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**

- Go to the learning object Visual Linear Algebra version 2.
- Look at
- Spend at least ten minutes solving simple 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**

- Go to the activity Family Likenesses and complete the task.
- Check your answers at the bottom of this page.

**Day 2**

**Solving linear equations**

- Go to the learning object Visual Linear Algebra version 3.
- Look at
- Spend at least ten minutes 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**

- Go back to the learning object Visual Linear Algebra version 3.
- Spend at least ten minutes solving simple 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
*c*omplete 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**

- Go to the learning object Visual Linear Algebra version 4.
- Look at
- Spend at least ten minutes 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**

- Go back to the learning object Visual Linear Algebra version 4.
- Spend at least ten minutes solving simple 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.