Courses 1, 2 and 3, Common Core Course 2 Common Core, Dividing Rational Numbers 7.NS.2, 7.NS.2.b, 7.NS.2.c, 7.NS.3 Grade 7 UNIT B Rational Numbers Topic 5: Multiplying and Dividing Rational Numbers Lesson 5-4: Dividing Rational Numbers Lesson 5-6: Problem Solving Equations 2-1a Activity Lab: Describing Patterns 7.EE.4 Ratio and Proportional Relationships Topic 2: Proportional Relationships Lesson 2-1: Proportional Relationships and Tables Lesson 2-2: Proportional Relationships and Graphs Lesson 2-3: Constant of Proportionality Lesson 2-4: Proportional Relationships and Equations 2-1 Evaluating and Writing Algebraic Expressions 7.EE.4 2-1b Activity Lab Technology: Using Spreadsheets 7.EE.4 Topic 7: Equivalent Expressions Lesson 7-1: Expanding Algebraic Expressions Lesson 7-2: Factoring Algebraic Expressions Lesson 7-3: Adding Algebraic Expressions Lesson 7-4: Subtracting Algebraic Expressions Lesson 7-5: Problem Solving Ratio and Proportional Relationships Topic 2: Proportional Relationships Lesson 2-1: Proportional Relationships and Tables 2-2 Simplifying Expressions 7.EE.1 Topic 7: Equivalent Expressions Lesson 7-1: Expanding Algebraic Expressions Lesson 7-2: Factoring Algebraic Expressions Lesson 7-3: Adding Algebraic Expressions Lesson 7-4: Subtracting Algebraic Expressions Lesson 7-5: Problem Solving 16

20 A Correlation of Courses 1, 2 and 3, Common Core Course 2 Common Core, a Activity Lab Hands On: Modeling Equations 7.EE.4 Grade 7 Topic 8: Equations Lesson 8-5: Problem Solving 2-3 Solving One-Step Equations 7.EE.4 Topic 8: Equations Lesson 8-1: Solving Simple Equations Lesson 8-5: Problem Solving 2-3b Activity Lab Algebraic Thinking: Keeping the Balance Topic 8: Equations Lesson 8-1: Solving Simple Equations 2-4 Exploring Two-Step Equations 7.EE.4.a Topic 8: Equations Lesson 8-2: Writing Two-Step Equations Lesson 8-3: Solving Two-Step Equations Lesson 8-5: Problem Solving 2-5a Activity Lab Hands On: Modeling Two-Step Equations 7.EE.4.a Topic 8: Equations Lesson 8-3: Solving Two-Step Equations Lesson 8-5: Problem Solving 2-5 Solving Two-Step Equations 7.EE.3,7.EE.4.a Topic 8: Equations Lesson 8-3: Solving Two-Step Equations Lesson 8-5: Problem Solving 2-6 Solving Equations Involving the Distributive Property 7.EE.3, 7.EE.4.a Topic 8: Equations Lesson 8-4: Solving Equations Using the Distributive Property 17

21 A Correlation of Courses 1, 2 and 3, Common Core Course 2 Common Core, 2013 Grade 7 Inequalities 3-1 Graphing and Writing Inequalities 7.EE.4.b Topic 9: Inequalities Lesson 9-1: Solving Inequalities Using Addition or Subtraction Lesson 9-2: Solving Inequalities Using Multiplication or Division Lesson 9-3: Solving Two-Step Inequalities Lesson 9-4: Solving Multi-Step Inequalities Lesson 9-5: Problem Solving 3-2 Solving Inequalities by Adding or Subtracting 7.EE.4.b Topic 9: Inequalities Lesson 9-1: Solving Inequalities Using Addition or Subtraction Lesson 9-5: Problem Solving 3-2b Activity Lab Data Analysis: Inequalities in Bar Graphs 3-3 Solving Inequalities by Multiplying or Dividing 7.EE.4.b This objective falls outside the scope of digits. Topic 9: Inequalities Lesson 9-2: Solving Inequalities Using Multiplication or Division Lesson 9-5: Problem Solving 3-4 Solving Two-Step Inequalities 7.EE.4.b Topic 9: Inequalities Lesson 9-3: Solving Two-Step Inequalities Lesson 9-5: Problem Solving Ratios, Rates, and Proportions 4-1 Ratios 7.RP.1 Ratio and Proportional Relationships Topic 1: Ratios and Rates Lesson 1-1: Equivalent Ratios Lesson 1-3: Ratios With Fractions Lesson 1-5: Problem Solving 18

