2014-2015 Curriculum Blueprint Grade: 5 Course: Math Approximate Time: 10 days Unit 2: Developing Multiplication and Division Strategies Learning Goal Unit Overview Students will understand how to multiply and divide whole numbers and are able to Students refine their strategies for multiplication and division in order to reach fluency in multiplication by the end of the explain strategies based on place value, the properties of operations, and the year. The students should develop a conceptual understanding of division through the use of multiple strategies. relationship between multiplication and division. Link to Multiplication and Division Learning Scale (Use only whole number indicators for this unit. Entire scale will be used in unit 4) Essential Question(s) How can we make sense of numbers and number relationships? Focus Standards Bullets are the deconstructed standards These should be used to develop concise learning statements/daily objectives/scales. Grade 5 Test Item Specifications Vertical Progression http://www.turnonccmath.net/ K-8 Learning Trajectories (This could be used to determine remediation needs or enrichment opportunities) MAFS.5.NBT.2.5 (DOK 1) Fluently multiply multi-digit whole numbers using the standard algorithm. Fluently multiply multi-digit whole numbers using the standard algorithm. 4th Grade Students 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. Students find whole number quotients and remainders with up to four-digit dividends and one-digit divisors based on place value and the properties of operation. MAFS.5.NBT.2.6 (DOK 2) Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors. Use strategies based on place value, the properties of operations, and/or the relationship between multiplication and division to solve division problems. Illustrate and explain division calculations by using equations, rectangular arrays, and/or area models. 6th Grade Students fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. Mathematical Practice Standards Link to Mathematical Practice Standards Rubric MAFS.K12.MP.1.1 Make sense of problems and persevere in solving them. MAFS.K12.MP.8.1 Look for and express regularity in repeated reasoning. Resources *Be selective in choosing problems aligned to the standards within each lesson *Because multiplication is the fluency standard, and your textbook does not contain multiplication, you should have your students check their division using multiplication as well as use estimation to check for reasonableness. These are both pre-requisite skills Textbook Correlation 1.3 Arrays, inverse operations, distributive property 2.2 Arrays, Distributive Property 2.2 Revisit with partial quotients and Area model 3.1 Partial Quotients and Area Model 2.3 Estimating with Division 3.2 Estimating with Division 2.5, 3.5, 3.7 Place value should be emphasized as you introduce students to the standard algorithm for division (Students are not meant to be fluent with the standard algorithm in 5th Grade) Product Factor Divisor Quotient Dividend Equations Essential Vocabulary Remainder Inverse operations Variable Distributive property Partial quotient Standard algorithm Higher Order Questions/Stems What strategies can be used to multiply/divide whole numbers? How does the array/area model provide a visual for division? Why would someone use the distributive property for division? How can I effectively illustrate and explain my mathematical thinking? Why did you choose to use that strategy? How do partial numbers relate to each other? Why is the standard algorithm an efficient method for multiplication? Updated 08/18/14 pg. 1 2014-2015 Curriculum Blueprint Grade: 5 Course: Math Approximate Time: 10 days Unit 2: Developing Multiplication and Division Strategies How do I check my answer for reasonableness? Supplemental Resources These resources may provide students with Writing Connections experiences aligned to the full intent of the standards. Write to explain and justify how you solved your problem. It is important to access many of these resources Write to explain how you could use a model to solve the during the planning process. problem and why. Compare one strategy for multiplication to the standard Common Core State Standards for Mathematics (P. algorithm. 89- Common Multiplication and Division situations) Writing Template Tasks These template tasks are designed from the Georgia Unit 1 Mathematical Practice Standards. When filled in, these templates Practice Task: Multiplication 3 in a row p.50 become teaching tasks that create opportunities for teaching Constructing Task: The Grass is Always Greener p. literacy skills in mathematics. 62 Practice Task: Division Four in a Row P. 66 Link to Problem Solving Rubric Constructing Task: Are these All… P. 71 Link to Webb’s DOK Guide Culminating Task: Start of the Year Celebration! P. 70 5th Grade Common Core Flip Book Provides additional information and sample problems for every standard Engage NY Module 2 Only the whole number modules for this unit Teaching Channel Video Improving Participation with Talk Moves Performance Task - Veggies Problem of Month- Grapevine Illustrative Mathematics Tasks Search for tasks by standard Florida Interim Assessment Item Bank and Test Platform Updated 08/18/14 pg. 2 2014-2015 Curriculum Blueprint Grade: 5 Course: Math Approximate Time: 10 days Unit 2: Developing Multiplication and Division Strategies Updated 08/18/14 pg. 3
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