Year 5 Divide With Remainders Reasoning And Problem Solving
Reasoning and Problem SolvingStep 7: Divide with RemaindersTeaching note: We have included grids for short division and recommend that thisresource is printed in colour or greyscale.National Curriculum Objectives:Mathematics Year 5: (5C7b) Divide numbers up to 4 digits by a one-digit number using theformal written method of short division and interpret remainders appropriately for thecontextDifferentiation:Questions 1, 4 and 7 (Reasoning)Developing Identify whether a calculation is correct and explain why. No use of zero as aplace holder and no exchanges. Short method of division supported by place value gridshowing grouping.Expected Identify the correct statement and explain why. Some use of zero as a placeholder and includes up to two exchanges.Greater Depth Identify the correct statement and explain why. Use of zero as a placeholder and includes up to three exchanges.Questions 2, 5 and 8 (Problem Solving)Developing Solve a word problem. No use of zero as a place holder and no exchanges.Short method of division supported by place value grid showing grouping.Expected Solve a word problem. Some use of zero as a place holder and includes up totwo exchanges.Greater Depth Solve a word problem. Use of zero as a place holder and includes up tothree exchanges where some numbers within calculations are incomplete.Questions 3, 6 and 9 (Problem Solving)Developing Arrange number cards to create a calculation with a given remainder. No useof zero as a place holder and no exchanges.Expected Arrange number cards to create a calculation with a given remainder. Someuse of zero as a place holder and includes up to two exchanges.Greater Depth Arrange number cards to create a calculation with a given remainder. Useof zero as a place holder and includes up to three exchanges where some numbers withincalculations are incomplete.More Year 5 Multiplication and Division resources.Did you like this resource? Don’t forget to review it on our website. Classroom Secrets Limited 2018classroomsecrets.co.ukReasoning and Problem Solving – Divide with Remainders – Teaching Information
Divide with RemaindersDivide with Remainders1a. Johnny is calculating 3,665 3.1b. Steph is calculating 2,243 2.The answer is1,221 r3.The answer is1,121 r3.JohnnyStephThousands 1,00010010010101Thousands Hundreds1,000 1,000Is he correct? Explain your reasoning.DTensOnes1001001010110010010101Is she correct? Explain your reasoning.R2a. Tennis balls are packed into tubes.One tube holds 5 tennis balls. There are5,557 tennis balls. How many tubes areneeded to hold all the tennis balls?DR2b. Chocolate bars are packed intopackets. One packet holds 4 bars. Thereare 4,847 bars. How many packets areneeded to hold all the 01001001011,000100101DPS3a. Arrange the number cards below tocreate a calculation which has aremainder of 1. Complete the calculation.4DPS3b. Arrange the number cards below tocreate a calculation which has aremainder of 1. Complete the calculation.567r14D8r183PS Classroom Secrets Limited 2018169Dclassroomsecrets.co.ukReasoning and Problem Solving – Divide with Remainders – Year 5 DevelopingPS
Divide with RemaindersDivide with Remainders4a. Sean and Gabriel are calculating7,987 6.4b. Hannah and Alice are calculating8,359 8.The answer is1,331 r1.The answer is1,043 r15.SeanHannahThe answer is1,332 r1.The answer is1,044 r7.GabrielAliceWho is correct? Explain your reasoning.EWho is correct? Explain your reasoning.R5a. Oranges are packed into nets. Onenet holds 5 oranges. There are 2,307oranges. How many nets are needed tohold all the oranges?E6a. Arrange the number cards below tocreate a calculation which has aremainder of 4. Complete the calculation.7R5b. Eggs are packed into boxes. One boxholds 8 eggs. There are 9,621 eggs. Howmany boxes are needed to hold all theeggs?PS7EEPS6b. Arrange the number cards below tocreate a calculation which has aremainder of 2. Complete the calculation.6544r49Er227PS Classroom Secrets Limited 20183Eclassroomsecrets.co.ukReasoning and Problem Solving – Divide with Remainders – Year 5 ExpectedPS