22 A Correlation of Courses 1, 2 and 3, Common Core Course 2 Common Core, 2013 Grade Unit Rates and Proportional Reasoning 7.RP.1 Ratio and Proportional Relationships Topic 1: Ratios and Rates Lesson 1-2: Unit Rates Lesson 1-4: Unit Rates With Fractions Lesson 1-5: Problem Solving 4-2b Activity Lab: Using Conversion Factors 7.RP.1 Ratio and Proportional Relationships Topic 1: Ratios and Rates Lesson 1-4: Unit Rates With Fractions 4-3 Proportions 7.RP.2, 7.RP.2.a Ratio and Proportional Relationships Topic 2: Proportional Relationships Lesson 2-1: Proportional Relationships and Tables Lesson 2-6: Problem Solving 4-4a Activity Lab Data Collection: Using Proportions with Data 7.RP.1 Ratio and Proportional Relationships Topic 2: Proportional Relationships Lesson 2-1: Proportional Relationships and Tables Lesson 2-2: Proportional Relationships and Graphs Lesson 2-3: Constant of Proportionality Lesson 2-4: Proportional Relationships and Equations 4-4 Solving Proportions 7.RP.1, 7.RP.2 Ratio and Proportional Relationships Topic 1: Ratios and Rates Lesson 1-1: Equivalent Ratios Lesson 1-2: Unit Rates Topic 2: Proportional Relationships Lesson 2-4: Proportional Relationships and Equations 19

23 A Correlation of Courses 1, 2 and 3, Common Core Course 2 Common Core, a Activity Lab Hands On: Exploring Similar Figures 7.G.1 Grade 7 Topic 12: 2- and 3-Dimensional Shapes Lesson 12-3: Drawing Triangles with Given Conditions Similar Figures 7.RP.1, 7.RP.2, 7.G.1 Topic 12: 2- and 3-Dimensional Shapes Lesson 12-3: Drawing Triangles with Given Conditions 2 4-5b Activity Lab Technology: Drawing Similar Figures 7.RP.2 Topic 12: 2- and 3-Dimensional Shapes Lesson 12-3: Drawing Triangles with Given Conditions 2 4-6a Activity Lab Hands On: Scale Drawings and Models 7.G.1 Ratio and Proportional Relationships Topic 2: Proportional Relationships Lesson 2-5: Maps and Scale Drawings Lesson 2-6: Problem Solving 4-6 Maps and Scale Drawings 7.G.1, 7.RP.1 Ratio and Proportional Relationships Topic 2: Proportional Relationships Lesson 2-5: Maps and Scale Drawings Lesson 2-6: Problem Solving 4-6b Activity Lab: Plan a Trip 7.G.1 Ratio and Proportional Relationships Topic 2: Proportional Relationships Lesson 2-5: Maps and Scale Drawings Lesson 2-6: Problem Solving 20

24 A Correlation of Courses 1, 2 and 3, Common Core Course 2 Common Core, a Activity Lab: Graphs and Proportional Relationships 7.RP.2.a, 7.RP.2.d Grade 7 Ratio and Proportional Relationships Topic 2: Proportional Relationships Lesson 2-1: Proportional Relationships and Tables Lesson 2-2: Proportional Relationships and Graphs 4-7 Proportional Relationships 7.RP.2.a, 7.RP.2.b, 7.RP.2.c, 7.RP.2.d Ratio and Proportional Relationships Topic 2: Proportional Relationships Lesson 2-1: Proportional Relationships and Tables Lesson 2-2: Proportional Relationships and Graphs Lesson 2-3: Constant of Proportionality Lesson 2-6: Problem Solving Percents 5-1 Percents, Fractions, and Decimals 7.EE.3 UNIT B Rational Numbers Topic 6: Decimals and Percent Lesson 6-5: Fractions, Decimals, and Percents 5-2 Solving Percent Problems Using Proportions 7.RP.3 Ratio and Proportional Relationships Topic 3: Percents Lesson 3-1: The Percent Equation 5-3 Solving Percent Problems Using Equations 7.RP.3 Ratio and Proportional Relationships Topic 3: Percents Lesson 3-1: The Percent Equation Lesson 3-2: Using the Percent Equation Lesson 3-7: Problem Solving 5-4 Applications of Percents 7.RP.3 Ratio and Proportional Relationships Topic 3: Percents Lesson 3-1: The Percent Equation Lesson 3-2: Using the Percent Equation Lesson 3-7: Problem Solving 21

