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

LEARNING JOURNEY

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

BRAIN IN GEAR

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

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

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

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

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REAL LIFE GRAPHS INTRODUCTION

What does this graph show?D

ista

nc

e

Time

Stationary(not moving)

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REAL LIFE GRAPHS INTRODUCTION

What does this graph show?D

ista

nc

e

Time

Steady speed

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REAL LIFE GRAPHS INTRODUCTION

Compare the other two graphs to the first one.D

ista

nc

e

Time

Fast speed

Steady speed

Slow speed

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REAL LIFE GRAPHS INTRODUCTION

What does this graph show?D

ista

nc

e

Time

Acceleration

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REAL LIFE GRAPHS INTRODUCTION

What does this graph show?D

ista

nc

e

Time

Steady speed moving away

Stationary

Steady speed moving further away

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REAL LIFE GRAPHS INTRODUCTION

What does this graph show?D

ista

nc

e

Time

Steady speed moving away

StationarySteady speed coming back

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REAL LIFE GRAPHS INTRODUCTION

What does this graph show?D

ista

nc

e

Time

Steady speed moving away

Stationary

Slower steady speed moving

away

Creative Entrepreneur

Responsible Citizen

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

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

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

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

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

REAL LIFE GRAPHS

Match each graph with it’s statement.

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

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

Creative Entrepreneur

Responsible Citizen

Independent Learner

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

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

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)

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REAL LIFE GRAPHS

1)TASK 3 (LEVEL 6)

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

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REAL LIFE GRAPHS

2)TASK 3 (LEVEL 6)

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

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

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

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

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?

Creative Entrepreneur

Responsible Citizen

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.

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

What level are we

working at?

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

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

Match the graphs with their respective descriptions.

REAL LIFE GRAPHS

20

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

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

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

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)

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

www.mistrymaths.co.uk