When we partition a value or object, we split it into smaller parts.

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

Maths

Determine the value of digits in numbers up to 10 million

Compare numbers with up to eight digits

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

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

Complete the equation to show partitioning. 2,190,513 = 2,000,000 + 100,000 + {{ }} + 500 + 10 + 3

Complete the equation to show partitioning. 5,901,142  = 5,000,000 + {{ }} + 1,000 + 100 + 40 + 2

Complete the equation to show partitioning. 469,231 = {{ }} + 200 + 31 + 1

Complete the equation to show partitioning. 2,031,450 = 2,000,000 + {{ }} + 400 + 51

Complete this subtraction equation to ‘zap’ the digit 2 from the number 1,324,003  Remember this means subtract the value of the 2 in the number.
1,324,003 - {{ }} = 1,304,003

Complete this subtraction equation to ‘zap’ the digits ‘94’ from the number 9,450,603  Remember this means subtract the value of the 94 in the number.
9,450,603 - {{ }} = 50,603

Complete this equation to show partitioning of 5,603
5,603 = 5,000 + {{ }} + 3

Complete this equation to show partitioning of 12,928
12,928 = 12,000 + {{ }} + 8

In the number 1,503,924 the value of the digit five is __________.

In the number 1,503,924 the value of the digit three is __________.

In which of these numbers is the digit ‘6’ worth 60 thousand?

What number is represented in this part of a Gattegno chart? Write your answer as a numeral.

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

Lesson outcome