Grade 3: Chapter 4 – Multiplication Facts and Strategies Chapter Essential Question: What strategies can you use to multiply? Before (Grade 2) Represent and solve problems involving addition and subtraction. (2.OA.1) Work with equal groups of objects to gain foundations for multiplication. (2.OA.3, 2.OA.4) Understand place value. (2.NBT.2) Chapter Four Standards Grade 3 Operations and Algebraic Thinking 3: Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g. by using drawings and equations with a symbol for the unknown number to represent the problem. I can draw a picture, count by 2s, or use doubles to multiply with the factors 2 and 4. I can use skip counting, a number line, or a bar model to multiply with the factors 5 and 10. I can draw a picture, use 5s facts and addition, doubles, or a multiplication table to multiply with the factors 3 and 6. Operations and Algebraic Thinking 5: Apply properties of operations as strategies to multiply and divide. Examples: if 6 x 4 = 24 is known, then 4 x 6 = 24 is also known. (Commutative Property of Multiplication.) 3 x 5 x 2 can be found by 3 x 5 = 15, then 15 x 2 = 30, or by 5 x2 = 10, then 3 x 10 =30. (Associative Property of Multiplication) Knowing that 8 x 5 = 40 and 8 x 2 = 16, one can find 8 x 7 as 8 x (5 +2) = (8 x 5) + (8 x 2) = 40 + 16 = 56. (Distributive Property) After (Grade 4) Use the four operations with whole numbers to solve problems. (4.OA.2, 4.OA.3) Generalize and analyze patterns. (4.OA.5) Use place value understanding and properties of operations to perform multi-digit arithmetic. (4.NBT. 5, 4.NBT.6) I can use the Distributive Property to find products by breaking apart arrays. I can use the Associative Property of Multiplication to multiply with three factors. Operations and Algebraic Thinking 7: Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g. knowing that 8 x 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers. I can use the Commutative or Distributive Property or known facts to multiply with the factor 7. I can use doubles, a number line, or the Associative Property of Multiplication to multiply with the factor 8. I can use the Distributive Property with addition or subtraction or patterns to multiply with the factor 9. Operations and Algebraic Thinking 8: Solve two-step word problems using the four operations. 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. I can solve multiplication problems by using the strategy make a table. Operations and Algebraic Thinking 9: Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using the properties of operations. Des Moines Public Schools I can identify and explain patterns on the multiplication table. 2014-2015 Math Curriculum Guides Grade 3 – Chapter 4 Page | 1 Grade 3: Chapter 4 – Multiplication Facts and Strategies Chapter Essential Question: What strategies can you use to multiply? Each day the math block will begin with 15 minutes of Daily Math Review and Mental Math. The focus of DMR should be either prerequisite standard skills or previous chapter concepts that were not mastered. The focus of mental math should be based on the current Chapter’s skills and concepts. Adjust the amount of questions in DMR and MM to fit into the 15 minute time block. Suggested Chapter Pacing Launching the Chapter All lessons are paced for one day, unless otherwise indicated. Teachers may adjust to meet students’ needs. PreReview Prerequisite Skills Assessment Day Before Lesson 4.1 Lesson 4.1 Operations and Algebraic Thinking 3 Lesson 4.2 Operations and Algebraic Thinking 3 Lesson 4.3 Operations and Algebraic Thinking 3 Lesson 4.4 Operations and Algebraic Thinking 5 Draw It! TE 189I Vocabulary Activity Identify multiples of numbers TE 189H I Can Statement I can draw a picture, count by 2s, or use doubles to multiply with the factors 2 and 4. I can use skip counting, a number line, or a bar model to multiply with the factors 5 and 10. I can draw a picture, use 5s facts and addition, doubles, or a multiplication table to multiply with the factors 3 and 6. I can use the Distributive Property to find products by breaking apart arrays. Lesson 4.5 I can use the Commutative or Distributive Property or known facts to multiply with the factor 7. Lesson 4.6 I can use the Associative Property of Multiplication to multiply with three factors. I can identify and explain patterns on the multiplication table Operations and Algebraic Thinking 7 Operations and Algebraic Thinking 5 Lesson 4.7 Operations and Algebraic Thinking 9 Lesson 4.8 Operations and Algebraic