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3. Guidance Notes for Teachers Some indication of content and range at level 1 and 2 is shown on the next slide. It could also be used as a single project given to students from start to finish. Relevant slides show all the diagrams/questions/answers that are required. End slides have student question sheets and a teacher question/answer sheet. End slides have printable worksheets for students. All of questions in this presentation are designed to be non-calculator. Generic Advice: The preparation below is advisable in the majority of presentations. 1.Print off the teacher question and answer sheets/worksheets 2.Print off the student question sheets/worksheets 3.Run through the presentation yourself answering the questions 4.Decide how you are going to deliver the presentation. (a) Are you going to go through it from start to finish with the class, perhaps using it as an example/demonstration of functional maths and focusing on the development of the processing skills involved at each stage? (b) Are you going to use only part of the presentation? (c) Are you simply going to use the presentation to introduce the activity and let the class work on their own through the question sheets but refer to some of the elements/answers within the presentation when needed? 5.Remember the slides are editable so if you wish to introduce an open question/small investigation of your own then simply choose the relevant slide add/delete your own text (using a text box if needed).

4. Content and Skills Coverage and range: Level 1 Understand and use whole numbers and recognise negative numbers in practical contexts Add, subtract, multiply and divide using a range of mental methods Multiply and divide whole numbers by 10 and 100 using mental arithmetic Understand and use equivalences between common fractions, decimals and percentages Add and subtract decimal up to two decimal places Solve simple problems involving ratio, where one number is a multiple of the other Use simple formulae expressed in words for one- or two-step operations Solve problems requiring calculation with common measures including money, time, length, weight, capacity and temperature Convert units of measure in the same system Work out areas, perimeters and volumes in practical situations Construct models and draw shapes, measuring and drawing angles and identifying line symmetry Extract and interpret information from tables, diagrams, charts and graphs Collect and record discrete data and organise and represent infromation in different ways Find mean and range Use probability to show that some events are more likely to occur than others Understand outcomes, check calculations and explain results Understand and use positive and negative numbers of any size in practical contexts Carry out calculations with numbers of any size in practical contexts Understand, use and calculate ratio and proportion, including problems involving scale Understand and use equivalences between fractions, decimals and percentages Add and subtract fractions; add, subtract, multiply and divide decimals to a given number of decimal places Understand and use simple equations and simple formulae involving one- or two-step operations Recognise and use 2D representations of 3D objects. Find area, perimeter and volume of common shapes Use, convert and calculate using metric and, where appropriate, imperial measures Collect and represent discrete and continuous data, using ICT where appropriate Use and interpret statistical measures, tables and diagrams, for discrete and continuous data using ICT where appropriate Use statistical methods to investigate situations Use a numerical scale from 0 to 1 to express and compare probabilities Title: Car Wash/Valet Content and skills covered Coverage and range: Level 2 At least 1 from each area

5. Questions Open Everyday 9.00 am-7.00 pm Tel: 07856 345678 Question 1. How many hours each day, is Aqua Elite open for? 10 Question 2. What are the opening times in 24 hour clock? 0900/1900

6. Services OUTSIDE WASH Hand Wash & Wax : Windows (outside) Jet Wash Under Wheel Arches Door Shuts : Tyre Shine : Leathered Off SMALL CAR £5.00 LARGE CAR £7.00 Service 1 INSIDE & OUTSIDE WASH Everything from Service 1 + Windows Inside : Hoover Inside Dash Trim : Clean Rubber Mats SMALL CAR £12.00 LARGE CAR £15.00 HAND WAX POLISH Everything from Service 1 + HAND WAX POLISH SMALL CAR £15.00 LARGE CAR £20.00 HAND WAX POLISH Everything from Service 2 + HAND WAX POLISH SMALL CAR £25.00 LARGE CAR £32.00 Service 2 Service 3 Service 4 FULL VALET Everything from Service 4 + Interior Valet : Shampoo Seats/Carpets/ Door Panels/Roof Lining + Valet Engine Bay SMALL CAR £40.00 LARGE CAR £55.00 Service 5 Question 3. How much does Service 1 cost for a large car? £7.00 Question 4. How much does Service 2 cost for a small car? £12.00 Question 5. Do you get your wheel arches cleaned with Service 2? Yes

