1. Decimals and Fractions Find unit and non-unit fractions of amounts
Revise fractions
Find unit and non-unit fractions of amounts
Objectives
Day 1
Count in 1⁄4s, 1⁄3s, 1⁄8s and 1⁄10s saying equivalent fractions.
Day 2
Find unit and non-unit fractions of amounts.
Day 3
Before teaching, be aware that:
On Days children will need mini-whiteboards and pens.
Year 4

2. Decimals and Fractions Find unit and non-unit fractions of amounts
Revise fractions
Find unit and non-unit fractions of amounts
Starters
Day 1
Count 1/2s to at least 10 (pre-requisite skills)
Day 2
Tell the time (simmering skills)
Day 3
Find a time later (simmering skills)
Choose starters that suit your class by dragging and dropping the relevant slide or slides below to the start of the teaching for each day.
Year 4

3. Decimals and Fractions Find unit and non-unit fractions of amounts
Revise fractions
Find unit and non-unit fractions of amounts
Starter
Count 1/2s to at least 10
Pre-requisite skills – to use this starter, drag this slide to the start of Day 1
Together, count on in steps of 1/2. Once past 12, shout change; then children count back in steps of 1/2 to 5, then shout change again. Repeat, changing direction. Try to gain speed as you do so.
Year 4

4. Decimals and Fractions Find unit and non-unit fractions of amounts
Revise fractions
Find unit and non-unit fractions of amounts
Starter
Tell the time
Simmering skills – to use this starter, drag this slide to the start of Day 2
Show children a time on a geared analogue clock. Children work in pairs, one to write the time in words, e.g. 20 to 11, and the other to write the time as it would appear on a 12-hour digital clock, i.e. 10:40. Once agreed, both children show you their whiteboards. Repeat with other times to the nearest 5 minutes, particularly those to the hour, and then some with minutes that are not multiples of 5.
Year 4

5. Decimals and Fractions Find unit and non-unit fractions of amounts
Revise fractions
Find unit and non-unit fractions of amounts
Starter
Find a time later
Simmering skills – to use this starter, drag this slide to the start of Day 3
Show a time on a geared analogue clock, e.g. 10 to 11. Children work in pairs to write the time it will be 10 minutes later. One child writes this time in words and the other as it would appear on a 12-hour digital clock. Include times such as 5 to 8 and 25 past 4 (times that cross the hour and half hour).
Year 4

6. Decimals and Fractions Find unit and non-unit fractions of amounts
Revise fractions
Find unit and non-unit fractions of amounts
Objectives
Day 1
Count in 1⁄4s, 1⁄3s, 1⁄8s and 1⁄10s saying equivalent fractions.
Year 4

7. This number line goes up in thirds.
Day 1: Count in 1⁄4s, 1⁄3s, 1⁄8s and 1⁄10s saying equivalent fractions.
Let’s count along the line... one third, two thirds, ONE, one and one third, one and two thirds, TWO....
This number line goes up in thirds.
2/3
12/3
21/3
32/3
41/3
Write the number the arrow points to on your whiteboards.
Year 4

8. Let’s count to five using quarters and halves.
Day 1: Count in 1⁄4s, 1⁄3s, 1⁄8s and 1⁄10s saying equivalent fractions.
Let’s count along the
line to five. One quarter, two quarters, three quarters, ONE, one and one quarter….
This number line goes up in quarters.
1/2
11/2
21/2
31/2
41/2
2/4
12/4
Let’s count to five using quarters and halves.
One quarter, one half, three quarters, ONE, one and a quarter, one and a half, one and three quarters…
What’s another way of saying two quarters?
One and two quarters? Two and two quarters…
Year 4

9. Let’s mark on equivalent fractions.
Day 1: Count in 1⁄4s, 1⁄3s, 1⁄8s and 1⁄10s saying equivalent fractions.
Let’s count along the
line to two. One tenth, two tenths, three tenths……ONE, one and a tenth….
This number line goes up in tenths.
1/5
2/5
1/2
3/5
4/5
2/10
4/10
5/10
6/10
8/10
Let’s count along in tenths from 0 to 1 using the simplest equivalent fractions.
Let’s mark on equivalent fractions.
Children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download on our website.
WT: Marking on and counting fractions on a number line.
ARE: Marking on and counting fractions on a number line and comparing them.
GD: Marking on and counting fractions on a number line (harder fractions).
Now from 1 to 2 – the pattern will be the same..
Year 4

10. The Practice Sheet on this slide is suitable for most children.
You can download differentiated PRACTICE WORKSHEETS from Hamilton’s website in this unit’s PROCEDURAL FLUENCY box.
WT: Fraction sequences Sheet 1.
ARE: Fraction sequences Sheet 1.
GD: Fraction sequences Sheet 2.
Year 4

11. Decimals and Fractions Find unit and non-unit fractions of amounts
Revise fractions
Find unit and non-unit fractions of amounts
Objectives
Day 2
Find unit and non-unit fractions of amounts.
Year 4

12. How many pieces would this be? How can we find 2/5, 2/5 and 3/5 of 30?
Day 2: Find unit and non-unit fractions of amounts.
If this bar of chocolate was shared equally between 5 people, what fraction would they each get?
How many pieces would this be?
They would get 1/5 each!
How can we find 2/5, 2/5 and 3/5 of 30?
We can find 1/5 of 30 by dividing 30 by 5.
30 ÷ 5 = ?
6 pieces each!
Year 4

