Year 9: week 2 (linear relationships and integers)

This week we focus on connecting equations and graphs of linear relationships, and working with integers.

This page suggests activities for each day. Click to download a printable PDF to help keep track of progress.


Day 1

Locating coordinates

  • Go to the learning object Plasers: choose coordinates (+).
  • The game helps you to remember how coordinates work and practises adding integers (positive and negative numbers)
  • Spend at least ten minutes playing the game.

Integers e-ako

  • Go to the additive thinking pathway in e-ako maths.
  • Choose e-ako AS4:50 (the 5th yellow button in the fourth row). 
  • Work through pages 1-10 which are about adding integers.
  • Explain to a family member; “What happens when you add a negative number?”

Integers Activity

  • Go to the activity Learning to Drive and answer the questions. 
  • Check your answers at the bottom of this page.
  • How is going back forty years like adding -40?

Day 2

Locating coordinates

Integers e-ako

  • Go back to e-ako AS4:50 on the additive thinking pathway in e-ako maths.
  • Work through pages 11-20 which are subtracting integers.
  • Explain to a family member; “When does subtracting a negative number have the same effect as adding a positive number?”

Integers activity

  • Go to the activity Walking the Plank. You will need to create two dice to play the game or alter two dice with stickers.
  • Record the results of your games.
  • Check your answers at the bottom of this page.
  • Explain to a family member; "How is facing the boat, and walking backwards three paces, like subtracting -3?" 

Day 3

Locating coordinates

  • Go to the learning object Plasers: choose coordinates (+/-).
  • In this version the plane has positive and negative numbers. Can you figure out how the four quadrants work?
  • Spend at least ten minutes playing the game.

Integers e-ako

  • Go to the additive thinking pathway in e-ako maths.  
  • Choose e-ako AS4:60 (the 6th yellow button in the fourth row). 
  • Work through pages 1-9 which are about a dollars and debts model for integers.
  • Explain to a family member; “Why does losing a debt have the same effect as getting more money?”

Integers Activity


Day 4

Locating coordinates

Integers e-ako

  • Go back to e-ako AS4:60 on the additive thinking pathway in e-ako maths.
  • Work through pages 10-15 which are about subtracting integers with a dollars and debts model.
  • Does subtracting a number always make the answer smaller than the number you start with? Explain this to someone else.

Integers activity


Day 5

Graphing equations

Integers e-ako

  • Go back to e-ako AS4:60 on the additive thinking pathway in e-ako maths.
  • Work through pages 16-25 which are about subtracting integers with a dollars and debts model.
  • What are the rules for adding and subtracting integers? Explain these rules to someone else. Give some examples.

Integers activity