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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. 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: Food & Nutrition Content and skills covered Coverage and range: Level 2 At least 1 from each area

5. © bigstockphoto.com What mathematics might be involved in food nutrition?

6. 250 g300 g £3.50 £3.00 Cheese Pizza Per 100g Per ¼ slice Energy320 cal200 cal Protein14.6g9.1g Carbohydrates (sugars) 46.4g 2.9g 29.0g 1.8g Fat (saturates) 10.6g 5.3g 6.6g 3.3g Fibre3.0g1.9g Sodium0.6g0.4g Salt1.44g0.90g Pepperoni Pizza Per 100g Per ½ slice Energy288 cal432 cal Protein12.6g18.9g Carbohydrates (sugars) 33.6g 3.8g 50.4g 5.7g Fat (saturates) 11.5g 5.1g 17.2g 7.6g Fibre2.9g4.4g Sodium0.6g0.9g Salt1.47g2.20g Peter and Becky decided to have pizza for tea. They bought two 10 inch pizza’s and some salad from the supermarket. The nutritional information from the back of the packets is shown below. Q 1. Which Pizza contains the most calories and by how much? Pepperoni/64 cal Q 2. Which Pizza contains the least salt and by how much? Cheese/0.8g

7. Q 3. What percentage of the fats in the cheese pizza are saturated? 50% Q 4. How much salt is in 150g of pepperoni pizza? (1 d.p) 2.2 g Q 5. How much fibre is in 200g of cheese pizza? 6.0g Cheese Pizza Per 100g Per ¼ slice Energy320 cal200 cal Protein14.6g9.1g Carbohydrates (sugars) 46.4g 2.9g 29.0g 1.8g Fat (saturates) 10.6g 5.3g 6.6g 3.3g Fibre3.0g1.9g Sodium0.6g0.4g Salt1.44g0.90g Pepperoni Pizza Per 100g Per ½ slice Energy288 cal432 cal Protein12.6g18.9g Carbohydrates (sugars) 33.6g 3.8g 50.4g 5.7g Fat (saturates) 11.5g 5.1g 17.2g 7.6g Fibre2.9g4.4g Sodium0.6g0.9g Salt1.47g2.20g Q 6. How many calories would there be in ½ kg of pepperoni pizza? 1440 250 g300 g £3.50 £3.00 *

8. Q 7. How many calories per gram does the cheese pizza contain? 3.2 Cheese Pizza Per 100g Per ¼ slice Energy320 cal200 cal Protein14.6g9.1g Carbohydrates (sugars) 46.4g 2.9g 29.0g 1.8g Fat (saturates) 10.6g 5.3g 6.6g 3.3g Fibre3.0g1.9g Sodium0.6g0.4g Salt1.44g0.90g Pepperoni Pizza Per 100g Per ½ slice Energy288 cal432 cal Protein12.6g18.9g Carbohydrates (sugars) 33.6g 3.8g 50.4g 5.7g Fat (saturates) 11.5g 5.1g 17.2g 7.6g Fibre2.9g4.4g Sodium0.6g0.9g Salt1.47g2.20g Q 8. How much sodium would 250g of pepperoni contain? 1½ g 250 g300 g £3.50 £3.00 Q 9. What price does a ¼ slice of cheese pizza work out at. 75p Q 10. What price does a 1/5 slice of pepperoni work out at. 70p *

9. Q 11. Calculate the price/kg of each pizza. Cheese = £12/kg, Pepperoni = £11.67/kg Cheese Pizza Per 100g Per ¼ slice Energy320 cal200 cal Protein14.6g9.1g Carbohydrates (sugars) 46.4g 2.9g 29.0g 1.8g Fat (saturates) 10.6g 5.3g 6.6g 3.3g Fibre3.0g1.9g Sodium0.6g0.4g Salt1.44g0.90g Pepperoni Pizza Per 100g Per ½ slice Energy288 cal432 cal Protein12.6g18.9g Carbohydrates (sugars) 33.6g 3.8g 50.4g 5.7g Fat (saturates) 11.5g 5.1g 17.2g 7.6g Fibre2.9g4.4g Sodium0.6g0.9g Salt1.47g2.20g 250 g300 g £3.50 £3.00 Q 12. Becky likes to keep her calories to no more than 2000/day. What proportion of these will be used up if she eats the cheese pizza? Express you answer as a (a) fraction (b) A decimal (c) A percentage 2/50.440% *