25 A Correlation of Courses 1, 2 and 3, Common Core Course 2 Common Core, b Activity Lab Algebra Thinking: Percent Equations 7.RP.3 Grade 7 Ratio and Proportional Relationships Topic 3: Percents Lesson 3-1: The Percent Equation Lesson 3-2: Using the Percent Equation Lesson 3-7: Problem Solving 5-5 Simple Interest 7.RP.3 Ratio and Proportional Relationships Topic 3: Percents Lesson 3-3: Simple Interest 5-6a Activity Lab Data Analysis: Exploring Percent of Change 7.RP.3 Ratio and Proportional Relationships Topic 3: Percents Lesson 3-5: Percent Increase and Decrease 5-6 Finding Percent of Change 7.RP.3, 7.EE.2 Ratio and Proportional Relationships Topic 3: Percents Lesson 3-5: Percent Increase and Decrease Lesson 3-6: Markups and Markdowns Lesson 3-7: Problem Solving and Area 6-1a Activity Lab Hands On: Drawing Geometric Figures 7.G.2 Topic 12: 2- and 3-Dimensional Shapes Lesson 12-2: Drawing Triangles with Given Conditions 1 Lesson 12-3: Drawing Triangles with Given Conditions Angle Measures 7.G.5 Topic 10: Angles Lesson 10-1: Measuring Angles Lesson 10-2: Adjacent Angles Lesson 10-3: Complementary Angles Lesson 10-4: Supplementary Angles Lesson 10-5: Vertical Angles Lesson 10-6: Problem Solving 22

26 A Correlation of Courses 1, 2 and 3, Common Core Course 2 Common Core, 2013 Grade 7 6-1b Drawing Triangles 7.G.2 Topic 12: 2- and 3-Dimensional Shapes Lesson 12-2: Drawing Triangles with Given Conditions 1 Lesson 12-3: Drawing Triangles with Given Conditions 2 6-2a Activity Lab Hands On: Generating Formulas for Area 7.G.6 Topic 13: Surface Area and Volume Lesson 13-1: Surface Areas of Right Prisms Lesson 13-3: Surface Areas of Right Pyramids Lesson 13-5: Problem Solving 6-2 Area of a Parallelogram 7.G.6 Topic 13: Surface Area and Volume Lesson 13-1: Surface Areas of Right Prisms Lesson 13-5: Problem Solving 6-3 Area of a Triangle 7.G.6 Topic 13: Surface Area and Volume Lesson 13-3: Surface Areas of Right Pyramids Lesson 13-5: Problem Solving 6-4 Areas of Other Figures 7.G.6 Topic 11: Circles Lesson 11-3: Area of a Circle Lesson 11-4: Relating Circumference and Area of a Circle Lesson 11-5: Problem Solving 23

27 A Correlation of Courses 1, 2 and 3, Common Core Course 2 Common Core, a Activity Lab Hands On: Modeling a Circle 7.G.4 Grade 7 Topic 11: Circles Lesson 11-1: Center, Radius, and Diameter Lesson 11-2: Circumference of a Circle Lesson 11-3: Area of a Circle Lesson 11-4: Relating Circumference and Area of a Circle Lesson 11-5: Problem Solving 6-5 Circumference and Area of a Circle 7.G.4 Topic 11: Circles Lesson 11-1: Center, Radius, and Diameter Lesson 11-2: Circumference of a Circle Lesson 11-3: Area of a Circle Lesson 11-4: Relating Circumference and Area of a Circle Lesson 11-5: Problem Solving Surface Area and Volume 7-1 Three-Dimensional Figures Topic 12: 2- and 3-Dimensional Shapes Lesson 12-4: 2-D Slices of Right Rectangular Prisms Lesson 12-5: 2-D Slices of Right Rectangular Pyramids Lesson 12-6: Problem Solving 7-2 Surface Areas of Prisms and Cylinders 7.G.6 Topic 13: Surface Area and Volume Lesson 13-1: Surface Areas of Right Prisms Lesson 13-5: Problem Solving 7-2b Activity Lab Algebraic Thinking: Patterns in 3-Dimensional Figures Topic 13: Surface Area and Volume Lesson 13-1: Surface Areas of Right Prisms 7-3 Volumes of Prisms and Cylinders 7.G.6 Topic 13: Surface Area and Volume Lesson 13-2: Volumes of Right Prisms Lesson 13-5: Problem Solving 24

28 A Correlation of Courses 1, 2 and 3, Common Core Course 2 Common Core, b Activity Lab Hands On: Generating Formulas for Volume 7.G.6 Grade 7 Topic 13: Surface Area and Volume Lesson 13-2: Volumes of Right Prisms Lesson 13-4: Volumes of Right Pyramids Lesson 13-5: Problem Solving 7-4 Cross Sections 7.G.3 Topic 12: 2- and 3-Dimensional Shapes Lesson 12-4: 2-D Slices of Right Rectangular Prisms Lesson 12-5: 2-D Slices of Right Rectangular Pyramids Lesson 12-6: Problem Solving Analyzing Data 8-1 Random Samples and Surveys 7.SP.1 UNIT E Statistics Topic 14: Sampling Lesson 14-5: Simple Random Sampling Lesson 14-6: Comparing Sampling Methods Lesson 14-7: Problem Solving 8-2 Estimating Population Size 7.SP.2 UNIT E Statistics Topic 14: Sampling Lesson 14-2: Estimating a Population Lesson 14-7: Problem Solving 8-3 Inferences 7.SP.2 UNIT E Statistics Topic 15: Comparing Two Populations Lesson 15-2: Multiple Populations and Inferences Lesson 15-6: Problem Solving 8-4 Data Variability 7.SP.3, 7.SP.4 UNIT E Statistics Topic 15: Comparing Two Populations Lesson 15-4: Using Measures of Variability Lesson 15-5: Exploring Overlap in Data Sets Lesson 15-6: Problem Solving 25

