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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.
    (Children may initially need to return to a more
    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.
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