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
- 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.