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?