Prentice Hall Mathematics Courses 13 Common Core Edition 2013


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1 A Correlation of Prentice Hall Mathematics Courses 13 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 TopicsLessons 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 researchbased approach students need. Daily, integrated intervention and powerful test prep help all students master the standards and prepare for highstakes 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 highstakes 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 datadriven 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 Contentrich daily lessons include three parts: launch, dynamic examples, and close and check, for comprehensive instructional support and student engagement Webbased, anytimeanywhere 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, datadriven reports, and best practice lesson plans for a schooltohometoschool 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 11 Properties of Operations 6.EE.2.b, 6.EE.3 Topic 2: Equivalent Expressions Lesson 21: The Identity and Zero Properties Lesson 22: The Commutative Properties Lesson 23: The Associative Properties 12 Order of Operations 6.EE.2.b, 6.EE.2.c Topic 1: Variables and Expressions Lesson 14: Evaluating Algebraic Expressions Lesson 15: Expressions with Exponents Topic 2: Equivalent Expressions Lesson 27: Problem Solving 13a Activity Lab Hands On: Exploring Decimal Models Number System, Part 2 Topic 7: Fluency with Decimals Lesson 76: Comparing and Ordering Decimals and Fractions 13 Understanding Decimals Number System, Part 2 Topic 7: Fluency with Decimals Lesson 75: Decimals and Fractions 14a Activity Lab Hands On: Using Models 6.NS.3 Number System, Part 2 Topic 7: Fluency with Decimals Lesson 71: Adding and Subtracting Decimals 14 Adding and Subtracting Decimals 6.NS.3 Number System, Part 2 Topic 7: Fluency with Decimals Lesson 71: 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 72: Multiplying Decimals 15 Multiplying Decimals 6.NS.3, 6.EE.2, 6.EE.2.b Number System, Part 2 Topic 7: Fluency with Decimals Lesson 72: Multiplying Decimals Lesson 77: Problem Solving 15b 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 72: Multiplying Decimals Lesson 74: Dividing Decimals 16 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 74: Dividing Decimals Lesson 77: Problem Solving 16b Activity Lab Data Analysis: Using Decimals 6.NS.3 Number System, Part 2 Topic 7: Fluency with Decimals Lesson 71: Adding and Subtracting Decimals Lesson 72: Multiplying Decimals Lesson 74: Dividing Decimals 21a Activity Lab Hands On: Patterns and Expressions 6.EE.2 Topic 1: Variables and Expressions Lesson 13: Writing Algebraic Expressions Lesson 14: Evaluating Algebraic Expressions Topic 4: TwoVariable Relationships Lesson 42: 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 11: Numerical Expressions Lesson 12: Algebraic Expressions Lesson 13: Writing Algebraic Expressions Lesson 14: Evaluating Algebraic Expressions Lesson 16: Problem Solving 22a Activity Lab: Modeling Expressions 6.EE.2 Topic 1: Variables and Expressions Lesson 16: Problem Solving 22 Writing Algebraic Expressions 6.EE.2, 6.EE.2.a, 6.EE.2.b, 6.EE.6 Topic 1: Variables and Expressions Lesson 12: Algebraic Expressions Lesson 13: Writing Algebraic Expressions Lesson 16: Problem Solving 23 Using Number Sense to Solve OneStep Equations 6.EE.5, 6.EE.6, 6.EE.7 Topic 3: Equations and Inequalities Lesson 33: Solving Addition and Subtraction Equations Lesson 34: Solving Multiplication and Division Equations Lesson 37: Problem Solving 24a Activity Lab Hands On: Modeling Equations 6.EE.5, 6.EE.6, 6.EE.7 Topic 3: Equations and Inequalities Lesson 34: Solving Multiplication and Division Equations Lesson 37: Problem Solving 24 Solving Addition Equations 6.EE.5, 6.EE.6, 6.EE.7 Topic 3: Equations and Inequalities Lesson 33: Solving Addition and Subtraction Equations Lesson 37: 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 33: Solving Addition and Subtraction Equations Lesson 37: Problem Solving 26a 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 34: Solving Multiplication and Division Equations Topic 3: Equations and Inequalities Lesson 34: Solving Multiplication and Division Equations Lesson 37: Problem Solving Number Theory 31 Divisibility and Mental Math Topic 2: Equivalent Expressions Lesson 24: Greatest Common Factor Lesson 26: Least Common Multiple 32 Exponents 6.EE.1, 6.EE.2, 6.EE.2.c Topic 1: Variables and Expressions Lesson 15: Expressions with Exponents 33 Prime Numbers and Prime Factorizations Topic 2: Equivalent Expressions Lesson 24: Greatest Common Factor Lesson 26: Least Common Multiple 34 Greatest Common Factor 6.NS.4 Topic 2: Equivalent Expressions Lesson 24: Greatest Common Factor Lesson 26: Least Common Multiple Lesson 27: 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 24: Greatest Common Factor Lesson 26: Least Common Multiple Lesson 27: Problem Solving 36 The Distributive Property 6.EE.2.b, 6.EE.3, 6.EE.4 Topic 2: Equivalent Expressions Lesson 25: The Distributive Property Lesson 27: Problem Solving Topic 3: Equations and Inequalities Lesson 31: Expressions to Equations 37 Simplifying Algebraic Expressions 6.EE.2.b, 6.EE.3, 6.EE.4 Topic 1: Variables and Expressions Lesson 12: Algebraic Expressions Lesson 13: Writing Algebraic Expressions Lesson 14: Evaluating Algebraic Expressions Fraction Operations 41a Activity Lab Hands On: Modeling Fraction Multiplication UNIT B Number System, Part 1 Topic 5: Multiplying Fractions Lesson 51: Multiplying Fractions and Whole Numbers Lesson 52: Multiplying Two Fractions Lesson 53: Multiplying Fractions and Mixed Numbers 41 Multiplying Fractions and Mixed Numbers UNIT B Number System, Part 1 Topic 5: Multiplying Fractions Lesson 52: Multiplying Two Fractions Lesson 53: Multiplying Fractions and Mixed Numbers Lesson 54: 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 61: Dividing Fractions and Whole Numbers Lesson 62: Dividing Unit Fractions by Unit Fractions Lesson 64: Dividing Mixed Numbers Lesson 65: Problem Solving 43 Dividing Fractions 6.NS.1 UNIT B Number System, Part 1 Topic 6: Dividing Fractions Lesson 62: Dividing Unit Fractions by Unit Fractions Lesson 63: Dividing Fractions by Fractions Lesson 65: Problem Solving 44 Dividing Mixed Numbers 6.NS.1 UNIT B Number System, Part 1 Topic 6: Dividing Fractions Lesson 64: Dividing Mixed Numbers Lesson 65: Problem Solving 44b Activity Lab Technology: Using a Calculator for Fractions 6.NS.1 UNIT B Number System, Part 1 Topic 5: Multiplying Fractions Lesson 51: Multiplying Fractions and Whole Numbers Lesson 52: Multiplying Two Fractions Lesson 53: Multiplying Fractions and Mixed Numbers Lesson 54: Multiplying Mixed Numbers Lesson 55: Problem Solving Topic 6: Dividing Fractions Lesson 61: Dividing Fractions and Whole Numbers Lesson 62: Dividing Unit Fractions by Unit Fractions Lesson 63: Dividing Fractions by Fractions Lesson 64: Dividing Mixed Numbers Lesson 65: 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 52: Multiplying Two Fractions Topic 6: Dividing Fractions Lesson 63: Dividing Fractions by Fractions Lesson 65: Problem Solving Ratios and Percents 51 Ratios 6.RP.1, 6.RP.3 Ratios and Proportional Relationships Topic 10: Ratios Lesson 101: Ratios Lesson 102: Exploring Equivalent Ratios Lesson 103: Equivalent Ratios Lesson 104: Ratios as Fractions Lesson 106: Problem Solving Topic 11: Rates Lesson 114: Measurements and Ratios 51b Activity Lab Hands On: Modeling Ratios 6.RP.3 Ratios and Proportional Relationships Topic 10: Ratios Lesson 101: Ratios 52 Unit Rates 6.RP.2, 6.RP.3, 6.RP.3.b Ratios and Proportional Relationships Topic 11: Rates Lesson 111: Unit Rates Lesson 112: Unit Prices Lesson 115: Choosing the Appropriate Rate Lesson 116: Problem Solving 53 Equivalent Ratios and Rates 6.RP.3, 6.RP.3.a Ratios and Proportional Relationships Topic 10: Ratios Lesson 102: Exploring Equivalent Ratios Lesson 103: Equivalent Ratios Topic 11: Rates Lesson 116: Problem Solving Topic 12: Ratio Reasoning Lesson 121: Plotting Ratios and Rates Lesson 122: 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 114: Measurements and Ratios Lesson 116: Problem Solving 55 Understanding Percents 6.RP.3.c Ratios and Proportional Relationships Topic 12: Ratio Reasoning Lesson 123: Introducing Percents Lesson 124: Using Percents Lesson 125: Problem Solving 56a Activity Lab Hands On: Modeling Percents 6.RP.3.c Ratios and Proportional Relationships Topic 12: Ratio Reasoning Lesson 123: Introducing Percents Lesson 124: Using Percents 56 Percents, Fractions, and Decimals Number System, Part 2 Topic 7: Fluency with Decimals Lesson 75: Decimals and Fractions Ratios and Proportional Relationships Topic 10: Ratios Lesson 105: Ratios as Decimals Topic 12: Ratio Reasoning Lesson 123: Introducing Percents 57 Finding the Percent of a Number 6.RP.3.c Ratios and Proportional Relationships Topic 12: Ratio Reasoning Lesson 123: Introducing Percents Lesson 124: Using Percents Lesson 125: Problem Solving 58 Finding the Whole 6.RP.3.c Ratios and Proportional Relationships Topic 12: Ratio Reasoning Lesson 123: Introducing Percents Lesson 124: Using Percents Lesson 125: Problem Solving 8
12 A Correlation of Courses 1, 2 and 3, Common Core Course 1 Common Core, 2013 Integers and Rational Numbers 61 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 81: Integers and the Number Line Lesson 83: Absolute Value 62 Comparing and Ordering Integers 6.NS.7.a Number System, Part 2 Topic 8: Integers Lesson 82: Comparing and Ordering Integers 63 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 91: Rational Numbers and the Number Line 64 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 92: Comparing Rational Numbers Lesson 93: Ordering Rational Numbers 65 Inequalities 6.EE.5, 6.EE.8, 6.NS.7.d Topic 3: Equations and Inequalities Lesson 35: Equations to Inequalities Lesson 36: Solving Inequalities Lesson 37: Problem Solving 66 Solving OneStep Inequalities 6.EE.5 Topic 3: Equations and Inequalities Lesson 36: Solving Inequalities Lesson 37: Problem Solving The Coordinate Plane 71a Activity Lab Technology: Graphing Points 6.NS.6, 6.NS.6.c Number System, Part 2 Topic 8: Integers Lesson 84: 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 72a Activity Lab: Reflections in the Coordinate Plane 6.NS.6.b 