Third Grade Curriculum Map This Curriculum Map is interactive and all the print in blue link to a hyperlink. This document can be utilized daily in your instruction. Must be in slide mode to be interactive. Formative Assessment Tools to utilize: Active Votes Plickers Socrative Kahoots enVision is our primary math resource. Additional resources are listed on the pages of this document. No one program can do it all, so please utilize the other resources available to you to ensure your students are receiving many different opportunities for success! Questions or concerns: kfboone@nrms.k12.nc.us Third Grade Math Curriculum at a Glance 20152016 First Nine Weeks August 24~October 27 Numbers & Operations in Base Ten Use place value understanding and properties of operations to perform multi-digit arithmetic. CCSS.MATH.CONTENT.3.NBT.A.1 CCSS.MATH.CONTENT.3.NBT.A.2 CCSS.MATH.CONTENT.3.NBT.A.3 Represent and solve problems involving multiplication. CCSS.MATH.CONTENT.3.OA.A.1 CCSS.MATH.CONTENT.3.OA.A.3 CCSS.MATH.CONTENT.3.OA.A.4 CCSS.MATH.CONTENT.3.OA.B.5 CCSS.MATH.CONTENT.3.OA.B.6 Multiply within 100 CCSS.MATH.CONTENT.3.OA.C.7 CCSS.MATH.CONTENT.3.OA.D.8 CCSS.MATH.CONTENT.3.OA.D.9 Understand properties of multiplication and the relationship between multiplication and division. CCSS.MATH.CONTENT.3.OA.B.5 Second Nine Weeks Third Nine Weeks October 28 – January 15 (January 20 – March 24 Benchmark Test: November Benchmark Test: March 1416-20 18 Operations and Algebraic Thinking Represent and solve problems involving multiplication and division. CCSS.MATH.CONTENT.3.OA.A.1 CCSS.MATH.CONTENT.3.OA.A.2 CCSS.MATH.CONTENT.3.OA.A.3 CCSS.MATH.CONTENT.3.OA.A.4 Understand properties of multiplication and the relationship between multiplication and division. CCSS.MATH.CONTENT.3.OA.B.5 CCSS.MATH.CONTENT.3.OA.B.6 Multiply within 100 CCSS.MATH.CONTENT.3.OA.C.7 Solve problems involving the four operations, and identify and explain patterns in arithmetic. CCSS.MATH.CONTENT.3.OA.D.8 CCSS.MATH.CONTENT.3.OA.D.9 Develop understanding of fractions as numbers. CCSS.MATH.CONTENT.3.NF.A.1 CCSS.MATH.CONTENT.3.NF.A.2 Geometric measurement: understand concepts of area and relate area to multiplication and to addition. CCSS.MATH.CONTENT.3.MD.C.5 CCSS.MATH.CONTENT.3.MD.C.5 CCSS.MATH.CONTENT.3.MD.C.5.A CCSS.MATH.CONTENT.3.MD.C.5.B CCSS.MATH.CONTENT.3.MD.C.6 CCSS.MATH.CONTENT.3.MD.C.7 CCSS.MATH.CONTENT.3.MD.C.7.A CCSS.MATH.CONTENT.3.MD.C.7.B CCSS.MATH.CONTENT.3.MD.C.7.C CCSS.MATH.CONTENT.3.MD.C.7.D Numbers and Operations Fractions CCSS.MATH.CONTENT.3.NF.A.2.A CCSS.MATH.CONTENT.3.NF.A.2.B CCSS.MATH.CONTENT.3.NF.A.3 CCSS.MATH.CONTENT.3.NF.A.3.A CCSS.MATH.CONTENT.3.NF.A.3.B CCSS.MATH.CONTENT.3.NF.A.3.C CCSS.MATH.CONTENT.3.NF.A.3.D Geometry Reason with shapes and their attributes. CCSS.MATH.CONTENT.3.G.A.1 CCSS.MATH.CONTENT.3.G.A.2 Operations and Algebraic Thinking: CCSS.MATH.CONTENT.3.OA.A.3 Solve problems involving the four operations, and identify and explain patterns in arithmetic. CCSS.MATH.CONTENT.3.OA.D.8 Measurement and Data Solve problems involving