Year 3 Spring Block 5 Fractions Step 6

Year 3 – Spring Block 5 – Fractions Step 6: Fractions on a Number Line © Classroom Secrets Limited 2019

Introduction Has Surinder written the fractions on this number line correctly? 0 10 10 20 10 30 10 40 10 50 10 60 10 Hint: Look at the numerator of each fraction. © Classroom Secrets Limited 2019 70 10 80 10 90 10 1

Introduction Has Surinder written the fractions on this number line correctly? 0 10 10 20 10 30 10 40 10 50 10 60 10 70 10 80 10 90 10 1 No he hasn’t. The number line should look like this. 0 © Classroom Secrets Limited 2019 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 10 1

Varied Fluency 1 What fraction is the arrow pointing to on this number line? 0 © Classroom Secrets Limited 2019 1 3 2 3 1 1 1 3 2

Varied Fluency 1 What fraction is the arrow pointing to on this number line? 0 © Classroom Secrets Limited 2019 1 3 2 3 1 1 1 3 1 2 3 2

Varied Fluency 2 Write the fractions in the gaps on the number line. 0 © Classroom Secrets Limited 2019 1 2 10 10 5 6 7 10 10 10 9 10 1

Varied Fluency 2 Write the fractions in the gaps on the number line. 0 © Classroom Secrets Limited 2019 1 2 3 4 5 6 7 8 9 10 10 10 1

Varied Fluency 3 4 Mark 1 6 on the number line. 1 © Classroom Secrets Limited 2019 2

Varied Fluency 3 4 Mark 1 6 on the number line. 1 © Classroom Secrets Limited 2019 1 4 6 2

Varied Fluency 4 True or false? The fractions on this number line are correct. 32 1 8 2 2 8 2 3 8 2 4 8 2 5 8 2 Look at the numbers at each end of the number line. © Classroom Secrets Limited 2019 6 8 2 7 8 2

Varied Fluency 4 True or false? The fractions on this number line are correct. 32 1 8 2 2 8 2 3 8 2 4 8 2 5 8 2 6 8 2 7 8 2 False; the whole numbers at each end of the number line are in the wrong positions. © Classroom Secrets Limited 2019

Reasoning 1 Danielle says, 2 If I start on 1 5 and count on 7 more fifths, I will end up on 3. Draw a number line to work out if she is correct. Explain your answer. © Classroom Secrets Limited 2019

Reasoning 1 Danielle says, 2 If I start on 1 5 and count on 7 more fifths, I will end up on 3. Draw a number line to work out if she is correct. Explain your answer. The number line will need steps of 1/5 each time and can start at 1. No, Danielle is incorrect because… © Classroom Secrets Limited 2019

Reasoning 1 Danielle says, 2 If I start on 1 5 and count on 7 more fifths, I will end up on 3. Draw a number line to work out if she is correct. Explain your answer. No, Danielle is incorrect because she will land on 2 45. Accept answers which use a number line to show this. © Classroom Secrets Limited 2019

Problem Solving 1 Aleksander walks to his friend’s house. He rests when he is At 6 7 3 7 of the way there, he stops at the shop to buy a drink. Show Aleksander’s journey on the blank number line. Home © Classroom Secrets Limited 2019 Friend’s House

Problem Solving 1 Aleksander walks to his friend’s house. He rests when he is At 6 7 3 7 of the way there, he stops at the shop to buy a drink. Show Aleksander’s journey on the blank number line. Home © Classroom Secrets Limited 2019 3 7 6 7 Friend’s House

Reasoning 2 Fatima thinks she has labelled this number line correctly. 22 1 8 2 2 8 2 3 8 2 4 8 2 5 8 2 6 8 2 7 8 Is she correct? Explain how you know. Hint look at the numbers either end of the number line. © Classroom Secrets Limited 2019 2

Reasoning 2 Fatima thinks she has labelled this number line correctly. 22 1 8 2 2 8 2 3 8 2 4 8 2 Is she correct? Explain how you know. She is incorrect because… © Classroom Secrets Limited 2019 5 8 2 6 8 2 7 8 2

Reasoning 2 Fatima thinks she has labelled this number line correctly. 22 1 8 2 2 8 2 3 8 2 4 8 2 5 8 2 6 8 2 7 8 2 Is she correct? Explain how you know. She is incorrect because the whole number at the end of the number line should be 3, not 2. © Classroom Secrets Limited 2019