We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately calculate the values of expressions by algebraic

We are learning to:- Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately calculate the values of expressions by algebraic substitution. (Levels 4-6)

Always aim high!LESSON OBJECTIVES

Creative Entrepreneur

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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


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Enterprise Skills Which ones are you using?

BRAIN IN GEAR


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Work out the following Mathematical anagrams:

TASK

EXTENSION

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

LAIERAVB

METR

REXIPONESS

EXAMPLEDITDIONA can be rearranged to make ADDITION

Variable

Term

Expression

3 1

STARTER

EXTENSIONTASK


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1)Convert to an decimal and percentage:

1) Work out the volume and surface area of the cuboid below:= 85%

2) (a) 7 5 -

X 3

X 3

X 7

X 7

21-

2115 7

=

= 21 8

(b) 10

6 ÷ 3 2

10x

2

6 3=

=1820 10

9=

2cm

= 0.85

Work out the averages and range for: 1, 5, 5, 9, 10

3)

Mode =5Median = 5Mean = = 6Range = 10 - 1 = 9

7cm4cm

Volume of a cuboid = l x w x hVolume of a cuboid = 7 x 4 x 2Volume of a cuboid = 56cm3

Surface Area = 2lw + 2hw + 2lhSurface Area = 2 x7x 4 + 2 x 2 x 4 + 2x 7 x

Surface Area = 56 + 16 + 28

Surface Area =

2

100cm 2


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ALGEBRAIC SUBSTITUTION

EXAMPLES

Coffee (c) = 10

Tea (t) = 10

Muffin (m) = 4

Flapjack (f) = 2

Juice (j) = 5

Sandwich (s) = 20

Biscuits (b) = 3

Water (w) = 1

Menu

(a) s – 4

(b) 5c

(c) 5 + j + b

(d) 3m – 5

(e) 6t + f

(f) 5w + 6 + s + 2t

(g) 2( j + 7)

(h) 3(b – 1)

What is the value of the following expressions?

= 20 - 4 = 16

= 5 x 10 = 50

= 5 + 5 + 3 = 13

= 3 x 4 - 5 = 7

= 6 x 10 + 2 = 62

= 5 x 1 + 6 + 20 + 2 x 10 = 51

= 2 x (5 + 7) = 24

= 3 x (3 – 1) = 6


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TASK 1 (LEVEL 4) – BOARD GAME EASIER


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TASK 2 (LEVEL 4) – BOARD GAME HARDER


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TASK 3 (LEVEL 4) – TOP TRUMPS


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TASK 3 (LEVEL 4) – TOP TRUMPS


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TASK 3 (LEVEL 4) – BOARD GAME HARDER


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TASK 4 (LEVEL 4) – TREASURE HUNT


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TASK 5 (LEVELS 4 - 5) - CODEBREAKER


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TASK 5 (LEVELS 4 - 5) - CODEBREAKER

= -2 + 6= 4M= 4 x 4= 16Y= -8 ÷ -2= 4M= 8 - 16= -8A= -3 + 14= 11T

= 0 - 1= -1H= -5 x -2= 10S= 9 - - 2 = 11T

= -2 x 2= -4E= -5 + -3= -8A

= 2 - 8= -6C= 1 + - 2= -1 H= -7 - - 3

= -4E= -3 x -3= 9R

= 16 - 16= 0I

= 2 x 7 - 4= 10S

= 4 - 12= -8A= 2(1 – 4)

= -6C= -1(2 x 2)= -4E

MY MATHS TEACHER IS ACE


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TASK 6 (LEVELS 4 - 5) - CROSSNUMBER

5 4 9 1

7 9 6

6 8 4 8

8 2 6 8

5 9 1 7

7 8 1 3

6

9

2

7 8 88 3

0


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TASK 7 (LEVELS 4 - 5) – DOT TO DOT

Join each question number to its answer. The bold numbers are good starting points.