measurement and estimation. CCSS.MATH.CONTENT.3.MD.A.1 Geometric measurement: recognize perimeter. CCSS.MATH.CONTENT.3.MD.D.8 Fourth Nine Weeks April 4 – June 7 Measurement and Data Solve problems involving measurement and estimation. CCSS.MATH.CONTENT.3.MD.A.1 Solve problems involving measurement and estimation. CCSS.MATH.CONTENT.3.MD.A.2 Represent and interpret data. CCSS.MATH.CONTENT.3.MD.B.3 CCSS.MATH.CONTENT.3.MD.B.4 CCSS.MATH.CONTENT.3.MD.C.7.C Geometric measurement: understand concepts of area and relate area to multiplication and to addition. CCSS.MATH.CONTENT.3.MD.C.5 CCSS.MATH.CONTENT.3.MD.C.5 CCSS.MATH.CONTENT.3.MD.C.5.A CCSS.MATH.CONTENT.3.MD.C.5.B CCSS.MATH.CONTENT.3.MD.C.6 CCSS.MATH.CONTENT.3.MD.C.7 CCSS.MATH.CONTENT.3.MD.C.7.A CCSS.MATH.CONTENT.3.MD.C.7.B CCSS.MATH.CONTENT.3.MD.C.7.C CCSS.MATH.CONTENT.3.MD.C.7.D Geometric measurement: recognize perimeter. CCSS.MATH.CONTENT.3.MD.D.8 GeometryCCSS.MATH.CONTENT.3.G.A.2 CCSS.. Where to Focus in Third Grade Major Works (Clusters) Operations and Algebraic Thinking • • • • 3.OA.A. Represent and solve problems involving multiplication and division. 3.OA.B Understand properties of multiplication and the relationship between multiplication and division. 3.OA.C Multiply and divide within 100. 3.OA.D Solve problems involving the four operations, and identify and explain patterns in arithmetic. • Numbers and Operations; Fractions • 3.NF.A Develop understanding of fractions as • • • numbers. Measurement and Data 3.MD.A Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects. 3.MD.C Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures. Supporting/Additional Clusters Measurement and Data ∙ 3.MD.B Represent and interpret data. ∙ 3.MD.D Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures. Geometry ∙ Reason with shapes and their attributes. Numbers and Base Ten ∙ 3.NBT.A Use place value understanding and properties of operations to perform multi-digit arithmetic. Required Fluency for Third Grade ∙ Single-digit products and quotients (Products from memory by end of Grade 3) ∙ Add/subtract within 1000 Quarter One enVision Topics: 1-4 Spiral Review Powerpoint EOG Test Specifications EOG AchievmentLevels Operations and Algebraic 30-35% Number and Operations in Base Ten 5-10% Number and Operations—Fractions 20-25% Measurement and Data 22-27% Geometry 10-15% Quantile Performance Standards (reported in Quantile® measures) Limited Command Partial Command 425Q and Below 430Q to 605Q Sufficient Command 610Q to 675Q Number and Operations in Base Ten ~Use place value understanding and properties of operations to perform multi-digit arithmetic.¹ Topic 1 ~Numeration Solid Command Superior Command 680Q to 880Q 885Q and Above Curriculum Resources enVision Login Unpacking Documents NCDPI WIKI Discovery Education K-5 Resources NRMS Math Wiki i-Ready Teacher Toolbox NCAD-MY-S328 LearnZillion Google Drive with Resources by Domains and Standards Vocabulary for Word Wall Quantile Teacher Assistant Tools 1-1~ Represent Numbers 1-2 ~ Understanding Number Lines 1-3 ~ Counting on the Number Line 1-4 ~ Finding the Halfway Number 1-5 ~ Rounding 1-6 ~ More Rounding 1-7 ~ Problem Solving: Make an Organized List Exemplar Lesson " Place Value and the Number Line" 3.NBT.A.1 3.NBT.A.2 Introduction of Math Talk ~Center Tools 8 Math Practices Quarter One enVision Topics:1-4 Number and Operations in Base Ten ~Use place value understanding and properties of operations to perform multi-digit arithmetic.