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

2 A Correlation of Courses 1, 2 and 3, Common Core Introduction This document demonstrates how Courses 1, 2 and 3 Common Core Correlation references are to the Topics-Lessons of the program. Courses 1, 2 and 3 Common Core 2013 Prentice Hall Mathematics maintains the quality content for which Prentice Hall is known, with the research-based approach students need. Daily, integrated intervention and powerful test prep help all students master the standards and prepare for high-stakes assessments. 100% alignment to the Common Core State Standards with Standards for Mathematical Practice development embedded throughout the program CCSS correlations included at point of use throughout Teacher s Edition CCSS correlations included at lesson level in Student Edition Table of Contents Daily, integrated intervention and powerful test prep help all students master the standards and prepare for high-stakes assessments Updated Benchmark Tests for cumulative assessment of CCSS CCSS online in ExamView and Success Tracker digits Pearson s digits middle grades core mathematics curriculum was developed in direct response to teachers and schools seeking a data-driven instructional model that surpasses conventional curricula and engages today s digitally minded students. Supported by a wealth of recent research validating the benefits of personalized instruction, the authors of digits have created a compelling program that simplifies tasks for the teacher, optimizes class time, and personalizes student learning. Yearlong curriculum drives dynamic instructional environment 15 or more topics per grade level Six or more lessons per topic Additional Readiness Lessons, intervention lessons, reviews, and Readiness Assessments. Visual presentations delivered via interactive whiteboards and classroom projectors promote collaborative learning Content-rich daily lessons include three parts: launch, dynamic examples, and close and check, for comprehensive instructional support and student engagement Web-based, anytime-anywhere access to instruction and feedback extend learning at home Ongoing progress monitoring supports curriculum assessment needs and Response to Intervention requirements video tutors, and manages homework Autoscored homework, data-driven reports, and best practice lesson plans for a schoolto-home-to-school connection which streamlines teacher preparation Copyright 2013 Pearson Education, Inc. or its affiliate(s). All rights reserved

3 Table of Contents Course 1, Grade Course 2, Grade Course 3, Grade Copyright 2013 Pearson Education, Inc. or its affiliate(s). All rights reserved

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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