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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).

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: Express Courier Delivery Content and skills covered Coverage and range: Level 2 At least 1 from each area

Network 1 The EXPRESS DELIVERY Courier Service, transport parcels and packages throughout the North of England. Goods arrive at each of their ten large Warehouses and are then transported over a network of routes to smaller depots for local delivery. From Warehouse 4 they transport goods to three smaller depots as shown below. Question 1. How far does a lorry travel if it goes from warehouse 4 to depot B and then to depot C and return to the warehouse? 30 miles Question 2. Express the answer to Question 1 in km. 5 miles  8km  48 km Question 3. If the lorry travels at an average speed of 48 mph how long will it take for the journey; warehouse 4  depot A  depot C  warehouse 4? 30 minutes Warehouse 4 Depot A Depot B Depot C 12 miles 6 miles 7 miles 8 miles 11 miles NOT to Scale

The EXPRESS DELIVERY Courier Service, transport parcels and packages throughout the North of England. Goods arrive at each of their ten large Warehouses and are then transported over a network of routes to smaller depots for local delivery. From Warehouse 4 they transport goods to three smaller depots as shown below. Warehouse 4 Depot A Depot B Depot C 12 miles 6 miles 7 miles 8 miles 11 miles Question 4. If a lorry can carry 150 parcels. How many journeys would be needed to carry 700 parcels? 5 Question 5. A lorry left the warehouse one morning at 8.00 am with 125 parcels with an average weight of 8½ kg. Calculate the weight of the load carried in: (a) kg (b) Tonnes NOT to Scale

The EXPRESS DELIVERY Courier Service, transport parcels and packages throughout the North of England. Goods arrive at each of their ten large Warehouses and are then transported over a network of routes to smaller depots for local delivery. From Warehouse 4 they transport goods to three smaller depots as shown below. Warehouse 4 Depot A Depot B Depot C 12 miles 6 miles 7 miles 8 miles 11 miles Question 6. In another lorry the average weight of the parcels were 6.4 kg. How much is this in? (a)g (b)pounds 6400g 6.4 x 2.2 = lbs Question 7. A lorry left the depot one morning at 7.30 am and returned at 5.15 pm. (a) How long was the lorry away from the depot for? (b) What was his return time in 24 hour clock? 9 hours 45 min 1715 NOT to Scale

The EXPRESS DELIVERY Courier Service, transport parcels and packages throughout the North of England. Goods arrive at each of their ten large Warehouses and are then transported over a network of routes to smaller depots for local delivery. From Warehouse 4 they transport goods to three smaller depots as shown below. Warehouse 4 Depot A Depot B Depot C 12 miles 6 miles 7 miles 8 miles 11 miles Question 8. The distance between depots A and B is what fraction of the distance between depots B and C? 2/3 Question 9. Workout the shortest route for a driver that has to visit all three depots and return to the warehouse. W  A  B  C  W (33 miles) or W  C  B  A  W NOT to Scale

The EXPRESS DELIVERY Courier Service, transport parcels and packages throughout the North of England. Goods arrive at each of their ten large Warehouses and are then transported over a network of routes to smaller depots for local delivery. From Warehouse 4 they transport goods to three smaller depots as shown below. Warehouse 4 Depot A Depot B Depot C 12 miles 6 miles 7 miles 8 miles 11 miles Question 10. Workout the longest route for a driver that has to visit all three depots and return to the warehouse. W  A  C  B  W (42 miles) or W  B  C  A  W Question 11. Discuss why it is important to use the shortest route over the road network. NOT to Scale

The EXPRESS DELIVERY Courier Service, transport parcels and packages throughout the North of England. Goods arrive at each of their ten large Warehouses and are then transported over a network of routes to smaller depots for local delivery. From Warehouse 4 they transport goods to three smaller depots as shown below. Warehouse 4 Depot A Depot B Depot C 12 miles 6 miles 7 miles 8 miles 11 miles Question 12. The total running costs to keep a lorry bought from new, on- the-road is £1.20 per mile. How much does it cost for a lorry to travel 300 miles? £360 Question 13. If the average daily distance covered by a lorry is 180 miles how much is the monthly running cost for a 6 day week/4 week month. £5184 NOT to Scale

