Multiplication and division facts

Maths Year 4
This unit is part of Year 4 Flexible Maths Blocks Multiplication and Division and Year 4 Maths Planning Multiplication and Division

Planning and Activities

Day 1 Teaching
Revise the 4 times table, giving multiplication facts and asking children to write matching divisions. Then double the products to generate the 8 times table. Revise division facts here as well.
Group Activities
Multiply by 4 and by 8 to revise the times table facts.

Day 2 Teaching
Remind children how we used the 4 times table to generate the 8 times table. Show how we can use the 3 times table to generate the 6 times table. Revise division facts in both tables.
Group Activities
Multiply by 3 and use this to multiply by 6.

Day 3 Teaching
Launch ITP Function Blocks. Use this to generate division by 3. Can children work out the function? Repeat with the functions ÷ 4, ÷ 5, ÷ 6 and ÷ 8.
Group Activities
Use the in-depth problem-solving investigation ‘Function Machines’ from NRICH as today’s group activity. Or, use these activities:
Find hidden functions to multiply and divide by 3, 4, 5, 6 and 8.

You Will Need

  • 0–12 cards
  • Coins
  • Flipchart
  • 24 cards
  • ITP: Function Blocks
  • Post-it notes
  • ‘Mystery Function Machines’ (see resources)

Mental/Oral Maths Starters

Day 1
4 times table (pre-requisite skills)

Day 2
3 times table, division facts (pre-requisite skills)

Day 3
6 times table (pre-requisite skills)

Worksheets

Day 1
Use 4 times table multiplication and division facts to find 8 times table multiplication and division facts.

Day 2
Double 3 times table facts to find 6 times table facts.

Day 3
Complete function machines for the 3, 4, 5, 6 and 8 times tables.

Mastery: Reasoning and Problem-Solving

  • Write 48 in the middle of a space and circle it. Draw 10 spider legs out from it. Write 10 multiplication or division sentences using this number, e.g. 48 ÷ 6 = 8.
  • What times table is this? Explain what number ‘a’ stands for.
    6 × a = 20 + a
    8 × a = 30 + half of a
  • Always true, sometimes true or never true?
    -- In one times table, there are only two possible ones digits in the answers.
    -- 3 times a number is an odd number.
    -- All answers in the 4x table are even.
    -- Answers in the 3x table are also in the 6x table.
    -- Answers in the 8x table are also in the 4x table.

In-depth Investigation: Function Machines
Can you work out the three processes in the function machine? Function Machines from nrich.maths.org.

Extra Support

Clever Counting
3 and 4 times tables. Linking multiplication and division