10. Cheese Pizza Per 100g Per ¼ slice Energy320 cal200 cal Protein14.6g9.1g Carbohydrates (sugars) 46.4g 2.9g 29.0g 1.8g Fat (saturates) 10.6g 5.3g 6.6g 3.3g Fibre3.0g1.9g Sodium0.6g0.4g Salt1.44g0.90g Pepperoni Pizza Per 100g Per ½ slice Energy288 cal432 cal Protein12.6g18.9g Carbohydrates (sugars) 33.6g 3.8g 50.4g 5.7g Fat (saturates) 11.5g 5.1g 17.2g 7.6g Fibre2.9g4.4g Sodium0.6g0.9g Salt1.47g2.20g 250 g300 g £3.50 £3.00 Q 13. The recommended maximum daily fat intake for men is 95g. If Peter eats the pepperoni pizza what percentage of this will he have had? ( 2 sig fig ) 36% Q 14. The recommended maximum daily salt intake for both men and women is 6g. What percentage of this will Becky have used up by eating the cheese pizza? 60% *

11. Cheese Pizza Per 100g Per ¼ slice Energy320 cal200 cal Protein14.6g9.1g Carbohydrates (sugars) 46.4g 2.9g 29.0g 1.8g Fat (saturates) 10.6g 5.3g 6.6g 3.3g Fibre3.0g1.9g Sodium0.6g0.4g Salt1.44g0.90g Q 15. Becky intended to have the mixed salad with her cheese pizza. Compare the calorie content/g of both foods. Pizza = 3.2 cal/g, Salad = 0.2 cal/g. Mixed Salad Per 100g Per pack Energy20 cal35 cal Protein0.8g1.4g Carbohydrates (sugars) 3.2g 3g 5.6g 5.2g Fat (saturates) 0.3g nil 0.5g nil Fibre1.6g2.8g Sodiumtrace Salttrace 250 g175 g 75p £3.00 Q 16. How many times more fat is in the pizza than the salad? ( 1 sig fig ) 50 Q 17. What is the ratio of the cost of pizza : cost of salad? 4 : 1 *

12. Cooking Instructions 190 o C375 o FGas mark 5 Cook for 10 – 12 minutes To cook in oven from CHILLED Pre-heat oven Place on baking tray 200 o C400 o FGas mark 6 Cook for 12 – 14 minutes To cook in oven from FROZEN Pre-heat oven Place on baking tray The cooking instructions from the back of the packets are shown below: Q 18. Becky had her pizza two hours after getting home and removed it from the fridge before placing it in the oven. Which gas mark did she use? 5 Q 19. She put the pizza in the pre-heated oven at 5:55 pm. What time was it ready to be removed? 6:05 pm. Q 20. Peter skipped tea and had his pepperoni pizza for lunch the next day. After removing it from the freezer he placed it in the oven. What temperature in o F would the oven have been be pre-heated to? 400 o F *

13. Cooking Instructions The cooking instructions from the back of the packets are shown below: 8 degrees Q 21. The formula can be used for giving an exact conversion of degrees Celsius (C) to degrees Fahrenheit (F). Use this formula to calculate the error in the “cook from frozen” Fahrenheit temperature stated. Do not use a calculator. F = 9C 5 + 32 Q 22. Use another formula to estimate the circumference of these approximately circular (10 inch diameter) pizza’s. (Take  = 3) 30 inches * 190 o C375 o FGas mark 5 Cook for 10 – 12 minutes To cook in oven from CHILLED Pre-heat oven Place on baking tray 200 o C400 o FGas mark 6 Cook for 12 – 14 minutes To cook in oven from FROZEN Pre-heat oven Place on baking tray

14. Fractions Q 23. After removing her cheese pizza from the oven, Becky cut it into eight equal slices. Peter cut his into six equal slices. Becky only ate five of her slices. What proportion of her pizza was left? Give your answer as (a) A fraction (b) A decimal (c) A percentage 3/80.37537.5% Q 24. Peter ate five of his pieces then got fed up with it. He then (rather greedily) ate two of Becky’s remaining slices from the fridge. How much of the combined pizza’s did he eat? Give your answer as a mixed number in simplest form. 1 and 1/12 *

15. Teacher Q + a (1) Q 1. Which Pizza contains the most calories and by how much? Pepperoni/64 cal Q 2. Which Pizza contains the least salt and by how much? Cheese/0.8g Q 3. What percentage of the fats in the cheese pizza are saturated? 50% Q 4. How much salt is in 150g of pepperoni pizza? (1 d.p) 2.2g Q 5. How much fibre is in 200g of cheese pizza? 6.0g Q 6. How many calories would there be in ½ kg of pepperoni pizza? 1440 Q 7. How many calories per gram does the cheese pizza contain? 32 Q 8. How much sodium would 250g of pepperoni contain? 1½ g Q 9. What price does a ¼ slice of cheese pizza work out at. 75p Q 10. What price does a 1/5 slice of pepperoni work out at. 70p Q 13. The recommended maximum daily fat intake for men is 95g. If Peter eats the pepperoni pizza what percentage of this will he have had? (2 sig fig) 36% Q 14. The recommended maximum daily salt intake for both men and women is 6g. What percentage of this will Becky have used up by eating the cheese pizza? 60% Q 11. Calculate the price/kg of each pizza. Cheese = £12/kg, Pepperoni = £11.67/kg Q 12. Becky likes to keep her calories to no more than 2000/day. What proportion of these will be used up if she eats the cheese pizza? Express you answer as a (a) fraction (b) A decimal (c) A percentage 2/50.440% Q 15. Becky intended to have the mixed salad with her cheese pizza. Compare the calorie content/g of both foods. Pizza = 3.2 cal/g, Salad = 0.2 cal/g. Q 16. How many times more fat is in the pizza than the salad? (1 sig fig) 50 Q 17. What is the ratio of the cost of pizza : cost of salad? 4 : 1 Teacher Q + A (1)

