New
New
Year 6

Use part-part-whole structures to solve additive problems in a range of contexts

I can use knowledge of part-part-whole structures to solve additive problems in a range of contexts.

New
New
Year 6

Use part-part-whole structures to solve additive problems in a range of contexts

I can use knowledge of part-part-whole structures to solve additive problems in a range of contexts.

warning

These resources will be removed by end of Summer Term 2025.

Switch to our new teaching resources now - designed by teachers and leading subject experts, and tested in classrooms.

Lesson details

Key learning points

  1. A representation helps to make sense of an equation or problem.
  2. A bar model can be used to help solve additive problems.
  3. A part-whole model can be used to identify the equation needed to solve an additive problem.

Keywords

  • Represent - To represent something means to show something in a different way.

Common misconception

Pupils struggle to find a way into solving the number puzzles at first.

It is important that pupils can identify what the whole is for each problem. Encourage pupils to draw a bar model to help link the problem to its part and wholes. This may help them identify the parts and whole and how to calculate any missing parts.

Once pupils have completed the problems for themselves, encourage them to have a go at creating their own puzzles for a friend to tackle. Also exploring wider contexts for problems that have a missing part will continue to deepen their understanding of where this structure is found in real life.
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

Loading...

6 Questions

Q1.
How many metres are equivalent to 1 kilometre? ___m = 1 km
10
100
Correct answer: 1,000
10,000
Q2.
Match the number to the missing part of the statement to make it correct.
Correct Answer:1 l is equivalent to ___ millilitres,1,000

1,000

Correct Answer:£1 is equivalent to ___ pence,100

100

Correct Answer:1,000 g is equivalent to ___ kg,1

1

Q3.
Match the bar model to the correct equation it represents.
An image in a quiz
Correct Answer:Bar model A,254 = 179 + 75

254 = 179 + 75

Correct Answer:Bar model B,75 + 104 = 179

75 + 104 = 179

Correct Answer:Bar model C,254 + 75 = 329

254 + 75 = 329

Q4.
Complete the column addition to find the sum.
An image in a quiz
Correct Answer: 10.11
Q5.
Complete the column subtraction to find the difference.
An image in a quiz
Correct Answer: 1.39
Q6.
What is the difference between 7.65 and 6.98? Use a counting on strategy.
Correct Answer: 0.67

6 Questions

Q1.
What is the missing addend in this part of the puzzle?
An image in a quiz
Correct Answer: 385
Q2.
In this puzzle, each row and column sum to six. What are the correct missing numbers?
An image in a quiz
A = $$2\frac{3}{4}$$
Correct answer: A = $$1\frac{3}{4}$$
Correct answer: B = $$2\frac{1}{4}$$
B = $$3\frac{1}{4}$$
Q3.
In this puzzle, each row and column sum to 14.5. What are the correct missing numbers?
An image in a quiz
B = 2.3
A = 2.5
Correct answer: B = 2.6
Correct answer: A = 2.2
Q4.
The 326 pupils in the school are divided into four houses. How many pupils are in Oak house?
An image in a quiz
Correct Answer: 76
Q5.
The table shows the number of pupils taking part in each event at Sports day. Calculate the missing value A.
An image in a quiz
Correct Answer: 16
Q6.
The table shows the number of pupils taking part in each event at Sports day. Calculate the missing value B.
An image in a quiz
Correct Answer: 81