Mixed Age Year 5 and 6 Fractions Step 17 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for this step which covers Year Year 5 Multiply Non-Unit Fractions by an Integer and Year 6 Multiply Fractions by Fractions for Spring Block 1.
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This Mixed Age Year 5 and 6 Fractions Step 17 pack includes:
Mathematics Year 5: (5F5) Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
Mathematics Year 5: (5F2a) Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5 ]
Mathematics Year 5: (5F2b) Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
Mathematics Year 6: (6F2) Use common factors to simplify fractions; use common multiples to express fractions in the same denomination
Mathematics Year 6: (6F3) Compare and order fractions, including fractions > 1
Mathematics Year 6: (6F4) Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions
Mathematics Year 6: (6F5a) Multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, 1/4 x 1/2 = 1/8
Differentiation for Year 5 Multiply Non-Unit Fractions by an Integer:
Varied Fluency
Developing Questions to support multiplying non-unit fractions by integers. Images provided for support.
Expected Questions to support multiplying non-unit fractions by integers. Fractions may need to be reduced to their simplest form using knowledge of equivalent fractions or improper fractions converted to mixed numbers. Images provided for support.
Greater Depth Questions to support multiplying non-unit fractions by integers. Fractions will need to be reduced to their simplest form using knowledge of equivalent fractions and improper fractions converted to mixed numbers. No images provided.
Reasoning and Problem Solving
Questions 1, 4 and 7 (Reasoning)
Developing Explain the odd one out when multiplying non-unit fractions by integers, where the denominators are the same.
Expected Explain the odd one out when multiplying non-unit fractions by integers. Fractions need to be converted to a mixed number or simplified using knowledge of equivalent fractions.
Greater Depth Explain the odd one out when multiplying unit fractions by integers. Fractions need to be converted to a mixed number and simplified using knowledge of equivalent fractions.
Questions 2, 5 and 8 (Reasoning)
Developing Prove who is correct when non-unit fractions by integers.
Expected Prove who is correct when non-unit fractions by integers. Fractions need to be converted to a mixed number or simplified using knowledge of equivalent fractions.
Greater Depth Prove who is correct when non-unit fractions by integers. Fractions need to be converted to a mixed number and simplified using knowledge of equivalent fractions.
Questions 3, 6 and 9 (Problem Solving)
Developing Multiply non-unit fractions by integers in order to compare, where denominators are the same.
Expected Multiply non-unit fractions by integers in order to compare, where denominators are the same and fractions are improper.
Greater Depth Multiply non-unit fractions by integers in order to compare where denominators are different and fractions are improper.
Differentiation for Year 6 Multiply Fractions by Fractions:
Varied Fluency
Developing Questions to practise multiplying fractions by fractions, with and without diagrams. All numerators are 1.
Expected Questions to practise multiplying fractions by fractions, with and without diagrams.
Greater Depth Questions to practise multiplying fractions and mixed numbers, with and without diagrams. Includes mixed numbers and improper fractions.
Reasoning and Problem Solving
Questions 1, 4 and 7 (Reasoning)
Developing Explain whether or not a given fraction could be multiplied by any other to give a certain answer. Numerators are all 1.
Expected Explain whether or not a given fraction could be multiplied by any other to give a certain answer.
Greater Depth Explain whether or not a given fraction could be multiplied by any other to give a certain simplified answer. Mixed numbers and improper fractions are used.
Questions 2, 5 and 8 (Problem Solving)
Developing Find 1 pair of fractions which multiply together to give a specified answer. Numerators are all 1.
Expected Find 3 pairs of fractions which multiply together to give a specified answer.
Greater Depth Find 8 pairs of fractions which multiply together to give a specified answer. Mixed numbers and improper fractions are used.
Questions 3, 6 and 9 (Reasoning)
Developing Explain the mistake made in a fraction multiplication, and give the correct answer. Numerators are all 1.
Expected Explain the mistake made in a fraction multiplication, and give the correct answer.
Greater Depth Explain the mistake made in a fraction multiplication, and give the correct answer. Mixed numbers and improper fractions are used.
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