## Strategies for Division
10/27/2014
Unit Name:Strategies for DivisionCommon Core State Standards:4.NBT.6 Find whole-number quotients and remainders with up to four-digit dividends and one-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.Essential Vocabulary:· division/divide · divisor · dividend · quotient · area · array · inverse operation · area model · expanded notation · algebraic notation Unit Overview:In this unit, students will apply their understanding of place value to help them explore multiple groups or division. Students will utilize their knowledge of base ten and groups of numbers within another number to help them solve for multi-digit division. This will be the students’ first exposure to remainders. Students will be asked to reason with remainders and make connections to prime and composite numbers. Students will solve multi-digit division problems with the use of various strategies listed below. Students will not be required to use the standard algorithm until 5th grade.Strategies/Skills:Students will build on their understanding of addition and subtraction by using place value strategies to make sense of the standard algorithms. They are expected to use a variety of models to support their reasoning about numbers. · Rectangular Section/Arrays · Base Ten blocks · Expanded notation · Algebraic notation Video Support:Video support can be found on The WCPSS Academics YouTube Channel. · http://tinyurl.com/WCPSSAcademicsYouTube o ES 4 Math Division with Area Model https://www.youtube.com/watch?v=uF1KOA_AIfs&list=PLNDkuWRw1gGRpuFSgmHjf07KamFfjq8Gz&index=1 o ES 4 Math Division with Area Model 2 https://www.youtube.com/watch?v=4y8Dpw9SUbU&list=PLNDkuWRw1gGRpuFSgmHjf07KamFfjq8Gz&index=31 o ES 4 Math Division with Expanded Notation https://www.youtube.com/watch?v=6F83P_20dU8&list=PLNDkuWRw1gGRpuFSgmHjf07KamFfjq8Gz&index=4 o ES 4 Math Division with Base Ten https://www.youtube.com/watch?v=iSqYnWqSDPo&list=PLNDkuWRw1gGRpuFSgmHjf07KamFfjq8Gz&index=3 Video support can be found on LearnZillion. · https://learnzillion.com/ o Solve Division Problems: using array https://learnzillion.com/student/lessons/26-solve-division-problems-using-array
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Common Core State Standards:4.OA.4 Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite. Essential Vocabulary:· multiplication/multiply · division/divide · area · array · factor pair · factor · prime · composite · product · area model Unit Overview:In this unit, students will use their knowledge from 3rd grade on multiplication factors to help them find factor pairs using area model/arrays. Students will use their knowledge of finding factor pairs to determine if a number is prime or composite. In addition, for the first time students will learn about prime and composite numbers in relation to rectangular arrays. Students will not be required to use the standard algorithm until 5th grade. Strategies/Skills:Students will build on their understanding of addition and subtraction by using place value strategies to make sense of the standard algorithms. They are expected to use a variety of models to support their reasoning about numbers. · Area Model/Arrays · Relationship between multiplication & division (through various properties) Video Support:Video support can be found on LearnZillion. · http://learnzillion.com o Find all the factor pairs of a number using area models https://learnzillion.com/lessons/780-find-all-the-factor-pairs-of-a-number-using-area-models o Determine multiples of a number using area models https://learnzillion.com/lessons/781-determine-multiples-of-a-number-using-area-models o Determine if a number is prime or composite using area models https://learnzillion.com/lessons/786-determine-if-a-number-is-prime-or-composite-using-area-models Common Core State Standards:4.NBT.5 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. Essential Vocabulary:· multiplication/multiply · division/divide · area · array · factor · square unit · product · area model · expanded notation · algebraic notation Unit Overview:In this unit, students will apply their understanding of place value to help them explore multiple groups or multiplication. Students will utilize their knowledge of base ten and groups of numbers within another number to help them solve for multi-digit multiplication. Students will use their knowledge from 3rd grade with multiplication factors to help them solve larger multi-digit problems. Students will solve multi-digit multiplication problems with the use of various strategies listed below. Students will not be required to use the standard algorithm until 5th grade.Strategies/Skills:Students will build on their understanding of addition and subtraction by using place value strategies to make sense of the standard algorithms. They are expected to use a variety of models to support their reasoning about numbers. · Rectangular Section/Arrays · Area Models · Base Ten blocks · Expanded notation · Algebraic notation Video Support:Video support can be found on The WCPSS Academics YouTube Channel. · http://tinyurl.com/WCPSSAcademicsYouTube o ES 4 Math Whole Number Multiplication w/ Expanded Notation https://www.youtube.com/watch?v=-8PK7vsIF2Q&list=PLNDkuWRw1gGRpuFSgmHjf07KamFfjq8Gz&index=32 o ES 4 Math Whole Number Multiplication w/ Area Model https://www.youtube.com/watch?v=3TJ9KdEhUbU&list=PLNDkuWRw1gGRpuFSgmHjf07KamFfjq8Gz&index=6 o ES 4 Math Whole Number Multiplication w/ Base Ten Blocks https://www.youtube.com/watch?v=c6MRuNTwZi8&list=PLNDkuWRw1gGRpuFSgmHjf07KamFfjq8Gz&index=5 Additional Resources:If you have limited/no internet access, please contact your child’s teacher for hard copies of the resources listed in this document. |
## Mrs. Ana RhyneI teach 4th grade math and science at Weatherstone Elementary School. I graduated from Meredith College with a BA in Spanish and K-6 licensure. ## Archives
May 2016
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