Divide with RemaindersDivide with Remainders7a. Cian and Jake have been exploringthe 1-digit number that 3,455 has beendivided by to get the answer 575 r5.7b. Sinead and Isabel have beenexploring the 1-digit number that 4,332has been divided by to get the answer866 r2.The divisor is7.CianThe divisor is8.SineadThe divisor is6.JakeWho is correct?Explain your reasoning.GD8a. There are 3,170 cupcakes packedinto less than 500 trays with 2 left over.How many cupcakes fit into a tray, andhow many trays would there be?9a. Arrange the number cards below tocreate a division with a remainder of 4.Discover the number hidden by the splatand complete the calculation.14GDR8b. There are 2,012 pears packed into lessthan 300 bags with 3 left over. How manypears fit into a bag, and how many bagswould there be?PS5GDPS9b. Arrange the number cards below tocreate a division with a remainder of 3.Discover the number hidden by the splatand complete the calculation.731r453PS Classroom Secrets Limited 20189r35GDIsabelWho is correct?Explain your reasoning.RGDThe divisor is5.GDclassroomsecrets.co.ukReasoning and Problem Solving – Divide with Remainders – Year 5 Greater DepthPS
Reasoning and Problem SolvingDivide with RemaindersReasoning and Problem SolvingDivide with RemaindersDeveloping1a. Johnny is incorrect because3,665 1,221 r2.2a. 4,886 4 1,221 r2; 1,112 tubes will beneeded.3a. 8,485 4 2,221 r1Developing1b. Steph is incorrect because2,243 2 1,121 r1.2b. 4,847 4 1,211 r3; 1,212 packets willbe needed.3b. 6,697 3 2,232 r1Expected4a. Sean is correct. Gabriel hasmiscalculated how many times 7 can begrouped into 6.5a. 2,307 5 461 r2; 462 nets will beneeded.6a. Various answers, for example:2,767 9 307 r4, 2,776 9 308 r4Expected4b. Alice is correct. Hannah hasmiscalculated how many times 39 can begrouped into 8 so her remainder is biggerthan her divisor.5b. 9,621 8 1,202 r5, 1,203 boxes will beneeded.6b. 3,544 7 506 r2Greater Depth7a. Jake is correct. Cian’s divisor wouldgive an answer of 493 r4.8a. 8 cupcakes per tray and 396 trays.9a. Various answers, for example:5,541 7 791 r4Greater Depth7b. Isabel is correct. Sinead’s divisor wouldgive an answer of 541 r4.8b. 7 pears per bag and 287 bags.9b. Various answers, for example:3,153 9 350 r3, 3,135 9 348 r3 Classroom Secrets Limited 2018classroomsecrets.co.ukReasoning and Problem Solving – Divide with Remainders ANSWERS
Divide with Remainders Reasoning and Problem Solving Divide with Remainders Developing 1a. Johnny is incorrect because needed. Expected 4a. Sean is correct. Gabriel has miscalculated how many times 7 can be grouped into 6. needed. 6a. Various answers, for example: Greater Depth 7a. Jake i
These type of questions become really simple if you understand the concept of negative remainders. Always try and reduce the dividend to 1 or -1. 45 9*5 Let us find out the remainders separately and combine them later Rem [1234.434481/9] The divisibility test of 9 is to divide the sum of the digits by 9.
1) Solving division problems with remainders using the worksheet that uses visuals. (Josh) 2) Practicing using the array model to solve division problems with NO remainders. (I will be at this center to provide problems and assistance) 3) Creating two new vocabulary cards following the m
remainders and how to find them within a division problem. -Start thinking about what a remainder looks like in real life and how it could be dealt with. 30 min. -Introduce the main content of today’s lesson, emphasizing how there are four different ways we can interpret our remainders
Cormen: Algorithms Unlocked, pp 40-59 (mergesort, quicksort) Rosen: Chapter 8.3: Divide-and-Conquer Algorithms and Recurrence Relations Objective: Analyzing Divide and Conquer Algorithms 1.Introducing sorting 2.Divide and Conquer 3.Divide and Conquer example: Merge Sort 4.Analyzing Di
1. As a class, work through the first problem on the “Remainders” worksheet, allowing . There are 26 seventh-grade students going to the big game against County Middle School. If 4 students can ride . A team needs 12 bats. There are 5 bats in a pack. How many packs will the team need? Explain:
the repeating string of remainders and 7 is the divisor). 3. If the remainders repeat, then we get a repeating block of digits in the quotient. ( In 1/3, 3 repeats in the quotient, in 1/7, we get the repeating bl
divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers Differentiation: Questions 1, 4 and 7 (Problem Solving) Developing Find the missing numbers when dividing 3 digits by 1 digit using pictorial support. Some remainders and no exchanging.
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