Graph Question 14. Which lorry carried the most parcels and how many was this? Lorry 4 (530) Parcels Carried by Ten Lorries from Express Delivery last Tuesday (Lorry Number) Question 15. Which lorry carried the least parcels and how many was this? Lorry 10 (140) Question 16. What percentage of lorries carried more than 400 parcels. 40% Question 17. What percentage of lorries carried less than 200 parcels. 20%

Question 18. What is the ratio of parcels carried by lorry number 9 to those carried by lorry number 10? 3:1 Parcels Carried by Ten Lorries from Express Delivery last Tuesday (Lorry Number) Question 19. Which lorry carried 1½ times more parcels than lorry 6. Lorry 5 Question 20. How many lorries carried more than 400 parcels but less than 500? 3

Question 21. 2/5 of the lorries carried less than 300 parcels. True or false? True Parcels Carried by Ten Lorries from Express Delivery last Tuesday (Lorry Number) Question 22. How many parcels were carried in total by lorries 1, 2 and Question 23. Calculate the mean and range of parcels carried. Mean = 333, range = 390 Question 24. work out the mode and median for the number of parcels carried. Mode = 250, median = 320

Network 2 Warehouse 1 Depot A Depot B Depot D 14 miles 10 miles 18 miles 20 miles 12 miles Question 25. Put yourself in the position of the manager of warehouse 1. You mange 7 lorries and it is vital that you keep costs to a minimum by reducing mileage were possible. On Monday Asif will need to drive his lorry to all four depots and return to the warehouse. He relies on you to supply him with the shortest route. What is the shortest route for this trip? Depot C 20 miles NOT to Scale 19 miles 20 miles 15 miles W  B  D  A  C  W or W  C  A  D  B  W = 75 miles

Worksheets Warehouse 4 Depot A Depot B Depot C 12 miles 6 miles 7 miles 8 miles 11 miles NOT to Scale Warehouse 1 Depot A Depot B Depot D 14 miles 10 miles 18 miles 20 miles 12 miles Depot C 20 miles NOT to Scale 19 miles 20 miles 15 miles For Q For Q 25 worksheet

Parcels Carried by Ten Lorries from Express Delivery last Tuesday (Lorry Number) For Q worksheet

Teacher Q + A Question 1. How far does a lorry travel if it goes from warehouse 4 to depot B and then to depot C and return to the warehouse? 30 miles Question 2. Express the answer to Question 1 in km. 5 miles  8km  48 km Question 3. If the lorry travels at an average speed of 48 mph how long will it take for the journey; warehouse 4  depot A  depot C  warehouse 4? 30 minutes Question 4. If a lorry can carry 150 parcels. How many journeys would be needed to carry 700 parcels? 5 Question 5. A lorry left the warehouse one morning at 8.00 am with 125 parcels with an average weight of 8½ kg. Calculate the weight of the load carried in: (a) kg (b) Tonnes Question 6. In another lorry the average weight of the parcels were 6.4 kg. How much is this in? (a) g (b) lbs 6400g6.4 x 2.2 = lbs Question 7. A lorry left the depot one morning at 7.30 am and returned at 5.15 pm. (a) How long was the lorry away from the depot for? (b) What was his return time in 24 hour clock? 9 hours 45 min1715 Question 8. The distance between depots A and B is what fraction of the distance between depots B and C? 2/3 Question 9. Workout the shortest route for a driver that has to visit all three depots and return to the warehouse. W  A  B  C  W (33 miles) or W  C  B  A  W Question 10. Workout the longest route for a driver that has to visit all three depots and return to the warehouse. W  A  C  B  W (42 miles) or W  B  C  A  W Question 11. Discuss why it is important to use the shortest route over the road network. Teachers Q + A (1)

