There are two extra questions on the worksheet which are also below.

This table shows the number of fatal injuries by industry in 2014/15. • Draw a suitable chart to display this data.
• Write two interesting facts that the graph shows. .

This is one in a large series of short videos from NCETM showing how people use maths at work. See the others here.

You need to find the lowest common multiple when finding common denominators to add fractions. Highest common factors are also used in fraction or ratio calculations when you cancel down. This interactive worksheet will show you how to work them out.  Here are my hands. Calculate the ratio of the length of the rectangle to the height by dividing 12 by 7.5.

Now work with a friend. One of you make the same shape with your hands, the other measures the length and width. Again calculate the ratio. Swop roles and do this again. You now have three ratios. What do you notice?

Here is the beginning of the Fibonacci Sequence. It is made by adding the two previous numbers together.

1, 1, 2, 3, 5, 8, 13, 21.

Work out the next 10 terms of the sequence and write them down.

Now calculate the ratio of each number compared to the number before it, like this. Round your answers to 4 decimal places.

1÷ 1 = 1

2÷ 1= 2

3÷ 2= 1.5

5÷ 3 = 1.6

8÷ 5 =1.6

13÷ 8 = 1.625

You continue for the next 10 terms. (Use a calculator!)

What do you notice?

You have discovered a very special number, called phi. Find out more about phi and the Golden Ratio here.

Here is a fascinating site to find out about the Golden Ratio and the human face.

http://www.intmath.com/numbers/math-of-beauty.php Don’t miss the flash application where you can fit a mask to some famous faces to see if their facial proportions match the golden ratio.

You will find the Golden Ratio appears not just in the human body, but in architechture, design nature, cosmology, photo composition, art and much more.  Download, print and cut out the triangles. Work with a friend to try and match all the questions with the correct answers and make a shape.

Ratio Jigsaw 