1. Ratio of Gods and Goddesses 14-Oct-15 Calculate ratios from a real life situation to find out if you are a Greek god or goddess? Level 6+ D+ The Greek goddess called ‘Dike’ later became the Roman god with the name of ‘Justice’. Where have you seen her? © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

2. STARTER The string of beads contains 6 red and 12 black beads. This can be written as a ratio RED : BLACK 6 : 12 By dividing both numbers by 6, the ratio can be written in a way that tells you that there are twice as many black beads Red : Black 1 : 2 6 ÷ 6 = 1 12 ÷ 6 = 2 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

3. 2 cm 5 cm This can be done to any ratio. The rectangle has a width of 2 cm and a height of 5 cm so the ratio of width to height is W : H 2 : 5 1 : 2.5 2 ÷ 2 = 1 5 ÷ 2 = 2.5 This rectangle is 2.5 times higher than its width 1.8 cm 5.8 cm This rectangle has a width of 1.8 cm and a height of 5.8 cm so the ratio of width to height is W : H 1.8 : 5.8 1 : 3.22 (to 2 dp) 1.8 ÷ 1.8 = 1 5.8 ÷ 1.8 = 3.22… This rectangle is 3.22 times higher than its width © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

4. 4 cm 8 cm W : H 4 : 8 1 : 2 8 ÷ 4 = 2 3 cm 12 cm W : H 3 : 12 1 : 4 This rectangle is 2 times higher than its width 12 ÷ 3 = 4 This rectangle is 4 times higher than its width How many times higher than the width? © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

5. 1.2 cm 6.6 cm W : H 1.2 : 6.6 1 : 5.5 6.6 ÷ 1.2 = 5.5 0.9cm 7.2 cm W : H 0.9 : 7.2 1 : 6 This rectangle is 5.5 times higher than its width 7.2 ÷ 0.9 = 8 This rectangle is 8 times higher than its width How many times higher than the width? © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

6. 2.7 cm 5.2 cm W : H 2.7 : 5.2 1 : 1.93 5.2 ÷ 2.7 = 1.925… 1.2 cm 6.5 cm W : H 1.2 : 6.5 1 : 5.42 This rectangle is 1.93 (to 2dp) times higher than its width 6.5 ÷ 1.2 = 5.4166… This rectangle is 5.42 (to 2 dp) times higher than its width How many times higher than the width? © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

7. Do You Look Like a Greek God or Goddess? The Greeks believed that the ratio 1 : 1.62 was attractive. The 1.62 is an approximation for something called the Golden Ratio. © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk 12 cm 19.4 cm W : H 12 : 19.4 1 : 1.62 This rectangle is 1.62 (to 2dp) times higher than its width

8. The Greeks also believed that their gods would have features that are in the ratio 1 : 1.62. Working with a partner, measure and calculate the ratio of your features by following the instructions on the next three slides. © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk 1 1.62

9. Width of head (w) Top of the head to the chin (h) Start by measuring the distance from the top of your head to the chin (h) and then the width of your head (w). Now divide h by w and write down your answer. h ÷ w = (Your Answer) If your answer is near to 1.62, you are the shape of a Greek God/Goddess! © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

10. Pupils to where the lips meet (m) Top of the head to the pupils (p) Measure p and m then divide p by mand write down your answer. p ÷ m = Answer If your answer is near to 1.62, you are the shape of a Greek God/Goddess! Write down the two numbers that you have found so far and calculate the mean average © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

11. m p h w n f u e Now that you have the idea, measure these features and then divide. Find the mean average of all your answers h ÷ w = p ÷ m = c ÷ s = e ÷ f = u ÷ n = c s © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

12. Investigation Find pictures of four people that are considered to be attractive. Here are a couple of examples Elvis Presley – People who met him said that he looked like a Greek God Twiggy – The 1960s model that a photographer once said was perfect Measure their features on the photograph and see which is the nearest to a Greek God or Goddess. Put the four people into rank order and then do a survey to see if your people’s opinions are the same as the your ratio results. Find out more about the Golden Ratio A student in my class did the Greek Goddess test on a picture of Cheryl Cole and discovered that she fitted the ratio. Try it. © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk