l.o. finding connections between different words

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L.O. - Finding connections between different words. -Accurately read and find the average speed from a distance-time graph. Always aim high!

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Always aim high!. L.O. Finding connections between different words. Accurately read and find the average speed from a distance-time graph. EXAMPLE DITDIONA can be rearranged to make ADDITION. TASK. Work out the following Mathematical anagrams:. Speed. Gradient. Average. EXTENSION. - PowerPoint PPT Presentation

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Page 1: L.O. Finding connections between different words

L.O.- Finding connections between different words.

-Accurately read and find the average speed from a distance-time graph.

Always aim high!

Page 2: L.O. Finding connections between different words

Work out the following Mathematical anagrams:

TASK

EXTENSION

Develop your own Mathematical anagrams as above as a creative thinker.

DEEPS

RATGIEND

VEERAAG

EXAMPLEDITDIONA can be rearranged to make ADDITION

Speed

Gradient

Average

Page 3: L.O. Finding connections between different words

1)

EXTENSION

STARTER

Distance = ? kilometresSpeed = 13 km/hTime = 3 hours

Distance = 130 kmSpeed = ? Km/hTime = 2 hours

2)

3) Distance = 48 mSpeed = 4 m/sTime = ? seconds

1) Distance = 60 kmSpeed = ? km/hTime = 30 minutes

2) Distance = 20 kmSpeed = ? km/hTime = 15 minutes

Speed = 130miles

2hours = 65km/h Distance = 13km/h x 3hours = 39km

Time = 48m

4m/s = 12seconds

Speed = 60miles0.5hour = 120km/h Speed =

20km0.25hour = 80km/h

Page 4: L.O. Finding connections between different words

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner Which ones are you

using?PLT Skills

INTRODUCTIONDISTANCE-TIME GRAPHS

Dis

tan

ce

Time

MATCH THE PICTURES WITH THEIR RESPECTIVE GRAPHSA

B

C

D

E

What connections can you make?

The steeper the line the faster it is

Page 5: L.O. Finding connections between different words

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner Which ones are you

using?PLT Skills

INTRODUCTIONDISTANCE-TIME GRAPHS

What connections can you make with the picture above

and the real world?

At this speed, how far would I travel in 1 hour?

At this speed, how far would I travel in 2 hours?

At this speed, how far would I travel in 20 minutes?

At this speed, how far would I travel in 10 minutes?

30 km

30 x 2 = 60 km

15 km

10 km

Two lots of 30 minutes in an hour

Three lots of 20 minutes in an hour

Six lots of 10 minutes in an hour

5 km

Page 6: L.O. Finding connections between different words

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner Which ones are you

using?PLT Skills

INTRODUCTIONDISTANCE-TIME GRAPHS

If I travel 60 km in 1 hour. What is my speed in km/h?

If I travel 7 km in 10 minutes. What is my speed in km/h?

60 70

48 42

1) 2)

3) 4)

If I travel 70 km in 1 hour. What is my speed in km/h?

If I travel 48 km in 1 hour. What is my speed in km/h?

Page 7: L.O. Finding connections between different words

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner Which ones are you

using?PLT Skills

INTRODUCTIONDISTANCE-TIME GRAPHS

Dis

tan

ce

(k

m)

Time (hours)

How long did he stop for?

His speed for the first hour?

How long did it take him to run 40km?

45 minutes

8km

10km

15mins15mins

2hours 45mins15min

s

30min

s

45min

s

Page 8: L.O. Finding connections between different words

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?DISTANCE-TIME GRAPHSEXAMPLEThe distance–time graph below represents a car journey from Barnsley to Nottingham, a distance of 50 km, and back again.

(a) What can you say about points B, C and D?(b) What can you say about the journey from D to F?

20mins

Page 9: L.O. Finding connections between different words

(c) Work out the average speed for each of the five stages of the journey.

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?DISTANCE-TIME GRAPHSEXAMPLEThe distance–time graph below represents a car journey from Barnsley to Nottingham, a distance of 50 km, and back again.

16km

20m

ins

A-B20mins = 16km60mins =

x3 x348km

48km/h

10mins

19k

m

B-C10mins = 19km60mins =

x6 x6114km

114km/h

20mins

15km

C-D20mins = 15km60mins =

x3 x345km

45km/h

D-ERepresents a stop for 20

minutes

20mins

50km

60mins

E-F60mins = 50km

50km/h

Page 10: L.O. Finding connections between different words

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT Skills

Which ones are you using?

TASK (GRADE D) 1) 2)

DISTANCE-TIME GRAPHS

Paul was travelling in his car to a meeting. This distance–time graph illustrates his journey.

(a) How long after he set off did hei) stop for his breakii) set off after his breakiii) get to his meeting place?(b) At what average speed was he travelling:i) over the first hourii) over the second houriii) for the last part of his journey?(c) The meeting was scheduled to start at 10.30 am.What is the latest time he should have left home?

A small bus set off from Leeds to pick up Mike and his family. It then went on to pick up Mike’s parents and grandparents. It then travelled further, dropping them all off at a hotel. The bus then went on a further 10 km to pick up another party and took them back to Leeds. This distance–time graph illustrates the journey.

(a) How far from Leeds did Mike’s parents and grandparents live?(b) How far from Leeds is the hotel at which they all stayed?(c) What was the average speed of the bus on its way back to Leeds?

2 hours

3 hours

5 hours

40km/h120km/h

40km/h

6.30am

30km

40km

100km/h

Page 11: L.O. Finding connections between different words

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT Skills

Which ones are you using?

TASK (GRADE D) 3) 4)

DISTANCE-TIME GRAPHS

James was travelling to Cornwall on his holidays. This distance–time graph illustrates his journey.

(a) His greatest speed was on the motorway.i) How far did he travel along the motorway?ii) What was his average speed on the motorway?(b) i) When did he travel most slowly?ii) What was his lowest average speed?

Azam and Jafar were having a race. The distance–time graph below illustrates the distances covered.

Write a commentary to describe the race.

125km

125km/h

Between 2-3pm25km/h

Page 12: L.O. Finding connections between different words

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT Skills

Which ones are you using?

EXTENSION (GRADE D) 1) 2)

DISTANCE-TIME GRAPHS

A walker sets off at 9.00 am from point P to walk along a trail at a steady pace of 6 km per hour. 90 minutes later, a cyclist sets off from P on the same trail at a steady pace of 15 km per hour.

At what time did the cyclist overtake the walker? You may use a graph to help you solve this question.

Three school friends all set off from school at the same time, 3.45 pm. They all lived 12 km away from the school. The distance–time graph below illustrates their journeys.

One of them went by bus, one cycled and one was taken by car.(a) i) Explain how you know that Sue used the bus.ii) Who went by car?(b) At what time did each friend get home?(c) i) When the bus was moving, it covered 2 kilometres in 5 minutes. What is this speed in kilometres per hour?ii) Overall, the bus covered 12 kilometres in 35 minutes. What is this speed in kilometres per hour?iii) How many stops did the bus make before Sue got home?

Stopped several timesRavinder

Ravinder 3.55pmSue 4.20pm

Michael 4.35pm

24km/h

20.6km/h

5

Page 13: L.O. Finding connections between different words

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?

MINI-PLENARY

DISTANCE-TIME GRAPHS

Write a description of the journey for each of the following graphs below:

Click to reveal Click to reveal Click to reveal

Page 14: L.O. Finding connections between different words

DISCOVERY

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Reflective Learner Which ones are you

using?PLT Skills

LINK BACK TO OBJECTIVES

- Accurately read and find the average speed from a distance-time graph.

What grade are we

working at?

Page 15: L.O. Finding connections between different words

PLENARY ACTIVITYEXAM QUESTION (GRADE D)

The graph shows Amy’s progress on a sponsored walk.

(a) How many times does Amy stop during her walk?Answer .......................................................................... (1 mark) (b) Between which times does Amy walk the fastest? Explain your answer.Answer ...............................................................Explanation .......................................................................................................................................................................................................................................... (2 marks)

(c) Bill sponsors Amy for 20 pence per kilometre.Kate sponsors Amy for 30 pence per kilometre.How much should Amy collect altogether from Bill and Kate after her walk?.................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... Answer £ ...................... (3 marks)

Stop

Stop

2 times

11:30 – 12:30This is where the line is steepest

19km

20p x 19 = £3.80 30p x 19 = £5.70

9.50

Page 16: L.O. Finding connections between different words

What have you learnt?

In your brain, write or draw everything you can remember about reading and finding the average speed from a distance-time graph. It can be a skill or a reflection, or something else that might be prominent in your

brain.

Draw your brain

What grade we working

at?

Where are we in our

journey?

Page 17: L.O. Finding connections between different words

.

How well do you understand the task?

I don’t understand

I nearly understand

I fully understand

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Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

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using?

Page 18: L.O. Finding connections between different words

Plenary Activity

On your post it notes…

Think about how you can improve your

work.

WWW (What Went Well)

EBI (Even Better If)