7. OUTSIDE WASH Hand Wash & Wax : Windows (outside) Jet Wash Under Wheel Arches Door Shuts : Tyre Shine : Leathered Off SMALL CAR £5.00 LARGE CAR £7.00 Service 1 INSIDE & OUTSIDE WASH Everything from Service 1 + Windows Inside : Hoover Inside Dash Trim : Clean Rubber Mats SMALL CAR £12.00 LARGE CAR £15.00 HAND WAX POLISH Everything from Service 1 + HAND WAX POLISH SMALL CAR £15.00 LARGE CAR £20.00 HAND WAX POLISH Everything from Service 2 + HAND WAX POLISH SMALL CAR £25.00 LARGE CAR £32.00 Service 2 Service 3 Service 4 FULL VALET Everything from Service 4 + Interior Valet : Shampoo Seats/Carpets/ Door Panels/Roof Lining + Valet Engine Bay SMALL CAR £40.00 LARGE CAR £55.00 Service 5 Question 6. Jasmine wants the cheapest service that includes both a wax polish and carpets hoovered. Which service should she choose? 4 Question 7. Jasmine puts her Nissan Micra through this service and gives a 10% tip. How much did she pay in total? £25 + £2.50 = £27.50

8. OUTSIDE WASH Hand Wash & Wax : Windows (outside) Jet Wash Under Wheel Arches Door Shuts : Tyre Shine : Leathered Off SMALL CAR £5.00 LARGE CAR £7.00 Service 1 INSIDE & OUTSIDE WASH Everything from Service 1 + Windows Inside : Hoover Inside Dash Trim : Clean Rubber Mats SMALL CAR £12.00 LARGE CAR £15.00 HAND WAX POLISH Everything from Service 1 + HAND WAX POLISH SMALL CAR £15.00 LARGE CAR £20.00 HAND WAX POLISH Everything from Service 2 + HAND WAX POLISH SMALL CAR £25.00 LARGE CAR £32.00 Service 2 Service 3 Service 4 FULL VALET Everything from Service 4 + Interior Valet : Shampoo Seats/Carpets/ Door Panels/Roof Lining + Valet Engine Bay SMALL CAR £40.00 LARGE CAR £55.00 Service 5 Question 8. Which service has the largest price difference between a large and small car and how much is this? Service 5 (£15) Question 9. How many times more expensive is Service 4 for a small car than Service 1 for a small car? 5 times

9. OUTSIDE WASH Hand Wash & Wax : Windows (outside) Jet Wash Under Wheel Arches Door Shuts : Tyre Shine : Leathered Off SMALL CAR £5.00 LARGE CAR £7.00 Service 1 INSIDE & OUTSIDE WASH Everything from Service 1 + Windows Inside : Hoover Inside Dash Trim : Clean Rubber Mats SMALL CAR £12.00 LARGE CAR £15.00 HAND WAX POLISH Everything from Service 1 + HAND WAX POLISH SMALL CAR £15.00 LARGE CAR £20.00 HAND WAX POLISH Everything from Service 2 + HAND WAX POLISH SMALL CAR £25.00 LARGE CAR £32.00 Service 2 Service 3 Service 4 FULL VALET Everything from Service 4 + Interior Valet : Shampoo Seats/Carpets/ Door Panels/Roof Lining + Valet Engine Bay SMALL CAR £40.00 LARGE CAR £55.00 Service 5 Question 10. Robert wants the engine cleaned on his 4 x 4 land rover. Which service includes this option and what will it cost? Service 5 (£55)

10. OUTSIDE WASH Hand Wash & Wax : Windows (outside) Jet Wash Under Wheel Arches Door Shuts : Tyre Shine : Leathered Off SMALL CAR £5.00 LARGE CAR £7.00 Service 1 INSIDE & OUTSIDE WASH Everything from Service 1 + Windows Inside : Hoover Inside Dash Trim : Clean Rubber Mats SMALL CAR £12.00 LARGE CAR £15.00 HAND WAX POLISH Everything from Service 1 + HAND WAX POLISH SMALL CAR £15.00 LARGE CAR £20.00 HAND WAX POLISH Everything from Service 2 + HAND WAX POLISH SMALL CAR £25.00 LARGE CAR £32.00 Service 2 Service 3 Service 4 FULL VALET Everything from Service 4 + Interior Valet : Shampoo Seats/Carpets/ Door Panels/Roof Lining + Valet Engine Bay SMALL CAR £40.00 LARGE CAR £55.00 Service 5 Question 11. What proportion of the cost of Service 4 (small car) is the cost of Service 3 (small car)? Express this as: (a)A Fraction (b)A Decimal (c)A Percentage 3/5 0.6 60%

