1. Wednesday 20 th October 2010 LESSON OBJECTIVE To Study Examples of Applying Mathematics To Real-Life Decisions Mr Elisha

2. Starter Activity A supermarket sells biscuits in these packets: 1.15 biscuits for 56p 2.24 biscuits for 88p 3.36 biscuits for £1.33 Which packet is the best value for money? Why do you think this is the case?

3. Starter Activity A supermarket sells biscuits in these packets: 1.15 biscuits for 56p 2.24 biscuits for 88p 3.36 biscuits for £1.33 Which packet is the best value for money? 1. 3.73p a biscuit 2. 3.66p 3. 3.69p Why do you think this is the case? Is price the same as value ? Discuss.......

4. Buying Trainers ! At Alan’s sports shop, GoFast trainers usually cost £40.95, but there is 1⁄3 off in the sale. At Irene’s sports shop, GoFast trainers normally cost £40, but there is a discount of 30% in the sales. Which shop sells the trainers for less ?

5. Buying Trainers ! At Alan’s sports shop, GoFast trainers usually cost £40.95, but there is 1⁄3 off in the sale. At Irene’s sports shop, GoFast trainers normally cost £40, but there is a discount of 30% in the sales. Which shop sells the trainers for less ? Alan’s is cheapest ! £40.95 x 2/3 = £27.30 £40 x 70% (0.7) = £28 We needed Percentages and Fractions

6. Lesson Vocabulary Task We need to have the right vocabulary before we can talk about making decisions. Task: Write down at least 10 words you think are connected to making a decision. Compare, Percentage, Fraction, Highest,....

7. Lesson Vocabulary Task We need to have the right vocabulary before we can talk about making decisions. Task: Write down at least 10 words you think are connected to making a decision. Compare, Rank, Percentage, Fraction, Highest, Lowest, True, False, Better, Worse, Fastest, Slowest, Value/Price, Cheapest, Money, Units...

8. Worksheet Introduction – Historic Holidays A family is planning a holiday to Egypt and they have to choose a hotel. Hotels offer 3 different options on the food provided. 1.Bed & Breakfast BB 2.Half-Board HB (Bed, Breakfast & Dinner) 3.Full-Board FB (Bed, Breakfast, Lunch & Dinner) But remember you need to eat 3 meals a day !

9. Historic Holidays – Question 1 & 2 HOTEL (7 days)ADULTS COSTCHILDREN COSTTOTAL COST (5 People) HOTEL PYRAMID HOTEL NILE HOTEL SPHINX HOTEL PHARAOH

10. Historic Holidays – Question 1 & 2 HOTEL (7 days) ADULT COSTCHILDREN COSTTOTAL COST HOTEL PYRAMID 499 x 2 = 998 399 x 3 = 1197998 + 1197 = 2195 HOTEL NILE 529 x 2 = 1058 80% of 529 = 423.2 423.2 x 3 = 1269.6 1058 + 1269.6 = 2327.6 HOTEL SPHINX 699 x 2 = 1398 70% of 699 = 489.3 489.3 x 3 = 1467.9 1398 + 1467.9 = 2865.9 HOTEL PHARAOH 585 x 2 = 1170 349 x 3 = 1047= 2217

11. Worksheet Question 3 Remember even though the Hotel may not offer 3 meals the family still need 3 meals ! Bed & Breakfast BB – Extra 70 meals needed Half-Board HB – Extra 35 meals needed Assume that the average cost of a meal outside the Hotel is £10 per person, what hotel is the most expensive now ?

12. Worksheet Question 3 Bed & Breakfast BB – Extra £700 needed Half-Board HB – Extra £350 needed Assume that the average cost of a meal outside the Hotel is £10 per person, what hotel is the most expensive now ? Pyramid BB 2195 + 700 = £2895, Nile HB 2327.6 + 350 = £2677.6, Sphinx FB £2865.9, Pharaoh HB 2217 + 350 = £2567

13. Extension Task Write down a numbered list for choosing a hotel when planning a holiday. This numbered list could be the first step in a computer program. 1.First thing to do.... e.g. Where to go ? 2.Gather Price Information... 3.Gather Information on local food costs...... Think about setting a budget – how do you decide this ?

14. Summary Decisions often require you to C_____E and R__K options Decisions often need structured information set out in T_____S. The more important the decision is the more information we need How do we obtain information ?

15. Summary Decisions often require you to COMPARE and RANK options Decisions often need structured information set out in T_____S. The more important the decision is the M__E information we need How do we obtain information ?

16. Summary Decisions often require you to COMPARE and RANK options Decisions often need structured information set out in TABLES. The more important the decision is the M__E information we need How do we obtain information ?

17. Summary Decisions often require you to COMPARE and RANK options Decisions often need structured information set out in TABLES. The more important the decision is the MORE information we need How do we obtain information ?

18. Summary Decisions often require you to COMPARE and RANK options Decisions often need structured information set out in TABLES. The more important the decision is the MORE information we need How do we obtain information ? By conducting research and calculating.