1. Graphs GFE Content covered Situation Some more to try Reflection Test yourself cards Thinking harder What are the possibilities? Warm-up A short activity to get students thinking about the information in a question – ideal for the beginning of the lesson Choose the activity(ies) that best suits your students’ learning needs. Four questions to encourage students to think about alternative questions using the same information Four questions to encourage students to use higher order thinking skills to consider question alternatives Three more questions to practise the same approach in different contexts An opportunity for students to assess and reflect on their progress, including the grade they are working at Key points which can be printed and used at home or in pairs in the classroom

2. Graphs GFE Reflection Situation – Content covered FGraphsUse coordinates to plot points EGraphsUse conversion graphs EGraphsInterpret distance-time graphs EGraphsSolve simple problems involving coordinates EGraphsDraw lines such as x = 3 or y = x + 2 CGraphsFind the coordinates of the midpoint of the line joining two points

3. Graphs GFE Answers Situation – Warm-up 1. Write down the coordinates of B. 2. If ABCD is a parallelogram, write down the coordinates of D. 3. If this is a distance-time graph, what happens between A and B? 4. Make up a simple question about this situation.

4. Graphs GFE Prompts Thinking prompts Thinking prompts Answers Situation – What are the possibilities? 1. What can you work out from this information? 2. The graph represents a journey that covers 25 miles and takes 50 minutes altogether. For what part of the journey, OA, AB or BC, is the speed greatest? Explain how you know. (2 marks) 3. Make up a mark scheme for this question. 4. Write your own exam question about this situation. Question 3 Three kinds of marks can be given: B for something being correct, irrespective of method M for carrying out a correct step A for a correct answer Question 4 Use the Prompts button to help students who are unfamiliar with this style of question. Use the Thinking prompts button to help students be more creative with their questions.

5. Graphs GFE Situation – Thinking harder Answers 1. If A, B and C are three vertices of a parallelogram, what are the possible positions for D, the fourth vertex? 2. Write down the coordinates of the mid-point of AC. 3. If the graph represents distance in km (up) against time in minutes (along), what is the (average) speed from B to C? 4. If the graph is to represent the approximate conversion of pounds (along) to kilograms (up), which of A, B and C is on the line?

6. Graphs GFE Answers Situation – Some more to try 1. The speed in the first and last sections is the same – explain how you know that. 3. 2. 5 miles is the same as 8 kilometres. ABCD is a rectangle. Write down the coordinates of D. Draw a conversion graph to convert miles to kilometres. Plot the point for 15 miles.

7. Graphs GFE Situation – Reflection Self assess Find or write some evidence to support your assessment. Write down your next steps. You may wish to use the Test yourself cards. Self assess Find or write some evidence to support your assessment. Write down your next steps. You may wish to use the Test yourself cards. F E E E E Click below the button to reveal the grades I can  Use coordinates to plot points Use conversion graphs Interpret distance-time graphs Solve simple problems involving coordinates Draw lines such as x = 3 or y = x + 2

8. Graphs GFE These cards contain some of the key terms and skills you will need to answer graph questions. Copy down the ones you need or ask your teacher for a printout. These cards contain some of the key terms and skills you will need to answer graph questions. Copy down the ones you need or ask your teacher for a printout. What is a vertex?What are vertices? It is the corner of a shape.Vertices is the plural of vertex. How do you plot coordinates? How do you plot conversion graphs? The first number is along and the second one is up. Join the origin to the point for the conversion ‘rate’, for example (5,8) for miles to km. What does it mean if part of a distance-time graph is ‘flat’? What does the steepness of a distance-time graph tell you? It means that no distance is travelled so the traveller has stopped. It tells you how fast the traveller is moving. What does the line y = 3 look like?What does the line x = 1 look like? It is parallel to the x-axis and goes through 3 on the y-axis. It is parallel to the y-axis and goes through 1 on the x-axis. Situation – Test yourself cards

9. Graphs GFE Situation – Answers for warm-up 1.(30,10) 2. (30,25) 3. Stays still, stops, is stationary 4.Possibilities include: What are the coordinates of A? [Answer: (10,10)] What is the length of AB? [Answer: 20] If another point, E, is at (20,25), what shape is ABCE? [Answer: trapezium] Write down the coordinates of the mid-point of AB? [Answer: (20,10)]

10. Graphs GFE Situation – Answers for what are the possibilities? 1.Possible things to work out include: coordinates of points and midpoints if A and B are two vertices of an isosceles triangle, where the third could be area of triangle ABC how far it is from B to C (distance-time graph) how long it takes to travel from B to C (distance-time graph). 2. and 3. OA is the part where the speed is greatest. (1 mark) Because the line OA is steeper than AB and BC.(1 mark) 4.Possible exam questions include: What is the equation of the line through A and B? [1 mark, grade E] If the graph represents a motorcyclist’s journey, what happened between A and B? [1 mark, grade E] If the graph represents conversion between £ (up) and Euros (along), how many £s do you get for 40 Euros? [2 marks, grade E]

11. Graphs GFE Situation – Answers for thinking harder 1. (30,25) and (70,25) and (-10, -15) 2. (30,17.5) 3. 45 km/h 4. C, since there are approximately 2 pounds in a kilogram (2.2 is more exact)

12. Graphs GFE 1. The speed in the first and last sections is the same – explain how you know that. 3. 2. 5 miles is the same as 8 kilometres. ABCD is a rectangle. Write down the coordinates of D. Draw a conversion graph to convert miles to kilometres. Plot the point for 15 miles. same steepness (-3,0) Situation – Answers for some more to try Click on the question to reveal the solution

13. Graphs GFE Situation – Prompts Think of a really boring question Think of a really obvious question Think of a really hard question Think of a really strange question Think of a really short question Think of a really easy question

14. Graphs GFE Situation – Thinking prompts Is there a question that would involve multiplication? Is there a question that would involve the number 90? Is there a question that would mean dividing? Could I make a question worth 2 marks? Could I make a question with fractions in it? Could I make a question with an answer less than 1? Is there a question that would mean adding some of the numbers? Could I make a question worth 5 marks?