Commutativity - Both Versions

Content Name

Commutativity - Both Versions

Content Type

Partner Content

Description

This video explores the concept of Commutativity through the use of visualisations. It reveals how addition and multiplication are commutative, and that subtraction and division are not.

Curricula

• Country

  England

  Key Stage:

  Key Stage 1, Key Stage 2

  Years:

  Year 2, Year 3, Year 4

  Subjects:

  • Mathematics

  Topics:

  • Number - addition and subtraction
  • Number - multiplication and division

  Programmes of Study:

  • recognise and use factor pairs and commutativity in mental calculations
  • show that addition of 2 numbers can be done in any order (commutative) and subtraction of 1 number from another cannot
  • show that multiplication of 2 numbers can be done in any order (commutative) and division of 1 number by another cannot

• Country

  Northern Ireland

  Key Stage:

  Key Stage 1, Key Stage 2

  Years:

  P3, P4, P5

  Subjects:

  • Mathematics and Numeracy

  Topics:

  • Number
  • Number: Operations and their Applications
  • Number: Patterns, Relationships and Sequences in Number

  Programmes of Study:

  • Understand the commutative property of addition (turnarounds, e.g., if 2+8=10, then 8+2=10).
  • Understand the concept of inverse operations.
  • Understand the relationship between addition and subtraction.

• Country

  Scotland

  Level:

  First, Second

  Years:

  P3, P4, P5

  Subjects:

  • Numeracy and Maths

  Topics:

  • Number, Money and Measure

  Programmes of Study:

  • I can compare, describe and show number relationships, using appropriate vocabulary and the symbols for equals, not equal to, less than and greater than.
  • Having explored the patterns and relationships in multiplication and division, I can investigate and identify the multiples and factors of numbers.

• Country

  Wales

  Step:

  PS 2, PS 3

  Years:

  Year 2, Year 3, Year 4

  Subjects:

  • Mathematics and Numeracy

  Topics:

  • The number system is used to represent and compare relationships between numbers and quantities.

  Programmes of Study:

  • I can use the four arithmetic operations confidently, efficiently and accurately with integers and decimals, and I can combine these using distributive, associative and commutative laws where appropriate.
  • I can verify calculations and statements about number by inverse reasoning and approximation methods.
  • I am beginning to estimate and check the accuracy of my answers, using inverse operations when appropriate.
  • I have explored additive relationships, using a range of representations. I can add and subtract whole numbers, using a variety of written and mental methods.
  • I have explored and can use my understanding of multiplicative relationships to multiply and divide whole numbers, using a range of representations, including sharing, grouping and arrays.

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