Pattern and Function

Patterns in Times Tables

Using a circle divided equally into 10 sections you can make patterns.  Look at these videos to see them.

Growing Patterns

Look at this picture.  Can you explain how it is a growing pattern?  What would come next?

Now try this one!

How is this pattern growing?  Can you work out a rule for it?  What about using numbers to explain it?
Recording your information in a table will help you the most.

Pattern Game

There are so many cool patterns in our world that all have a function.  This page will have great videos, interactive activities and much more all related to pattern and function.  First, let's start with this video.

 

The Handshake Problem

How can you use your knowledge of pattern and function to work out the 'How many handshakes?' problem?
Look at these animations to guide you through the investigation. (Click the picture)
Remember the investigation process, itself, is very important and there are many different ways to solve it.  Below is how 2 Year 3 girls answered the question.  Have you got a better way?

 

 

Pascal's Triangle

 

One of the most interesting Number Patterns is Pascal's Triangle (named after Blaise Pascal, a famous French Mathematician and Philosopher).

To build the triangle, start with "1" at the top, then continue placing numbers below it in a triangular pattern.

Each number is just the two numbers above it added together (except for the edges, which are all "1").

(Here I have highlighted that 1+3 = 4)