New
New
Year 6
Problem solving using knowledge of the composition of powers of 10
I can solve problems using knowledge of the composition powers of 10
New
New
Year 6
Problem solving using knowledge of the composition of powers of 10
I can solve problems using knowledge of the composition powers of 10
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
- An understanding of the composition of the powers of 10 supports us when we solve problems.
- If we know one-quarter of 1,000 is 250, we know one-quarter of 1,000 thousands (1,000,000) is 250 thousands (250,000)
- Just as with smaller numbers, word problems can be represented visually as a bar model.
- A bar model supports us to form an equation to then solve.
Keywords
Million - One million is composed of 1,000 thousands. One million is written as a one followed by six zeros.
Common misconception
Children may misinterpret a word problem especially where they are insecure on the key words such as 'difference' or 'how much more'.
Teacher should model own thoughts when problem solving and encourage children to represent the word problems in a bar model. Construct bar models alongside a retelling of the problem so children can see where the mathematics is found.
Encourage children to visualise each problem - talk about what they see in their heads when they visualise it. Children will need to be confident in unitising and be able to relate the composition of 1,000 and 10,000 to 1 million and 10 million.
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...
Starter quiz
Download starter quiz
6 Questions
Q1.
Look at the bar model and complete the sentence. Each part has a value of ___
10
100
200
500
Q2.
Look at the bar model and complete the sentence. Each part has a value of ___
1,000
2,000
5,000
Q3.
Complete the sentence. is one-tenth of 1,000
Q4.
Look at the bar model. Which equations can be formed from the bar model?
1,000 × 4 = ?
? ÷ 4 = 1,000
Q5.
Laura thinks of a number. She says, “One-tenth of my number is 200”. What number is Laura thinking of?
20
200
20,000
200,000
Q6.
A and B represent different numbers on the number line. What is the difference between the two numbers?
Exit quiz
Download exit quiz
6 Questions
Q1.
Complete the sentence. If 250 is one-quarter of 1,000 then must be one-quarter of 1,000 thousands.
Q2.
If 2,000 is a fifth of 10,000 and 20,000 is a fifth of 100,000 then is one-fifth of 1,000,000
Q3.
A detached house sells for £1,000,000 and a terrace house sells for one-fifth times this amount. How much does the terrace house sell for? The terrace house sells for £
Q4.
A detached house sells for £1,000,000 and a terrace house sells for one-fifth times this amount. How much more does the detached house sell for? The detached house is £ more.
Q5.
A detached house sells for £1,000,000
This is one-tenth of what a castle sells for. How much does the castle sell for? The castle sells for £
Q6.
A detached house sells for £1,000,000
This is one-tenth of what a castle sells for. How much more expensive is the castle? The castle is £ more.