# Multiplication and Division - PowerPoint PPT Presentation

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## Multiplication and Division

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### Multiplication tables. Understand division is the inverse of ... Knowledge of times tables. Partitioning. Grid method. Expanded method of formal multiplication ... – PowerPoint PPT presentation

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Title: Multiplication and Division

1
• Multiplication and Division
• Session 2

2
Strategy game
3
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?

4
Mental Calculation Skills
• Counting
• Doubling
• Halving
• Partitioning
• Multiplication tables
• Understand division is the inverse of
multiplication
• Knowing related facts
• Rounding

5
Related facts
6
Inverse operations

18

6
3
x
7
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?

8
Beat the teacher!
9
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.
expanded layout.)

10
Activity
• Look at sheet entitled Mathematics Framework
Renewed Expectations
• Look through and find the relevant scaling
up of expectations for Multiplication/ Division.

11
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?

12
Stages in Multiplication
• Arrays- visual models
• Number line - repeated add
• Knowledge of times tables
• Partitioning
• Grid method
• Expanded method of formal multiplication
• Formal multiplication

13
Stages in Division
• Arrays
• Number line- repeated subtraction/ count up
• Use of known facts and knowledge of multiples.
• Chunking
• Short division/long division.

14
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.