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Math: Unit 3 UNIT TITLE: Multiply 2-Digit Numbers Grade: 4 Domain: Operations and Algebraic Thinking (CC.4.OA) Number and Operations in Base Ten (CC.4.NBT) Suggested Pacing 6 days 11/12/2015 – 12/20/2015 Stage 1 – Desired Result Established Goals/Unit Outcome Highest Level of Understanding: Use a variety of strategies and models to multiply 2-digit numbers Use the strategy “Draw a Diagram” to solve multistep problems Average Level of Understanding: Use place value and multiplication properties to multiply by tens Most Essential Level of Understanding: Estimate products by rounding or by using compatible numbers Common Core Learning Standards: 4.NBT.5 Use place value understanding and properties of operations to perform multi-digit arithmetic. Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 4.OA.3 Use the four operations with whole numbers to solve problems. Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. Mathematical Practices: MP.4 Model with mathematics MP.8 Look for and express regularity in repeated reasoning Essential Questions: What strategies can you use to multiply 2-digit numbers? (OVERALL) What strategies can you use to multiply by tens? (lesson 3.1, CC.4.NBT.5) What strategies can you use to estimate products? (lesson 3.2, CC.4.NBT.5) How can you use area models and partial products to multiply 2-digit numbers? (lesson 3.3, CC.4.NBT.5) How can you use place value and partial products to multiply 2-digit numbers? (lesson 3.4, CC.4.NBT.5) How can you use regrouping to multiply 2-digit numbers? (lesson 3.5, CC.4.NBT.5) How can you find and record products of 2-digit numbers? (lesson 3.6, CC.4.NBT.5) How can you use the strategy Draw a Diagram to solve multi-step multiplication problems? (lesson 3.7, CC.4.OA.3) Content: Skills: How to use properties of multiplication to solve problems Find products like 60 x 700 How to multiply by multiples of 10, 100 and 1000 Estimate products like 13 x ,714 How to use rounding to estimate products Use the distributive property to solve multiplication problems like 26 x 37 How to use the distributive property to find the product of two numbers Multiply numbers like 36 x 14 How to multiply by 2-digit numbers Terms / Vocabulary: Associative property of multiplication Factor Place value Product Compatible numbers Estimate lesson 3.2 Round Partial product (lesson 3.3) Commutative property of multiplication Regroup lesson 3.1 Materials: MathBoard Counting tape Colored pencils lesson 3.5 Stage 2 – Assessment Evidence Performance Task: Diagnostic: Show What You Know pg. 99-100 Formative: Mid-Chapter Checklist pg. 117-118 Summative: Review/Test pg. 131-134 Updated for 2015-2016 School-Year Stage 3 – Learning Plan Chapter 3: Multiply 2-Digit Numbers Standard CC.4.NBT.5 Go Math Lesson Objective Lesson 3.1: Multiply by Tens Essential Questions What strategies can you use to multiply by tens? Vocabulary CC.4.NBT.5 Lesson 3.2: Estimate Products What strategies can you use to estimate products? Materials Associative Property of Multiplication factor place value product MathBoard, Counting Tape compatible numbers estimate round MathBoard Counting Tape Assessment Differentiation Quick Check 4&5 Reteach: Multiply by Tens Lesson 3.3: Investigate: Area Models and Partial Products How can you use area models and partial products to multiply 2-digit numbers? partial product My Math 5.1: Multiply by Tens Enrich: Multiply with Tens Quick Check 3&4 Reteach: Estimate Products Enrich: Decode the Message CC.4.NBT.5 Supplemental/ Substitute Lessons MathBoard color pencils Counting Tape Quick Check 3&5 Reteach: Area Models and Partial Products Enrich: The Lattice Method My Math 5.2: Estimate Products CC.4.NBT.5 CC.4.NBT.5 Lesson 