Year 6 Multiply Fractions By Fractions Reasoning And .

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Reasoning and Problem SolvingStep 11: Multiply Fractions by FractionsNational Curriculum Objectives:Mathematics Year 6: (6F2) Use common factors to simplify fractions; use common multiplesto express fractions in the same denominationMathematics Year 6: (6F5a) Multiply simple pairs of proper fractions, writing the answer inits simplest form [for example, 1/4 x 1/2 1/8Differentiation:Questions 1, 4 and 7 (Reasoning)Developing Identify whether a given calculation is correct, using knowledge of multiplyingfractions by fractions. All numerators are 1, pictorial support is given and the answer is lessthan 1.Expected Identify whether a given calculation is correct, using knowledge of multiplyingfractions by fractions. Numerators are any number, some pictorial support is given and theanswer is less than 1.Greater Depth Identify whether a given calculation is correct, using knowledge ofmultiplying fractions by fractions. Mixed numbers and improper fractions are used.Questions 2, 5 and 8 (Problem Solving)Developing Find 3 pairs of fractions which when multiplied give a specified answer. Allnumerators are 1, pictorial support is given and the answer is less than 1.Expected Find 3 pairs of fractions which when multiplied give a specified answer.Numerators are any number and the answer is less than 1.Greater Depth Find 3 pairs of fractions which when multiplied give a specified answer.Improper fractions are used. A diagram is included for support.Questions 3, 6 and 9 (Reasoning)Developing Identify whether a statement is correct, using knowledge of multiplyingfractions by fractions. All numerators are 1, pictorial support is given and the answer is lessthan 1.Expected Identify whether a statement is correct, using knowledge of multiplying fractionsby fractions. Numerators are any number and the answer is less than 1.Greater Depth Identify whether a statement is correct, using knowledge of multiplyingfractions by fractions. Mixed numbers and improper fractions are used.More Year 6 Fractions resources.Did you like this resource? Don’t forget to review it on our website. Classroom Secrets Limited 2018classroomsecrets.co.ukReasoning and Problem Solving – Multiply Fractions by Fractions – Teaching Information

Multiply Fractions by FractionsMultiply Fractions by Fractions1a. Look at the calculation below.1b. Look at the calculation below.111x 325111x 4520Is it correct? Explain how you know.Is it correct? Explain how you know.DRDR2a. Marcus is trying to find pairs of properfractions which multiply together to makethe answer below.2b. Harvey is trying to find pairs of properfractions which multiply together to makethe answer below.?1x ?24?1x ?30He finds 3 pairs. What could his pairs be?DHe finds 3 pairs. What could his pairs be?PS3a. Sian is thinking about multiplyingfractions.D3b. Tanya is thinking about multiplyingfractions.If the answer to a fractionIf the answer to a fractionmultiplication is 1 , one ofmultiplication is 1 , one ofthe fractions which wasthe fractions which wasmultiplied could havemultiplied could have8SianPS4been 1 . The answer hasTanya2been 1 . The answer has3not been simplified.not been simplified.Is she correct? Explain how you know.Is she correct? Explain how you know.DR Classroom Secrets Limited 2018Dclassroomsecrets.co.ukReasoning and Problem Solving – Multiply Fractions by Fractions – Year 6 DevelopingR

Multiply Fractions by FractionsMultiply Fractions by Fractions4a. Look at the calculation below.4b. Look at the calculation below.123x 45202510x 3618Is it correct? Explain how you know.Is it correct? Explain how you know.ERER5a. Stacy is trying to find pairs of properfractions which multiply together to makethe answer below.5b. Hattie is trying to find pairs of properfractions which multiply together to makethe answer below.?12x ?30?8x ?24She finds 3 pairs. What could her pairsbe?EShe finds 3 pairs. What could her pairsbe?PS6a. Rose is thinking about multiplyingfractions.EPS6b. Cory is thinking about multiplyingfractions.If the answer to a fractionmultiplication is 4 , one of16RoseIf the answer to a fractionmultiplication is 6 , one ofR15the fractions which wasthe fractions which wasmultiplied could havemultiplied could havebeen 2 . The answer hasCory7been 2 . The answer has3not been simplified.not been simplified.Is she correct? Explain how you know.Is he correct? Explain how you know.ER Classroom Secrets Limited 2018Eclassroomsecrets.co.ukReasoning and Problem Solving – Multiply Fractions by Fractions – Year 6 ExpectedR

Multiply Fractions by FractionsMultiply Fractions by Fractions7a. Look at the calculation below.7b. Look at the calculation below.109x 87118x 125341 56Is it correct? Explain how you know.Is it correct? Explain how you know.GDR8a. Titus is trying to find pairs of fractionswhich multiply together to make theanswer below.?x ?x ?9a. Hugh is thinking about multiplyingfractions.GDPS9b. James is thinking about multiplyingfractions.If the simplified answer to aIf the simplified answer to afraction multiplication is11 14 , one of the fractionswhich was multiplied couldfraction multiplication is12 12 , one of the fractionswhich was multiplied couldhave beenJames3.7Is he correct? Explain how you know.have been9.2Is he correct? Explain how you know.R Classroom Secrets Limited 2018122 18He finds 3 pairs so far. What could hispairs be?PSGDR8b. Craig is trying to find pairs of fractionswhich multiply together to make theanswer below.He finds 3 pairs so far. What could hispairs be?HughGD42 16GD411 55GDclassroomsecrets.co.ukReasoning and Problem Solving – Multiply Fractions by Fractions – Year 6 Greater DepthR

Reasoning and Problem SolvingMultiply Fractions by FractionsDevelopingReasoning and Problem SolvingMultiply Fractions by FractionsDeveloping1a. It is incorrect because 1 x 1 1 and 31x 2 6. The answer is1b. It is correct because 1 x 1 1 and 4 x.61111112a.X;x;x5 20.3a. Sian is correct: 1 is a multiple of 1 and3b. Tanya is incorrect: 1 is a multiple of 1,8 is a multiple of 2.but 4 is not a multiple of 3.ExpectedExpected21238464a. It is incorrect because 1 x 2 2 and 42x 5 20. The answer is20.2x1215;26x3103;x51x2151;31x101;x5164b. It is correct because 2 x 5 10 and 3 x6 18.5a. Various answers, for example:112b.45b. Various answers, for example:162x8122;4x46;23x486a. Rose is incorrect: 4 is a multiple of 26b. Cory is correct: 6 is a multiple of 2 andbut 16 is not a multiple of 7.15 is a multiple of 3.Greater DepthGreater Depth7a. It is correct because 10 x 9 90 and 8x 7 56 and9056 341 56.12 x 5 60. The answer is8a. Various answers, for example:12x368;32X128;34x1249a. Hugh is correct: 15 is a multiple of 3and 14 is a multiple of 7;7b. It is incorrect because 11 x 8 88 and1514 11 14.8b. Various answers, for example:12x489;23x246;49x1229b. James is incorrect because 12 is amultiple of 2 but 25 is not a multiple of 9;2512 Classroom Secrets Limited 2018281 60 2112classroomsecrets.co.ukReasoning and Problem Solving – Multiply Fractions by Fractions ANSWERS

multiplying fractions by fractions. Mixed numbers and improper fractions are used. Questions 2, 5 and 8 (Problem Solving) Developing Find 3 pairs of fractions which when multiplied give a specified answer. All numerators are 1,

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