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S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Revision of Level Time Calculating Distance Time Distance Speed www.mathsrevision.com Calculating.

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Presentation on theme: "S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Revision of Level Time Calculating Distance Time Distance Speed www.mathsrevision.com Calculating."— Presentation transcript:

1 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Revision of Level Time Calculating Distance Time Distance Speed www.mathsrevision.com Calculating Speed Calculating Time Mixed Problems Time – Distance Graphs Time Difference ( Counting Method)

2 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

3 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 2.Convert 24hr to 12hr clock. 1.To revise previous Time work. Time Revision of Time 1.Convert 12hr to 24hr clock. 3.Count Method to find time intervals.

4 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 2.Change from 24 to 12 hour clock. 1.To revise Level D work on converting between 12 and 24 hr clock and vice versa. Revision on Time 1.Change from 12 to 24 hour clock. Converting Time

5 5-Aug-15Created by Mr. Lafferty Maths Dept. 230022002100200019001800170016001500140013001200 11 pm10 pm9 pm8 pm7 pm6 pm5 pm4 pm3 pm2 pm1 pmmidday 110010000900080007000600050004000300020001000000 11 am10 am9 am8 am7 am6 am5am4 am3 am2 am1 am midnight 12/24 Hour Clock To go from 12 hour clock to 24 hour clock just add 12 to the pm hours: 2000 2100 1830 2330 1620 Examples 8 pm becomes 9 pm becomes 6:30 pm becomes 11:30 pm becomes 4:20 pm becomes 3:10 pm becomes 1510

6 5-Aug-15Created by Mr. Lafferty Maths Dept. 230022002100200019001800170016001500140013001200 11 pm10 pm9 pm8 pm7 pm6 pm5 pm4 pm3 pm2 pm1 pmmidday 110010000900080007000600050004000300020001000000 11 am10 am9 am8 am7 am6 am5am4 am3 am2 am1 am midnight 12/24 Hour Clock To go from 24 hour clock to 12 hour clock just subtract 12 from the hours if it is greater than 12: 8 pm 9 pm 5:30 pm 10:08 pm 8:06 pm Examples 2000 becomes 2100 becomes 1730 becomes 2208 becomes 2006 becomes 1350 becomes 1:50 pm

7 greater than 12 subtract 12 Let’s make up our own questions ! 5-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com S3 General Converting Time Key Points 12 hour clock Analogue clock ALWAYS use AM or PM 24 hour clock Digital clock NEVER use AM or PM pm times add on 12 ALWAYS 4 digits Hours 0 - 24 Hours 1 - 12

8 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Now try Exercise 1 Ch10 (page 108) www.mathsrevision.com Time Revision of Time

9 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com A TW

10 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 2.Find time differences between two times, showing all working. 1.To explain the counting method to find the difference between two times. 1.Understand the counting method. Counting Method

11 5-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Level D Counting Method When working out time difference we will use the Counting Method. This method will always work. Example : Find the time difference between 08 40 hrs and 11 10 hrs 08 4011 0011 10 HrsMins 20 2 10 230 nearest hour What’s left + 09 00 hours 20 mins2 hrs10 mins

12 A bus leaves Kirkintilloch Main Street at 14 40 hrs and arrives in Aberdeen at 18 50 hrs. How long was the journey. 5-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Level D Counting Method 14 4018 0018 50 HrsMins 20 3 50 370 nearest hour What’s left + 15 00 hours 20 mins3 hrs50 mins But there are 60 minutes = 1hour 70 mins = 1hr 10mins 4hrs 10 mins

13 Using Timetables 2314 2302 2254 2248 2243 2237 2225 2214 2202 2154 2148 2143 2137 2125 2114 2102 2054 2048 2043 2037 2025 Until Hour Every And 1114 1102 1054 1048 1043 1037 1025 1014 1002 0954 0948 0943 0937 0925 0914 0902 0854 0848 0843 0837 0825 Glasgow Bus Station George Square Port Dundas Springburn Milton Bishopbriggs Kirkie Bus Station * * * How long does the first bus take from Kirkie to Glasgow. 35 0 14 HrsMins 49 + 08 2509 0009 14 nearest hour What’s left 09 00 hours 35 mins0 hrs14 mins 35 0 14

14 Let’s make up our own question ! The key steps are left on the slide to help you. 5-Aug-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Level D Counting Method HrsMins nearest hour What’s left + hours mins hrs mins But there are 60 minutes = 1hour

15 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Now try Exercise 2 Ch10 (page 109) www.mathsrevision.com Time Revision of Level D/E

16 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com 4x 6x 120 o 70 o 4x

17 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Know the distance formula. 1. To explain how to work out simple distance calculations using the distance formula. Distance Working Out Distance 2.Use the formula to work out simply distance calculations.

18 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Distance Working out Distances Imagine you were travelling in a train at a steady speed of 80km/hr. In 1 hour you travel :80 x 1 = 80 km In 2 hours you travel :80 x 2 = 160 km In 3 hours you travel :80 x 3 = 240 km Can you guess what the formula is : in symbols

19 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Now try Exercise 3 Ch10 (page 110) www.mathsrevision.com Distance Working Out Distance

20 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

21 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Know the speed formula. 1. To explain how to work out simple speed calculations using the speed formula. Speed Working Out Speed 2.Use the formula to work out simple speed calculations.

22 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Speed Working Out Speed Imagine you sailed 45 kilometres between two islands and it took 3 hours. In 3 hours you travel := 45 km In 1 hour you travel : 45 ÷ 3 = 15 km This means your speed is :15km/hr Can you guess what the formula is : in symbols

23 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Now try Exercise 4 Ch10 (page 112) www.mathsrevision.com Speed Working Out Speed

24 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com x cm 4 cm

25 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria Time Working Out Time 1. To explain how to work out simple time calculations using the time formula. 1.Know the time formula. 2.Use the formula to work out simple time calculations.

26 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Time Working Out Time Imagine you flew 800 miles to Paris and the average speed of the plane was 200 miles/hr. To travel 200 miles takes 1 hour : To travel 800 miles takes : 800 ÷ 2 00 = 4 hours Can you guess what the formula is : in symbols

27 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Now try Exercise 5 Ch10 (page 113) www.mathsrevision.com Time Working Out Time

28 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

29 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. To show the traingle method of remembering the distance, speed and time formulae. 1. Know and remember triangle method for distance, speed time problems. Time Distance Speed Mixed Problems 2. Apply triangle method to mixed problems.

30 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Time Distance Speed Mixed Problems D ST D=S x T Simple way to remember the 3 formulae !

31 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Time Distance Speed Mixed Problems D ST Example 1 : Daniel drove from his house to the Blackpool, a distance of 135 miles. It took him 2hrs 15mins. What was his average speed? Working Time MUST be in decimal form

32 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Time Distance Speed Mixed Problems D ST Example 2 : A racing car travelled at 50 km/hr. What is the distance covered in 6 hours ? Working

33 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Time Distance Speed Mixed Problems D ST Example 1 : How long did the bus journey take if it travelled a total distance of 60 km at and an average speed of 40 km/hr. Working

34 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Now try Exercise 6 Ch10 (page 114) www.mathsrevision.com Time Distance Speed Mixed Problems

35 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

36 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.To interpret Time – Distance Graphs. 1. Understand the term interpret. Time Distance Graph 2.Understand that the speed can be calculated from the Time - Distance Graph. Interpreting Time – Distance Graphs

37 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Time Distance Graph Interpreting Time – Distance Graphs

38 S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Now try Exercise 7 Ch10 (page 115) www.mathsrevision.com Time Distance Speed


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