One million is composed of one thousand thousands. 1,000 × 1,000 = 1,000,000 We write one million as a one followed by six zeros.

When we unitise, we treat groups that contain, or represent, the same numbers of things as ‘units’ or ‘ones’.

A power of 10 is when 10 is multiplied by itself a certain number of times.

Subtract multiples of powers of 10 crossing the millions boundary

Maths

Determine the value of digits in numbers up to 10 million

Compare numbers with up to eight digits

Use knowledge of the composition of seven-digit numbers to solve problems

Add and subtract mentally without bridging a boundary

Add multiples of powers of 10 crossing the millions boundary

Composition of seven-digit numbers

Using patterns in counting sequences

Estimate and identify numbers on number lines

Solving problems using column addition and subtraction

In this unit pupils will estimate the value and position of numbers, including negative numbers, on unmarked or partially marked number lines and calculate intervals across 0. In the future unit pupils will use their knowledge of the composition of seven-digit numbers to solve problems, adding and subtracting numbers whilst crossing the millions boundary.

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

In this unit pupils will use representations to identify and explain patterns in powers of 10 and read numbers with up to 7 digits efficiently. They will order and compare numbers with up to 8 digits and calculate with numbers of this scale.

Order, compare and calculate with numbers up to 8 digits

Match the subtraction equations to the difference.

Match the subtraction equation to the correct difference.

Aisha is thinking of a number. Her number is 500,000 less than 3,200,000 What number is she thinking of?

Lucas has scored 5,000,000 points during his computer game. He then gets captured and loses seventy thousand points. How many points does he have now?

Match the equation to the correct difference.

Aisha and Lucas play a game. Lucas wins 800 points and Aisha wins 4,200 points. How many more points does Aisha have?

Lucas thinks of a number. His number is 600 less than 9,200 what is the number that he is thinking of?

Subtract multiples of powers of 10 crossing the millions boundary

Lesson outcome