Question 12. The total running costs to keep a lorry bought from new, on- the-road is £1.20 per mile. How much does it cost for a lorry to travel 300 miles? £360 Question 13. If the average daily distance covered by a lorry is 180 miles how much is the monthly running cost for a 6 day week/4 week month. £5184 Question 14. Which lorry carried the most parcels and how many was this? Lorry 4 (530) Question 15. Which lorry carried the least parcels and how many was this? Lorry 10 (140) Question 16. What percentage of lorries carried more than 400 parcels. 40% Question 17. What percentage of lorries carried less than 200 parcels. 20% Question 18. What is the ratio of parcels carried by lorry number 9 to those carried by lorry number 10? 3:1 Question 19. Which lorry carried 1½ times more parcels than lorry 6. Lorry 5 Question 20. How many lorries carried more than 400 parcels but less than 500? 3 Question 21. 2/5 of the lorries carried less than 300 parcels. True or false? True Question 22. How many parcels were carried in total by lorries 1, 2 and Question 23. Calculate the mean and range of parcels carried. Mean = 333, range = 390 Question 24. work out the mode and median for the number of parcels carried. Mode = 250, median = 320 Question 25. Put yourself in the position of the manager of warehouse 1. You mange 7 lorries and it is vital that you keep costs to a minimum by reducing mileage were possible. On Monday Asif will need to drive his lorry to all four depots and return to the warehouse. He relies on you to supply him with the shortest route. What is the shortest route for this trip? W  B  D  A  C  W or W  C  A  D  B  W = 75 miles Teachers Q + A (2)

Question 1. How far does a lorry travel if it goes from warehouse 4 to depot B and then to depot C and return to the warehouse? Question 2. Express the answer to Question 1 in km. Question 3. If the lorry travels at an average speed of 48 mph how long will it take for the journey; warehouse 4  depot A  depot C  warehouse 4? Question 4. If a lorry can carry 150 parcels. How many journeys would be needed to carry 700 parcels? Question 5. A lorry left the warehouse one morning at 8.00 am with 125 parcels with an average weight of 8½ kg. Calculate the weight of the load carried in: (a) kg (b) Tonnes Question 6. In another lorry the average weight of the parcels were 6.4 kg. How much is this in? (a) g (b) lbs Question 7. A lorry left the depot one morning at 7.30 am and returned at 5.15 pm. (a) How long was the lorry away from the depot for? (b) What was his return time in 24 hour clock? Question 8. The distance between depots A and B is what fraction of the distance between depots B and C? Question 9. Workout the shortest route for a driver that has to visit all three depots and return to the warehouse. Question 10. Workout the longest route for a driver that has to visit all three depots and return to the warehouse. Question 11. Discuss why it is important to use the shortest route over the road network. Student Questions (1) Student Questions

Question 12. The total running costs to keep a lorry bought from new, on- the-road is £1.20 per mile. How much does it cost for a lorry to travel 300 miles? Question 13. If the average daily distance covered by a lorry is 180 miles how much is the monthly running cost for a 6 day week/4 week month. Question 14. Which lorry carried the most parcels and how many was this? Question 15. Which lorry carried the least parcels and how many was this? Question 16. What percentage of lorries carried more than 400 parcels. Question 17. What percentage of lorries carried less than 200 parcels. Question 18. What is the ratio of parcels carried by lorry number 9 to those carried by lorry number 10? Question 19. Which lorry carried 1½ times more parcels than lorry 6. Question 20. How many lorries carried more than 400 parcels but less than 500? Question 21. 2/5 of the lorries carried less than 300 parcels. True or false? Question 22. How many parcels were carried in total by lorries 1, 2 and 3. Question 23. Calculate the mean and range of parcels carried. Question 24. work out the mode and median for the number of parcels carried. Question 25. Put yourself in the position of the manager of warehouse 1. You mange 7 lorries and it is vital that you keep costs to a minimum by reducing mileage were possible. On Monday Asif will need to drive his lorry to all four depots and return to the warehouse. He relies on you to supply him with the shortest route. What is the shortest route for this trip? Student Questions (2)