11. OUTSIDE WASH Hand Wash & Wax : Windows (outside) Jet Wash Under Wheel Arches Door Shuts : Tyre Shine : Leathered Off SMALL CAR £5.00 LARGE CAR £7.00 Service 1 INSIDE & OUTSIDE WASH Everything from Service 1 + Windows Inside : Hoover Inside Dash Trim : Clean Rubber Mats SMALL CAR £12.00 LARGE CAR £15.00 HAND WAX POLISH Everything from Service 1 + HAND WAX POLISH SMALL CAR £15.00 LARGE CAR £20.00 HAND WAX POLISH Everything from Service 2 + HAND WAX POLISH SMALL CAR £25.00 LARGE CAR £32.00 Service 2 Service 3 Service 4 FULL VALET Everything from Service 4 + Interior Valet : Shampoo Seats/Carpets/ Door Panels/Roof Lining + Valet Engine Bay SMALL CAR £40.00 LARGE CAR £55.00 Service 5 Question 12. What proportion of the cost of Service 5 (small car) is the cost of Service 2 (small car)? Express this as: (a)A Fraction (b)A Decimal (c)A Percentage 3/10 0.3 30%

12. OUTSIDE WASH Hand Wash & Wax : Windows (outside) Jet Wash Under Wheel Arches Door Shuts : Tyre Shine : Leathered Off SMALL CAR £5.00 LARGE CAR £7.00 Service 1 INSIDE & OUTSIDE WASH Everything from Service 1 + Windows Inside : Hoover Inside Dash Trim : Clean Rubber Mats SMALL CAR £12.00 LARGE CAR £15.00 HAND WAX POLISH Everything from Service 1 + HAND WAX POLISH SMALL CAR £15.00 LARGE CAR £20.00 HAND WAX POLISH Everything from Service 2 + HAND WAX POLISH SMALL CAR £25.00 LARGE CAR £32.00 Service 2 Service 3 Service 4 FULL VALET Everything from Service 4 + Interior Valet : Shampoo Seats/Carpets/ Door Panels/Roof Lining + Valet Engine Bay SMALL CAR £40.00 LARGE CAR £55.00 Service 5 Question 13. On Friday morning Aqua Elite completed full valets on four small cars and three large cars. How much money did they take for this in total? £325

13. OUTSIDE WASH Hand Wash & Wax : Windows (outside) Jet Wash Under Wheel Arches Door Shuts : Tyre Shine : Leathered Off SMALL CAR £5.00 LARGE CAR £7.00 Service 1 INSIDE & OUTSIDE WASH Everything from Service 1 + Windows Inside : Hoover Inside Dash Trim : Clean Rubber Mats SMALL CAR £12.00 LARGE CAR £15.00 HAND WAX POLISH Everything from Service 1 + HAND WAX POLISH SMALL CAR £15.00 LARGE CAR £20.00 HAND WAX POLISH Everything from Service 2 + HAND WAX POLISH SMALL CAR £25.00 LARGE CAR £32.00 Service 2 Service 3 Service 4 FULL VALET Everything from Service 4 + Interior Valet : Shampoo Seats/Carpets/ Door Panels/Roof Lining + Valet Engine Bay SMALL CAR £40.00 LARGE CAR £55.00 Service 5 Question 14. Write down the ratio of the cost of Service 3 (large car) to that of Service 4 (large car). 5:8 Question 15. Write down the ratio of the cost of Service 5 (small car) to that of Service 3 (small car). 8:3

14. Graph “Small Car” Services at Aqua Elite on Thursday Afternoon 246810 (Services) Service 1: £5 Service 2: £12 Service 4: £25 Service 3: £15 Service 5: £40 AQUA ELITE Question 16. How many “Small Car” services took place on Thursday afternoon? 35 Question 17. Calculate the total takings from the “Small Car” services on Thursday afternoon. £563

