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Graphs GFE
Content coveredContent covered
Situation
Some more to trySome more to try
ReflectionReflection
Test yourself cardsTest yourself cards
Thinking harderThinking harder
What are the possibilities?What are the possibilities?
Warm-upWarm-upA 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
Graphs GFE
ReflectionReflection
Situation – Content covered
F Graphs Use coordinates to plot points
E Graphs Use conversion graphs
E Graphs Interpret distance-time graphs
E Graphs Solve simple problems involving coordinates
E Graphs Draw lines such as x = 3 or y = x + 2
C GraphsFind the coordinates of the midpoint of the line joining two points
Graphs GFE
AnswersAnswers
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.
Graphs GFE
PromptsPrompts Thinking promptsThinking prompts AnswersAnswers
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 3Three 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 4Use 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.
Graphs GFE
Situation – Thinking harder
AnswersAnswers
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?
Graphs GFE
AnswersAnswersSituation – 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.
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
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
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)]
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]
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)
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 tryClick on the question to reveal the
solution
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
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?