29 A Correlation of Courses 1, 2 and 3, Common Core Course 2 Common Core, 2013 Grade 7 Probability 9-1 Probability 7.SP.5, 7.SP.7.a UNIT F Probability Topic 16: Probability Concepts Lesson 16-1: Likelihood and Probability Lesson 16-4: Theoretical Probability Lesson 16-5: Probability Models Lesson 16-6: Problem Solving Topic 17: Compound Events Lesson 17-3: Counting Outcomes Lesson 17-4: Finding Theoretical Probabilities 9-2a Activity Lab Hands On: Exploring Probability 7.SP.7, 7.SP.7.b UNIT F Probability Topic 16: Probability Concepts Lesson 16-3: Relative Frequency and Experimental Probability Lesson 16-5: Probability Models Lesson 16-6: Problem Solving Topic 17: Compound Events Lesson 17-3: Counting Outcomes 9-2 Experimental Probability 7.SP.6, 7.SP.7, 7.SP.7.b UNIT F Probability Topic 16: Probability Concepts Lesson 16-3: Relative Frequency and Experimental Probability Lesson 16-5: Probability Models Lesson 16-6: Problem Solving Topic 17: Compound Events Lesson 17-6: Finding Probabilities by Simulation Lesson 17-7: Problem Solving 9-2b Activity Lab Technology: Random Numbers 7.SP.7, 7.SP.7.b UNIT F Probability Topic 17: Compound Events Lesson 17-5: Simulation With Random Numbers 26

30 A Correlation of Courses 1, 2 and 3, Common Core Course 2 Common Core, 2013 Grade Sample Spaces 7.SP.8, 7.SP.8.b UNIT F Probability Topic 17: Compound Events Lesson 17-2: Sample Spaces Lesson 17-3: Counting Outcomes 9-3b Activity Lab Data Analysis: Using Data to Predict 7.SP.8, 7.SP.8.b UNIT F Probability Topic 17: Compound Events Lesson 17-5: Simulation With Random Numbers Lesson 17-6: Finding Probabilities by Simulation 9-4a Activity Lab: Exploring Multiple Events 7.SP.8, 7.SP.8.a, 7.SP.8.b UNIT F Probability Topic 17: Compound Events Lesson 17-1: Compound Events Lesson 17-2: Sample Spaces Lesson 17-7: Problem Solving 9-4 Compound Events 7.SP.8, 7.SP.8.a, 7.SP.8.b UNIT F Probability Topic 17: Compound Events Lesson 17-1: Compound Events Lesson 17-7: Problem Solving 9-5 Simulating Compound Events 7.SP.8.c UNIT F Probability Topic 17: Compound Events Lesson 17-6: Finding Probabilities by Simulation Lesson 17-7: Problem Solving 27

31 A Correlation of Courses 1, 2 and 3 Common Core Course 3 Common Core, 2013 Grade 8 Real Numbers and the Coordinate Plane 1-1 Rational Numbers 8.NS.1 The Number System Topic 1: Rational and Irrational Numbers Lesson 1-1: Expressing Rational Numbers with Decimal Expansions Lesson 1-5: Problem Solving 1-1b Activity Lab: Repeating Decimals 8.NS.1 The Number System Topic 1: Rational and Irrational Numbers Lesson 1-1: Expressing Rational Numbers with Decimal Expansions 1-2 Irrational Numbers and Square Roots 8.NS.1, 8.NS.2, 8.EE.2 The Number System Topic 1: Rational and Irrational Numbers Lesson 1-2: Exploring Irrational Numbers Lesson 1-3: Approximating Irrational Numbers Lesson 1-4: Comparing and Ordering Rational and Irrational Numbers Lesson 1-5: Problem Solving UNIT B, Part 1 Topic 3: Integer Exponents Lesson 3-1: Perfect Squares, Square Roots, and Equations of the form x 2 = p 1-3 Cube Roots 8.EE.2 UNIT B, Part 1 Topic 3: Integer Exponents Lesson 3-2: Perfect Cubes, Cube Roots, and Equations of the form x 3 = p 1-4a Activity Lab Hands On: Exploring the Pythagorean Theorem 8.G.7 UNIT E Topic 12: Using The Pythagorean Theorem Lesson 12-2: The Pythagorean Theorem Lesson 12-3: Finding Unknown Leg Lengths Lesson 12-6: Problem Solving 1-4 The Pythagorean Theorem 8.G.7 UNIT E Topic 12: Using The Pythagorean Theorem Lesson 12-2: The Pythagorean Theorem Lesson 12-3: Finding Unknown Leg Lengths Lesson 12-6: Problem Solving 28