15. Table Tuesday Wednesday Thursday 55 40 63 70 Small Car 37 40 51 Large Car Friday Saturday Sunday 64 62 28 36 75 54 80 Monday Services Total 321 434 AQUA ELITE Services Completed for Small and Large Cars During a one-week Period in February. Question 18. Calculate the number of large car services carried out on Thursday. Question 19. Calculate the number of small car services carried out on Sunday. Question 20. Calculate the mean number of small car services carried out each day. 434/7 = 62 Question 21. Investigate the statement that “the range of small car services is greater than the range of large car services”. False: small car range = 80 – 40 = 40 whereas large car range = 75 – 28 = 47

16. Jet Spray Tuesday Wednesday Thursday 55 40 63 70 Small Car 37 40 51 Large Car Friday Saturday Sunday 64 62 28 36 75 54 80 Monday Services Total 321 434 AQUA ELITE Services Completed for Small and Large Cars During a one-week Period in February. Question 22. If the average car is sprayed for a period of 4½ minutes, calculate the amount of water used. The Spray Jets used to clean the vehicles discharges 18½ litres of water per minute. 83.25 litres Question 23. Assuming the same average for the small cars in the table, how much water was used during the week on these cars? Give your answer in: (a) litres (2 sig fig) (b) Gallons 36,000 litres (use this for part b) 8,000 gallons Question 24. 1 cm 3 (1ml) of water weighs 1 gram. Calculate the weight of the water used from Q23 in: (a) kg fffffff (b)Tonnes 36,000 kg 36 T

17. Worksheet 1 For Q 1 (Aqua Elite opening hours (9.00 am 7 00. pm) OUTSIDE WASH Hand Wash & Wax : Windows (outside) Jet Wash Under Wheel Arches Door Shuts : Tyre Shine : Leathered Off SMALL CAR £5.00 LARGE CAR £7.00 Service 1 INSIDE & OUTSIDE WASH Everything from Service 1 + Windows Inside : Hoover Inside Dash Trim : Clean Rubber Mats SMALL CAR £12.00 LARGE CAR £15.00 HAND WAX POLISH Everything from Service 1 + HAND WAX POLISH SMALL CAR £15.00 LARGE CAR £20.00 HAND WAX POLISH Everything from Service 2 + HAND WAX POLISH SMALL CAR £25.00 LARGE CAR £32.00 Service 2 Service 3 Service 4 FULL VALET Everything from Service 4 + Interior Valet : Shampoo Seats/Carpets/ Door Panels/Roof Lining + Valet Engine Bay SMALL CAR £40.00 LARGE CAR £55.00 Service 5 For Q 2 – 15 Worksheet 1

18. Worksheet 2 “Small Car” Services at Aqua Elite on Thursday Afternoon 246810 (Services) Service 1: £5 Service 2: £12 Service 4: £25 Service 3: £15 Service 5: £40 For Q 16/17 Tuesday Wednesday Thursday 55 40 63 70 Small Car 37 40 51 Large Car Friday Saturday Sunday 64 62 28 36 75 Monday Services Total 321 434 Services Completed for Small and Large Cars During a one-week Period in February. For Q 18-21 Worksheet 2 The Spray Jets used to clean the vehicles discharges 18½ litres of water per minute. For Q 22-24

19. Teacher Q + A Question 1. How many hours each day, is Aqua Elite open for? 10 Question 2. What are the opening times in 24 hour clock? 0900/2100 Question 3. How much does Service 1 cost for a large car? £7 Question 4. How much does Service 2 cost for a small car? £12 Question 5. Do you get your wheel arches cleaned with Service 2? Yes Question 6. Jasmine wants the cheapest service that includes both a wax polish and carpets hoovered. Which service should she choose? 4 Question 7. Jasmine puts her Nissan Micra through this service and gives a 10% tip. How much did she pay in total? £25 + £2.50 = £27.50 Question 8. Which service has the largest price difference between a large and small car and how much is this? Service 5 (£15) Question 9. How many times more expensive is Service 4 for a small car than Service 1 for a small car? 5 times Question 10. Robert wants the engine cleaned on his 4 x 4 land rover. Which service includes this option and what will it cost? Service 5 (£55) Teacher Q + A (1)

