Flexible strategies with integers
Learning intention
Students will learn to work with and apply their knowledge of directed number (positive and negative numbers) in a variety of contexts.
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.
- MA4-INT-C-01: compares, orders and calculates with integers to solve problems.
National Numeracy Learning Progression
The full National Numeracy Learning Progression details are included in the resource, available via the Universal Resources Hub.
NPV9: Number and place value
CPr8: Counting processes
AdS7–AdS8: Additive strategies
Task outline
Full task descriptions are included in the resource, available via the Universal Resources Hub.
Negative numbers around us
Students contextualise negative integers in a variety of situations.
Language of loss and gain board game
Students explore the language of loss and gain to contextualise negative and positive integers.
Zero pairs counter modelling (visuals or models)
Students use coloured counters to develop an understanding of addition and subtraction of positive and negative integers.
Close to zero
Students use a board game to reinforce their understanding of negative and positive integers.
Up, down, flying around
Students consolidate their knowledge of directed numbers by using a vertical number line.
Integer quick draw
Students apply additive thinking with negative and positive integers.
Tug of integers
Students compete to get to either end of the number line by adding and subtracting positive and negative integers.
Connect 3
Students roll 2 dice by adding and subtracting positive and negative integers to get three in a row.
Finding zero with opposites
Students conceptualise how zero is created by adding a positive number to the same size negative number.