Pacing for Common Core This Pacing Guide is provided to help with planning as you implement the Common Core State with envisionmath 2009/2011. The guide indicates the for Mathematical Content that each lesson addresses and suggests pacing for each topic. Included in the guide are references to off-grade level of Mathematical Content to help you become familiar with the content shifts of Common Core. Additional lessons, indicated by a capital letter after the number, offer in-depth coverage of certain standards. These lessons, in addition to the lessons in envisionmath 2009/2011 provide complete coverage of all of the Common Core State for Grade 3. The suggested number of days for each topic is based on a 60-minute class period. The total of 160 days of instruction allows time for all of the lessons that address the Common Core State as well as some review and enrichment lessons. 4 Content to meet the Grade 3 Common Core State l Content from earlier years to review and practice s Content to prepare for future study or to enrich the curriculum Topic 1 Numeration 7 13 DAYS 1-1 Hundreds l Review 2.NBT.1 1-2 Thousands s Prepares for 4.NBT.1 1-3 Greater Numbers l Prepares for 3.NBT.1, 3.NBT.2 1-4 Ways to Name Numbers s Prepares for 4.NBT.2 1-5A Understanding Number Lines 4 3.NBT.1 1-5B Counting on the Number Line 4 3.NBT.1 1-5 Comparing Numbers 4 3.NBT.1 1-6 Ordering Numbers 4 3.NBT.1 1-7 Counting Money l Reviews 2.MD.8 1-8 Making Change l Reviews 2.MD.8 1-9 Problem Solving: Make an Organized List 4 3.NBT.1 Topic 2 Adding Whole Numbers 11 13 DAYS 2-1 Addition Meaning and Properties 4 3.OA.9, 3.NBT.2 2-2 Adding on a Hundred Chart 4 3.OA.9 2-3 Using Mental Math to Add l Prepares for 3.NBT.2 2-4 Rounding 4 3.NBT.1 2-5 Estimating Sums l Prepares for 3.NBT.2 16 Transitioning to Common Core with envisionmath
Topic 2 Adding Whole Numbers 11 13 DAYS 2-6 Adding 2-Digit Numbers 4 3.NBT.2 2-7A Adding with an Expanded Algorithm 4 3.NBT.2 2-7 Models for Adding 3-Digit Numbers 4 3.NBT.2 2-8 Adding 3-Digit Numbers 4 3.OA.8, 3.NBT.1, 3.NBT.2 2-9 Adding 3 or More Numbers 4 3.OA.8, 3.NBT.2 2-10 Problem Solving: Draw a Picture 4 3.OA.8, 3.NBT.2, 3.MD.3 Topic 3 Subtraction Number Sense 3-1 Subtraction Meanings l Reviews 2.OA.5, 2.NBT.5 3-2 Subtracting on a Hundred Chart l Reviews 2.OA.5 3-3 Using Mental Math to Subtract l Prepares for 3.NBT.2 3-4 Estimating Differences l Prepares for 2.NBT.2 3-5 Problem Solving: Reasonableness 4 3.OA.8, 3.NBT.2 Topic 4 Subtracting Whole Numbers to Solve Problems 4-1A Making Sense of Addition and Subtraction Equations 4 3.NBT.2 4-1 Models for Subtracting 2-Digit Numbers 4 3.NBT.2 4-2 Subtracting 2-Digit