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

Additive strategies

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

Task outline

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).