# 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.

### 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

• Go to the activity Family Likenesses and complete the task.

### 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

• 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.
• 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.