Thinking 7 Lesson 4.9 Operations and Algebraic Thinking 7 Lesson 4.10 Operations and Algebraic Thinking 8 I can use doubles, a number line, or the Associative Property of Multiplication to multiply with the factor 8. I can use the Distributive Property with addition or subtraction or patterns to multiply with the factor 9. I can solve multiplication problems by using the strategy make a table. Des Moines Public Schools Show What You Know Assessment Identify Tier 2 and Tier 3 Groups for Small Group Instruction. Vocabulary Builder Preview Chapter Centers School – Home Letter Identify students who will need further vocabulary support for Chapter Four. Introduce chapter games, activities, and literature students will be using during center time. Read together and send home. Essential Question Implementation Notes Counters Introduce Activity: Story Time Re-introduce Literature: Collections Times Four Review Activities: Line ‘Em Up and Factor Spin (Chapter 3) Introduce Activity: Tic Tac Toe Times 6 Introduce Literature: Here’s What I Do How can you use the Distributive Property to find products? Possible 2 day lesson Square tiles Review Activity: Hurray for Arrays (Chapter 3) What strategies can you use to multiply with 7? Review Game: Multiplication BINGO Introduce Literature: Party Plans by the Numbers Mid Chapter Checkpoint not required Review Activity: Diamond Derby Introduce game: Guess My Numbers Introduce Literature: The Workshop Possible 2 day lesson Introduce activity: Sum Sentences How can you multiply with 2 and 4? How can you multiply with 5 and 10? What are some ways to multiply with 3 and 6? How can you use Associative Property of Multiplication to find products? How can you use properties to explain patterns on the multiplication table? What strategies can you use to multiply with 8? What strategies can you use to multiply with 9? How can you use the strategy make a table to solve multiplication problems? 2014-2015 Math Curriculum Guides Grade 3 – Chapter 4 Page | 2 Grade 3: Chapter 4 – Multiplication Facts and Strategies Chapter Essential Question: What strategies can you use to multiply? Resources and Centers for Chapter 4 Technology Hands-On Resources Digital Lesson: Engage Fastt Math Interactive White Board Lesson Interactive Student Edition iTools: Base-Ten Blocks iTools: Counters iTools: Number Charts iTools: Number Lines Math on the Spot Videos Mega Math Personal Math Trainer Centers Counting Tape Math Board Math Journal Square Tiles Yellow and Blue Crayons Other Hands-On Resources may be needed for Small Group Instruction Activities. Activity: Diamond Derby Activity: Factor Spin Activity: Hurray for Arrays Activity: Line ‘Em Up Activity: Story Time Activity: Tic-Tac-Toe Times 6 Activity: Sum Sentences Literature: Collections Times Four Literature: Here’s What I Do Literature: Party Plans by the Numbers! Literature: The Workshop Games: Multiplication BINGO Games: Guess My Numbers Additional Resources for Chapter 4 Operations in Algebraic Thinking 3 Operations in Algebraic Thinking 5 CGI Multi-Step Problem Bank Patterns and Multiples CGI Multi-Step Problem Bank Containers Candy Boxes Video Lesson Multiplying and Dividing on the Number Line Looking for Equal Groups in the Real World, Activity 2.1 Arrays and Slide Arrays -Circles and Numbers (variation) -Circles and Numbers – distributive (variation) Des Moines Public Schools Operations in Algebraic Thinking 7 CGI Multi-Step Problem Bank Mastering the Basic Math Facts in Multiplication and Division Chapter 2 Mastering the Basic Math Facts in Multiplication and Division Chapter 3 Mastering the Basic Math Facts in Multiplication and Division Chapter 4 Mastering the Basic Math Facts in Multiplication and Division Chapter 5 Mastering the Basic Math Facts in Multiplication and Division Chapter 6 Mastering the Basic Facts in Multiplication and Division Chapter 7 Mastering the Basic Facts in Multiplication and Division Chapter 8 Mastering the Basic Facts in Multiplication and Division Chapter 9 Mastering the Basic Facts in Multiplication and Division Chapter 10 Mastering the Basic Math Facts in Multiplication and Division Chapter 11 4th Grade Multiplication and Division Story Bank 2014-2015 Math Curriculum Guides Grade 3 – Chapter 4 Operations in Algebraic Thinking 8 Operations in Algebraic Thinking 9 CGI Multi-Step Problem Bank Addition and Subtraction Story Bank Chart It Out Missing Elements 4th Grade Multiplication and Division Story Bank Real Life Situations Money Under the Table Spin to Win Page | 3