Progression in Mastery Year 5 Multiply NonUnit Fractions

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Progression in Mastery Year 5 Multiply Non-Unit Fractions by an Integer Now let’s multiply

Progression in Mastery Year 5 Multiply Non-Unit Fractions by an Integer Now let’s multiply non-unit fractions by an integer! ©Deepening Understanding LTD 2020

Let’s do this! Complete the statements. 1 5 1 4 x x 6= 5=

Let’s do this! Complete the statements. 1 5 1 4 x x 6= 5= 6 5 = = 1 5 __ 4 1 3 x 1 2 x 9= ©Deepening Understanding LTD 2020 7= 3 = 2 = __

Let’s revisit what we should know… A unit fraction is one part of a

Let’s revisit what we should know… A unit fraction is one part of a whole. Its numerator is always ____. 1 2 1 12 1 5 1 30 1 8 Can you give an example of a unit fraction? ©Deepening Understanding LTD 2020

Let’s revisit what we should know… A non-unit fraction has a numerator greater than

Let’s revisit what we should know… A non-unit fraction has a numerator greater than ____. 2 3 12 15 5 7 19 50 6 10 Can you give an example of a non-unit fraction? ©Deepening Understanding LTD 2020

Let’s revisit what we should know… We can use repeated addition to multiply unit

Let’s revisit what we should know… We can use repeated addition to multiply unit fractions by integers. 1 7 + 1 7 x + 3 1 7 = ©Deepening Understanding LTD 2020 3 7

Let’s learn We can use repeated addition to multiply non-unit fractions by integers. 2

Let’s learn We can use repeated addition to multiply non-unit fractions by integers. 2 5 + 2 5 x + 2 5 3 = 6 1 =1 5 5 We say You I all say it!it!it! ©Deepening Understanding LTD 2020

Let’s talk Use repeated addition to calculate: 3 8 + 3 8 x +

Let’s talk Use repeated addition to calculate: 3 8 + 3 8 x + 4 3 8 + ©Deepening Understanding LTD 2020 3 8

Let’s learn We can use a number line to multiply non-unit fractions by integers.

Let’s learn We can use a number line to multiply non-unit fractions by integers. 5 7 0 x 2 5 5 7 7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 7 7 7 7 _____ lots of _____ is _____ We say You I all say it!it!it! ©Deepening Understanding LTD 2020

Let’s talk Use the number line to calculate: 2 7 0 x 6 4

Let’s talk Use the number line to calculate: 2 7 0 x 6 4 x 3 7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 7 7 7 7 ©Deepening Understanding LTD 2020

Let’s develop our learning When multiplying a non-unit fraction by an integer, the ____

Let’s develop our learning When multiplying a non-unit fraction by an integer, the ____ stays the same. You multiply the ____ by the ____. 2 8 x 3 2 x 3 = 8 = We say You I all say it!it!it! ©Deepening Understanding LTD 2020 6 8

Let’s develop our learning Multiply each of these fractions by 4. 4 5 3

Let’s develop our learning Multiply each of these fractions by 4. 4 5 3 6 6 7 x 4= x 4 3 4 = ©Deepening Understanding LTD 2020

Let’s talk Jerry has been learning to multiply non-unit fractions by integers. 15 5

Let’s talk Jerry has been learning to multiply non-unit fractions by integers. 15 5 x > 20 3 4 x 5 Do you agree with Jerry? Explain your reasoning! ©Deepening Understanding LTD 2020

Independent Task Let’s showcase our learning ©Deepening Understanding LTD 2020

Independent Task Let’s showcase our learning ©Deepening Understanding LTD 2020

Exit task – Dong Nao Jin Which of the fractions can be multiplied by

Exit task – Dong Nao Jin Which of the fractions can be multiplied by an even integer to make an odd whole number? Is there more than one solution? ©Deepening Understanding LTD 2020