Numbers 4 3.NBT.2 4-3A Subtracting with an Expanded Algorithm 4 3.NBT.2 4-3 Models for Subtracting 3-Digit Numbers 4 3.OA.8, 3.NBT.2 4-4 Subtracting 3-Digit Numbers 4 3.OA.8, 3.NBT.2 4-5 Subtracting Across Zero 4 3.NBT.2 4-6 Problem Solving: Draw a Picture and Write a Number Sentence 4 3.OA.8, 3.NBT.1, 3.MD.3 Topic 5 Multiplication Meanings and Facts 3 7 DAYS 9 DAYS 13 DAYS 5-1 Multiplication as Repeated Addition 4 3.OA.1, 3.OA.3, 3.OA.5 5-2 Arrays and Multiplication 4 3.OA.1, 3.OA.3, 3.OA.4, 3.OA.5, 3.OA.9, 3.MD.7.b 5-3 Using Multiplication to Compare 4 3.OA.1, 3.OA.3 5-4 Writing Multiplication Stories 4 3.OA.1, 3.OA.3, 3.OA.5 5-5 Problem Solving: Writing to Explain 4 3.OA.1, 3.OA.3, 3.OA.5, 3.OA.9 Transitioning to Common Core with envisionmath 17
Topic 5 Multiplication Meanings and Facts 13 DAYS 5-6 2 and 5 as Factors 4 3.OA.3, 3.OA.9 5-7 10 as a Factor 4 3.OA.3, 3.OA.8, 3.OA.9, 3.NBT.3 5-8A Multiplying by Multiples of 10 4 3.NBT.3 5-8 9 as a Factor 4 3.OA.3, 3.OA.7, 3.OA.8, 3.OA.9 5-9 Multiplying with 0 and 1 4 3.OA.3, 3.OA.9 5-10 Problem Solving: Two-Question Problems 4 3.OA.3, 3.OA.8 Topic 6 Multiplication Fact Strategies: Use Known Facts 6-1A The Distributive Property 4 3.OA.3 6-1 3 as a Factor 4 3.OA.3, 3.OA.8, 3.MD.7.c 6-2 4 as a Factor 4 3.OA.3, 3.OA.5, 3.OA.8, 3.MD.7.c 6-3 6 and 7 as Factors 4 3.OA.3, 3.OA.8, 3.MD.7.c 6-4 8 as a Factor 4 3.OA.3, 3.MD.7.c 6-5 11 and 12 as Factors 4 3.OA.1, 3.OA.3, 3.OA.9 6-6 Multiplying with 3 Factors 4 3.OA.3, 3.OA.5 6-7A Multiplying to Find Combinations 4 3.OA.3 6-7 Problem Solving: Multiple-Step Problems 4 3.OA.3, 3.OA.8, 3.MD.8 Topic 7 Division Meanings 11 DAYS 9 DAYS 7-1 Division as Sharing 4 3.OA.2, 3.OA.3, 3.OA.4 7-2A Finding Missing Numbers in a Multiplication Table 4 3.OA.4, 3.OA.6 7-2 Understanding Remainders 4 3.OA.2, 3.OA.3 7-3 Division as Repeated Subtraction 4 3.OA.2, 3.OA.3, 3.OA.4 7-4A Problem Solving: Choose an Appropriate Equation 4 3.OA.4, 3.OA.6 7-4 Writing Division Stories 4 3.OA.3, 3.OA.4 7-5 Problem Solving: Use Objects and Draw a Picture 4 3.OA.3, 3.OA.4, 3.OA.6 18 Transitioning to Common Core with envisionmath
Topic 8 Division Facts 9 DAYS 8-1 Relating Multiplication and Division 4 3.OA.3, 3.OA.4, 3.OA.7 8-2 Fact Families with 2, 3, 4, and 5 4 3.OA.2, 3.OA.3, 3.OA.4, 3.OA.6, 3.OA.7 8-3 Fact Families with 6 and 7 4 3.OA.3, 3.OA.6, 3.OA.7 8-4 Fact Families with 8 and 9 4 3.OA.3, 3.OA.6, 3.OA.7 8-5A Making Sense of Multiplication and Division Equations 4 3.OA.3, 3.OA.4 8-5 Dividing with 0 and 1 4 3.OA.3, 3.OA.4 8-6 Problem Solving: Draw a Picture and Write a Number Sentence 4 3.OA.3 Topic 9 Patterns and Relationships 6 10 DAYS 9-1 Repeating Patterns 4 3.OA.9 9-2 Number Sequences 4 3.OA.9 9-3 Extending Tables 4 3.OA.9 9-4 Writing Rules for Situations s Extends 3.OA.9 9-5 Translating Words to Expressions s Extends 3.OA.9 9-6 Geometric Patterns 4 3.OA.9 9-7 Equal or Unequal s 9-8 Problem Solving: Act It Out and Use Reasoning s Transitioning to Common Core with envisionmath 19
