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 (2022)

  • 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.

Task 1: Negative numbers around us

Students contextualise negative integers in a variety of situations.

Task 2: Language of loss and gain board game

Students explore the language of loss and gain to contextualise negative and positive integers.

Task 3: Zero pairs counter modelling (visuals or models)

Students use coloured counters to develop an understanding of addition and subtraction of positive and negative integers.

Task 4: Close to zero

Students use a board game to reinforce their understanding of negative and positive integers.

Task 5: Up, down, flying around

Students consolidate their knowledge of directed numbers by using a vertical number line.

Task 6: Integer quick draw

Students apply additive thinking with negative and positive integers.

Task 7: Tug of integers

Students compete to get to either end of the number line by adding and subtracting positive and negative integers.

Task 8: Connect 3

Students roll two dice by adding and subtracting positive and negative integers to get three in a row.

Task 9: Finding zero with opposites

Students conceptualise how zero is created by adding a positive number to the same size negative number.

Category:

  • Numeracy

Business Unit:

  • Teaching and Learning Support
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