72 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 84: Integers and the Coordinate Plane Lesson 86: Problem Solving Number System, Part 2 Topic 9: Rational Numbers Lesson 94: Rational Numbers and the Coordinate Plane Lesson 96: Problem Solving Number System, Part 2 Topic 9: Rational Numbers Lesson 95: Polygons in the Coordinate Plane Lesson 96: Problem Solving 73 Functions 6.EE.9 Topic 4: TwoVariable Relationships Lesson 42: Analyzing Patterns Using Tables and Graphs Lesson 43: Relating Tables and Graphs to Equations Lesson 44: Problem Solving Ratios and Proportional Relationships Topic 12: Ratio Reasoning Lesson 121: Plotting Ratios and Rates 74 Graphing Functions 6.EE.9 Topic 4: TwoVariable Relationships Lesson 42: Analyzing Patterns Using Tables and Graphs Lesson 43: Relating Tables and Graphs to Equations Ratios and Proportional Relationships Topic 12: Ratio Reasoning Lesson 121: 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: TwoVariable Relationships Lesson 42: Analyzing Patterns Using Tables and Graphs Lesson 44: Problem Solving and Measurement 81a Activity Lab Hands On: Comparing Areas 6.G.1 UNIT E Topic 13: Area Lesson 131: Rectangles and Squares Lesson 132: Right Triangles Lesson 133: Parallelograms Lesson 134: Other Triangles Lesson 135: Polygons Lesson 136: Problem Solving 81 Areas of Parallelograms and Triangles 6.G.1 UNIT E Topic 13: Area Lesson 132: Right Triangles Lesson 133: Parallelograms Lesson 134: Other Triangles 82 Areas of Polygons 6.G.1 UNIT E Topic 13: Area Lesson 135: Polygons Lesson 136: Problem Solving 83a Activity Lab: ThreeDimensional Views UNIT E Topic 14: Surface Area and Volume Lesson 141: Analyzing ThreeDimensional Figures Lesson 142: Nets 83 ThreeDimensional Figures and Spatial Reasoning UNIT E Topic 14: Surface Area and Volume Lesson 141: Analyzing ThreeDimensional 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 143: Surface Areas of Prisms Lesson 144: Surface Areas of Pyramids Lesson 146: Problem Solving 85a Activity Lab Hands On: Exploring Volume 6.G.2 UNIT E Topic 14: Surface Area and Volume Lesson 145: Volumes of Rectangular Prisms Lesson 146: Problem Solving 85 Volumes of Rectangular Prisms 6.G.2 UNIT E Topic 14: Surface Area and Volume Lesson 145: Volumes of Rectangular Prisms Lesson 146: Problem Solving Data and Graphs 91a 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 162: Mean Lesson 165: Mean Absolute Deviation Lesson 166: Problem Solving 91 Finding the Mean 6.SP.3, 6.SP.5, 6.SP.5.c UNIT F Statistics Topic 16: Measures of Center and Variation Lesson 162: Mean Lesson 166: Problem Solving 92 Median and Mode 6.SP.3, 6.SP.5, 6.SP.5.c UNIT F Statistics Topic 16: Measures of Center and Variation Lesson 161: Median Lesson 164: Interquartile Range Lesson 166: Problem Solving 93 Frequency Tables and Dot Plots 6.SP.4. UNIT F Statistics Topic 15: Data Displays Lesson 152: Dot Plots Lesson 155: Choosing an Appropriate Display Lesson 156: 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 154: Box Plots Lesson 155: Choosing an Appropriate Display Lesson 156: Problem Solving 95 Histograms 6.SP.4, 6.SP.5, 6.SP.5.b, 6.SP.5.c UNIT F Statistics Topic 15: Data Displays Lesson 153: Histograms Lesson 155: Choosing an Appropriate Display Lesson 156: Problem Solving 96 Variability of Data 6.SP.2, 6.SP.3, 6.SP.5.c UNIT F Statistics Topic 16: Measures of Center and Variation Lesson 163: Variability Lesson 164: Interquartile Range Lesson 165: Mean Absolute Deviation Lesson 166: Problem Solving 97 Shape of Distributions 6.SP.2, 6.SP.5.d UNIT F Statistics Topic 15: Data Displays Lesson 152: Dot Plots Lesson 153: Histograms Lesson 156: Problem Solving Topic 16: Measures of Center and Variation Lesson 163: Variability 98 Statistical Questions 6.SP.1, 6.SP.2 UNIT F Statistics Topic 15: Data Displays Lesson 151: Statistical Questions 13
17 A Correlation of Courses 1, 2 and 3 Common Core Course 2 Common Core, 2013 Integers and Rational Numbers 11 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 42: Adding Integers Lesson 44: Subtracting Integers Lesson 46: Distance on a Number Line Lesson 47: Problem Solving 12a 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 42: Adding Integers Lesson 44: Subtracting Integers 12 Adding and Subtracting Integers 7.NS.2, 7.NS.2.a UNIT B Rational Numbers Topic 4: Adding and Subtracting Rational Numbers Lesson 42: Adding Integers Lesson 44: Subtracting Integers Lesson 47: Problem Solving 13a 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 51: Multiplying Integers Lesson 56: Problem Solving 13 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 51: Multiplying Integers Lesson 53: Dividing Integers Lesson 56: 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 61: Repeating Decimals Lesson 62: Terminating Decimals Lesson 65: Fractions, Decimals, and Percents Lesson 67: Problem Solving 15 Rational Numbers 7.NS.2.b UNIT B Rational Numbers Topic 4: Adding and Subtracting Rational Numbers Lesson 41: Rational Numbers, Opposites, and Absolute Value 16a Activity Lab Hands On: Modeling Addition and Subtraction of Rational Numbers UNIT B Rational Numbers Topic 4: Adding and Subtracting Rational Numbers Lesson 43: Adding