¹ Topic 2 ~ Number Sense: Addition and Subtraction 2-1 ~ Addition Meaning and Properties 3.NBT.A.2 3.OA.D.9 2-2~ Subtraction Meanings 2-3 ~ Using Mental Math to Add 2-4 ~ Using Mental Math to Subtract 3.NBT.A.2 2-5~ Estimating Sums 2-6 ~ Estimating Differences 3.NBT.A.1 3.NBT.A.2 2-7 ~ Problem Solving: Reasonableness 3.NBT.A.2 3.OA.D.8 Topic 3~ Using Place Value to Add and Subtract 3-1 ~ Adding with an Expanded 3-2 ~ Models for Adding 3 - Digit Numbers 3-3~ Adding 3-Digit Numbers 3-4 ~ Adding 3 or More Number 3-5 ~ Problem Solving: Draw a Picture 3-6 ~ Subtracting with and Expanded Algorithm 3-7 ~ Models for Subtracting 3-Digits Numbers 3-8 ~ Subtracting 3-Digit Numbers 3-9 ~ Subtracting Across Zero 3-10 ~ Making Sense of Addition Equations 3-11 ~ Making Sense of Subtraction Equations 3-12 ~ Adding and Subtracting 3-13 ~ Problem Solving: Draw a Picture and Write a Number Sentence 3.NBT.A.1 3.NBT.A.2 NCDPI TASK NBT Quarter One enVision Topics:1-4 Operations and Algebraic Thinking ~ Represent and solve problems involving multiplication and division. ~Understand properties of multiplication and the relationship between multiplication and division. Topic 4 ~ Meanings of Multiplication 4-1 ~ Multiplication as Repeated Addition 4-2 ~ Arrays and Multiplication 4-3 ~ The Commutative Property 4-4 ~ Writing Multiplication Stories 3.OA.A.1 3.OA.A.3 3.OA.B.5 4-5 ~ Problem Solving: Writing to Explain 3.OA.D.9 Exemplar Lesson 3.OA.1 Moving Along with Talk Exemplar Lesson NCDPI TASK OA Quarter Two enVision Topics: 5-8 & 14 Benchmark November 16-20 EOG Test Specifications EOG AchievmentLevels Operations & Algebraic Thinking Operations and Algebraic 30-35% Number and Operations in Base Ten 5-10% Number and Operations—Fractions 20-25% Measurement and Data 22-27% Geometry 10-15% Quantile Performance Standards (reported in Quantile® measures) ~Represent and solve problems involving multiplication and division. ~Understand properties of multiplication and the relationship between multiplication and division. ~Multiply and divide within 100. Limited Command Partial Command 425Q and Below 430Q to 605Q Sufficient Command 610Q to 675Q Solid Command Superior Command 680Q to 880Q 885Q and Above Curriculum Resources enVision Login Unpacking Documents NCDPI WIKI Discovery Education K-5 Resources NRMS Math Wiki i-Ready Teacher Toolbox NCAD-MY-S328 LearnZillion Google Drive with Resources by Domains and Standards Vocabulary for Word Wall Quantile Teacher Assistant Tools ~Solve problems involving the four operations, and identify and explain patterns in arithmetic. Topic 5~ Multiplication Facts: Use Patterns 5-1 ~ 2 and 5 as Factors 5-2 ~ 9 as a Factor 5-3 ~ Multiplying with 0 and 1 5-4 ~ Patterns for Facts 3.OA.A.3 3.OA.C.7 3.OA.D.9 5-5 ~ 10 as a Factor 5-6 ~ Multiplying by Multiples of 10 3.NBT.A.3 5-7 ~ Problem Solving: Two-Question Problems Quarter Two enVision Topics: 5-8 &14 Operations & Algebraic Thinking Operations & Algebraic Thinking Topic 6~ Multiplication Facts: Use Known Facts ~Represent and solve problems involving multiplication and division. 