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  5. Year 10: week 2

Year 10: week 2 (linear relationships and exponents)

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This week we focus on finding rules for linear relationships, and working with exponents (powers of numbers).

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 Plasers: choose coordinates (+/-).
  • In this version the plane has positive and negative numbers. Can you figure out how the four quadrants work?
  • Spend at least ten minutes playing the game.

Problem Solving e-ako

  • Go to the Problem Solving pathway in e-ako maths.
  • Choose King Arthur's problem (the third yellow button in the second row). 
  • Work through pages 1-7.
  • Explain to a family member; “How does King Arthur choose only one knight to marry his daughter?”

Exponents activity

  • Go to the activity Powerful Thought and complete the task, using a calculator if necessary.
  • Check your answers at the bottom of this page.

Day 2

Solving linear equations

  • Go to the learning object Plasers: enter an equation (+).
  • Spend at least ten minutes playing the game.
  • Try to work out how changing the numbers in the boxes affects the laser line.

Problem Solving e-ako

  • Go back to King Arthur’s Problem on the Problem solving pathway in e-ako maths.
  • You may need to use the simulator on Page 7 to remind you of the safe seats to sit in.
  • Work through pages 8-10 and try to figure out a pattern.
  • On page 10 click on the “Try Simpler Cases” path and answer the questions on page 13.
  • When you return to page 10, choose “Try Every Case” to see what happens.
  • Explain to a family member why trying every case is not sensible.

Exponents activity

  • Go to the activity Cubic Capacity 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 to the learning object Plasers: enter an equation (+/-).
  • Spend at least ten minutes with the learning object.
  • Can you work out the effect on the laser line of changing the numbers in the boxes?

Problem Solving e-ako

  • Go back to King Arthur’s Problem on the Problem solving pathway in e-ako maths.
  • Go to Page 10 and click on the “Create a Table to look for a Pattern” path.
  • Work through to page 20.

Exponents activity

  • Go to the task called Growing Pains and complete the challenge.
  • Check your answers at the bottom of this page.
  • Explain to a family member how powers of three are involved in the challenge.

Day 4

Solving linear equations

  • Go to the learning object Plasers: place bubbles (+)
  • Spend at least ten minutes with the learning object.
  • Can you use the equation to work out coordinates that lie on the line?

Problem Solving e-ako

  • Go back to King Arthur’s Problem on the Problem solving pathway in e-ako maths and go to page 21.
  • Work through to page 24.
  • Have you got a rule for the seat a knight should choose? Explain your rule to a family member.

Exponents activity

  • Go to the task called Fold and Crease and complete the task.
  • Check your answers at the bottom of this page.
  • Write how you found a rule for the number of creases and sections. Explain your strategy to another person.

Day 5

Solving linear equations

  • Go to the learning object Plasers: place bubbles (+/-).
  • Spend at least ten minutes with the learning object.
  • Write down an example of how you find coordinates that a linear equation passes through.

Problem Solving e-ako

  • Go back to King Arthur’s Problem on the Problem solving pathway in e-ako maths and go to page 25.
  • Complete the e-ako.
  • Can you write instructions for a brave knight about where to sit?

Exponents activities

  • Go to the task called Pip’s Pay and complete the challenge.
  • Check your answers at the bottom of this page.
  • Explain to a family member what how repeated doubling affects the amount of money. In real life that is called interest.
  • Go to the rich task Power Play and complete the challenge, using a calculator if necessary.
  • Scroll down the page to see how other students solve the challenge.