Year 10: week 1 (linear equations and patterns)

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Relevant and up-to-date teaching resources are being moved to Tāhūrangi (tahurangi.education.govt.nz). 
When all identified resources have been successfully moved, this website will close. We expect this to be in June 2024. 
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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 One Bad Apple (the first yellow button in the fourth row). 
  • Work through pages 1-11 which are about finding efficient rules for linear patterns and graphing those patterns.
  • Explain to a family member; “Why are some patterns are called linear?”

Patterns activity


Day 2

Solving linear equations

Patterns e-ako

  • Go back to One Bad Apple on the Problem Solving pathway in e-ako maths
  • On page 11 choose the button labelled "Corner arrangement".
  • Work through pages 12-15.
  • Page 15 gives two different ways to explore the pattern. Investigate both ways before you return to the menu.
  • Explain to a family member why the corner pattern is not linear.

Patterns activity

  • Go to the activity Island Roads and complete the task.
  • Check your answers at the bottom of this page.
  • What is the connection between Island Roads and the corner pattern for One Bad Apple?
  • Explain that connection to a family member.

Day 3

Solving linear equations

Patterns e-ako

  • Go back to One Bad Apple on the Problem Solving pathway in e-ako maths
  • On page 11 choose the button labelled "Line arrangement".
  • Work through page 23.
  • Page 24 gives two different ways to explore the pattern. Investigate both ways before you return to the menu.
  • Explain to a family member why the corner pattern is a quadratic pattern.

Patterns activity

  • Go to the activity Table Tennis and complete the task.
  • Check your answers at the bottom of this page.
  • Explain to a family member how a table tennis draw relates to Island Roads and the corner pattern of One Bad Apple.

Day 4

Solving linear equations

Patterns e-ako

  • Go back to One Bad Apple on the Problem Solving pathway in e-ako maths
  • On page 11 choose the button labelled "Open arrangement".
  • Page 35 gives two different ways to explore the pattern. Investigate both ways before you click on “Finish this e-ako”
  • Explain to a family member why the open pattern is also a quadratic pattern.

Patterns activity

  • Go to the activity Counting Cubes and complete the task.
  • Check your answers at the bottom of this page.
  • Explain to a family member what cubic numbers are.

Day 5

Solving linear equations

Patterns activities

  • Go to the rich task Diagonals and scroll down to Activity.
  • Complete the challenge then check your answers at the bottom of the page.
  • Go to Domino Stacks and complete the challenge.
  • Check your answers at the bottom of this page