Year 10: week 1 (linear equations and patterns)

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