When we estimate, we find a value that is close enough to the right answer, usually with some thought or calculation involved.

The midpoint is the middle of something - in this case the middle of a number line. It is the point halfway along.

Estimate and identify numbers on number lines

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

Subtract multiples of powers of 10 crossing the millions boundary

Composition of seven-digit numbers

Using patterns in counting sequences

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

Look at the number line. Match the letters to the number that they represent.

Look at the number line. Identify the number represented by the letter ‘a’.

Look at this section of a number line. Estimate the value of the number that the arrow is pointing to.

Look at the number line. What number is represented by the letter ‘a’?

Look at the number line. Find the sum of ‘a’ and ‘b’.

Look at the number line. Find the difference between ‘a’ and ‘c’.

Estimate and identify numbers on number lines

Lesson outcome