Rational Numbers Lesson 45: Subtracting Rational Numbers 16 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 43: Adding Rational Numbers Lesson 45: Subtracting Rational Numbers Lesson 47: Problem Solving 16b Activity Lab Data Analysis: Using Tables to Compare Data Ratio and Proportional Relationships Topic 2: Proportional Relationships Lesson 21: Proportional Relationships and Tables 17 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 52: Multiplying Rational Numbers Lesson 56: 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 54: Dividing Rational Numbers Lesson 56: Problem Solving Equations 21a Activity Lab: Describing Patterns 7.EE.4 Ratio and Proportional Relationships Topic 2: Proportional Relationships Lesson 21: Proportional Relationships and Tables Lesson 22: Proportional Relationships and Graphs Lesson 23: Constant of Proportionality Lesson 24: Proportional Relationships and Equations 21 Evaluating and Writing Algebraic Expressions 7.EE.4 21b Activity Lab Technology: Using Spreadsheets 7.EE.4 Topic 7: Equivalent Expressions Lesson 71: Expanding Algebraic Expressions Lesson 72: Factoring Algebraic Expressions Lesson 73: Adding Algebraic Expressions Lesson 74: Subtracting Algebraic Expressions Lesson 75: Problem Solving Ratio and Proportional Relationships Topic 2: Proportional Relationships Lesson 21: Proportional Relationships and Tables 22 Simplifying Expressions 7.EE.1 Topic 7: Equivalent Expressions Lesson 71: Expanding Algebraic Expressions Lesson 72: Factoring Algebraic Expressions Lesson 73: Adding Algebraic Expressions Lesson 74: Subtracting Algebraic Expressions Lesson 75: 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 85: Problem Solving 23 Solving OneStep Equations 7.EE.4 Topic 8: Equations Lesson 81: Solving Simple Equations Lesson 85: Problem Solving 23b Activity Lab Algebraic Thinking: Keeping the Balance Topic 8: Equations Lesson 81: Solving Simple Equations 24 Exploring TwoStep Equations 7.EE.4.a Topic 8: Equations Lesson 82: Writing TwoStep Equations Lesson 83: Solving TwoStep Equations Lesson 85: Problem Solving 25a Activity Lab Hands On: Modeling TwoStep Equations 7.EE.4.a Topic 8: Equations Lesson 83: Solving TwoStep Equations Lesson 85: Problem Solving 25 Solving TwoStep Equations 7.EE.3,7.EE.4.a Topic 8: Equations Lesson 83: Solving TwoStep Equations Lesson 85: Problem Solving 26 Solving Equations Involving the Distributive Property 7.EE.3, 7.EE.4.a Topic 8: Equations Lesson 84: 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 31 Graphing and Writing Inequalities 7.EE.4.b Topic 9: Inequalities Lesson 91: Solving Inequalities Using Addition or Subtraction Lesson 92: Solving Inequalities Using Multiplication or Division Lesson 93: Solving TwoStep Inequalities Lesson 94: Solving MultiStep Inequalities Lesson 95: Problem Solving 32 Solving Inequalities by Adding or Subtracting 7.EE.4.b Topic 9: Inequalities Lesson 91: Solving Inequalities Using Addition or Subtraction Lesson 95: Problem Solving 32b Activity Lab Data Analysis: Inequalities in Bar Graphs 33 Solving Inequalities by Multiplying or Dividing 7.EE.4.b This objective falls outside the scope of digits. Topic 9: Inequalities Lesson 92: Solving Inequalities Using Multiplication or Division Lesson 95: Problem Solving 34 Solving TwoStep Inequalities 7.EE.4.b Topic 9: Inequalities Lesson 93: Solving TwoStep Inequalities Lesson 95: Problem Solving Ratios, Rates, and Proportions 41 Ratios 7.RP.1 Ratio and Proportional Relationships Topic 1: Ratios and Rates Lesson 11: Equivalent Ratios Lesson 13: Ratios With Fractions Lesson 15: 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 12: Unit Rates Lesson 14: Unit Rates With Fractions Lesson 15: Problem Solving 42b Activity Lab: Using Conversion Factors 7.RP.1 Ratio and Proportional Relationships Topic 1: Ratios and Rates Lesson 14: Unit Rates With Fractions 43 Proportions 7.RP.2, 7.RP.2.a Ratio and Proportional Relationships Topic 2: Proportional Relationships Lesson 21: Proportional Relationships and Tables Lesson 26: Problem Solving 44a Activity Lab Data Collection: Using Proportions with Data 7.RP.1 Ratio and Proportional Relationships Topic 2: Proportional Relationships Lesson 21: Proportional Relationships and Tables Lesson 22: Proportional Relationships and Graphs Lesson 23: Constant of Proportionality Lesson 24: Proportional Relationships and Equations 44 Solving Proportions 7.RP.1, 7.RP.2 Ratio and Proportional Relationships Topic 1: Ratios and Rates Lesson 11: Equivalent Ratios Lesson 12: Unit Rates Topic 2: Proportional Relationships Lesson 24: 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 3Dimensional Shapes Lesson 123: Drawing Triangles with Given Conditions Similar Figures 7.RP.1, 7.RP.2, 7.G.1 Topic 12: 2 and 3Dimensional Shapes Lesson 123: Drawing Triangles with Given Conditions 2 45b Activity Lab Technology: Drawing Similar Figures 7.RP.2 Topic 12: 2 and 3Dimensional Shapes Lesson 123: Drawing Triangles with Given Conditions 2 46a Activity Lab Hands On: Scale Drawings and Models 7.G.1 Ratio and Proportional Relationships Topic 2: Proportional Relationships Lesson 25: Maps and Scale Drawings Lesson 26: Problem Solving 46 Maps and