6-1 ~ The Distributive Property 6-2 ~ 3 as a Factor 6-3 ~ 4 as a Factor 6-4 ~ 6 and 7 as Factors 6-5 ~ 8 as a Factor 3.OA.A.3 3.OA.B.5 6-6 ~ Multiplying with 3 Factors 3.OA.A.3 3.OA.B.5 3.OA.D.8 6-7 ~ Multiplication Facts 6-8 ~ Multiplying to Find Combinations 3.OA.A.3 6-9 ~ Problem Solving: Multiple-Step Problems 3.OA.D.8 EXEMPLAR LESSON 3.OA.D.8 Topic 7 Meaning of Division 7-1 ~ Division of Sharing 7-2 ~ Division as Repeated Subtraction 3.OA.A.2 3.OA.A.3 3.OA.A.4 7-3 ~ Finding Missing Numbers in a Multiplication Table 3.OA.A.4 3.OA.B.6 3.OA.D.9 7-4 ~ Problem Solving: Choose and Appropriate Equation 3.OA.A.3 3.OA.A.4 3.OA.B.6 7-5 ~ Writing Division Stories 3.OA.A.3 3.OA.A.4 7-6 ~ Problem Solving: Use Objects and Draw a Picture 3.OA.A.4 3.OA.B.6 3.OA.D.8 Quarter Two enVision Topics: 5-8 & 14 Operations & Algebraic Thinking Measurement and Data Topic 8 ~ Division Facts ~ Geometric measurement: understand concepts of area and relate area to multiplication and to addition. 8-1 ~ Relating Multiplication and Division 8-2 ~ Fact Families with 2,3,4,and 5 8-3 ~ Fact Families with 6& 7 8-4 ~ Fact FAmi8lies with 8 & 9 3.OA.A.3 3.OA.A.4 3.OA.B.6 3.OA.C.7 8-5 ~ Problem Solving: Multiple-Step Problems 3.OA.D.8 3.OA.A.3 3.OA.A.4 8-6 ~ Making Sense of Multiplication and Division Equations 8-7 ~ DIVIDING WITH 0 AND 1 8-8 ~ MULTIPLICATION AND DIVISION FACTS 8-9 ~ PROBLEM SOLVING: DRAW A PICTURE AND WRITE A NUMBER SENTENCE. 3.OA.A.3 3.OA.A.4 3.OA.C.7 3.OA.B.5 Journal Activity Topic 14 ~ Area (14-1 through 14-6) 14-1 ~ Covering Regions 14-2 ~ Area and Units 14-3 ~ Standard Units 14-4 ~ Area of Squares and Rectangles 14-5 ~ Area and the Distributive Property 14- 6 ~ Problem Solving: Solve a Simpler Problem 3.MD.C.5 3.MD.C.5.A 3.MD.C.5.B 3.MD.C.6 3.MD.C.7 3.MD.C.7.A 3.MD.C.7.B 3.MD.C.7.C 3.MD.C.7.D NCDPI Task MD Quarter Three enVision Topics: 9-12 Spiral Review Powerpoint EOG Test Specifications EOG AchievmentLevels Operations and Algebraic 30-35% Number and Operations in Base Ten 5-10% Number and Operations—Fractions 20-25% Measurement and Data 22-27% Geometry 10-15% Quantile Performance Standards (reported in Quantile® measures) Limited Command Partial Command 425Q and Below 430Q to 605Q Sufficient Command 610Q to 675Q Number & Operations—Fractions¹ ~ Develop understanding of fractions as numbers. Topic 9 Understanding Fractions Solid Command Superior Command 680Q to 880Q 885Q and Above Curriculum Resources enVision Login Unpacking Documents NCDPI WIKI Discovery Education K-5 Resources NRMS Math Wiki i-Ready Teacher Toolbox NCAD-MY-S328 LearnZillion Google Drive with Resources by Domains