13. What if the bar of chocolate was shared equally between
Day 2: Find unit and non-unit fractions of amounts.
What if the bar of chocolate was shared equally between
6 people?
They would get 1/6 each!
How can we find
5/6 of 30?
We can find 1/6 of 30 by dividing 30 by 6.
30 ÷ 6 = ?
5 pieces each!
Year 4

14. We can find 1/10 of 50 by dividing 50 by 10.
Day 2: Find unit and non-unit fractions of amounts.
What if a bar of chocolate had 50 pieces and was shared equally between
10 people?
They would get 1/10 each!
We can find 1/10 of 50 by dividing 50 by 10.
50 ÷ 10 = ?
5 pieces each!
Children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download on our website.
WT/ARE: Write fraction sentences about chocolate bars of 32 and 36 pieces.
GD: Write fraction sentences about arrays of 40 and 32.
What is 2/10 of 50?
3/10 ? 9/10?
Year 4

15. ,
Challenge
The Practice Sheet on this slide is suitable for most children.
You can download differentiated PRACTICE WORKSHEETS from Hamilton’s website in this unit’s PROCEDURAL FLUENCY box.
WT: Linking fractions and division Sheet 1.
ARE: Linking fractions and division Sheet 2.
GD: Linking fractions and division Sheet 2.
Year 4

16. Decimals and Fractions Find unit and non-unit fractions of amounts
Revise fractions
Find unit and non-unit fractions of amounts
Objectives
Day 3
Find unit and non-unit fractions of amounts.
Year 4

17. This pizza has been cut into 8 equal slices.
Day 3: Find unit and non-unit fractions of amounts.
This pizza has been cut into 8 equal slices.
The chef shares toppings equally.
If there are 16 pieces of salami how many should go on each slice?
Each slice would have 1/8 of the salami.
We can find 1/8 of 16 by dividing 16 by 8.
2 pieces for each slice!
16 ÷ 8 = ?
Year 4

18. We can make a list of fraction facts for eighths of 16...
Day 3: Find unit and non-unit fractions of amounts.
We can make a list of fraction facts for eighths of 16...
1/8 of 16 = 2
2/8 of 16 = 4
3/8 of 16 = 6
4/8 of 16 = 8
5/8 of 16 = 10
6/8 of 16 = 12
7/8 of 16 = 14
8/8 of 16 = 16
1/8 of 16 = 2
2/8 of 16 = 4
3/8 of 16 =
Let’s check.
Continue the list on your whiteboards.
Who got all those?
Year 4

19. How can we use the bar model to find 3/8 of 16 or 5/8 of 16?
Day 3: Find unit and non-unit fractions of amounts. 16 2 2 2 2 2 2 2 2
We can also show fractions of 16 using a bar model. Each small bar represents 1/8 of the whole.
How can we use the bar model to find 3/8 of 16 or 5/8 of 16?
3/8 of 16 will be
3 of the 2s. 3 × 2 = 6.
5/8 of 16 will be
5 of the 2s. 5 × 2 = 10.
Year 4

20. If there are 24 pieces of tomato how many should go on each slice?
Day 3: Find unit and non-unit fractions of amounts.
If there are 24 pieces of tomato how many should go on each slice?
We can find 1/8 of 24 by dividing 24 by 8.
24 ÷ 8 = ?
3 pieces on each slice!
Year 4

21. Let’s show that on a bar model.
Day 3: Find unit and non-unit fractions of amounts. 24 3 3 3 3 3 3 3 3
Let’s show that on a bar model.
Use the bar model to find 3/8 of 24 and 5/8 of 24.
Today would be a great day to use the problem-solving investigation – Foodie Fractions – as the group activity, which you can find in this unit’s IN-DEPTH INVESTIGATION box on Hamilton’s website.
Alternatively, children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download on our website.
WT: Finding fractions of 24 using visual support.
ARE: Finding fractions of 24.
GD: Finding fractions of 24 and 36.
That’s easier than drawing a pizza!
Year 4

22. The Practice Sheet on this slide is suitable for most children.
You can download differentiated PRACTICE WORKSHEETS from Hamilton’s website in this unit’s PROCEDURAL FLUENCY box.
WT: Finding unit and non-unit fractions of amounts.
ARE: Finding unit and non-unit fractions of amounts.
GD: Finding unit and non-unit fractions of amounts and Challenge.
Challenge
Year 4

23. Decimals and Fractions Find unit and non-unit fractions of amounts
Revise fractions
Find unit and non-unit fractions of amounts
Well Done! You’ve completed this unit.
Objectives
Day 1
Count in 1⁄4s, 1⁄3s, 1⁄8s and 1⁄10s saying equivalent fractions.
Day 2
Find unit and non-unit fractions of amounts.
Day 3
You can now use the Mastery: Reasoning and Problem-Solving questions to assess children’s success across this unit. Go to the next slide.
Year 4

24. Problem solving and reasoning questions
Bea counts in quarters starting at one quarter. She says five numbers then stops. What number should she say next?
Fill in the missing fractions:
11/2, 2, 21/2, 3, , 4, , 5
4, 33/4, 31/2, , 3, , 21/2
8/10, 9/10, , , 12/10
Write all the fraction facts for tenths of 60.
1/10 of 60 = 2/10 of 60 = etc. to 10/10
Use this bar diagram
to help find answers
1/8 of 48 = (ii) 3/8 of 48 = (iii) 7/8 of 48 =
Is 1/10 of 50 the same as 1/5 of 100? 48
Year 4