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Grade: Third Lesson 3: Split Numbers to Multiply Standard: 3.OA.B.5 Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.) Essential Question What do the numbers in a multiplication problem represent? How does understanding these numbers help us interpret and represent multiplication equations? Big Idea Making sense of the meaning of multiplication and products of whole numbers is critical and lays the foundation for students as they learn more complex mathematical concepts. EdTools Instructional Task: Insect Collection Journal Task Grace showed two different ways to use the distributive property to find the product of 14 x 9. What might they have been? Vocabulary array factor multiplication multiply product times equal groups repeated addition Math Practices: 1, 2, 4, 7, 8 This standard references properties of multiplication. While students DO NOT need to not use the formal terms of these properties, students should understand that properties are rules about how numbers work. They need to flexibly and fluently apply each of them. Students represent expressions using various objects, pictures, words and symbols in order to develop their understanding of properties. They multiply by 1 and 0 and divide by 1. They change the order of numbers to determine that the order of numbers does not make a difference in multiplication (but does make a difference in division). Given three factors, they investigate changing the order of how they multiply the numbers to determine that changing the order does not change the product. They also decompose numbers to build fluency with multiplication. Edutools: Journal Task Sage says the product of 4x5x6 is less than the product of 6x5x4. Is Sage correct? Number Talks http://www.edutoolbox.org/rasp/525?route=tntools/list/grade/819/955/3 http://www.edutoolbox.org/rasp/524?route=tntools/list/grade/819/955/3 K-5 Math: http://www.k-5mathteachingresources.com/support-files/turn-your-array.pdf Week: 6 Learning Targets Students must understand the inverse relationship between multiplication and division. Students must be able to generalize the properties of operations to find efficient solutions. Strategies: Decomposing Numbers Turn Around Rule Books by Sherry Parrish: http://www.k-5mathteachingresources.com/support-files/decompose-a-factor-ver.1.pdf Third Grade Classroom pp.316-323 Student Thinking & Number Talks in the 3-5 Classroom pp.157-286 Activities http://www.readtennessee.org/m ath/teachers/k3_common_core_math_standard s/third_grade/operations_algebra ic_thinking/3oab5/3oab5_lesson _plan.aspx Illustrative Math: https://www.illustrativemathematics.org/content-standards/3/OA/B/5 Games Decompose a Factor - Version 1 Printable Center Decompose a Factor - Version 2 Printable Center Books Marilyn Burns: Amanda Bean's Amazing Dream The Best of Times http://www.mathnook.com/math/ccss/3.OA. How Much, How Many ... Is B.5.php 1000? Making Cents Math Potatoes 1001 Bugs to Spot Additional Support https://learnzillion.com/r esources/72372-applyproperties-of-operationsas-strategies-to-multiplyand-divide-3-oa-b-5 https://www.opened.com/ search?standard=3.OA.5 https://www.khanacadem y.org/commoncore/grade -3-OA https://www.teachingcha nnel.org/videos/multiplic ation-division-in-the-core Contributors: Quinena Bell, Kimberly Osburne, Christa Campbell, Misty Dobbs, Sia Phillips, Caleb Jones, Stephanie Turner Name: ______________________________________ When you multiply a digit by the factor 2, the product will always be a (n) _____ number. 962 Round to the nearest hundred. _______ 7 x 8 = ___ 7 x 80 = ____ 7 x 800 = ____ Date:_________________________________________ 9,046 – 787 = ___ 9,146 + 378 = _____ 962 Round to the nearest ten 4 x 4 = ___ _______ (4 x 2) + (4 x 2) = ___ Shade ½ of the whole. Write the number 16, 542 in expanded form. 1 whole AUTHOR: HANNELORE DICKERSON 6