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.

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.

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Lesson details

Key learning points

  1. A representation helps to identity the parts and wholes.
  2. A representation helps to identify a missing part.
  3. 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 (2024), 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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6 Questions

Q1.
Select the values that could be labelled as parts in this equation: 980 = 100 + 880
980
Correct answer: 100
Correct answer: 880
Q2.
What is the missing addend in this bar model?
An image in a quiz
Correct Answer: 16
Q3.
0.8 + 0.15 + 0.05 = 1 Which other combination of three parts has the same whole?
0.9 + 0.15 + 0.01
Correct answer: 0.9 + 0.05 + 0.05
Correct answer: 0.6 + 0.25 + 0.15
0.7 + 0.05 + 0.05
Q4.
Complete this equation. bl = lg + × w
An image in a quiz
Correct Answer: 6
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
Correct Answer: 4,350
Q6.
Complete the column addition to find the sum.
An image in a quiz
Correct Answer: 31.55

6 Questions

Q1.
This model has one unknown. What is the correct missing part?
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q2.
True or false. If there are three parts equivalent to the blue rod, there is only solution for the missing part.
An image in a quiz
Correct answer: True
False
Q3.
Which equation represents this image?
An image in a quiz
Correct answer: p + w + ___ = bl
p + bl + w = ___
bl + ___ + p = w
Q4.
Which equations represent this image?
An image in a quiz
Correct answer: lg + ___ + lg + w = o
o + lg + lg = w + ___
Correct answer: o = lg + lg + w + ___
Correct answer: o = 2 × lg + w + ___
Q5.
There is only one known part in this bar model. How many possible unknown parts could there be?
An image in a quiz
0
Correct answer: 1
Correct answer: 2
Correct answer: 3
Correct answer: 4
Q6.
Tick the equations that could represent this bar model.
An image in a quiz
Correct answer: r + r + w + w + w + ___ = o
Correct answer: 2 × r + 3 × w + ___ = o
Correct answer: 2 × r + 3 × w + ___ + ___ = o
o = w + w + r + r + r + ___