New
New
Year 3

# Use knowledge of the relationship between parts and wholes to solve problems

I can use knowledge of the relationship between parts and wholes to solve problems.

New
New
Year 3

# Use knowledge of the relationship between parts and wholes to solve problems

I can use knowledge of the relationship between parts and wholes to solve problems.

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## Slide deck

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## Lesson details

### Key learning points

1. If two parts are the same size, but a different fraction of the whole, the whole with the most parts will be greater.
2. If two parts are different, but are the same fraction of the whole, the whole with the larger part will be greater.
3. If the size of the part and the fraction of the whole are different, we need to calculate to determine which is greater.

### Common misconception

Children may confuse the different methods used to compare fractions of amounts and their wholes.

Guide through questioning. What is the same/different? Can you represent this visually? What is the size/value of the parts? What fraction of the whole is each part?

### Keywords

• Times as much - Times as much is a phrase that is used to compare and describe objects.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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## Worksheet

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## Starter quiz

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### 6 Questions

Q1.
A part is defined as:
all of something
Correct answer: some, but not all of something
Q2.
When we have all of something, it is known as the .
Correct Answer: whole, hole
Q3.
Match the factors to their product.
Correct Answer:3 x 10 =,30

30

Correct Answer:5 x 10 = ,50

50

Correct Answer:3 x 4 =,12

12

Correct Answer:5 x 4 =,20

20

Correct Answer:8 x 2 =,16

16

Q4.
If one-half is a part, then the whole is times as much. Take parts and combine them to make one whole.
Correct Answer: two, 2, to, too
Q5.
If a part is one-sixth of the whole, how many equal parts are there in the whole?
Correct Answer: 6, six
Q6.
The part is a rectangle. It is one third of the whole. Complete the table. There will be equal parts in the whole.
Correct Answer: 3, three

## Exit quiz

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### 6 Questions

Q1.
If one-quarter is a part, then the whole is times as much. We need to take parts and put them together to make one whole.
Correct Answer: 4, four, for
Q2.
If one-eighth is a part, then the whole is times as much. We need to take parts and put them together to make one whole.
Correct Answer: 8, eight, ate
Q3.
Look at this table, complete the missing section.
Correct Answer: 5, five
Q4.
Who has the most marbles in their whole set?
Correct answer: Lucas
Sofia
Q5.
Look at the line segments, which whole line would be longer?
Correct Answer: Line B, B
Q6.
Which whole box of toy cars contains more toy cars?
Correct Answer: Box A, A, a