Number, Addition and Subtraction
Spine 1 of the Primary Mastery Professional Development Materials
Introduction
The Number, Addition and Subtraction spine is divided into 31 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.
For some segments, there’s also an introductory video summing up what each segment covers.
The following PDF offers an overview of the complete Number, Addition and Subtraction spine, including a synopsis of each segment.
Year 1
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Comparison of quantities and measures
Spine 1: Number, Addition and Subtraction – Topic 1.1
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Introducing 'whole' and 'parts': part–part–whole
Spine 1: Number, Addition and Subtraction – Topic 1.2
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Composition of numbers: 0–5
Spine 1: Number, Addition and Subtraction – Topic 1.3
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Composition of numbers: 6–10
Spine 1: Number, Addition and Subtraction – Topic 1.4
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Additive structures: introduction to aggregation and partitioning
Spine 1: Number, Addition and Subtraction – Topic 1.5
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Additive structures: introduction to augmentation and reduction
Spine 1: Number, Addition and Subtraction – Topic 1.6
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Addition and subtraction: strategies within 10
Spine 1: Number, Addition and Subtraction – Topic 1.7
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Composition of numbers: multiples of 10 up to 100
Spine 1: Number, Addition and Subtraction – Topic 1.8
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Composition of numbers: 20–100
Spine 1: Number, Addition and Subtraction – Topic 1.9
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Composition of numbers: 11–19
Spine 1: Number, Addition and Subtraction – Topic 1.10
Year 2
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Addition and subtraction: bridging 10
Spine 1: Number, Addition and Subtraction – Topic 1.11
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Subtraction as difference
Spine 1: Number, Addition and Subtraction – Topic 1.12
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Addition and subtraction: two-digit and single-digit numbers
Spine 1: Number, Addition and Subtraction – Topic 1.13
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Addition and subtraction: two-digit numbers and multiples of ten
Spine 1: Number, Addition and Subtraction – Topic 1.14
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Addition: two-digit and two-digit numbers
Spine 1: Number, Addition and Subtraction – Topic 1.15
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Subtraction: two-digit and two-digit numbers
Spine 1: Number, Addition and Subtraction – Topic 1.16
Year 3
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Composition and calculation: 100 and bridging 100
Spine 1: Number, Addition and Subtraction – Topic 1.17
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Composition and calculation: three-digit numbers
Spine 1: Number, Addition and Subtraction – Topic 1.18
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Securing mental strategies: calculation up to 999
Spine 1: Number, Addition and Subtraction – Topic 1.19
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Algorithms: column addition
Spine 1: Number, Addition and Subtraction – Topic 1.20
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Algorithms: column subtraction
Spine 1: Number, Addition and Subtraction – Topic 1.21
Year 4
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Composition and calculation: 1,000 and four-digit numbers
Spine 1: Number, Addition and Subtraction – Topic 1.22
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Composition and calculation: tenths
Spine 1: Number, Addition and Subtraction – Topic 1.23
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Composition and calculation: hundredths and thousandths
Spine 1: Number, Addition and Subtraction – Topic 1.24
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Addition and subtraction: money
Spine 1: Number, Addition and Subtraction – Topic 1.25
Year 5
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Composition and calculation: multiples of 1,000 up to 1,000,000
Spine 1: Number, Addition and Subtraction – Topic 1.26
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Negative numbers: counting, comparing and calculating
Spine 1: Number, Addition and Subtraction – Topic 1.27
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Common structures and the part–part–whole relationship
Spine 1: Number, Addition and Subtraction – Topic 1.28
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Using equivalence and the compensation property to calculate
Spine 1: Number, Addition and Subtraction – Topic 1.29
Year 6
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Composition and calculation: numbers up to 10,000,000
Spine 1: Number, Addition and Subtraction – Topic 1.30
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Problems with two unknowns
Spine 1: Number, Addition and Subtraction – Topic 1.31
Acknowledgements
The NCETM and Maths Hubs would like to thank the following for their contribution to the materials:
- Primary mathematics specialists: Martin Adsett, Joanna Caisová, Adrian Cannell, Clare Christie, Suzanne Coxon, Katie Crozier, Jonathan East, Claire Gerrard, Rebeka Goh, Rebecca Holland, Alison Hopper, Elizabeth Lambert, Viv Lloyd, Debbie Morgan, Sally O'Brien, Emma Patman, Cat Stone, Valda Varadinek-Skelton, Debbie Weible, Andrew Whitehead
- Educational consultant: Dr Alf Coles, University of Bristol
- Editorial and production: Liam Benson, Design and Define; Nicholas Bromley; Rachel Houghton; Jalita Jacobsen; David Mantovani; Emily Marchant; Sam Radford; Cheryl Stirr; Yvette Sturdy, DiGiV8 Ltd; Andrew Young
- Illustrations: Steve Evans; Alphablocks Ltd (1.1 Comparison of quantities and measures, step 2:2, image 1; 1.3 Composition of numbers: 0–5, step 1:1, image 1; 1.4 Composition of numbers: 6–10, step 1:1, image 1)