Year 9: 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 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.
• 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.
• 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.

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 omplete the challenge. There are two pages. Try to write rules such as 2×x+2×(x-1) without the multiplication signs.
• 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

• Go to the activity Patterns and designs.
• Complete only Question 3 of this challenge.