1. Home

Year 9: week 1 (linear equations and patterns)

Thanks for visiting NZMaths.
We are preparing to close this site by the end of August 2024. Maths content is still being migrated onto Tāhūrangi, and we will be progressively making enhancements to Tāhūrangi to improve the findability and presentation of content.
 

For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths

This week we focus on finding rules for linear relationships, graphing linear relationships, and solving linear equations.

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

Day 1

Solving linear equations

Patterns e-ako

  • Go to the Problem Solving pathway in e-ako maths.
  • Choose Deep Thinking (the third yellow button in the fourth row). 
  • Work through pages 1-12 which are about finding relating climbing patterns to graphs of those patterns.
  • Explain to a family member; “Which creature is climbing in a linear pattern? Which creature is most likely to escape the well first? Why?”

Patterns Activity

  • Go to the activity Stacking Patterns.
  • Complete the task then check your answers at the bottom of this page. 
  • Are the three stacking patterns linear? Explain why.

Day 2

Solving linear equations

Patterns e-ako

  • Go back to Deep Thinking on the Problem Solving pathway in e-ako maths. 
  • Work through pages 13 -15 which are about predicting how the creatures will climb for times, 4, 5, and 6 hours.
  • On page 16, Choose the snail to investigate how that creature climbs. After you complete page 58 you are taken back to page 16.
  • Explain to a family member; “Why is the growth pattern of the snail linear? What does the formula h = 2t + 5 mean?”

Patterns activity

  • Go to the activity Stick Houses.
  • Complete the task then check your answers at the bottom of this page.
  • Are the stick house patterns linear? Explain why.

Day 3

Solving linear equations

Patterns e-ako

  • Go back to Deep Thinking on the Problem Solving pathway in e-ako maths. 
  • Go back to page 16, Choose the frog to investigate how that creature climbs. 
  • Explain to a family member; “What is the climbing pattern of the frog?" 

Patterns Activity

  • Go to the activity Where to sit? and follow the instructions. You may need to draw diagrams of the desk arrangements on isometric paper.
  • Check your answers at the bottom of this page.

Day 4

Solving linear equations

Patterns e-ako

  • Go back to page 16 of Deep Thinking on the Problem Solving pathway in e-ako maths. 
  • Choose the spider to investigate how that creature climbs. After page 35 the right arrow takes you back to page 16 again.
  • Explain to a family member; “What is meant by a periodic function?”

Patterns activity

  • Go to the activity Mats, patterns and rules and complete the challenge. There are two pages. Try to write rules such as 2×x+2×(x-1) without the multiplication signs.
  • Check your answers at the bottom of this page.
  • Show a family member how to use a spreadsheet to continue linear patterns.

Day 5

Solving linear equations

Patterns e-ako

  • Go back to page 16 of Deep Thinking on the Problem Solving pathway in e-ako maths. 
  • Choose Gordon, the gecko, then the Wally the weta to investigate how each creature climbs.
  • After you return to page 16 finally, choose the checked flag to finish the e-ako.
  • Explain to a family member; “What is meant by powers of two?”

Patterns activity