Starter question – to be done on the mini-whiteboard. BLOCK 1 How many lights will there be in 1) 2 blocks? 2) 4 blocks? 3) 10 blocks? Write a rule for the total number of lights for any amount of blocks. ALWAYS SHOW YOUR WORKING OUT!

QUESTION…mini-whiteboards How many lights will there be in 1) 3 blocks? 2) 5 blocks? 3) 20 blocks? Write a formula for the total number of lights for any amount of blocks. ALWAYS SHOW YOUR WORKING OUT!

We are going to make this pattern together and fill out Q1 on the worksheet.

TASK 1 Complete the sheet TASK 2 – Challenge Questions 1) Find a formula for the number of little triangles for any amount of blocks: 1 block 2 blocks 3 blocks 2) What do you recognise this as: 5, 10, 15, 20, 25, … Find a rule for it that uses algebra.

TO FINISH: What is the formula for the total number of shapes in this pattern? 1 block 2 blocks 3 blocks TRY TO BUILD UP TO 3n + 2!!!

The rule for a pattern is 2 x n. What might the first block look like? What will 2 blocks look like? Students are allowed to draw on the sheet. They have 3 minutes. Then they stick them up on windows/lockers/board What will 3 blocks look like?

The rule for a pattern is 2 x n. What does your first block look like? What will 2 blocks look like? Students are allowed to draw on the sheet. They have 3 minutes. Then they stick them up on windows/lockers/board What will 3 blocks look like?

You are given the rule. Like we have just done you need to draw 1 block of your pattern 2 blocks 3 blocks MAKE SURE THEY STICK TO THE RULE!

The rule for a pattern is 3 x n. The rule for a pattern is 4 x n. The first block looks like: The first block looks like: 2 blocks looks like: 2 blocks looks like: 3 blocks looks like: 3 blocks looks like:

The rule for a pattern is 6 x n. CHALLENGE: The rule for a pattern is The first block looks like: The first block looks like: 2 blocks looks like: 2 blocks looks like: 3 blocks looks like: 3 blocks looks like:

TASK 1 TASK 2 – Challenge Questions Stick your poster on a window or wall when you are done for others to look at later on. TASK 2 – Challenge Questions 1) Draw a shape pattern using the formula 4 x n + 2? 2) Create a sequence of numbers from (i) 8 x n (ii) 3 x n + 4 You might need to draw a shape pattern to help you get the numbers first.