Multiplication & division

The 2, 5 and 10 Times Tables

Year 1 · Year 2

  • By the end of this lesson students will be able to count in multiples of 2, 5 and 10.
  • By the end of this lesson students will be able to recall multiplication facts for the 2, 5 and 10 times tables.
  • By the end of this lesson students will be able to understand that multiplication is repeated addition.
  • By the end of this lesson students will be able to solve simple multiplication problems using the 2, 5 and 10 times tables.

Key concepts

Counting in Multiples

When we count in multiples, we are adding the same number over and over again. For example, counting in 2s means adding 2 each time: 2, 4, 6, 8, 10. Counting in 5s means adding 5 each time: 5, 10, 15, 20. Counting in 10s means adding 10 each time: 10, 20, 30, 40.

The 2 Times Table

The 2 times table is about 'groups of 2' or 'doubling'. It helps us find out how many there are when we have lots of pairs. For example, 3 groups of 2 is 6 (2 + 2 + 2 = 6). We write this as 3 x 2 = 6.

The 5 Times Table

The 5 times table is about 'groups of 5'. It's useful for counting things like fingers on a hand or coins. For example, 4 groups of 5 is 20 (5 + 5 + 5 + 5 = 20). We write this as 4 x 5 = 20.

The 10 Times Table

The 10 times table is about 'groups of 10'. It's very helpful for counting in tens, like ten-pence coins. For example, 2 groups of 10 is 20 (10 + 10 = 20). We write this as 2 x 10 = 20.

Multiplication as Repeated Addition

Multiplication is a quicker way to do repeated addition. Instead of writing 2 + 2 + 2 + 2 + 2, we can write 5 x 2. Both give us the answer 10. The 'x' symbol means 'groups of' or 'multiplied by'.

Key facts to remember

  • 1Counting in 2s means adding 2 each time (e.g., 2, 4, 6, 8...).
  • 2Counting in 5s means adding 5 each time (e.g., 5, 10, 15, 20...).
  • 3Counting in 10s means adding 10 each time (e.g., 10, 20, 30, 40...).
  • 4The 2 times table is about doubling a number.
  • 5Numbers in the 5 times table always end in 0 or 5.
  • 6Numbers in the 10 times table always end in 0.
  • 7Multiplication is a quick way to do repeated addition.
  • 8The order of the numbers in multiplication does not change the answer (e.g., 2 x 5 is the same as 5 x 2).

Worked examples

Example 1

Count in 2s from 0 up to 12.

IStart at 0.
IIAdd 2 to 0 to get 2.
IIIAdd 2 to 2 to get 4.
IVAdd 2 to 4 to get 6.
VAdd 2 to 6 to get 8.
VIAdd 2 to 8 to get 10.
VIIAdd 2 to 10 to get 12.

Answer

0, 2, 4, 6, 8, 10, 12

This shows how counting in multiples is like repeated addition.

Example 2

There are 3 plates. Each plate has 5 biscuits. How many biscuits are there in total?

IWe have 3 groups of 5 biscuits.
IIThis means we need to add 5 three times: 5 + 5 + 5.
III5 + 5 = 10.
IV10 + 5 = 15.
VSo, 3 groups of 5 is 15. We can write this as 3 x 5 = 15.

Answer

15 biscuits

Drawing the plates and biscuits can help you visualise the groups.

Example 3

A packet of pencils has 10 pencils. If you buy 4 packets, how many pencils do you have?

IWe have 4 groups of 10 pencils.
IIThis means we need to add 10 four times: 10 + 10 + 10 + 10.
III10 + 10 = 20.
IV20 + 10 = 30.
V30 + 10 = 40.
VISo, 4 groups of 10 is 40. We can write this as 4 x 10 = 40.

Answer

40 pencils

Remember that numbers in the 10 times table always end in a zero.

Common mistakes

  • Missing a number when counting in multiples (e.g., 2, 4, 8, 10 instead of 2, 4, 6, 8, 10).
  • Confusing the times tables (e.g., using a 5s fact for a 2s problem).
  • Not understanding that 'x' means 'groups of' or 'multiplied by'.
  • Starting counting from 1 instead of 0 or the first multiple when asked to count from 0.

Exam tips

  • Practise counting forwards and backwards in 2s, 5s and 10s regularly.
  • Use your fingers, draw pictures, or use objects to help you count groups when solving problems.
  • Look for the patterns in the numbers for each times table (e.g., 5s end in 0 or 5, 10s end in 0).
  • Say the times tables out loud to help you remember the facts quickly.

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