Week 8, Day 4 Find non-unit fractions of quantities (1)...Week 8, Day 4 Find non-unit fractions of...

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ã Hamilton Trust Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton Week 8, Day 4 Find non-unit fractions of quantities (1) Each day covers one maths topic. It should take you about 1 hour or just a little more. 1. Start by reading through the Learning Reminders. They come from our PowerPoint slides. 2. Tackle the questions on the Practice Sheet. There might be a choice of either Mild (easier) or Hot (harder)! Check the answers. 3. Finding it tricky? That’s OK… have a go with a grown-up at A Bit Stuck? 4. Have I mastered the topic? A few questions to Check your understanding. Fold the page to hide the answers!

Transcript of Week 8, Day 4 Find non-unit fractions of quantities (1)...Week 8, Day 4 Find non-unit fractions of...

Page 1: Week 8, Day 4 Find non-unit fractions of quantities (1)...Week 8, Day 4 Find non-unit fractions of quantities (1) Each day covers one maths topic. It should take you about 1 hour or

ã Hamilton Trust Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton

Week 8, Day 4 Find non-unit fractions of quantities (1)

Each day covers one maths topic. It should take you about 1 hour or just a little more.

1. Start by reading through the Learning Reminders.

They come from our PowerPoint slides.

2. Tackle the questions on the Practice Sheet.

There might be a choice of either Mild (easier) or

Hot (harder)!

Check the answers.

3. Finding it tricky? That’s OK… have a go with a

grown-up at A Bit Stuck?

4. Have I mastered the topic? A few questions to

Check your understanding.

Fold the page to hide the answers!

Page 2: Week 8, Day 4 Find non-unit fractions of quantities (1)...Week 8, Day 4 Find non-unit fractions of quantities (1) Each day covers one maths topic. It should take you about 1 hour or

ã Hamilton Trust Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton

Learning Reminders

Page 3: Week 8, Day 4 Find non-unit fractions of quantities (1)...Week 8, Day 4 Find non-unit fractions of quantities (1) Each day covers one maths topic. It should take you about 1 hour or

ã Hamilton Trust Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton

Learning Reminders

Page 4: Week 8, Day 4 Find non-unit fractions of quantities (1)...Week 8, Day 4 Find non-unit fractions of quantities (1) Each day covers one maths topic. It should take you about 1 hour or

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Learning Reminders

The answer will not always be 12 …

Page 5: Week 8, Day 4 Find non-unit fractions of quantities (1)...Week 8, Day 4 Find non-unit fractions of quantities (1) Each day covers one maths topic. It should take you about 1 hour or

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Practice Sheet MildFind non-unit fractions of numbers

1/4 of 16 =

1/3 of 21 =

1/5 of 50 =

1/8 of 32 =

1/10 of 90 =

3/4 of 16 =

2/3 of 21 =

3/5 of 50 =

4/8 of 32 =

4/10 of 90 =

1/4 of 24 =

1/3 of 33 =

1/5 of 25 =

1/8 of 16 =

1/10 of 30 =

2/4 of 24 =

2/3 of 33 =

4/5 of 25 =

7/8 of 16 =

9/10 of 30 =

In each case use the answer to the first in each pair to find the answer to the second.

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Practice Sheet HotFind non-unit fractions of numbers

3/4 of 16 =

2/3 of 21 =

3/5 of 50 =

4/8 of 32 =

4/10 of 90 =

2/4 of 24 =

2/3 of 33 =

4/5 of 25 =

7/8 of 16 =

9/10 of 30 =

Challenge

Find the mystery fractions/numbers:

of 22 = 11 of 30 = 18 of 48 = 36

of 49 = 35 of = 60

5 8

5 3/4

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Find non-unit fractions of numbers (mild)

1/4 of 16 = 4 3/4 of 16 = 121/3 of 21 = 7 2/3 of 21 = 141/5 of 50 = 10 3/5 of 50 = 301/8 of 32 = 4 4/8 of 32 = 161/10 of 90 = 9 4/10 of 90 = 361/4 of 24 = 6 2/4 of 24 = 121/3 of 33 = 11 2/3 of 33 = 221/5 of 25 = 5 4/5 of 25 = 201/8 of 16 = 2 7/8 of 16 = 141/10 of 30 = 3 9/10 of 30 = 27

Find non-unit fractions of numbers (hot)

3/4 of 16 = 122/3 of 21 = 143/5 of 50 = 304/8 of 32 = 164/10 of 90 = 362/4 of 24 = 122/3 of 33 = 224/5 of 25 = 207/8 of 16 = 149/10 of 30 = 27

Challenge

1/2 of 22 = 11 3/5 of 30 = 18

6/8 of 48 = 36 5/7 of 49 = 35

3/4 of 80 = 60

Practice Sheets Answers

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A Bit Stuck?Choccie quarters

Work in pairs

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Learning outcomes:• I can find ¼, ½ and ¾ of amounts (whole number answers).• I understand that 2⁄4 is the same as ½.• I am beginning to see that we can share numbers in the 4 times table into quarters

(whole number answers).

Things you will need:• A pencil• Cake picture• 40 chocolate buttons or counters

What to do:

Share the chocolate buttons between the quarters on the cake to help you to answer

these questions.

¼ of 8 is ¼ of 28 is

½ of 8 is ½ of 28 is

¾ of 8 is ¾ of 28 is

¼ of 16 is ¼ of 32 is

½ of 16 is ½ of 32 is

¾ of 16 is ¾ of 32 is

¼ of 24 is ¼ of 40 is

½ of 24 is ½ of 40 is

¾ of 24 is ¾ of 40 is

S-t-r-e-t-c-h:Think of other numbers of chocolate buttons that you could place on the cake, so that there is the same number of buttons in each quarter. You are not allowed to cut up any buttons!

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A Bit Stuck?Choccie quarters

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Check your understanding Questions

Find 1 8# , then 3 8# and then 5 8# of 24.

Write the missing numbers: __ of 15 is 5

2 3# of __ = 14

3 5# of 20 = ____

___ of 10 = 4

Which is bigger, 2 5# of 35 or 3 8# of 32?

Challenge Tom finds that 20 stickers fit in his book. This is 1 4# of his sticker collection. How many stickers does he have in all?

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Check your understanding

Answers

Find 1 8# , then 3 8# and then 5 8# of 24.

3, 9 and 15 respectively. Have children remembered the functions of the denominator and numerator correctly?

Write the missing numbers: 1 3# of 15 is 5

2 3# of 21 = 14

3 5# of 20 = 12

2 5# of 10 = 4

If children are struggling with these then model with counters.

Which is bigger: 2 5# of 35 or 3 8# of 32? 2 5# of 35 since it is 14. 3 8# of 32 is 12. Watch for children who have only found

the unit fraction each time, they may still think the first fraction is bigger.

Challenge Tom finds that 20 stickers fit in his book. This is 1 4# of his sticker collection. How many stickers does he have in all? 80.