32 A Correlation of Courses 1, 2 and 3, Common Core Course 3 Common Core, b Activity Lab Algebra Thinking: Proving the Pythagorean Theorem 8.G.7 Grade 8 UNIT E Topic 12: Using The Pythagorean Theorem Lesson 12-2: The Pythagorean Theorem Lesson 12-3: Finding Unknown Leg Lengths Lesson 12-6: Problem Solving 1-5 Using the Pythagorean Theorem 8.G.7 UNIT E Topic 12: Using The Pythagorean Theorem Lesson 12-2: The Pythagorean Theorem Lesson 12-3: Finding Unknown Leg Lengths Lesson 12-6: Problem Solving 1-6 Converse of the Pythagorean Theorem 8.G b Activity Lab Algebraic Thinking: Proving the Converse of the Pythagorean Theorem 1-7 Distance in the Coordinate Plane 8.G.7, 8.G.8. Solving Linear Equations 2-1a Activity Lab Hands On: Modeling Multi- Step Equations 8.EE.7, 8.EE.7.b 2-1 Solving Two-Step Equations 8.EE.7, 8.EE.7.b. 2-2a Activity Lab Hands On: Modeling Expressions 8.EE.7 UNIT E Topic 12: Using The Pythagorean Theorem Lesson 12-4: The Converse of the Pythagorean Theorem UNIT E Topic 12: Using The Pythagorean Theorem Lesson 12-4: The Converse of the Pythagorean Theorem UNIT E Topic 12: Using The Pythagorean Theorem Lesson 12-5: Distance in the Coordinate Plane UNIT B, Part 1 Topic 2: Linear Equations in One Variable Lesson 2-1: Solving Two-Step Equations Lesson 2-5: Problem Solving UNIT B, Part 1 Topic 2: Linear Equations in One Variable Lesson 2-1: Solving Two-Step Equations Lesson 2-5: Problem Solving This objective falls outside the scope of digits. 29

33 A Correlation of Courses 1, 2 and 3, Common Core Course 3 Common Core, Simplifying Algebraic Expressions 8.EE.7.b Grade 8 UNIT B, Part 1 Topic 2: Linear Equations in One Variable Lesson 2-1: Solving Two-Step Equations Lesson 2-2: Solving Equations with Variables on Both Sides Lesson 2-3: Solving Equations Using the Distributive Property 2-3 Solving Multi-Step Equations 8.EE.7, 8.EE.7.b UNIT B, Part 1 Topic 2: Linear Equations in One Variable Lesson 2-1: Solving Two-Step Equations Lesson 2-3: Solving Equations Using the Distributive Property Lesson 2-5: Problem Solving 2-4 Solving Equations With Variables on Both Sides 8.EE.7, 8.EE.7.b UNIT B, Part 1 Topic 2: Linear Equations in One Variable Lesson 2-2: Solving Equations with Variables on Both Sides 2-5 Types of Solutions of Linear Equations 8.EE.7, 8.EE.7.a, 8.EE.7.b UNIT B, Part 1 Topic 2: Linear Equations in One Variable Lesson 2-4: Solutions One, None, or Infinitely Many Introduction to Functions 3-1 Relating Graphs to Events 8.F.5 Functions Topic 7: Defining and Comparing Functions Lesson 7-5: Increasing and Decreasing Intervals Lesson 7-6: Sketching a Function Graph 3-1b Activity Lab Data Collection: Changing Graphs 8.F.5 Functions Topic 7: Defining and Comparing Functions Lesson 7-5: Increasing and Decreasing Intervals Lesson 7-6: Sketching a Function Graph 30

