Week Six - Mane 24th Mei

Today we looked at patterns. We saw three ways to represent these:

• Using diagrams - these often show where patterns come from.
  
• Using a list of numbers such as 4, 7, 10, 13 ... Since we are adding 3 we know the next number should be 16
  
• Using a formula such as 3n + 1. A formula is the best of these as it can show us what comes next and what comes much much later.

For example we can use the formula to find the first 4 terms:

• When n=1 then 3n+1 = 3+1 = 4
• When n=2 then 3n+1 = 6+1 = 7
• When n=3 then 3n+1 = 9+1 = 10. These are the same numbers as the pattern above
• However with a formula we can also find when n=100 then 3n+1 = 300+1 = 301 which is the 100th number in the pattern.

Homework: 9.07

On Friday we will have the test. There will be a revision session at morning tea before it.