Scale Drawings 7.G.1, 7.RP.1 Ratio and Proportional Relationships Topic 2: Proportional Relationships Lesson 25: Maps and Scale Drawings Lesson 26: Problem Solving 46b Activity Lab: Plan a Trip 7.G.1 Ratio and Proportional Relationships Topic 2: Proportional Relationships Lesson 25: Maps and Scale Drawings Lesson 26: 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 21: Proportional Relationships and Tables Lesson 22: Proportional Relationships and Graphs 47 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 21: Proportional Relationships and Tables Lesson 22: Proportional Relationships and Graphs Lesson 23: Constant of Proportionality Lesson 26: Problem Solving Percents 51 Percents, Fractions, and Decimals 7.EE.3 UNIT B Rational Numbers Topic 6: Decimals and Percent Lesson 65: Fractions, Decimals, and Percents 52 Solving Percent Problems Using Proportions 7.RP.3 Ratio and Proportional Relationships Topic 3: Percents Lesson 31: The Percent Equation 53 Solving Percent Problems Using Equations 7.RP.3 Ratio and Proportional Relationships Topic 3: Percents Lesson 31: The Percent Equation Lesson 32: Using the Percent Equation Lesson 37: Problem Solving 54 Applications of Percents 7.RP.3 Ratio and Proportional Relationships Topic 3: Percents Lesson 31: The Percent Equation Lesson 32: Using the Percent Equation Lesson 37: 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 31: The Percent Equation Lesson 32: Using the Percent Equation Lesson 37: Problem Solving 55 Simple Interest 7.RP.3 Ratio and Proportional Relationships Topic 3: Percents Lesson 33: Simple Interest 56a Activity Lab Data Analysis: Exploring Percent of Change 7.RP.3 Ratio and Proportional Relationships Topic 3: Percents Lesson 35: Percent Increase and Decrease 56 Finding Percent of Change 7.RP.3, 7.EE.2 Ratio and Proportional Relationships Topic 3: Percents Lesson 35: Percent Increase and Decrease Lesson 36: Markups and Markdowns Lesson 37: Problem Solving and Area 61a Activity Lab Hands On: Drawing Geometric Figures 7.G.2 Topic 12: 2 and 3Dimensional Shapes Lesson 122: Drawing Triangles with Given Conditions 1 Lesson 123: Drawing Triangles with Given Conditions Angle Measures 7.G.5 Topic 10: Angles Lesson 101: Measuring Angles Lesson 102: Adjacent Angles Lesson 103: Complementary Angles Lesson 104: Supplementary Angles Lesson 105: Vertical Angles Lesson 106: Problem Solving 22
26 A Correlation of Courses 1, 2 and 3, Common Core Course 2 Common Core, 2013 Grade 7 61b Drawing Triangles 7.G.2 Topic 12: 2 and 3Dimensional Shapes Lesson 122: Drawing Triangles with Given Conditions 1 Lesson 123: Drawing Triangles with Given Conditions 2 62a Activity Lab Hands On: Generating Formulas for Area 7.G.6 Topic 13: Surface Area and Volume Lesson 131: Surface Areas of Right Prisms Lesson 133: Surface Areas of Right Pyramids Lesson 135: Problem Solving 62 Area of a Parallelogram 7.G.6 Topic 13: Surface Area and Volume Lesson 131: Surface Areas of Right Prisms Lesson 135: Problem Solving 63 Area of a Triangle 7.G.6 Topic 13: Surface Area and Volume Lesson 133: Surface Areas of Right Pyramids Lesson 135: Problem Solving 64 Areas of Other Figures 7.G.6 Topic 11: Circles Lesson 113: Area of a Circle Lesson 114: Relating Circumference and Area of a Circle Lesson 115: 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 111: Center, Radius, and Diameter Lesson 112: Circumference of a Circle Lesson 113: Area of a Circle Lesson 114: Relating Circumference and Area of a Circle Lesson 115: Problem Solving 65 Circumference and Area of a Circle 7.G.4 Topic 11: Circles Lesson 111: Center, Radius, and Diameter Lesson 112: Circumference of a Circle Lesson 113: Area of a Circle Lesson 114: Relating Circumference and Area of a Circle Lesson 115: Problem Solving Surface Area and Volume 71 ThreeDimensional Figures Topic 12: 2 and 3Dimensional Shapes Lesson 124: 2D Slices of Right Rectangular Prisms Lesson 125: 2D Slices of Right Rectangular Pyramids Lesson 126: Problem Solving 72 Surface Areas of Prisms and Cylinders 7.G.6 Topic 13: Surface Area and Volume Lesson 131: Surface Areas of Right Prisms Lesson 135: Problem Solving 72b Activity Lab Algebraic Thinking: Patterns in 3Dimensional Figures Topic 13: Surface Area and Volume Lesson 131: Surface Areas of Right Prisms 73 Volumes of Prisms and Cylinders 7.G.6 Topic 13: Surface Area and Volume Lesson 132: Volumes of Right Prisms Lesson 135: 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 132: Volumes of Right Prisms Lesson 134: Volumes of Right Pyramids Lesson 135: Problem Solving 74 Cross Sections 7.G.3 Topic 12: 2 and 3Dimensional Shapes Lesson 124: 2D Slices of Right Rectangular Prisms Lesson 125: 2D Slices of Right Rectangular Pyramids Lesson 126: Problem Solving Analyzing Data 81 Random Samples and Surveys 7.SP.1 UNIT E Statistics Topic 14: Sampling Lesson 145: Simple Random Sampling Lesson 146: Comparing Sampling Methods Lesson 147: Problem Solving 82 Estimating Population Size 7.SP.2 UNIT E Statistics Topic 14: Sampling Lesson 142: Estimating a Population Lesson 147: Problem Solving 83 Inferences 7.SP.2 UNIT E Statistics Topic 15: Comparing Two Populations Lesson 152: Multiple Populations and Inferences Lesson 156: Problem Solving 84 Data Variability 7.SP.3, 7.SP.4 UNIT E Statistics Topic 15: Comparing Two Populations Lesson 154: Using Measures of Variability Lesson 155: Exploring Overlap in Data Sets Lesson 156: Problem Solving 25
