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

Starter quiz

A part is defined as:
- all of something
- some, but not all of something ✓
When we have all of something, it is known as the ______.
- 'whole' ✓
Match the factors to their product.
- 3 x 10 =
  
  ⇔
  
  30 ✓
- 5 x 10 =
  
  ⇔
  
  50 ✓
- 3 x 4 =
  
  ⇔
  
  12 ✓
- 5 x 4 =
  
  ⇔
  
  20 ✓
- 8 x 2 =
  
  ⇔
  
  16 ✓
If one-half is a part, then the whole is ______ times as much. Take ______ parts and combine them to make one whole.
- 'two' ✓
If a part is one-sixth of the whole, how many equal parts are there in the whole?
- '6' ✓
The part is a rectangle. It is one third of the whole. Complete the table. There will be ______ equal parts in the whole.
- '3' ✓

Exit quiz

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.
- '4' ✓
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.
- '8' ✓
Look at this table, complete the missing section.
- '5' ✓
Who has the most marbles in their whole set?
- Lucas ✓
- Sofia
Look at the line segments, which whole line would be longer?
- 'Line B' ✓
Which whole box of toy cars contains more toy cars?
- 'Box A' ✓

Worksheet

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Lesson Details

Key learning points

If two parts are the same size, but a different fraction of the whole, the whole with the most parts will be greater.
If two parts are different, but are the same fraction of the whole, the whole with the larger part will be greater.
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.