and Standards Vocabulary for Word Wall Quantile Teacher Assistant Tools 9-1 ~ Dividing Regions into Equal Parts 9-2 ~ Fractions and Regions 9-3 ~ Fractions and Sets 9-4 ~ Fractional Parts of a Set 3.NF.A.1 9-5 ~ Fraction Number Lines 9-6 ~ Locating Fractions on the Number Line 9-7 ~ Fractions and Length 9-8 ~ Problem Solving Writing to Explain 3.NF.A.2.A 3.NF.A.2.B 3.NF.A.3.C Journal Assessment; "I Want Some Candy" Journal Activity Quarter Three enVision Topics:9-12 Topic 10 ~ Fraction Comparison and Equivalence 10-1 ~ Using Models to Compare Fractions: Same Denominator 10-2 ~ Using Models to Compare Fractions: Same Numerator 10-3 ~ Using Fractions 10-4 ~ Comparing Fractions on the Number Line 10- 5 ~ Finding Equivalent Fractions 10-6 ~ Equivalent Fractions and the Number Line 10-7 ~ Whole Numbers and Fractions 3.NF.A.3.A 3.NF.A.3.B 3.NF.A.3.C 3.NF.A.3.D 10-8 ~ Problem Solving: Draw a Picture: 3.NF.A.2.A 3.OA.C.7 Exemplar Lesson for 3.NF.1 NCDPI Task NF Geometry ~Reason with shapes and their attributes. Topic 11 ~ Two-Dimensional Shapes and Their Attributes 11-1 ~ Polygons 11-2 ~ Quadrilaterals 11-3 ~ Classifying Shapes 11-4 ~ Problem Solving: Solve a Simpler Problem 3.G.A.1 11-5 ~ Problem Solving: Make and Test Generalizations 3.MD.C.7.D Topic 12 12-1 ~ Time to the Half-Hour and Quarter Hour 12-2 ~ Time to the Minute 12-3 ~ Elapsed Time 12-4 ~ Problem Solving: Work Backward 3.MD.A.1 Quarter Four enVision Topics: 13, 14 -16 EOG Test Specifications EOG AchievmentLevels Operations and Algebraic 30-35% Number and Operations in Base Ten 5-10% Number and Operations—Fractions 20-25% Measurement and Data 22-27% Geometry 10-15% Quantile Performance Standards (reported in Quantile® measures) Limited Command Partial Command 425Q and Below 430Q to 605Q Sufficient Command 610Q to 675Q ~Geometric measurement: recognize perimeter. Topic 13 ~ Perimeter Solid Command Superior Command 680Q to 880Q 885Q and Above Curriculum Resources enVision Login Unpacking Documents NCDPI WIKI Discovery Education K-5 Resources NRMS Math Wiki i-Ready Teacher Toolbox NCAD-MY-S328 LearnZillion Google Drive with Resources by Domains and Standards Vocabulary for Word Wall Quantile Teacher Assistant Tools NCDPI Task MD Measurement and Data 13-1 ~ Understanding Perimeter 13-2 ~ Perimeter of Common Shapes 13-3 ~ Perimeter and Unknown Shapes 13-4 ~ Different Shapes with the Same Perimeter 13-5 ~ Problem Solving: Solve a Simpler Problem and Make a Table 3.MD.D.8 Topic 14 14-7 ~ Area of Irregular Shapes 14-8 ~ Different Area, Same Perimeter 14-9 ~ Same Area, Different Perimeter 3.MD.C.7 3.MD.C.7.A 3.MD.C.7.B 3.MD.C.7.D 3.MD.D.8 14-10 ~ Equal Areas and Fractions 3.G.A.2 14-11 ~ Problem Solving : Selecting Appropriate Quarter Four enVision Topics: 13, 14 -16 Measurement and Data ~Solve problems involving measurement and estimation. Topic 15 ~ Liquid Volume and Mass 15-1 ~ Metric Units of Capacity 15-2 ~ Measuring Capacity 15-3~ Units of Mass 15-4 ~ Measuring 15-5 ~ Problem Solving: Draw a Picture 3.MD.A.2 Measurement and Data ~Represent and Interpret