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Introduction

Introduction This is a flipchart presentation which is fully editable - feel free to use all or part of the flipchart and change whatever suits your group. If you have access to e-whiteboards I found this exercise great for students to come up and

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Introduction

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  1. Introduction This is a flipchart presentation which is fully editable - feel free to use all or part of the flipchart and change whatever suits your group. If you have access to e-whiteboards I found this exercise great for students to come up and lead the lesson - without the hand drawn graphs and charts! Also included with this is the Powerpoint version. Go to File and Page set up select Landscape for your notes and Handouts click OK. Then go to Print then Print what: select Handouts. Choose One handout per page then OK You then have a set of student notes! Hope they are of some use Enjoy!

  2. Using straight line graphs to describe real life situations and introduce concept of simultaneous equations Sample questions taken from: Edexcel 16+ Intermediate GCSE textbook Aims: To demonstrate how straight line graphs are used in real situations Introduce the consept of simultaneous equations Objectives: To draw and interpret data from straight line graphs from given unfamilar scenarios Be able to draw and interpret from simultaneous equations

  3. Use the third dot to demonstrate the concept of the increasing distance Conversion graphs Always use a minimum of 3 points to construct a straight line - the third being a check A C B

  4. Conversion graph between kilograms and pounds 11 10 9 8 7 6 5 Kilograms 1 2 3 4 5 Pounds 2.2 4.4 6.6 8.8 11 Pounds lb 4 3 Conversion: Multiply kg by 2.2 2 1 4 5 2 3 1 Kilograms kg Drag the dots to the graph, move the balck box to show the answers, drag the line to produce the conversion chart

  5. Question 1 Given that £1 is equal = 1.46e £10 is equal to 14.6e £100 is equal to 146e •Draw a conversion graph for amounts up to £200 •Use your conversion graph to convert i. £68 into Euros ii. 100 Euros into Pounds drag and drop the purple dots and the red line to produce the conversion chart 200 180 160 140 120 Euros € 100 80 60 40 20 140 160 180 200 20 40 60 80 120 100 Pounds £

  6. Introduction to Distance Time Graphs What's happening at each stage? Distance Time

  7. The following distance time graph is • shown for Susan’s car journey. • ÖWork out Susan’s distance from • home at 12.30 • ÖDescribe Susan’s journey between • 1200 and 1530 • ÖWork out Susan’s average speed • between 1630 and 1700 Example 6 Page 73 60 50 40 Distance from home (miles) 30 20 10 1700 1300 1400 1600 1200 1500 Time b a

  8. Question 2 A train travelled 430km from London to Durham. • The graph shows the train journey from London as far as York. • On the way to York, the train stopped at Doncaster. • •Write down the distance of Doncaster from London • •Work out the average speed at which the train travelled • from London to Doncaster. The train stopped at York for • 10 minutes. It then went on to Durham at a steady • speed. It did not stop between York and Durham. It • reached Durham at 12.30. • •Use the following graph and complete the distance time • graph of the train’s journey to Durham

  9. Distance Time Graph from London to Durham 440 Durham 420 400 380 340 360 York 320 300 Distance in km, from London 280 b 260 240 220 200 180 160 140 120 100 c 80 60 40 20 London Time 11.00 11.30 12.00 12.30 10.30 13.00 9.30 10.00

  10. Q3 David went for a ride on his bike. He rode from his home • to the lake. The following travel graph shows part of his • trip. • a. Find David’s average speed between 1300 and 1500 • b. What happened to David between 1500 and 1600 • He travelled at a speed of 10 miles per hour. He • remembered he had left his water bottle at the lake. He • immediately rode back to the lake at 10 miles per hour. • He picked up his water bottle and immediately travelled • back home at 20 miles per hour. • c. Complete the following travel graph

  11. 24 a 22 20 18 16 c Distance from home (km) 14 12 10 8 6 4 2 Time of Day 2000 2100 1400 1500 1600 1800 1900 1300 1700

  12. Q4 Ken and Wendy go home from their caravan site. The • caravan site is 50km from their home. Ken goes on his • bike. Wendy drives her car. The following diagram shows • information about the journeys they made. • •At what time did Wendy pass Ken • •Between which two times was Ken cycling at his greatest • speed? • •Work out Wendy's average speed for her Journey • •Describe what Ken is doing between 1130 and 1200

  13. 50 Wendy 40 Distance from home (km) 30 Ken c 20 10 b 1400 1500 1000 1100 1300 1200 Time

  14. Q 5 Elizabeth went for a cycle ride. The distance-time graph • shows her ride. She set off from home at 1200and had a • flat tyre at 1400. • During her ride she stopped for a rest. • a i. At what time did she stop for a rest? • ii. At what speed did she travel after her rest? • It took Elizabeth 15minutes to repair the flat tyre. She then • cycled home at 25kilometers per hour. • b. Complete the distance –time graph to show this information

  15. 30 Distance from home (km) 20 10 0 1600 1300 1400 1500 1200 Time b

  16. y 9 2x + y = 9 or y = -2x + 9 x12345 -2x-2-4-6-8-10 +9 +9+9+9+9 +9 Y 75 3 1-1 Introduction to Simultaneous Equations 8 7 6 5 3x - y = 6 or y = 3x - 6 x12345 3x 3 691215 -6 -6-6 -6-6 -6 y-30369 4 3 2 1 5 4 2 3 1 x -1 -2 -3 Drag the dots into the chart and complete with the line

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