34 A Correlation of Courses 1, 2 and 3, Common Core Course 3 Common Core, 2013 Grade Functions 8.F.1 Functions Topic 7: Defining and Comparing Functions Lesson 7-1: Recognizing a Function Lesson 7-2: Representing a Function 3-3 Proportional Relationships 8.EE.5, Part 2 Topic 5: Proportional Relationships, Lines, and Linear Equations Lesson 5-1: Graphing Proportional Relationships Lesson 5-7: Problem Solving 3-3b Activity Lab: Proportional Relationships in Graphs, Part 2 Topic 5: Proportional Relationships, Lines, and Linear Equations Lesson 5-1: Graphing Proportional Relationships Lesson 5-7: Problem Solving 3-4 Linear Functions 8.F.3 Functions Topic 7: Defining and Comparing Functions Lesson 7-3: Linear Functions Lesson 7-7: Problem Solving 3-5 Nonlinear Functions 8.F.3 Functions Topic 7: Defining and Comparing Functions Lesson 7-4: Nonlinear Functions Lesson 7-7: Problem Solving Graphing Functions 4-1a Activity Lab: Rate of Change 8.EE.5, 8.F.4 Functions Topic 8: Linear Functions Lesson 8-2: Rate of Change Lesson 8-6: Problem Solving 4-1 Understanding Slope 8.EE.6, 8.F.4, Part 2 Topic 5: Proportional Relationships, Lines, and Linear Equations Lesson 5-3: The Slope of a Line Lesson 5-4: Unit Rates and Slope Lesson 5-7: Problem Solving 31

35 A Correlation of Courses 1, 2 and 3, Common Core Course 3 Common Core, b Activity Lab: Slope of Parallel and Perpendicular Lines 4-2a Activity Lab: Technology: Graphing Equations 8.F Graphing Linear Functions 8.EE.6, 8.F.1, 8.F.3, 8.F.4 Grade 8, Part 2 Topic 5: Proportional Relationships, Lines, and Linear Equations Lesson 5-3: The Slope of a Line Lesson 5-4: Unit Rates and Slope, Part 2 Topic 5: Proportional Relationships, Lines, and Linear Equations Lesson 5-2: Linear Equations: y = mx Lesson 5-6: Linear Equations: y = mx + b Lesson 5-7: Problem Solving Functions Topic 7: Defining and Comparing Functions Lesson 7-3: Linear Functions Lesson 7-7: Problem Solving 4-3 Writing Rules for Linear Functions 8.F.4 Functions Topic 8: Linear Functions Lesson 8-1: Defining a Linear Function Rule Lesson 8-6: Problem Solving 4-3b Activity Lab Data Analysis: Changing Representations 8.F.4 Functions Topic 7: Defining and Comparing Functions Lesson 7-2: Representing a Function Lesson 7-3: Linear Functions Lesson 7-4: Nonlinear Functions Lesson 7-6: Sketching a Function Graph Lesson 7-7: Problem Solving 4-4 Comparing Functions 8.F.2, 8.EE.5 Functions Topic 8: Linear Functions Lesson 8-4: Comparing Two Linear Functions Systems of Linear Equations 5-1 Solving Systems by Graphing 8.EE.8.a, 8.EE.8.b, 8.EE.8.c, Part 2 Topic 6: Systems of Two Linear Equations Lesson 6-3: Solving Systems of Linear Equations by Graphing 32

36 A Correlation of Courses 1, 2 and 3, Common Core Course 3 Common Core, b Activity Lab: Solutions of Linear Systems 8.EE.8.b 5-2 Solving Systems by Substitution 8.EE.8.b, 8.EE.8.c 5-3 Solving Systems by Elimination 8.EE.8.b, 8.EE.8.c 5-3b Activity Lab: Systems with Infinitely Many Solutions or No Solution 8.EE.8.b 5-4 Systems in the Real World 8.EE.8.b, 8.EE.8.c Grade 8, Part 2 Topic 6: Systems of Two Linear Equations Lesson 6-2: Estimating Solutions of Linear Systems by Inspection, Part 2 Topic 6: Systems of Two Linear Equations Lesson 6-4: Solving Systems of Linear Equations Using Substitution Lesson 6-7: Problem Solving, Part 2 Topic 6: Systems of Two Linear Equations Lesson 6-5: Solving Systems of Linear Equations Using Addition Lesson 6-6: Solving Systems of Linear Equations Using Subtraction Lesson 6-7: Problem Solving, Part 2 Topic 6: Systems of Two Linear Equations Lesson 6-2: Estimating Solutions of Linear Systems by Inspection Lesson 6-7: Problem Solving, Part 2 Topic 6: Systems of Two Linear Equations Lesson 6-1: What is a System of Linear Equations in Two Variables? Lesson 6-3: Solving Systems of Linear Equations by Graphing Lesson 6-6: Solving Systems of Linear Equations Using Subtraction Lesson 6-7: Problem Solving Exponents 6-1 Scientific Notation 8.EE.3 UNIT B, Part 1 Topic 4: Scientific Notation Lesson 4-1: Exploring Scientific Notation Lesson 4-3: Using Scientific Notation to Describe Very Small Quantities Lesson 4-5: Problem Solving 33

