New
New
Identify the missing part using knowledge of relationships and structures
I can identify the missing part using knowledge of part whole relationships and structures.
Lesson 3 of 10
New
New
- Year 6
Identify the missing part using knowledge of relationships and structures
I can identify the missing part using knowledge of part whole relationships and structures.
Lesson details
Key learning points
- A representation helps to identity the parts and wholes.
- A representation helps to identify a missing part.
- A representation helps to identify the calculation needed to find the missing part.
Keywords
Equivalent - Two or more things are equivalent if they have the same value.
Solution - A solution is a value, or set of values, that can be put in place of an unknown which makes the equation true.
Common misconception
Pupils think that the missing part(s) must be a different colour rod to those parts already used within the example.
Provide pupils with various examples, in particular examples where there are two or more of the same part, drawing on the repeated addition/multiplicative structure not just the additive structure.
Ensure you are explicit about the number of parts each whole is made up of when asking pupils to find the missing part(s). Pupils may find multiple solutions if this is not clear and therefore not work towards the initial generalisation.
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).
Prior knowledge starter quiz
6 Questions
Q1.Select the values that could be labelled as parts in this equation: 980 = 100 + 880
Select the values that could be labelled as parts in this equation: 980 = 100 + 880
980
Q2.What is the missing addend in this bar model?
What is the missing addend in this bar model?

Q3.0.8 + 0.15 + 0.05 = 1 Which other combination of three parts has the same whole?
0.8 + 0.15 + 0.05 = 1 Which other combination of three parts has the same whole?
0.9 + 0.15 + 0.01
0.7 + 0.05 + 0.05
Q4.Complete this equation. bl = lg + × w
Complete this equation. bl = lg + × w

Q5.Alex was training for a swimming race. On Monday he swam 1,500 m. On Wednesday he swam 1,350 m and on Friday he swam 1,500 m. How far did he swim? m
Alex was training for a swimming race. On Monday he swam 1,500 m. On Wednesday he swam 1,350 m and on Friday he swam 1,500 m. How far did he swim? m
Q6.Complete the column addition to find the sum.
Complete the column addition to find the sum.

Assessment exit quiz
6 Questions
Q1.This model has one unknown. What is the correct missing part?
This model has one unknown. What is the correct missing part?




Q2.True or false. If there are three parts equivalent to the blue rod, there is only solution for the missing part.
True or false. If there are three parts equivalent to the blue rod, there is only solution for the missing part.

False
Q3.Which equation represents this image?
Which equation represents this image?

p + bl + w = ___
bl + ___ + p = w
Q4.Which equations represent this image?
Which equations represent this image?

o + lg + lg = w + ___
Q5.There is only one known part in this bar model. How many possible unknown parts could there be?
There is only one known part in this bar model. How many possible unknown parts could there be?

0
Q6.Tick the equations that could represent this bar model.
Tick the equations that could represent this bar model.

o = w + w + r + r + r + ___