Starter The following times are all in hours. Change them into hours and minutes… a)0.5 hours b)2.5 hours c)3.5 hours d)1.25 hours e)3.75 hours How would you change 6.71 hours into hours and minutes?  Multiply 0.71 (the decimal part) by 60  0.71 x 60 = 42.6  So 6.71 hours is 6 hours and 43 minutes (rounded) = 30 mins = 3 hours 45 mins = 1 hour 15 mins = 3 hours 30 mins = 2 hours 30 mins

Starter How would you change 6.71 hours into hours and minutes?  Multiply 0.71 (the decimal part) by 60  0.71 x 60 = 42.6  So 6.71 hours is 6 hours and 43 minutes (rounded) Change the following amounts of hours into hours and minutes a)0.52 hours b)0.79 hours c)0.278 hours d)2.65 hours e)3.12 hours (0.52 x 60) = 31.2 mins (31) (0.79 x 60) = 47.4 mins (47) (0.278 x 60) = mins (17) (0.65 x 60) = 2 hrs 39 mins (0.12 x 60) = 3 hrs 7.2 mins (7)

Planning Flights Today you will be completing tasks on a range of topics, all of which would be involved in planning an airline route We will look at measuring bearings, calculating flight times and from that planning a flight timetable We will also need to use scale in order to work out the distances between destinations

Planning Flights The flight’s route is from Glasgow to London. We need to fill in the following table: According to the scale, 4cm = 100 miles The distance from Glasgow to London = 14cm 14 ÷ 4 = 3.5 (So we need 3.5 lots of 100) 3.5 x 100 = 350 miles Journey Departure Time Distance (miles) Bearing Flight Time (rounded) Arrival Time Glasgow -London 13:00350

Planning Flights The flight’s route is from Glasgow to London. We need to fill in the following table: Journey Departure Time Distance (miles) Bearing Flight Time (rounded) Arrival Time Glasgow -London 13:00350 N 150° To measure the bearing from Glasgow to London: 1)Draw on a line pointing North (just assume the maps are all 2D!) 2)Measure the direction from north using a Protractor (you might need to figure out a way to do more than 180° 3)Bearings should always be 3-digit numbers. 43 would become 043 for example.

Planning Flights The flight’s route is from Glasgow to London. We need to fill in the following table: Journey Departure Time Distance (miles) Bearing Flight Time (rounded) Arrival Time Glasgow -London 13:00350 N 150° Time = Distance ÷ Speed (The average speed of a Boeing 747 is around 500mph) Time = 350 ÷ 500 Time = 0.7 hours To convert the decimal part to minutes, multiply it by 60 (JUST the decimal part!) 0.7 x 60 = 42 minutes The flight will need 30 mins for refueling and cleaning. When would be a sensible time to schedule departure? 40 mins 13:50 Allow extra time for delays/waiting for a free runway etc…

Planning Flights We have used a variety of mathematical skills today We have seen how pilots use bearings to know which way to travel We have also looked at how timetables would be created by considering speed, distance and time