37 A Correlation of Courses 1, 2 and 3, Common Core Course 3 Common Core, 2013 Grade 8 6-1b Activity Lab Data Analysis: Writing This objective falls outside the scope of digits. Measurements 6-2a Activity Lab: Exploring Exponents 8.EE.1 UNIT B, Part 1 Topic 3: Integer Exponents Lesson 3-3: Exponents and Multiplication 6-2 Exponents and Multiplication 8.EE.1 UNIT B, Part 1 Topic 3: Integer Exponents Lesson 3-3: Exponents and Multiplication 6-3 Multiplying with Scientific Notation 8.EE.4 UNIT B, Part 1 Topic 4: Scientific Notation Lesson 4-1: Exploring Scientific Notation Lesson 4-4: Operating with Numbers Expressed in Scientific Notation Lesson 4-5: Problem Solving 6-3b Activity Lab Technology: Calculations with Scientific Notation 8.EE.4 UNIT B, Part 1 Topic 4: Scientific Notation Lesson 4-4: Operating with Numbers Expressed in Scientific Notation Lesson 4-5: Problem Solving 6-4 Exponents and Division 8.EE.1 UNIT B, Part 1 Topic 3: Integer Exponents Lesson 3-4: Exponents and Division Lesson 3-5: Zero and Negative Exponents Lesson 3-7: Problem Solving 6-4b Activity Lab: Power Rules 8.EE.1 UNIT B, Part 1 Topic 3: Integer Exponents Lesson 3-3: Exponents and Multiplication 6-5 Dividing with Scientific Notation 8.EE.3, 8.EE.4 UNIT B, Part 1 Topic 4: Scientific Notation Lesson 4-4: Operating with Numbers Expressed in Scientific Notation 34

38 A Correlation of Courses 1, 2 and 3, Common Core Course 3 Common Core, 2013 Grade 8 An Introduction to 7-1 Pairs of Angles UNIT E Topic 11: Reasoning in Lesson 11-1: Angles, Lines, and Transversals Lesson 11-6: Problem Solving 7-2 Angles and Parallel Lines 8.G.5 UNIT E Topic 11: Reasoning in Lesson 11-1: Angles, Lines, and Transversals Lesson 11-2: Reasoning and Parallel Lines Lesson 11-6: Problem Solving 7-3 Congruent Figures 8.G.2 UNIT E Topic 9: Congruence Lesson 9-4: Congruent Figures Lesson 9-5: Problem Solving 7-4 Similar Figures 8.G.4 UNIT E Topic 10: Similarity Lesson 10-2: Similar Figures Lesson 10-4: Problem Solving 7-5 Proving Triangles Similar 8.G.5 UNIT E Topic 11: Reasoning in Lesson 11-3: Interior Angles of Triangles Lesson 11-5: Angle-Angle Triangle Similarity 7-5b Activity Lab: Slope and Similar Triangles 8.EE.6 UNIT E Topic 10: Similarity Lesson 10-3: Relating Similar Triangles and Slope 7-6a Activity Lab: Angle Sums 8.G.5 UNIT E Topic 11: Reasoning in Lesson 11-3: Interior Angles of Triangles Lesson 11-4: Exterior Angles of Triangles Lesson 11-6: Problem Solving 35

39 A Correlation of Courses 1, 2 and 3, Common Core Course 3 Common Core, 2013 Grade Angles and Polygons 8.G.5 UNIT E Topic 11: Reasoning in Lesson 11-3: Interior Angles of Triangles Lesson 11-4: Exterior Angles of Triangles Transformations 8-1 Translations 8.G.1.a, 8.G.1.b, 8.G.1.c, 8.G.3 8-2a Activity Lab Hands On: Exploring Reflections 8.G.1.a, 8.G.1.b, 8.G.1.c 8-2 Reflections and Symmetry 8.G.1.a, 8.G.1.b, 8.G.1.c, 8.G a Activity Lab Hands On: Exploring Rotations 8.G.1.a, 8.G.1.b, 8.G.1.c. UNIT E Topic 9: Congruence Lesson 9-1: Translations Lesson 9-5: Problem Solving UNIT E Topic 9: Congruence Lesson 9-2: Reflections Lesson 9-5: Problem Solving UNIT E Topic 9: Congruence Lesson 9-2: Reflections Lesson 9-5: Problem Solving UNIT E Topic 9: Congruence Lesson 9-3: Rotations Lesson 9-5: Problem Solving 8-3 Rotations 8.G.1.a, 8.G.1.b, 8.G.1.c, 8.G.3 UNIT E Topic 9: Congruence Lesson 9-3: Rotations Lesson 9-5: Problem Solving 8-4 Transformations and Congruence 8.G.2 UNIT E Topic 9: Congruence Lesson 9-4: Congruent Figures Lesson 9-5: Problem Solving 8-5a Activity Lab: Exploring Dilations 8.G.3, 8.G.4 UNIT E Topic 10: Similarity Lesson 10-1: Dilations Lesson 10-4: Problem Solving 36

