One million is composed of 1,000 thousands. One million is written as a one followed by six zeros.

Problem solving using knowledge of the composition of powers of 10

Maths

Powers of 10 and their multiples

Composition of one million and 10 million

Read and write numbers up to 10 million

Representing numbers up to 10 million

 In this unit pupils will identify and place the position of 6-digit multiple of one thousand numbers on a marked, but unlabelled, number line. They will read scales by using their knowledge of the composition of 10000 and 100000. In the future unit pupils will use representations to identify and explain patterns in powers of 10 and read numbers with up to 7 digits efficiently.

In the prior unit pupils explained how one hundred thousand can be composed and read and wrote numbers up to one million. In this unit pupils will identify and place the position of 6-digit multiple of one thousand numbers, on a marked, but unlabelled number line They will read scales in graphing and measures contexts by using their knowledge of the composition of 10000 and 100000. 

In this unit pupils will identify and place the position of 6-digit multiple of one thousand numbers, on a marked, but unlabelled number line They will read scales in graphing and measures contexts by using their knowledge of the composition of 10,000 and 100,000.

Understand place value within numbers with up to 7 digits

Complete the sentence. If 250 is one-quarter of 1,000 then {{ }} must be one-quarter of 1,000 thousands.

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

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 £{{ }}

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.

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 £{{ }} 

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.

Look at the bar model and complete the sentence. Each part has a value of ___

Complete the sentence. {{ }} is one-tenth of 1,000

Look at the bar model. Which equations can be formed from the bar model?

Laura thinks of a number. She says, “One-tenth of my number is 200”. What number is Laura thinking of?

A and B represent different numbers on the number line. What is the difference between the two numbers?

Problem solving using knowledge of the composition of powers of 10

Lesson outcome