16. Q 18. Becky had her pizza two hours after getting home and removed it from the fridge before placing it in the oven. Which gas mark did she use? 5 Q 19. She put the pizza in the pre-heated oven at 5:55 pm. What time was it ready to be removed? 6:05 pm. Q 20. Peter skipped tea and had his pepperoni pizza for lunch the next day. After removing it from the freezer he placed it in the oven. What temperature in o F would the oven have been be pre-heated to? 400 o F 8 degrees Q 21. The formula can be used for giving an exact conversion of degrees Celsius (C) to degrees Fahrenheit (F). Use this formula to calculate the error in the “cook from chilled” Fahrenheit temperature stated. Do not use a calculator. Q 22. Use another formula to estimate the circumference of these approximately circular (10 inch diameter) pizza’s. (Take  = 3) 30 inches Q 23. After removing her cheese pizza from the oven, Becky cut it into eight equal slices. Peter cut his into six equal slices. Becky only ate five of her slices. What proportion of her pizza was left? Give your answer as (a) A fraction (b) A decimal (c) A percentage 3/80.37537.5% Q 24. Peter ate five of his pieces then got fed up with it. He then (rather greedily) ate two of Becky’s remaining slices from the fridge. How much of the combined pizza’s did he eat? Give your answer as a mixed number in simplest form. 1 and 1/12 Teacher Q + A (2) F = 9C 5 + 32

17. Student Question Sheet Q 1. Which Pizza contains the most calories and by how much? Q 2. Which Pizza contains the least salt and by how much? Q 3. What percentage of the fats in the cheese pizza are saturated? Q 4. How much salt is in 150g of pepperoni pizza? (1 d.p) Q 5. How much fibre is in 200g of cheese pizza? Q 6. How many calories would there be in ½ kg of pepperoni pizza? Q 7. How many calories per gram does the cheese pizza contain? Q 8. How much sodium would 250g of pepperoni contain? Q 9. What price does a ¼ slice of cheese pizza work out at. Q 10. What price does a 1/5 slice of pepperoni work out at. Q 13. The recommended maximum daily fat intake for men is 95g. If Peter eats the pepperoni pizza what percentage of this will he have had? (2 sig fig) Q 14. The recommended maximum daily salt intake for both men and women is 6g. What percentage of this will Becky have used up by eating the cheese pizza? Q 11. Calculate the price/kg of each pizza. Q 12. Becky likes to keep her calories to no more than 2000/day. What proportion of these will be used up if she eats the cheese pizza? Express you answer as a (a) fraction (b) A decimal (c) A percentage Q 15. Becky intended to have the mixed salad with her cheese pizza. Compare the calorie content/g of both foods. Q 16. How many times more fat is in the pizza than the salad? (1 sig fig) Q 17. What is the ratio of the cost of pizza : cost of salad? Student Question Sheet (1)

18. Q 18. Becky had her pizza two hours after getting home and removed it from the fridge before placing it in the oven. Which gas mark did she use? Q 19. She put the pizza in the pre-heated oven at 5:55 pm. What time was it ready to be removed? Q 20. Peter skipped tea and had his pepperoni pizza for lunch the next day. After removing it from the freezer he placed it in the oven. What temperature in o F would the oven have been be pre-heated to? Q 21. The formula can be used for giving an exact conversion of degrees Celsius (C) to degrees Fahrenheit (F). Use this formula to calculate the error in the “cook from chilled” Fahrenheit temperature stated. Do not use a calculator. Q 22. Use another formula to estimate the circumference of these approximately circular (10 inch diameter) pizza’s. (Take  = 3) Q 23. After removing her cheese pizza from the oven, Becky cut it into eight equal slices. Peter cut his into six equal slices. Becky only ate five of her slices. What proportion of her pizza was left? Give your answer as (a) A fraction (b) A decimal (c) A percentage Q 24. Peter ate five of his pieces then got fed up with it. He then (rather greedily) ate two of Becky’s remaining slices from the fridge. How much of the combined pizza’s did he eat? Give your answer as a mixed number in simplest form. Student Question Sheet (2) F = 9C 5 + 32

19. Worksheet