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subject-maths

Extending calculation strategies and additive reasoning

Year 6 • Maths
We've put the lessons in order helping you build on what you've learned before so it’s best to start with the first lesson of a unit.

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These lessons will be removed by end of Summer Term 2025.

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1
Adjusting addends
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2
Same sum' with larger numbers
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3
Same sum' with decimals
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4
Balancing equations using the 'same sum' strategy
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5
Balancing equations using compensation
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6
Balancing equations: Does the order of addends matter?
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7
Increasing an addend
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8
Decreasing an addend
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9
Solve calculations mentally by relating them to known facts
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10
Find an unknown addend
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11
Introduction to same difference
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12
Same difference in context
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13
Use the Language of Minuend, Subtrahend, and Difference
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14
Transform calculations using the same difference
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15
Practice: Transforming Calculations to Make Them Easier to Solve Mentally
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16
Transform a subtraction calculation to make the written algorithm easier to apply
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17
Practice: 'Same Difference' in Different Contexts
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18
Balancing equations to find unknown values
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19
Explore how the difference changes when only the Minuend is changed
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20
Apply the generalisation about how the minuend and difference change to solve problems
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21
Explore how the generalisation can be used as a mental calculation strategy using Known facts
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22
Thinking flexibly
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23
Comparing Strategies
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24
The more we subtract, the less we are left with. The less we subtract...
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25
Contexts where the Minuend is Kept the Same, and the Subtrahend Increases
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26
Contexts where the minuend is kept the same, and the Subtrahend decreases
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27
Further practice to reason about how the change in the subtrahend changes the difference
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28
Explore problems in which the new difference must be found
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29
Balance Equations Where the Compensation Property of Same Sum Cannot Efficiently be Applied
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30
Balance Equations Where the Compensation Property of Same Difference Cannot Efficiently be Applied
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