3.4: Multiply Using Partial Products Lesson 3.5: Multiply with Regrouping How can you use place value and partial products to multiply 2-digit numbers? estimate round How can you use regrouping to multiply 2-digit numbers? MathBoard Counting Tape Quick Check 4&5 Mid-Chapter Checkpoint Commutative Property of Multiplication regroup MathBoard Counting Tape Quick Check 3&4 Reteach: Multiply Using Partial Products Enrich: Reverse and Record Reteach: Multiply with Regrouping My Math 4.8: Multiply with Regrouping Enrich: Multiplication Mystery CC.4.NBT.5 Lesson 3.6: Choose a Multiplication Method How can you find and record products of two 2-digit numbers? MathBoard Counting Tape Quick Check 4&5 Reteach: Choose a Multiplication Method Enrich: Product Pairs CC.4.OA.3 Lesson 3.7: Problem Solving: Multiply 2-Digit Numbers How can you use the strategy draw a diagram to solve multistep multiplication problems? MathBoard Counting Tape Quick Check 3&4 Reteach: Problem Solving: Multiply 2-Digit Numbers Enrich: Pastry Chef’s Problem My Math 5.3: Multiply by a TwoDigit Number My Math 5.4: Multiply by a TwoDigit Number Math Step 3.10, 3.1 Multiply by 2-Digit Numbers, Properties of Multiplication Literacy Connections: Go Math Readers: Multiplying a Good Deed Putting the World on a Page Differentiated Instruction Grab-and-Go Differentiated Center Kits Games: Multiplication Marathon Triangle Products Library Books: Is a Blue Whale the Biggest Thing There is? by Robert E. Wells Minnie’s Diner: A Multiplying Menu by Dayle Ann Dodds and John Manders Multiplication Made Easy by Rebecca Wingard-Nelson Activities: Card 3 Roomy Dimensions Card 5 First One Out Product Power Go Math Intervention Activities (ELLs, RTI, and SWDs): ELLs Strategy: Model Concepts (lesson 3.6 page 123B) Strategy: Describe (lesson 3.4 page 113B) Strategy: Rephrase (lesson 3.1 page 101B; lesson 3.5 page 119B; lesson 3.7 page 127B) Strategy: Identify Patterns (lesson 3.3 page 109B) Strategy: Creative Grouping (lesson 3.2 page 105B) RTI Lesson 3.1: Tier : Logical/Mathematical (Whole Class/Small Group) Pg. 101B Tier 2: Kinesthetic (Small Group) Pg. 101B Lesson 3.2: Tier : Logical/Mathematical (Whole Class/Small Group) Pg. 105B Tier 2: Logical/Mathematical (Small Group) Pg. 105B Lesson 3.3: Tier : Visual (Whole Class/Small Group) Pg. 109B Tier 2: Visual/Kinesthetic (Small Group) Pg. 109B Lesson 3.4: Tier : Visual (Whole Class/Small Group) Pg. 113B Tier 2: Visual/Kinesthetic (Small Group) Pg. 113B Lesson 3.5: Tier : Kinesthetic (Whole Class/Small Group) Pg. 119B Tier 2: Kinesthetic (Small Group) Pg. 119B Lesson 3.6: Tier : Kinesthetic/Visual (Whole Class/Small Group) Pg. 123B Tier 2: Visual/Kinesthetic (Small Group) Pg. 123B Lesson 3.7: Tier : Kinesthetic/Visual (Whole Class/Small Group) Pg. 127B Tier 2: Kinesthetic (Small Group) Pg. 127B SWD’s Additional Support Strategies: Multiplication: Have the student practice the multiplication tables each day with a peer using flash cards. Practice skip counting by 2s, 3s, and 5s. Have the student solve multiplication problems by manipulating objects and stating the process involved. Teach the student why he/she is learning multiplication. Provide the student with concrete examples and opportunities for him/her to apply these in real-life situations. Problem Solving: Discuss and provide the students with a list of words and phrases which usually indicate a multiplication operation (ex. Area, each, times, product, double, triple, twice, etc). Help the student recognize common patterns in word problems (ex. How many, add or subtract, etc) Games/Activities Key: Computation and Mental Math Geometry and Measurement Challenge Advanced For Advanced Students: TE, pg. 99F Enrich activity Enrich book Extend the project ELL activity