Counting, unitising and coins
Spine 2: Multiplication and Division – Topic 2.1
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Multiplication and Division
Spine 2 of the Primary Mastery Professional Development Materials
Introduction
The Multiplication and Division spine is divided into 30 segments. For each of these segments we have produced a detailed teacher guide, including text and images.
The images are also presented as animated PowerPoint slides, which further enhance teacher knowledge and can be used in the classroom (for best results, please view these in ‘Slideshow’ view; for some slides, supporting notes are provided in the ‘Notes’ section).
These materials are not, in any way, lesson plans, but they can be used in conjunction with a high-quality mastery textbook to support planning.
The following PDF offers an overview of the complete Multiplication and Division spine, including a synopsis of each segment.
Year 1
Year 2
Structures: multiplication representing equal groups
Spine 2: Multiplication and Division – Topic 2.2
Times tables: groups of 2 and commutativity (part 1)
Spine 2: Multiplication and Division – Topic 2.3
Times tables: groups of 10 and of 5, and factors of 0 and 1
Spine 2: Multiplication and Division – Topic 2.4
Commutativity (part 2), doubling and halving
Spine 2: Multiplication and Division – Topic 2.5
Structures: quotitive and partitive division
Spine 2: Multiplication and Division – Topic 2.6
Year 3
Times tables: 2, 4 and 8, and the relationship between them
Spine 2: Multiplication and Division – Topic 2.7
Times tables: 3, 6 and 9, and the relationship between them
Spine 2: Multiplication and Division – Topic 2.8
Times tables: 7 and patterns within/across times tables
Spine 2: Multiplication and Division – Topic 2.9
Year 4
Connecting multiplication and division, and the distributive law
Spine 2: Multiplication and Division – Topic 2.10
Times tables: 11 and 12
Spine 2: Multiplication and Division – Topic 2.11
Division with remainders
Spine 2: Multiplication and Division – Topic 2.12
Calculation: multiplying and dividing by 10 or 100
Spine 2: Multiplication and Division – Topic 2.13
Multiplication: partitioning leading to short multiplication
Spine 2: Multiplication and Division – Topic 2.14
Division: partitioning leading to short division
Spine 2: Multiplication and Division – Topic 2.15
Multiplicative contexts: area and perimeter 1
Spine 2: Multiplication and Division – Topic 2.16
Structures: using measures and comparison to understand scaling
Spine 2: Multiplication and Division – Topic 2.17
Year 5
Using equivalence to calculate
Spine 2: Multiplication and Division – Topic 2.18
Calculation: ×/÷ decimal fractions by whole numbers
Spine 2: Multiplication and Division – Topic 2.19
Multiplication with three factors and volume
Spine 2: Multiplication and Division – Topic 2.20
Factors, multiples, prime numbers and composite numbers
Spine 2: Multiplication and Division – Topic 2.21
Combining multiplication with addition and subtraction
Spine 2: Multiplication and Division – Topic 2.22
Year 6
Multiplication strategies for larger numbers and long multiplication
Spine 2: Multiplication and Division – Topic 2.23
Division: dividing by two-digit divisors
Spine 2: Multiplication and Division – Topic 2.24
Using compensation to calculate
Spine 2: Multiplication and Division – Topic 2.25
Mean average and equal shares
Spine 2: Multiplication and Division – Topic 2.26
Scale factors, ratio and proportional reasoning
Spine 2: Multiplication and Division – Topic 2.27
Combining division with addition and subtraction
Spine 2: Multiplication and Division – Topic 2.28
Decimal place-value knowledge, multiplication and division
Spine 2: Multiplication and Division – Topic 2.29
Multiplicative contexts: area and perimeter 2
Spine 2: Multiplication and Division – Topic 2.30
Acknowledgements
The NCETM and Maths Hubs would like to thank the following for their contribution to the materials:
- Primary mathematics specialists: Joanna Caisová, Adrian Cannell, Clare Christie, Katie Crozier, Jonathan East, Claire Gerrard, Rebecca Holland, Alison Hopper, Elizabeth Lambert, Conor Loughney, Suzanne Mathews, Debbie Morgan, Sally O'Brien, Alexandra Parry, Georgia Ryan, Cat Stone, Debbie Weible, Andrew Whitehead
- Educational consultant: Dr Alf Coles, University of Bristol
- Editorial and production: Liam Benson, Design and Define; Nicholas Bromley; Charlotte Christensen; Tracey Cowell, Passion for Publishing; Rachel Houghton; Jalita Jacobsen; Bill Mantovani; David Mantovani; Sam Radford; Rosie Stewart, Swales & Willis; Cheryl Stirr; Yvette Sturdy, DiGiV8 Ltd; Rachel Trolove, Trolove Engineering Solutions Ltd; Andrew Young
- Illustrations: Steve Evans; Alphablocks Ltd
