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Year 2 Maths Patterns & Algebra

Number Patterns

A number pattern is a sequence of numbers that follow a rule. Finding the rule lets you predict what comes next.

Counting Up (Increasing)

Each number is bigger than the last. We add the same amount each time.

2 +3 5 +3 8 +3 11

Rule: add 3 each time

Counting Down (Decreasing)

Each number is smaller than the last. We subtract the same amount each time.

20 −4 16 −4 12 −4 8

Rule: subtract 4 each time

Skip Counting Patterns

Skip counting creates patterns. These are useful for multiplication too!

2s: 0, 2, 4, 6, 8, 10, 12 ...

5s: 0, 5, 10, 15, 20, 25 ...

10s: 0, 10, 20, 30, 40, 50 ...

Finding the Rule

To find the rule, look at what changes between each number:

3, 6, 9, 12, ___

6 − 3 = 3, 9 − 6 = 3

Rule: add 3. Next: 15

Patterns on a Hundred Chart

Patterns look amazing on a hundred chart. The 5s column always ends in 0 or 5. The 2s column always ends in an even number.

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
2s (even) 5s

Key Vocabulary

pattern — a sequence of numbers that follow a rule
rule — the instruction that tells us how to get from one number to the next
increasing — getting bigger (counting up)
decreasing — getting smaller (counting down)

Knowledge Check

Question 1

What comes next in this pattern? 5, 10, 15, 20, ___

Question 2

What is the rule for this pattern? 30, 27, 24, 21, 18, ...

Question 3

Find the missing number: 4, 8, 12, ___, 20, 24

Question 4

Mia writes: 3, 6, 9, 12, 16, 19. Has she made a mistake?

Lesson Summary