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Overview of Addition and Subtraction Growth Points
Overview of Addition and Subtraction Growth Points
As students move through the Addition and Subtraction growth points they become increasingly able to use adaptive computational strategies to solve a range of problems. Students begin counting by counting all using concrete materials in growth points 0 and 1, to transitioning to more flexible strategies of calculation, by representing and visualising counting on and counting back in growth points 2 and 3, to generalising and using abstract models at growth point 4 and above.
To support students from moving from concrete materials to becoming flexible in using more advanced strategies, it is important to screen concrete models to build students’ mental imagery and provide opportunities for students to explain their strategies and test their conjectures to build abstract reasoning and generalisations.
The following table provides teachers with a framework to identify the strategies a student uses to calculate.
Addition and Subtraction Growth Points
Addition and Subtraction Growth Points
Count back/count down to/count up from
Given a subtraction situation, chooses appropriately from strategies including count back, count down to and count up from.
Basic strategies (doubles, commutativity, adding 10, tens facts, other known facts)
Given an addition or subtraction problem, strategies such as doubles, commutativity, adding 10, tens facts and other known facts are evident.
Derived strategies (near doubles, adding 9, build to next ten, fact families, intuitive strategies)
Given an addition or subtraction problem, strategies such as near doubles, adding 9, build to the next ten. Fact families and intuitive strategies are evident.
Extending and applying addition and subtraction using basic, derived and intuitive strategies
Given a range of tasks (including multi-digit numbers), can solve them mentally, using the appropriate strategies and a clear understanding of key concepts.
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