2. Whiteboardmaths.com © 2009 All rights reserved 5 7 2 1

3. Guidance Notes for Teachers Some indication of content and range at level 1 and 2 is shown on the next slide. 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. Calculator symbols are suggestions only and could be removed depending on the group. The vast majority 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 information 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: Fun at the Fairground Content and skills covered Coverage and range: Level 2 At least 1 from each area

5. Julie has been saving all her pocket money and has been doing extra jobs over the last couple of months so that she can have a good time at the local fair which has just opened. She went to the fair with £100. What mathematics might be involved in a visit to the Fairground?

6. Rides 1- 3 Fairground Rides £3.00 Ride 1 Ride 2 Ride 3 £3.25 £4.00 Ride 1Ride 2Ride 3 Goes324 Time (min)698 Her first 3 rides at the fair are shown above, together with some information in the table. Q1. How much did Julie spend on these rides in total? £31.50 Q2. How long did she spend in total on the rides? 1hr 8min Q3. If the diameter of the big wheel is 81 ft, calculate its circumference. Take   3.1. 251.1 feet Q4. Taking 1 yard  0.9 m give your Q3 answer in m and cm. 75m 33cm * © bigstockphoto.com

7. Hook a Duck Hook a Duck: A Prize Every Time 60p for one stick 1 1 1 1 1 1 4 1 1 1 1 1 1 4 4 1 1 1 1 1 4 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 Lucky 7 wins top prize 1: Win a Lollipop 4: Win a Water Pistol 7: Win a Soft Toy Julie spent some time at the “Hook a Duck” stall. Each duck has a hidden number label on its base. These are revealed in the diagram left. People playing the game are not aware of how many of each number there are. 36 Lovely Ducks to choose from © bigstockphoto.com

8. Hook a Duck: A Prize Every Time 60p for one stick 1 1 1 1 1 1 4 1 1 1 1 1 1 4 4 1 1 1 1 1 4 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 Lucky 7 wins top prize 1: Win a Lollipop 4: Win a Water Pistol 7: Win a Soft Toy Impossible, Very Unlikely, Unlikely, Evens, Likely, Very Likely, Certain 36 Lovely Ducks to choose from Q5: Which of the descriptions given below best describes the probability of her winning: (a)A Water Pistol (b)A Lollipop (c)A soft toy (d)Any prize Very Likely Unlikely Very Unlikely Certain © bigstockphoto.com

9. Hook a Duck: A Prize Every Time 60p for one stick 1 1 1 1 1 1 4 1 1 1 1 1 1 4 4 1 1 1 1 1 4 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 Lucky 7 wins top prize 1: Win a Lollipop 4: Win a Water Pistol 7: Win a Soft Toy 36 Lovely Ducks to choose from Q6: What is the probability that Julie wins a soft toy? 1/36 Q7: What is the probability that Julie wins a water pistol? 4/36 = 1/9 Q8: What is the probability that she wins a prize? 1 © bigstockphoto.com

10. Hook a Duck: A Prize Every Time 60p for one stick 1 1 1 1 1 1 4 1 1 1 1 1 1 4 4 1 1 1 1 1 4 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 Lucky 7 wins top prize 1: Win a Lollipop 4: Win a Water Pistol 7: Win a Soft Toy 36 Lovely Ducks to choose from Q9: Julie paid for 10 goes on this stall. How much change did she get from £10? £4.00 Q10: How many water pistols would you expect her to have won? 1 © bigstockphoto.com Q11: If someone was silly enough to pay for 72 goes on this stall, how many soft toys would you expect them to win? 2

11. Rides 5 - 6 Ride 1Ride 2Ride 3 Cost£9£6.50£16 Ride 4Ride 5Ride 6 Goes355 Julie’s final 3 rides at the fair are shown above together with some information in the tables. Q12. How much money did Julie spend in total on all 6 rides? £74.90 Q13. What was the mean cost of money spent on each ride. Give your answer to the nearest 10p. £12.50 Fairground Rides £2.80 Ride 4Ride 5 Ride 6 £3.00 £4.00 * © bigstockphoto.com

12. Hoopla Julie had 5 goes on this hoopla game and her scores are shown below.

13. 6 220 8 139 151714 6 220 8 139 1517 14 6 220 8 139 151714 SCORE 40 or more to win a prize! 6 220 8 139 151714 6 220 8 139 151714 Q14: On which GO did Julie win a Prize? 1 st 2 nd 3 rd 4 th 5 th Q15: What has her lowest score? 24 Q16: What is the highest possible score that she could get assuming that all hoops were hooked? 60 £1 for 3 hoops *

14. 6 220 8 139 151714 6 220 8 139 1517 14 6 220 8 139 151714 SCORE 40 or more to win a prize!£1 for 3 hoops 6 220 8 139 151714 6 220 8 139 151714 1 st 2 nd 3 rd 4 th 5 th Q17: What was the modal score? 34 Q18: What was the median score? Q19: Calculate the mean and range of her scores. Mean = 32, range = 18 *