29 A Correlation of Courses 1, 2 and 3, Common Core Course 2 Common Core, 2013 Grade 7 Probability 91 Probability 7.SP.5, 7.SP.7.a UNIT F Probability Topic 16: Probability Concepts Lesson 161: Likelihood and Probability Lesson 164: Theoretical Probability Lesson 165: Probability Models Lesson 166: Problem Solving Topic 17: Compound Events Lesson 173: Counting Outcomes Lesson 174: Finding Theoretical Probabilities 92a Activity Lab Hands On: Exploring Probability 7.SP.7, 7.SP.7.b UNIT F Probability Topic 16: Probability Concepts Lesson 163: Relative Frequency and Experimental Probability Lesson 165: Probability Models Lesson 166: Problem Solving Topic 17: Compound Events Lesson 173: Counting Outcomes 92 Experimental Probability 7.SP.6, 7.SP.7, 7.SP.7.b UNIT F Probability Topic 16: Probability Concepts Lesson 163: Relative Frequency and Experimental Probability Lesson 165: Probability Models Lesson 166: Problem Solving Topic 17: Compound Events Lesson 176: Finding Probabilities by Simulation Lesson 177: Problem Solving 92b Activity Lab Technology: Random Numbers 7.SP.7, 7.SP.7.b UNIT F Probability Topic 17: Compound Events Lesson 175: 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 172: Sample Spaces Lesson 173: Counting Outcomes 93b Activity Lab Data Analysis: Using Data to Predict 7.SP.8, 7.SP.8.b UNIT F Probability Topic 17: Compound Events Lesson 175: Simulation With Random Numbers Lesson 176: Finding Probabilities by Simulation 94a Activity Lab: Exploring Multiple Events 7.SP.8, 7.SP.8.a, 7.SP.8.b UNIT F Probability Topic 17: Compound Events Lesson 171: Compound Events Lesson 172: Sample Spaces Lesson 177: Problem Solving 94 Compound Events 7.SP.8, 7.SP.8.a, 7.SP.8.b UNIT F Probability Topic 17: Compound Events Lesson 171: Compound Events Lesson 177: Problem Solving 95 Simulating Compound Events 7.SP.8.c UNIT F Probability Topic 17: Compound Events Lesson 176: Finding Probabilities by Simulation Lesson 177: 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 11 Rational Numbers 8.NS.1 The Number System Topic 1: Rational and Irrational Numbers Lesson 11: Expressing Rational Numbers with Decimal Expansions Lesson 15: Problem Solving 11b Activity Lab: Repeating Decimals 8.NS.1 The Number System Topic 1: Rational and Irrational Numbers Lesson 11: Expressing Rational Numbers with Decimal Expansions 12 Irrational Numbers and Square Roots 8.NS.1, 8.NS.2, 8.EE.2 The Number System Topic 1: Rational and Irrational Numbers Lesson 12: Exploring Irrational Numbers Lesson 13: Approximating Irrational Numbers Lesson 14: Comparing and Ordering Rational and Irrational Numbers Lesson 15: Problem Solving UNIT B, Part 1 Topic 3: Integer Exponents Lesson 31: Perfect Squares, Square Roots, and Equations of the form x 2 = p 13 Cube Roots 8.EE.2 UNIT B, Part 1 Topic 3: Integer Exponents Lesson 32: Perfect Cubes, Cube Roots, and Equations of the form x 3 = p 14a Activity Lab Hands On: Exploring the Pythagorean Theorem 8.G.7 UNIT E Topic 12: Using The Pythagorean Theorem Lesson 122: The Pythagorean Theorem Lesson 123: Finding Unknown Leg Lengths Lesson 126: Problem Solving 14 The Pythagorean Theorem 8.G.7 UNIT E Topic 12: Using The Pythagorean Theorem Lesson 122: The Pythagorean Theorem Lesson 123: Finding Unknown Leg Lengths Lesson 126: 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 122: The Pythagorean Theorem Lesson 123: Finding Unknown Leg Lengths Lesson 126: Problem Solving 15 Using the Pythagorean Theorem 8.G.7 UNIT E Topic 12: Using The Pythagorean Theorem Lesson 122: The Pythagorean Theorem Lesson 123: Finding Unknown Leg Lengths Lesson 126: Problem Solving 16 Converse of the Pythagorean Theorem 8.G b Activity Lab Algebraic Thinking: Proving the Converse of the Pythagorean Theorem 17 Distance in the Coordinate Plane 8.G.7, 8.G.8. Solving Linear Equations 21a Activity Lab Hands On: Modeling Multi Step Equations 8.EE.7, 8.EE.7.b 21 Solving TwoStep Equations 8.EE.7, 8.EE.7.b. 22a Activity Lab Hands On: Modeling Expressions 8.EE.7 UNIT E Topic 12: Using The Pythagorean Theorem Lesson 124: The Converse of the Pythagorean Theorem UNIT E Topic 12: Using The Pythagorean Theorem Lesson 124: The Converse of the Pythagorean Theorem UNIT E Topic 12: Using The Pythagorean Theorem Lesson 125: Distance in the Coordinate Plane UNIT B, Part 1 Topic 2: Linear Equations in One Variable Lesson 21: Solving TwoStep Equations Lesson 25: Problem Solving UNIT B, Part 1 Topic 2: Linear Equations in One Variable Lesson 21: Solving TwoStep Equations Lesson 25: 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 21: Solving TwoStep Equations Lesson 22: Solving Equations with Variables on Both Sides Lesson 23: Solving Equations Using the Distributive Property 23 Solving MultiStep Equations 8.EE.7, 8.EE.7.b UNIT B, Part 1 Topic 2: Linear Equations in One Variable Lesson 21: Solving TwoStep Equations Lesson 23: Solving Equations Using the Distributive Property Lesson 25: Problem Solving 24 