Additive strategies

Learning intention

Students will learn to select and apply effective strategies and incorporate reasoning when offering solutions to problems involving additive thinking.

Syllabus outcome

  • MAO-WM-01 develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly
  • MA3-RN-01 applies an understanding of place value and the role of zero to represent the properties of numbers
  • MA3-AR-01 selects and applies appropriate strategies to solve addition and subtraction problems

National Numeracy Learning Progression

The full National Numeracy Learning Progression details are included in the resource, available for download on this page.

Additive strategies

  • AdS7 - Flexible strategies with two-digit numbers
  • AdS8 - Flexible strategies with three-digit numbers and beyond

Task outline

Full task descriptions are included in the resource, available for download on this page.

Task 1: What do you notice and wonder?

Students solve number problems using flexible strategies (2 activities).

Task 2: Addition wheel

Students use an addition wheel to develop a variety of strategies to solve number problems (4 activities).

Task 3: Target number

Students try to record as many different equations (number sentences) that have a specified target number as the total (3 activities).

Task 4: Finding numbers

Students use their knowledge of additive strategies to develop alternative equations (number sentences) (one activity).

Task 5: Closest to 100

Students to use a range of additive thinking to reach the number 100 (3 activities).

Task 6: Dicey addition

Students use understanding of place value to create number sentences where the closest to 100 wins (4 activities).

Task 7: Four strikes and you’re out!

Students use a mathematical version of ‘Hangman' to think and reason numerically to solve a problem (2 activities).


  • Numeracy

Business Unit:

  • Educational Standards
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