20. Question 11. What proportion of the cost of Service 4 (small car) is the cost of Service 3 (small car)? Express this as: (a)A Fraction (b) A Decimal (c) A percentage 3/50.660% Question 12. What proportion of the cost of Service 5 (small car) is the cost of Service 2 (small car)? Express this as: (a)A Fraction (b) A Decimal (c) A percentage 3/100.330% Question 13. On Friday morning Aqua Elite completed full valets on four small cars and three large cars. How much money did they take for this in total? £325 Question 14. Write down the ratio of the cost of Service 3 (large car) to that of Service 4 (large car). 5:8 Question 15. Write down the ratio of the cost of Service 5 (small car) to that of Service 3 (small car). 8:3 Question 16. How many “Small Car” services took place on Thursday afternoon? 35 Question 17. Calculate the total takings from the “Small Car” services on Thursday afternoon. £563 Question 18. Calculate the number of large car services carried out on Thursday. Question 19. Calculate the number of small car services carried out on Sunday. 54 80 Question 20. Calculate the mean number of small car services carried out each day. 434/7 = 62 Question 21. Investigate the statement that “the range of small car services is greater than the range of large car services”. False: small car range = 80 – 40 = 40 whereas large car range = 75 – 28 = 47 Teacher Q + A (2) Question 22. If the average car is sprayed for a period of 4½ minutes, calculate the amount of water used. 83.25 litres Question 23. Assuming the same average for the small cars in the table, how much water was used during the week on these cars? Give your answer in: (a) litres (2 sig fig) (b) Gallons 36,000 litres (use this for part b)8,000 gallons Question 24. 1 cm 3 (1ml) of water weighs 1 gram. Calculate the weight of the water used from Q23 in: (a) kg (b)Tonnes 36,000 kg36 T

21. Student Q Question 1. How many hours each day, is Aqua Elite open for? Question 2. What are the opening times in 24 hour clock? Question 3. How much does Service 1 cost for a large car? Question 4. How much does Service 2 cost for a small car? Question 5. Do you get your wheel arches cleaned with Service 2? Question 6. Jasmine wants the cheapest service that includes both a wax polish and carpets hoovered. Which service should she choose? Question 7. Jasmine puts her Nissan Micra through this service and gives a 10% tip. How much did she pay in total? Question 8. Which service has the largest price difference between a large and small car and how much is this? Question 9. How many times more expensive is Service 4 for a small car than Service 1 for a small car? Question 10. Robert wants the engine cleaned on his 4 x 4 land rover. Which service includes this option and what will it cost? Student Questions (1)

22. Question 11. What proportion of the cost of Service 4 (small car) is the cost of Service 3 (small car)? Express this as: (a)A Fraction (b) A Decimal (c) A percentage Question 12. What proportion of the cost of Service 5 (small car) is the cost of Service 2 (small car)? Express this as: (a)A Fraction (b) A Decimal (c) A percentage Question 13. On Friday morning Aqua Elite completed full valets on four small cars and three large cars. How much money did they take for this in total? Question 14. Write down the ratio of the cost of Service 3 (large car) to that of Service 4 (large car). Question 15. Write down the ratio of the cost of Service 5 (small car) to that of Service 3 (small car). Question 16. How many “Small Car” services took place on Thursday afternoon? Question 17. Calculate the total takings from the “Small Car” services on Thursday afternoon. Question 18. Calculate the number of large car services carried out on Thursday. Question 19. Calculate the number of small car services carried out on Sunday. Question 20. Calculate the mean number of small car services carried out each day. Question 21. Investigate the statement that “the range of small car services is greater than the range of large car services”. Student Questions (2) Question 22. If the average car is sprayed for a period of 4½ minutes, calculate the amount of water used. Question 23. Assuming the same average for the small cars in the table, how much water was used during the week on these cars? Give your answer in: (a) litres (2 sig fig) (b) Gallons Question 24. 1 cm 3 (1ml) of water weighs 1 gram. Calculate the weight of the water used from Q23 in: (a) kg (b)Tonnes