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’. Being able to unitise is key in understanding place value.

Add 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

Subtract 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

If 800 plus 600 = 1,400, then 800 thousand and 600 thousand = {{ }} thousand

Starting with the expression with the smallest sum, put these in order of their sum.

In a computer game, Aisha has 3,800,000 points and Lucas has 400,000. How many points do they have in total?

Lucas is thinking of a number. His number is 900,000 more than 6,700,000 What number is he thinking of?

Aisha and Lucas play a game. Lucas wins 900 points and Aisha wins 8,700 points. How many points do they have in total?

Lucas thinks of a number. His number is 561,000 more than 3,102,134    What number is Lucas thinking of? 

Add multiples of powers of 10 crossing the millions boundary

Lesson outcome