Topic 10 Solids and Shapes 8 12 DAYS 10-1 Solid Figures l Reviews 1.G.2 10-2 Relating Solids and Shapes l Reviews 1.G.2 10-3 Lines and Line Segments s Prepares for 4.G.1 10-4 Angles s Prepares for 4.G.1 10-5 Polygons 4 3.G.1 10-6 Triangles 4 3.G.1 10-7 Quadrilaterals 4 3.G.1 10-8A Combining and Separating Shapes 4 3.G.1, 3.G.2 10-8B Making New Shapes 4 3.G.1, 3.G.2 10-8 Problem Solving: Make and Test Generalizations 4 3.G.1 Topic 11 Congruence and Symmetry 0 6 DAYS 11-1 Congruent Figures and Motion s 11-2 Line Symmetry s 11-3 Drawing Shapes with Lines of Symmetry s 11-4 Problem Solving: Use Objects s 20 Transitioning to Common Core with envisionmath
Topic 12 Understanding Fractions 12-1 Dividing Regions into Equal Parts 4 3.NF.1, 3.G.2 12-2A Fractions and Regions (Replaces Lesson 12-2) 12-2 Fractions and Regions 4 3.NF.1 12-3 Fractions and Sets 4 3.NF.1 12-4 Benchmark Fractions 4 3.NF.2.a 12-5A Comparing Fractions Using Benchmarks 4 3.NF.3.d 12-5 Finding Equivalent Fractions 4 3.NF.3, 3.NF.3.a, 3.NF.3.b 12-6 Using Models to Compare Fractions 4 3.NF.3, 3.NF.3.a, 3.NF.3.b 12-7A Using Models to Compare Fractions: Same Numerator 4 3.NF.3.a, 3.NF.3.d 12-7B Comparing Fractions on the Number Line 4 3.NF.3.a, 3.NF.3.d 12-7 Fractions on the Number Line 4 3.NF.2, 3.NF.2.a, 3.NF.2.b, 3.NF.3.a 12-8A Equivalent Fractions and the Number line 4 3.NF.3.a, 3.NF.3.b, 3.NF.3.c 12-8B Whole Numbers and Fractions 4 3.NF.3.c 12-8 Using Models to Add Fractions s Prepares for 4.NF.3.a 12-9 Using Models to Subtract Fractions s Prepares for 4.NF.3.a 12-10 Problem Solving: Make a Table and Look for a Pattern 4 3.OA.3 Topic 13 Decimals and Money 15 17 DAYS 0 7 DAYS 13-1 Fractions and Decimals s Prepares for 4.NF.5 13-2 Using Money to Understand Decimals s Prepares for 4.NF.6 13-3 Adding and Subtracting Money s Prepares for 5.NF.7 13-4 Problem Solving: Draw a Picture and Write a Number Sentence s Prepares for 5.NF.7 13-5 Problem Solving: Missing or Extra Information s Prepares for 5.NF.7 Transitioning to Common Core with envisionmath 21