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 22: Solving Equations with Variables on Both Sides 25 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 24: Solutions One, None, or Infinitely Many Introduction to Functions 31 Relating Graphs to Events 8.F.5 Functions Topic 7: Defining and Comparing Functions Lesson 75: Increasing and Decreasing Intervals Lesson 76: Sketching a Function Graph 31b Activity Lab Data Collection: Changing Graphs 8.F.5 Functions Topic 7: Defining and Comparing Functions Lesson 75: Increasing and Decreasing Intervals Lesson 76: 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 71: Recognizing a Function Lesson 72: Representing a Function 33 Proportional Relationships 8.EE.5, Part 2 Topic 5: Proportional Relationships, Lines, and Linear Equations Lesson 51: Graphing Proportional Relationships Lesson 57: Problem Solving 33b Activity Lab: Proportional Relationships in Graphs, Part 2 Topic 5: Proportional Relationships, Lines, and Linear Equations Lesson 51: Graphing Proportional Relationships Lesson 57: Problem Solving 34 Linear Functions 8.F.3 Functions Topic 7: Defining and Comparing Functions Lesson 73: Linear Functions Lesson 77: Problem Solving 35 Nonlinear Functions 8.F.3 Functions Topic 7: Defining and Comparing Functions Lesson 74: Nonlinear Functions Lesson 77: Problem Solving Graphing Functions 41a Activity Lab: Rate of Change 8.EE.5, 8.F.4 Functions Topic 8: Linear Functions Lesson 82: Rate of Change Lesson 86: Problem Solving 41 Understanding Slope 8.EE.6, 8.F.4, Part 2 Topic 5: Proportional Relationships, Lines, and Linear Equations Lesson 53: The Slope of a Line Lesson 54: Unit Rates and Slope Lesson 57: 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 42a 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 53: The Slope of a Line Lesson 54: Unit Rates and Slope, Part 2 Topic 5: Proportional Relationships, Lines, and Linear Equations Lesson 52: Linear Equations: y = mx Lesson 56: Linear Equations: y = mx + b Lesson 57: Problem Solving Functions Topic 7: Defining and Comparing Functions Lesson 73: Linear Functions Lesson 77: Problem Solving 43 Writing Rules for Linear Functions 8.F.4 Functions Topic 8: Linear Functions Lesson 81: Defining a Linear Function Rule Lesson 86: Problem Solving 43b Activity Lab Data Analysis: Changing Representations 8.F.4 Functions Topic 7: Defining and Comparing Functions Lesson 72: Representing a Function Lesson 73: Linear Functions Lesson 74: Nonlinear Functions Lesson 76: Sketching a Function Graph Lesson 77: Problem Solving 44 Comparing Functions 8.F.2, 8.EE.5 Functions Topic 8: Linear Functions Lesson 84: Comparing Two Linear Functions Systems of Linear Equations 51 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 63: 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 52 Solving Systems by Substitution 8.EE.8.b, 8.EE.8.c 53 Solving Systems by Elimination 8.EE.8.b, 8.EE.8.c 53b Activity Lab: Systems with Infinitely Many Solutions or No Solution 8.EE.8.b 54 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 62: Estimating Solutions of Linear Systems by Inspection, Part 2 Topic 6: Systems of Two Linear Equations Lesson 64: Solving Systems of Linear Equations Using Substitution Lesson 67: Problem Solving, Part 2 Topic 6: Systems of Two Linear Equations Lesson 65: Solving Systems of Linear Equations Using Addition Lesson 66: Solving Systems of Linear Equations Using Subtraction Lesson 67: Problem Solving, Part 2 Topic 6: Systems of Two Linear Equations Lesson 62: Estimating Solutions of Linear Systems by Inspection Lesson 67: Problem Solving, Part 2 Topic 6: Systems of Two Linear Equations Lesson 61: What is a System of Linear Equations in Two Variables? Lesson 63: Solving Systems of Linear Equations by Graphing Lesson 66: Solving Systems of Linear Equations Using Subtraction Lesson 67: Problem Solving Exponents 61 Scientific Notation 8.EE.3 UNIT B, Part 1 Topic 4: Scientific Notation Lesson 41: Exploring Scientific Notation Lesson 43: Using Scientific Notation to Describe Very Small Quantities Lesson 45: Problem Solving 33
37 A Correlation of Courses 1, 2 and 3, Common Core Course 3 Common Core, 2013 Grade 8 61b Activity Lab Data Analysis: Writing This objective falls outside the scope of digits. Measurements 62a Activity Lab: Exploring Exponents 8.EE.1 UNIT B, Part 1 Topic 3: Integer Exponents Lesson 33: Exponents and Multiplication 62 Exponents and Multiplication 8.EE.1 UNIT B, Part 1 Topic 3: Integer Exponents Lesson 33: Exponents and Multiplication 63 Multiplying with Scientific Notation 8.EE.4 UNIT B, Part 1 Topic 4: Scientific Notation Lesson 41: Exploring Scientific Notation Lesson 44: Operating with Numbers Expressed in Scientific Notation Lesson 45: Problem Solving 63b Activity Lab Technology: Calculations with Scientific Notation 8.EE.4 UNIT B, Part 1 Topic 4: Scientific Notation Lesson 44: Operating with Numbers Expressed in Scientific Notation Lesson 45: Problem Solving 64 Exponents and Division 8.EE.1 UNIT B, Part 1 Topic 3: Integer Exponents Lesson 34: Exponents and Division Lesson 35: Zero and Negative Exponents Lesson 37: Problem Solving 64b Activity Lab: Power Rules 8.EE.1 UNIT B, Part 1 Topic 3: Integer Exponents