Module 2 Knowing and using number facts
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Can I recall multiplication and division facts for the 2, 3, 4, 5 and 10 times-tables?

Example review questions

  • What multiplication and division facts does this array show?
    A rectangle split into 10 equal segments.
  • How many fours give the same answer as eight threes?
  • If I have 30p in 5p coins, how many coins do I have?
  • How many threes make 21?
  • How many sides do six triangles have altogether? What multiplication fact do you use to answer this problem?
  • Find some division calculations that have the answer 4. How did you do this?
  • How many multiplication calculations can you write with the answer of 24?

Teaching guidance

This teaching guidance document suggests some of the key vocabulary, models, images and practical equipment that children should experience and be able to use. It also includes some teaching tips to provide a few starting points for ways of supporting children with this area of mathematics.

DOC file Can I recall multiplication and division facts for the 2, 3, 4, 5 and 10 times-tables? - teaching guidance | 160KB new window

Consolidation and practice

These resources are to support children in guided or independent work. Roll over the highlighted resources for a description.

PDF file How to use multiplication facts ITP | 108KB new window

SWF file Multiplication facts ITP | 26KB new window

PDF file How to use grouping ITP | 157KB new window

SWF file Grouping ITP | 20KB new window

PDF file How to use number dials ITP | 128KB new window

SWF file Number dials ITP | 38KB new window

PDF file How to use multiplication board ITP | 212KB new window

SWF file Multiplication board ITP | 34KB new window

PDF file How to use multiplication tables ITP | 74KB new window

SWF file Multiplication tables ITP | 29KB new window

Multiplication facts

itp_multiplication_facts.png

This interactive teaching program (ITP) is an ICT-based tool to support the exploration of multiplication and division. Multiplication facts ITP allows the child or teacher to represent multiplication facts as a rectangular array and as steps on a number line.

Grouping

itp_grouping.png

This interactive teaching program (ITP) is an ICT-based tool to support the exploration of division. Grouping ITP allows the child or teacher to model division as grouping and to link this process to jumps on a number line. It can also be used to introduce children to remainders and to apply their knowledge through setting similar problems that can be solved using the image displayed.

Number dials

itp_number_dials.png

This interactive teaching program (ITP) is an ICT-based tool to support the exploration and recall of multiplication and division facts. Number dials ITP allows the child or teacher to generate sets of products of a central number and numbers from 1 to 10. The ITP can be used to practise multiplying and dividing by one-digit and two-digit whole numbers and decimals.

Multiplication board

itp_multiplication_board.png

This interactive teaching program (ITP) is an ICT-based tool to support the exploration of multiplication and division facts. Multiplication board ITP allows the child or teacher to represent the product of two numbers as an array, displaying the product and factors.

Multiplication tables

itp_multiplication_tables.png

This interactive teaching program (ITP) is an ICT-based tool to support the exploration of multiplication facts. Multiplication tables ITP allows the child or teacher to set up one or more multiplication tables, hiding or revealing either of the factors or the product. Decimal numbers can be explored using the keypad.

XLS file Problems Year 3 | 63KB new window

XLS file Multiplication and division facts 2 to 5 | 46KB new window

DOC file Multiplication facts pupil record sheet | 47KB new window

PDF file Springboard 4, Unit 5 Understanding multiplication and division | 202KB new window

Opportunities to use and apply

Possible contexts include:

  • word problems, including those that involve money and measures, e.g. A theatre ticket costs £6. How much will four tickets cost?
  • number patterns and sequences, e.g. Fill in the gaps, using this multiplication fact: 4 × 3 = 12.
    4 × Empty box = 120
    4 × Empty box = 1200
  • finding fractions of amounts, e.g. Find 1/4 of £28.
  • number problems and puzzles, e.g. Find two numbers that add up to 10 and multiply to give 24.
  • reading scales, e.g. What weight is on the scales? How did you work this out?
    A close up of a weighing scale. The weight shown is 14 grammes.
  • interpreting pictograms, e.g. How many children walked to school?
    A pictogram displaying how children travel to school. Three children go by car. 10 children travel by bus. 10 children walk. Five children ride their bikes into school.

Confirming learning

Use probing questions and prompts such as:

  • How many fives make the same number as three tens?
  • Complete this number sentence in as many ways as you can.
    20 ÷ Empty box = Empty box
  • 6 × Empty box = 18
    What is the missing number? What division sentence matches this multiplication sentence?
  • Is 354 a multiple of 10, 5 or 2? Explain how you know.
  • The answer to 4 × circle lies between 25 and 35. What numbers could go in the circle?
  • How can you use the fact 7 × 3 = 21 to find the answer to 7 × 6?