Topic 14 Customary Measurement 7 8 DAYS 14-1 Understanding Measurement l Prepares for 3.MD.2 14-2 Fractions of an Inch 4 3.MD.4 14-3 Using Inches, Feet, Yards, and Miles 4 3.MD.2 14-4 Customary Units of Capacity 4 3.MD.2 14-5 Units of Weight 4 3.MD.2 14-6 Problem Solving: Act It Out and Use Reasoning 4 3.MD.2 Topic 15 Metric Measurement 15-1 Using Centimeters and Decimeters 4 3.MD.2 15-2 Using Meters and Kilometers 4 3.MD.2 15-3 Metric Units of Capacity 4 3.MD.2 15-4 Units of Mass 4 3.MD.2 15-5A Problem Solving: Draw a Picture 4 3.MD.2 15-5 Problem Solving: Make a Table and Look for a Pattern 4 3.OA.9 Topic 16 Perimeter, Area, and Volume 16-1 Understanding Perimeter 4 3.MD.8 16-2A Tools and Units for Perimeter 4 3.MD.8 16-2 Perimeter of Common Shapes 4 3.MD.8 16-3 Different Shapes with the Same Perimeter 4 3.MD.8 16-4 Problem Solving: Try, Check, and Revise 4 3.NBT.2 16-5 Understanding Area (Replace with Lessons 16-6A and 16-6B) 8 DAYS 15 16 DAYS 16-6A Covering Regions 4 3.MD.5, 3.MD.6 16-6B Area and Units 4 3.MD.5.a, 3.MD.5.b 16-6 Estimating and Measuring Area 4 3.MD.6, 3.MD.7 16-7A Area of Squares and Rectangles 4 3.MD.7.a, 3.MD.7.b 16-7B Area and the Distributive Property 4 3.MD.7.c 16-7C Area of Irregular Shapes 4 3.MD.7.d 16-7D Equal Areas and Fractions 4 3.MD.5, 3.G.2 16-7 Volume s Prepares for 5.MD.3 16-8 Problem Solving: Solve a Simpler Problem 4 3.MD.7; 3.MD.7.b; 3.MD.7.d 22 Transitioning to Common Core with envisionmath
Topic 17 Time and Temperature 7 8 DAYS 17-1 Time to the Half Hour and Quarter Hour 4 3.MD.1 17-2 Time to the Minute 4 3.MD.1 17-3 Units of Time 4 3.MD.1 17-4 Elapsed Time 4 3.MD.1 17-5 Temperature s 17-6 Problem Solving: Work Backward 4 3.MD.1 Topic 18 Multiplying Greater Numbers 8 9 DAYS 18-1 Using Mental Math to Multiply 4 3.NBT.3 18-2 Estimating Products 4 3.OA.1 18-3 Multiplication and Arrays l Prepares for 3.MD.7 18-4 Breaking Apart to Multiply 4 3.OA.5 18-5 Using an Expanded Algorithm 4 3.OA.5 18-6 Multiplying 2- and 3-Digit by 1-Digit Numbers 4 3.OA.3, 3.OA.7 18-7 Problem Solving: Draw a Picture and Write a Number Sentence 4 3.OA.3 Topic 19 Dividing with 1-Digit Numbers 6 8 DAYS 19-1 Mental Math 4 3.OA.6 19-2 Estimating Quotients l Prepares for 3.OA.7 19-3 Connecting Models and Symbols 4 3.OA.2 19-4 Dividing 2-Digit Numbers 4 3.OA.7 19-5 Dividing with Remainders s Prepares for 4.OA.3 19-6 Problem Solving: Multiple-Step Problems 4 3.OA.8 Transitioning to Common Core with envisionmath 23
Topic 20 Data, Graphs, and Probability 7 12 DAYS 20-1 Organizing Data s 20-2 Reading Pictographs and Bar Graphs 4 3.MD.3 20-3 Making Pictographs 4 3.MD.3 20-4 Making Bar Graphs 4 3.MD.3 20-5 Ordered Pairs and Line Graphs s 20-6 How Likely? s 20-7 Outcomes and Experiments s 20-8 Line Plots and Probability s Extends 3.MD.4 20-9A Length and Line Plots 4 3.MD.4 20-9 Problem Solving: Use Tables and Graphs to Draw Conclusions 4 3.MD.3 24 Transitioning to Common Core with envisionmath