We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately interpret and draw real life graphs. (Level 6)

We are learning to:- Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately interpret and draw real life graphs. (Level 6)

Always aim high!LESSON OBJECTIVES

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise SkillsWhich ones are you

using?

AUTHORWhere are we in

our journey?

Real life cross/curricular

links?www.mistrymaths.co.uk

http://www.mistrymaths.co.uk/

LEARNING JOURNEY


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

BRAIN IN GEAR


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Reflective Learner


Work out the following Mathematical anagrams:

TASK

EXTENSION

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

RANTGIED

LOARHIZONT

CELARVIT

EXAMPLEDITDIONA can be rearranged to make ADDITION

Gradient

Horizontal

Vertical

STARTER

EXTENSIONTASK


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


1)Simplify: 7a - 5b – 9a + 8b1) Work out the volume and surface area of the cuboid below:

= -2a + 3b

7 22) (a)

5 2 +

X 7

X 7

X 5

X 5

35-

3514 10

=

= 35 4

(b) 8

3 ÷ 6 4

8x

4

3 6=

=1832 16

9=

Fill in the blanks below:3)

1 mile ≈ …… km

1 gallon ≈ …… litres

1 kilogram ≈ …… pounds

1 inch ≈ …… cm1.6

4.5

2.2

2.5

Value of 9e - 6 when e = 54)= Replace e with 59 x 5 - 6 =39

1cm

4cm6cm

Volume of a cuboid = l x w x hVolume of a cuboid = 6 x 4 x 1Volume of a cuboid = 24cm3

2)Expand and simplify:

8(y - 6) - 3= 8y- 48 - 3= 8y - 51


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Independent Learner

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Team Worker

Reflective Learner


REAL LIFE GRAPHS INTRODUCTION

What does this graph show?D

ista

nc

e

Time

Stationary(not moving)


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Independent Learner

Positive Thinker

Team Worker

Reflective Learner




ista

nc

e

Time

Steady speed


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Independent Learner

Positive Thinker

Team Worker

Reflective Learner



Compare the other two graphs to the first one.D

ista

nc

e

Time

Fast speed

Steady speed

Slow speed


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner




ista

nc

e

Time

Acceleration


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Independent Learner

Positive Thinker

Team Worker

Reflective Learner




ista

nc

e

Time

Steady speed moving away

Stationary

Steady speed moving further away


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Independent Learner

Positive Thinker

Team Worker

Reflective Learner




ista

nc

e

Time


StationarySteady speed coming back


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Independent Learner

Positive Thinker

Team Worker

Reflective Learner




ista

nc

e

Time


Stationary

Slower steady speed moving

away


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Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?TASK 1 (LEVEL 6)

REAL LIFE GRAPHS

Match each graph with it’s statement.Graph A Graph B Graph C

Graph D Graph E Graph F


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Enterprise Skills Which ones are you using?EXTENSION 1(a) (LEVEL 6)

REAL LIFE GRAPHS

Match each graph with it’s statement.Graph A Graph B

Graph C Graph D


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Enterprise Skills Which ones are you using?EXTENSION 1(b) (LEVEL 6)

REAL LIFE GRAPHS

Match each graph with it’s statement.


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Independent Learner

Positive Thinker

Team Worker

Reflective Learner


REAL LIFE GRAPHS EXTENSION 1(c) (LEVEL 6) – CARD SORT


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Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?EXAMPLE

REAL LIFE GRAPHS

The graph below shows the variation in the depth of water as Earnest takes his early morning bath. Match the different parts of the graph to the statements shown.

(a)

(b) (c)

(d)

(e)

(f)

(g)

Pulls the plugHot and cold

taps turned on Turns off hot tap

Gets into bath

Cold tap turned off, gets undressed

Gets out of bathRelaxes in bath


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Independent Learner

Positive Thinker

Team Worker

Reflective Learner


REAL LIFE GRAPHS

A test tube containing a chemical liquid is used in an experiment. During the experiment the depth d of the liquid changes with time t. Match the different parts of the graph to the statements below.

(a)

(b)

(c)(d) (e)

Liquid is added slowly to the test tube

Some liquid is poured in quite quickly

The test tube is emptied

The level of the liquid remains constant

Some liquid is poured out quickly

TASK 2 (LEVEL 6)


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REAL LIFE GRAPHS

1)TASK 3 (LEVEL 6)

Write a story explaining the journey from London to Paris and back.


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REAL LIFE GRAPHS

2)TASK 3 (LEVEL 6)

In pairs, create a story about this graph to explain what is happening.


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Independent Learner

Positive Thinker

Team Worker

Reflective Learner


REAL LIFE GRAPHS

1)TASK 4 (LEVEL 6)

2)

15g

6g

10 seconds

Not being eaten

60m9.5

secs110m

No distance covered in 0 secs


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Independent Learner

Positive Thinker

Team Worker

Reflective Learner


REAL LIFE GRAPHS EXTENSION 2 (LEVEL 6)

1)Create your own real life graph by labelling each part and the axes.

2)Write a commentary about what your graph shows.

3)How would you calculate the average speed from your graph?


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Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?MINI-PLENARY – ASSESSING UNDERSTANDING

REAL LIFE GRAPHS

Water is poured into each of the containers below at a constant rate. The graphs show how the depth (d) of the water varies with time (t). Match the

containers to their corresponding graphs.

dd d

t t

d

tt

DISCOVERY

LINK BACK TO OBJECTIVES

- Accurately interpret and draw real life graphs.


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


What level are we

working at?


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Independent Learner

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Reflective Learner

Enterprise Skills Which ones are you using?PLENARY ACTIVITY 1 - MATCHING

Match the graphs with their respective descriptions.

REAL LIFE GRAPHS

20


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Reflective Learner

Enterprise Skills Which ones are you using?PLENARY ACTIVITY 2

REAL LIFE GRAPHS

I set off from home to pick up a dog from the vet. I travelled for 1.5 hours at an average speed of 60km/h. It took me 30 minutes to get the dog settled into my car. I then

travelled back home at an average speed of 40km/h as I did not want to jolt the dog. Draw a distance-time graph of the journey.

40

60

80

100

Dis

tan

ce f

rom

ho

me

(km

)

1 2 3 4 5Time

(hours)0

90km ÷ 40km/h = 2.25hours

Draw your brain

What have you learnt?

In your brain, write or draw everything you can remember about drawing real life graphs. It can be a skill or a reflection, or something else that

might be prominent in your brain.

What level are we

working at?

Where are we in our

journey?

.

How well do you understand the task?

I don’t understand

I nearly understand

I fully understand


Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner


SELF ASSESSMENT

Plenary Activity

www.mistrymaths.co.uk


SELF ASSESSMENT

Plenary Activity

On your post it notes…

Think about how you can improve your

work.

WWW (What Went Well)

EBI (Even Better If)


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Positive Thinker

Team Worker

Reflective Learner


www.mistrymaths.co.uk


We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately interpret and draw real life graphs. (Level 6)

Documents

graph b graph c graph

real life graphs introduction

real life graphs extension

example real life graphs

mathematical learning

stationary steady speed

b level

card sort slide