Data Topic 16 ~ Data 16-1 ~ Line Plots 16-2 ~ Length and Line Plots 16-3 ~ Reading Pictographs and Bar Graphs 16-4 ~ Making Pictographs 16-5 ~ Making Bar Graphs 16-6 ~ Problem Solving: Use Tables and Graphs to Draw Conclusions 3.MD.B.3 3.MD.B.4 Exemplar Lesson for 3.MD.3 rd 3 Grade Word Wall *Click on the link above to access vocabulary cards Tools for the 8 Mathematical Math Practices *Click on the link above to access the practices enVision Math CC 4 Part Lesson Plan I can statement : Math Planning Document 90 minutes I can statement for MP # ~ Vocabulary: Standard: 1~ Spiral Review ~ Daily Common Core Review: (Students should begin as they arrive) 2 ~ Problem Based ~ Interactive Learning ~ Problem of the Day: 5-10 min 3 ~ Whole- Group Instruction: Develop the Concept: Visual/Abstract: 15 min 4 ~ Rotations 5 ~ Debrief Lesson as a whole group~ Discuss Centers~ Groups ~Summarize “BIG IDEAS” Reinforce mathematical takeaways~ Complete Quick Check (last 10 minutes) Small Group Instruction: Differentiated by Data ~ Quantiles Centers: 2 Rotations (25 minutes) ❖Hot Topics Review Center ~ Fluency: ❖ Technology ~ i-Ready (Every week ) ❖Problem Solving ~ Task (Every week ) ❖Vocabulary ~ Math Journal ❖Games ~ Lessons for Learning ❖Response to Literature ❖ Student Choice Group 1: Non-proficient students Teacher Group: Meet Monday ~ Wednesday Group 2: Strategic need students Teacher Group: Meet Tuesday and Thursday Group 3: On/ Above Grade Level Teacher Group: Meet Friday I can statement : Math Planning Document 60 minutes I can statement for MP # ~ Vocabulary: Standard: 1~ Spiral Review ~ Daily Common Core Review: (Students should begin as they arrive) 2 ~ Problem Based ~ Interactive Learning ~ Problem of the Day: 5-10 min 3 ~ Whole- Group Instruction: Develop the Concept: Visual/Abstract: 15 min 4 ~ Rotation 5 ~ Debrief Lesson as a whole group~ Discuss Centers~ Groups ~Summarize “BIG IDEAS” Reinforce mathematical takeaways~ Complete Quick Check (last 10 minutes) Small Group Instruction: Differentiated by Data ~ Quantiles Centers: One Rotation (25 minutes) ❖Hot Topics Spiral Review Center ❖ Technology ~ i-Ready (Every week ) ❖Problem Solving ~ Task (Every week ) ❖Vocabulary ❖ Math Journal ❖Games ~ enVision ~NCDPI ❖Response to Literature ❖Student Choice Group 1: Non-proficient students Teacher Group: Meet Monday ~ Wednesday Group 2: Strategic need students Teacher Group: Meet Tuesday and Thursday Group 3: On/ Above Grade Level Teacher Group: Meet Friday Subtraction Structures Addition Structures Division Structures Multiplication Structures •TIER 3: Intensive Intervention Students who are two or more years Behind grade level Setting: Special Ed, Title I, Pull Out/Push In, After School, or Summer School •TIER 2: Targeted Group Intervention Students who are a year behind and struggling To move forward. Setting: Title I, Pull Out/Push In, After School, or Summer School •TIER 1: High Quality Instruction •Students who are at risk of falling behind in The current year’s content Setting: Prevention in Whole-Class or Small Group