Make sure you answer every

question. Lines will only be horizontal or

vertical. If you reach a dead end, stop.

= 16= 22

= 33

= 47= 61

= 16= 23= 48

= 10= 46

= 45= 13= 59= 52

= 62

= 28

= 39

= 44= 31

= 12= 9= 56

= 27= 42

= 62

= 3= 7

= 6

= 21= 53= 30

= 50= 59

= 49= 25

= 18= 15

= 36= 54

= 32= 57= 19

= 64

= 41= 14

= 42= 51

= 2

= 17= 55= 35

= 11= 20= 10

= 29= 17

= 24


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TASK 7 (LEVELS 4 - 5) – DOT TO DOT


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Enterprise Skills Which ones are you using?EXTENSION (LEVEL 6) DOT TO DOT


Use the formulae to work out the required values. Join the question number to its answer and start on 13. After jumps, you may find it helpful to circle your new starting point so you don’t get lost.

= 19= 30

= 1= 2= 26

= 32= 39

= 42= 33

= 23= 36

= 7= 22

= 27= 1

= 24

= 28= 21

= 46= 40

= 49= 16

= 18= 34

= 38= 3

= 43= 5

= 31= 9

= 44

= 25= 48= 45

= 14

= 11

= 29= 15

= 35

= 20


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Enterprise Skills Which ones are you using?EXTENSION (LEVEL 6) DOT TO DOT


MINI-PLENARY - CATCHPHRASE

10a - c

40 + d

6c

bd

d + 4

abc

ab + e

5b

5a + cac + 8

e + d

ad + e

de + a

ac + cd

cd

b - c

a - b

a + c + e

de

7e - e

c - a c + e - d

a = 2

b = -3

c = 5

d = -4

e = 1

DISCOVERY

LINK BACK TO OBJECTIVES

- Accurately calculate the values of expressions by algebraic substitution.


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What level are we

working at?


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PLENARY ACTIVITY

T

HS

ER

MA

T

USB S

A

F

K

P

U

B

G

L

Q

V

C

H

M

R

W

D

I

N

S

X

E

J

O

T

Y

a = 5

b = 4

c = 3

d = 0

e = -2

Clear Board

Find the value of: 2aFind the value of: 2a

1010

a = 5

b = 4

c = 3

d = 0

e = -2

Points to the Green TeamPoints to the Red Team

a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: 6cFind the value of: 6c

1818


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: 9eFind the value of: 9e

-18-18


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: 9dFind the value of: 9d

00


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: 10eFind the value of: 10e

-20-20


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: a + bFind the value of: a + b

99


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: c + eFind the value of: c + e

11


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: c - aFind the value of: c - a

-2-2


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: e + c Find the value of: e + c

11


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: e - bFind the value of: e - b

-6-6


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: 2a + 3bFind the value of: 2a + 3b

2222


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: 3c – 4dFind the value of: 3c – 4d

99


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: 4d – 2cFind the value of: 4d – 2c

-6-6


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: 3e + 3aFind the value of: 3e + 3a

00


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: 4a – 2e Find the value of: 4a – 2e

2424


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: 2a + 3b - eFind the value of: 2a + 3b - e

2424


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: 3a + 5c – 9dFind the value of: 3a + 5c – 9d

3030


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: 5c + 2e + bFind the value of: 5c + 2e + b

1515


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: 6a – 4b – 3cFind the value of: 6a – 4b – 3c

55


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: e + e - bFind the value of: e + e - b

-8-8


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: aFind the value of: a

2525

22


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: cFind the value of: c

99

22


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: dFind the value of: d

00

22


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: bFind the value of: b

1616

22


a = 5

b = 4

c = 3

d = 0

e = -2

Find the value of: cFind the value of: c

2727

33


Draw your brain

What have you learnt?

In your brain, write or draw everything you can remember about calculating the values of expressions by algebraic substitution. 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


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SELF ASSESSMENT

Plenary Activity

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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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Documents

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately calculate the values of expressions by algebraic