New
New
Explain how a combination of different parts can be equivalent to the same whole
I can explain how a combination of different parts can be equivalent to the same whole.
Lesson 1 of 10
New
New
- Year 6
Explain how a combination of different parts can be equivalent to the same whole
I can explain how a combination of different parts can be equivalent to the same whole.
Lesson details
Key learning points
- The same whole can be composed in different ways.
- Different ways of composing the whole are equivalent.
- Expressions can be used to express the combinations of different parts of the whole.
Keywords
Equivalent - Two expressions are equivalent if they have the same value.
Common misconception
Pupils may look at each rod as representing a number rather than focusing on the colour.
Remind pupils that the rods have no numerical value and encourage pupils discuss the rods by their colour name. They may notice proportional relationships but these should not be labelled numerically.
If pupils are unfamiliar with number rods, ensure pupils take time to play with the rods and explore them for themselves, becoming familiar with how they can represent equivalence. Online tools could be used to allow pupils to manipulate number rods.
Teacher tip
Licence
This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Select the values that could be labelled as parts in this equation: 500 = 150 + 350
Select the values that could be labelled as parts in this equation: 500 = 150 + 350
500
Q2.Which of the following expressions are equivalent to 5 + 5 + 5?
Which of the following expressions are equivalent to 5 + 5 + 5?
1 × 5
5 × 5
Q3.0.3 + 0.1 + 0.6 = 1 Which other combination of three parts has the same whole?
0.3 + 0.1 + 0.6 = 1 Which other combination of three parts has the same whole?
0.4 + 0.2 + 0.7
0.3 + 0.2 + 0.6
Q4.Complete the statement: If I know 1.7 + 8.3 = 10 then I know + 7.3 = 10
Complete the statement: If I know 1.7 + 8.3 = 10 then I know + 7.3 = 10
Q5.Select two addends which sum to make 1,000
Select two addends which sum to make 1,000
175
300
675
Q6.Lucas and some of his friends drank some water. Lucas drank 0.25 l of water, Sofia drank 130 ml, and Andeep drank 0.3 l. How much water did they drink in total? Give your answer in ml. ml
Lucas and some of his friends drank some water. Lucas drank 0.25 l of water, Sofia drank 130 ml, and Andeep drank 0.3 l. How much water did they drink in total? Give your answer in ml. ml
Assessment exit quiz
6 Questions
Q1.Two expressions are _________ if they have the same value.
Two expressions are _________ if they have the same value.
different
adjacent
Q2.Which equations match this image?
Which equations match this image?
y = r + blk
r = y + blk
Q3.Which equations match this image?
Which equations match this image?
y = br + r + w
r + w = br + y
Q4.Which equation matches this image?
Which equation matches this image?
o × 5 = r
r × o = 5
Q5.Which bar model represents this equation? o = 2 × p + r
Which bar model represents this equation? o = 2 × p + r
Q6.Complete this equation. bl = lg + × r
Complete this equation. bl = lg + × r