40 A Correlation of Courses 1, 2 and 3, Common Core Course 3 Common Core, 2013 Grade Dilations 8.G.3, 8.G.4 UNIT E Topic 10: Similarity Lesson 10-1: Dilations Lesson 10-4: Problem Solving 8-5b Activity Lab Technology: Software and Dilations 8.G.3, 8.G.4 UNIT E Topic 10: Similarity Lesson 10-1: Dilations Lesson 10-4: Problem Solving 8-6 Transformations and Similarity 8.G.4 UNIT E Topic 10: Similarity Lesson 10-2: Similar Figures Lesson 10-3: Relating Similar Triangles and Slope Lesson 10-4: Problem Solving and Measurement 9-1 Solids UNIT E Topic 13: Surface Area and Volume Lesson 13-1: Surface Areas of Cylinders Lesson 13-2: Volumes of Cylinders Lesson 13-3: Surface Areas of Cones Lesson 13-4: Volumes of Cones Lesson 13-7: Problem Solving 9-2a Activity Lab Hands On: Modeling Volume 8.G.9 UNIT E Topic 13: Surface Area and Volume Lesson 13-2: Volumes of Cylinders Lesson 13-7: Problem Solving 9-2 Volumes of Prisms and Cylinders 8.G.7, 8.G.9 UNIT E Topic 13: Surface Area and Volume Lesson 13-2: Volumes of Cylinders Lesson 13-7: Problem Solving 37

41 A Correlation of Courses 1, 2 and 3, Common Core Course 3 Common Core, a Activity Lab Hands On: Finding Volume Using Models 8.G.9 Grade 8 UNIT E Topic 13: Surface Area and Volume Lesson 13-2: Volumes of Cylinders Lesson 13-4: Volumes of Cones Lesson 13-7: Problem Solving 9-3 Volumes of Pyramids and Cones 8.G.9 UNIT E Topic 13: Surface Area and Volume Lesson 13-4: Volumes of Cones Lesson 13-7: Problem Solving 9-4 Spheres 8.G.9 UNIT E Topic 13: Surface Area and Volume Lesson 13-5: Surface Areas of Spheres Lesson 13-6: Volumes of Spheres Lesson 13-7: Problem Solving 9-5a Activity Lab: Changing Dimensions 8.G.9 UNIT E Topic 13: Surface Area and Volume Lesson 13-1: Surface Areas of Cylinders Lesson 13-2: Volumes of Cylinders Lesson 13-3: Surface Areas of Cones Lesson 13-4: Volumes of Cones Lesson 13-5: Surface Areas of Spheres Lesson 13-6: Volumes of Spheres Lesson 13-7: Problem Solving 9-5 Exploring Similar Solids 8.G.9 UNIT E Topic 13: Surface Area and Volume Lesson 13-1: Surface Areas of Cylinders Lesson 13-2: Volumes of Cylinders Lesson 13-4: Volumes of Cones Data Analysis 10-1a Activity Lab Data Collection: Scatter Plots 8.SP.1 UNIT F Statistics Topic 14: Scatter Plots Lesson 14-1: Interpreting a Scatter Plot Lesson 14-2: Constructing a Scatter Plot 38

42 A Correlation of Courses 1, 2 and 3, Common Core Course 3 Common Core, 2013 Grade Scatter Plots 8.SP.1, 8.SP.2 UNIT F Statistics Topic 14: Scatter Plots Lesson 14-1: Interpreting a Scatter Plot Lesson 14-2: Constructing a Scatter Plot 10-2 Analyzing Scatter Plots 8.SP.2 UNIT F Statistics Topic 14: Scatter Plots Lesson 14-3: Investigating Patterns - Clustering and Outliers Lesson 14-4: Investigating Patterns - Association Lesson 14-5: Linear Models - Fitting a Straight Line Lesson 14-6: Using the Equation of a Linear Model Lesson 14-7: Problem Solving 10-3 Modeling Data With Lines 8.SP.2, 8.SP.3 UNIT F Statistics Topic 14: Scatter Plots Lesson 14-5: Linear Models - Fitting a Straight Line Lesson 14-6: Using the Equation of a Linear Model Lesson 14-7: Problem Solving 10-4 Two-Way Tables 8.SP.4 UNIT F Statistics Topic 15: Analyzing Categorical Data Lesson 15-2: Constructing Two-Way Frequency Tables Lesson 15-3: Interpreting Two-Way Frequency Tables Lesson 15-4: Constructing Two-Way Relative Frequency Tables Lesson 15-5: Interpreting Two-Way Relative Frequency Tables Lesson 15-6: Choosing a Measure of Frequency Lesson 15-7: Problem Solving 39

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