Lesson 33: Exponents and Multiplication 65 Dividing with Scientific Notation 8.EE.3, 8.EE.4 UNIT B, Part 1 Topic 4: Scientific Notation Lesson 44: 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 71 Pairs of Angles UNIT E Topic 11: Reasoning in Lesson 111: Angles, Lines, and Transversals Lesson 116: Problem Solving 72 Angles and Parallel Lines 8.G.5 UNIT E Topic 11: Reasoning in Lesson 111: Angles, Lines, and Transversals Lesson 112: Reasoning and Parallel Lines Lesson 116: Problem Solving 73 Congruent Figures 8.G.2 UNIT E Topic 9: Congruence Lesson 94: Congruent Figures Lesson 95: Problem Solving 74 Similar Figures 8.G.4 UNIT E Topic 10: Similarity Lesson 102: Similar Figures Lesson 104: Problem Solving 75 Proving Triangles Similar 8.G.5 UNIT E Topic 11: Reasoning in Lesson 113: Interior Angles of Triangles Lesson 115: AngleAngle Triangle Similarity 75b Activity Lab: Slope and Similar Triangles 8.EE.6 UNIT E Topic 10: Similarity Lesson 103: Relating Similar Triangles and Slope 76a Activity Lab: Angle Sums 8.G.5 UNIT E Topic 11: Reasoning in Lesson 113: Interior Angles of Triangles Lesson 114: Exterior Angles of Triangles Lesson 116: 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 113: Interior Angles of Triangles Lesson 114: Exterior Angles of Triangles Transformations 81 Translations 8.G.1.a, 8.G.1.b, 8.G.1.c, 8.G.3 82a Activity Lab Hands On: Exploring Reflections 8.G.1.a, 8.G.1.b, 8.G.1.c 82 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 91: Translations Lesson 95: Problem Solving UNIT E Topic 9: Congruence Lesson 92: Reflections Lesson 95: Problem Solving UNIT E Topic 9: Congruence Lesson 92: Reflections Lesson 95: Problem Solving UNIT E Topic 9: Congruence Lesson 93: Rotations Lesson 95: Problem Solving 83 Rotations 8.G.1.a, 8.G.1.b, 8.G.1.c, 8.G.3 UNIT E Topic 9: Congruence Lesson 93: Rotations Lesson 95: Problem Solving 84 Transformations and Congruence 8.G.2 UNIT E Topic 9: Congruence Lesson 94: Congruent Figures Lesson 95: Problem Solving 85a Activity Lab: Exploring Dilations 8.G.3, 8.G.4 UNIT E Topic 10: Similarity Lesson 101: Dilations Lesson 104: 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 101: Dilations Lesson 104: Problem Solving 85b Activity Lab Technology: Software and Dilations 8.G.3, 8.G.4 UNIT E Topic 10: Similarity Lesson 101: Dilations Lesson 104: Problem Solving 86 Transformations and Similarity 8.G.4 UNIT E Topic 10: Similarity Lesson 102: Similar Figures Lesson 103: Relating Similar Triangles and Slope Lesson 104: Problem Solving and Measurement 91 Solids UNIT E Topic 13: Surface Area and Volume Lesson 131: Surface Areas of Cylinders Lesson 132: Volumes of Cylinders Lesson 133: Surface Areas of Cones Lesson 134: Volumes of Cones Lesson 137: Problem Solving 92a Activity Lab Hands On: Modeling Volume 8.G.9 UNIT E Topic 13: Surface Area and Volume Lesson 132: Volumes of Cylinders Lesson 137: Problem Solving 92 Volumes of Prisms and Cylinders 8.G.7, 8.G.9 UNIT E Topic 13: Surface Area and Volume Lesson 132: Volumes of Cylinders Lesson 137: 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 132: Volumes of Cylinders Lesson 134: Volumes of Cones Lesson 137: Problem Solving 93 Volumes of Pyramids and Cones 8.G.9 UNIT E Topic 13: Surface Area and Volume Lesson 134: Volumes of Cones Lesson 137: Problem Solving 94 Spheres 8.G.9 UNIT E Topic 13: Surface Area and Volume Lesson 135: Surface Areas of Spheres Lesson 136: Volumes of Spheres Lesson 137: Problem Solving 95a Activity Lab: Changing Dimensions 8.G.9 UNIT E Topic 13: Surface Area and Volume Lesson 131: Surface Areas of Cylinders Lesson 132: Volumes of Cylinders Lesson 133: Surface Areas of Cones Lesson 134: Volumes of Cones Lesson 135: Surface Areas of Spheres Lesson 136: Volumes of Spheres Lesson 137: Problem Solving 95 Exploring Similar Solids 8.G.9 UNIT E Topic 13: Surface Area and Volume Lesson 131: Surface Areas of Cylinders Lesson 132: Volumes of Cylinders Lesson 134: Volumes of Cones Data Analysis 101a Activity Lab Data Collection: Scatter Plots 8.SP.1 UNIT F Statistics Topic 14: Scatter Plots Lesson 141: Interpreting a Scatter Plot Lesson 142: 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 141: Interpreting a Scatter Plot Lesson 142: Constructing a Scatter Plot 102 Analyzing Scatter Plots 8.SP.2 UNIT F Statistics Topic 14: Scatter Plots Lesson 143: Investigating Patterns  Clustering and Outliers Lesson 144: Investigating Patterns  Association Lesson 145: Linear Models  Fitting a Straight Line Lesson 146: Using the Equation of a Linear Model Lesson 147: Problem Solving 103 Modeling Data With Lines 8.SP.2, 8.SP.3 UNIT F Statistics Topic 14: Scatter Plots Lesson 145: Linear Models  Fitting a Straight Line Lesson 146: Using the Equation of a Linear Model Lesson 147: Problem Solving 104 TwoWay Tables 8.SP.4 UNIT F Statistics Topic 15: Analyzing Categorical Data Lesson 152: Constructing TwoWay Frequency Tables Lesson 153: Interpreting TwoWay Frequency Tables Lesson 154: Constructing TwoWay Relative Frequency Tables Lesson 155: Interpreting TwoWay Relative Frequency Tables Lesson 156: Choosing a Measure of Frequency Lesson 157: Problem Solving 39
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