A sequence is a succession of objects, diagrams or values usually formed according to a rule.

Each number in a sequence is called a term. Each term has a position - a location in the sequence.

Using patterns in counting sequences

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

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

Look at this sequence of numbers. What number will come next?
287,700	288,700	289,700    {{ }}

Look at this sequence of numbers. What is the next term in the sequence?
982,300	981,300	980,300    {{ }}

Aisha counts on in 100,000s from 1,409,320 What number will she say next?

Look at this sequence of numbers, which are increasing by the same amount each step. What must each step be worth?
0, ___, ___, ___, 120,000

Look at this sequence of numbers, which are increasing by the same amount each step. What must each step be worth?
120,000, ___, ___, ___, 360,000

Look at this sequence of numbers, which are increasing by the same amount each step. What would the second term be?
2,400,000, ___, ___, 3,000,000

If we count up in 1,000s, what number would come next after 9,000?

What is the missing number in this counting pattern?
20,000, 40,000, {{ }}, 80,000, 100,000

If we count back in 100s, what number would we say after 1,000?

What is the missing number in this counting pattern?
35,000, 30,000, {{ }}, 20,000

Match the subtraction equation to its difference.

Using patterns in counting sequences

Lesson outcome