15. 6 220 8 139 151714 6 220 8 139 1517 14 6 220 8 139 151714 SCORE 40 or more to win a prize!£1 for 3 hoops 6 220 8 139 151714 6 220 8 139 151714 1 st 2 nd 3 rd 4 th 5 th Q20: What fraction of the numbers on an individual board are odd? 4/9 Q21: What proportion of her goes did she lose? Write this as: (a) A fraction (b) A decimal (c) A percentage 4/5 0.8 80% *

16. Chips Fun at the Fairground Q22. Julie finished off her time at the fair with a bag of chips and a toffee apple, before making her way home. How much money did she have left? How much money did she go home with? £1.25 £0.75 £12.10 ActivityCost Rides£74.90 Stalls£11.00 Food£2.00 Total£87.90 * © bigstockphoto.com

17. Teacher Q+A (1) Q1. How much did Julie spend on these rides in total? £31.50 Q2. How long did she spend in total on the rides? 1hr 8min Q3. If the diameter of the big wheel is 81 ft, calculate its circumference. Take   3.1. 251.1 feet Q4. Taking 1 yard  0.9 m give your Q3 answer in m and cm. 75 m 33 cm Q5: Which of the descriptions given below best describes the probability of her winning: (a)A Water Pistol (b)A Lollipop (c)A soft toy (d)Any prize Very Likely Unlikely Very Unlikely Certain Q6: What is the probability that Julie wins a soft toy? 1/36 Q7: What is the probability that Julie wins a water pistol? 4/36 = 1/9 Q8: What is the probability that she wins a prize? 1 Q9: Julie paid for 10 goes on this stall. How much change did she get from £10? £4.00 Q10: How many water pistols would you expect her to have won? 1 Q11: If someone was silly enough to pay for 72 goes on this stall, how many soft toys would you expect them to win? 2 Q12. How much money did Julie spend in total on all 6 rides? £74.90 Q13. What was the mean cost of money spent on each ride. Give your answer to the nearest 10p. £12.50 Teacher Q + A (1)

18. Teacher Q+A (2) Q14: On which GO did Julie win a Prize? 5 th Q15: What has her lowest score? 24 Q16: What is the highest possible score that she could get assuming that all hoops were hooked? 60 Q17: What was the modal score? 34 Q18: What was the median score? 34 Q19: Calculate the mean and range of her scores. Mean = 32, range = 18 Q20: What fraction of the numbers on an individual board are odd? 4/9 Q21: What proportion of her goes did she lose? Write this as: (a) A fraction (b) A decimal (c) A percentage 4/50.880% Q22. Julie finished off her time at the fair with a bag of chips and a toffee apple. How much money did she have left? £12.10 Teacher Q + A (2)

19. Student Questions (1) Q1. How much did Julie spend on these rides in total? Q2. How long did she spend in total on the rides? Q3. If the diameter of the big wheel is 81 ft, calculate its circumference. Take   3.1. Q4. Taking 1 yard  0.9 m give your Q4 answer in m and cm. Q5: Which of the descriptions given below best describes the probability of her winning: (a)A Water Pistol (b)A Lollipop (c)A soft toy (d)Any prize Q6: What is the probability that Julie wins a soft toy? Q7: What is the probability that Julie wins a water pistol? Q8: What is the probability that she wins a prize? Q9: Julie paid for 10 goes on this stall. How much change did she get from £10? Q10: How many water pistols would you expect her to have won? Q11: If someone was silly enough to pay for 72 goes on this stall, how many soft toys would you expect them to win? Q12. How much money did Julie spend in total on all 6 rides? Q13. What was the mean cost of money spent on each ride. Give your answer to the nearest 10p. Student Questions (1)

20. Student Questions (2) Q14: On which GO did Julie win a Prize? Q15: What has her lowest score? Q16: What is the highest possible score that she could get assuming that all hoops were hooked? Q17: What was the modal score? Q18: What was the median score? Q19: Calculate the mean and range of her scores. Q20: What fraction of the numbers on an individual board are odd? Q21: What proportion of her goes did she lose? Write this as: (a) A fraction (b) A decimal (c) A percentage Q22. Julie finished off her time at the fair with a bag of chips and a toffee apple. How much money did she have left? Student Questions (2)

21. Worksheet Ride 1Ride 2Ride 3 Price£3.00£3.25£4.00 Goes324 Time (min)698 Ride 4Ride 5Ride 6 Price£2.80£3.00£4.00 Goes355 Q 1- 4 Q 12/13 1 1 1 1 1 1 4 1 1 1 1 1 1 4 4 1 1 1 1 1 4 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 Q5 – 11 Hook a Duck Numbers 60 pence per go Q14 – 21 Hoopla £1 per go Q22: CHIPS £.125, TOFFEE APPLE 75p