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- Multiplication and Division
- Session 2

Strategy game

Mental strategies for Multiplication/Division

- 46 X 2 58 2
- 42 X 50 756 2
- 36X 25 500 4
- 18 X 15 700 20
- 16 X 19 4.2 6
- 36 X 7
- What mental strategies would we be teaching?

Mental Calculation Skills

- Counting
- Doubling
- Halving
- Partitioning
- Multiplication tables
- Understand division is the inverse of

multiplication - Knowing related facts
- Rounding

Related facts

Inverse operations

18

6

3

x

Supporting the learning of division facts

Using tables trios

?

- I am thinking of a tables trio. Two of the

numbers are 48 and 6. What is the third number? - One of the numbers is 56. What could the other

two numbers be? - What are the four facts associated with this

trio?

Beat the teacher!

Progression towards a compact written method

- Establish mental methods, based on a good

understanding of place value/ known facts. - Present calculations in horizontal format
- Show children how to set out calculations,

vertically using expanded layouts that record

their mental methods. - As children become more confident, reduce the

stages and refine written methods into a more

compact method. Children need to have time to

reinforce a method learnt using appropriate

numbers. - Extend to larger numbers and to decimals.

(Children may initially need to return to a more

expanded layout.)

Activity

- Look at sheet entitled Mathematics Framework

Renewed Expectations - Look through and find the relevant scaling

up of expectations for Multiplication/ Division.

Stages in progression

- What are some of the ways of helping children

with the following - Brainstorm ways to solve the following using a

written calculation. - 5 x 6 287 9
- 23x5
- 30 5
- What sorts of stages would you go through?
- Show early understanding to more advanced.
- Which methods would not be appropriate?

Stages in Multiplication

- Arrays- visual models
- Number line - repeated add
- Knowledge of times tables
- Partitioning
- Grid method
- Expanded method of formal multiplication
- Formal multiplication

Stages in Division

- Arrays
- Number line- repeated subtraction/ count up
- Use of known facts and knowledge of multiples.
- Chunking
- Short division/long division.

Guidance on calculation

- Use the new guidance on written calculations as

well as the new framework booklet- Core

learning in mathematics by strand . - 1. Create a user friendly stages in progression

for the four operations for your staff. Talk to

the people on your table and use it as the

beginnings of a written calculations policy. It

then needs to be taken to staff for discussion

and agreement.