we are learning to: - enhance our mathematical learning skills. (which enterprise skills?)...

We are learning to:- Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately expand single brackets and simplify. (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.

IMPSYLIF

PRENEXSSIO

CROPUDT

EXAMPLEDITDIONA can be rearranged to make ADDITION

Simplify

Expression

Product

STARTER

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?TASK EXTENSION

1)Increase 150kg by 60%.10% = 15kg60% =

x6 x690kg

150kg + 90kg

= 240kgSimplify: 9b + 3c + 3b – 7c2)

=

1)Find the nth term and 20th term of: 4, 1, -2, -5, …..

12b- 4c

2 7

Work out the following: 3)(a)

6 1 +

4 3 (b)

8 5 ÷

X 2

X 2

X 3

X 3

12+

12

2 9=

= 1211

=

Work out the following: 4)

8

5x

7

2

= 56

10= 28

5

7 2 of £56

24 10 of 4minutes(b)

÷

x

= £16÷

x 240 seconds

= 100 seconds

2)

-3 -3 -3

-3n + 720th Term = -3 x 20 + 720th Term = -53

Use a calculator to write the following as percentages:

(a) 45 out of 80

(b) 24 out of 142

80 45

X100 = 56.3% (1d.p.)

142 24

X100 = 16.9% (1d.p.)

a2

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

EXAMPLES

EXPANDING BRACKETS

1) Expand the following brackets and simplify:

(a) 3(2g + 3h) + 2(4g – h) = 6g + 9h + 8g - 2h= 14g + 7h

(b) 4(v – 3w) - 2(4v – w) = 4v - 12w - 8v + 2w= - 4v - 10w

(c) a(a + 4b) - b(2a – 5b) = + 4ab - 2ab += + 2ab

5b2

a2 + 5b2

5b2

(d) b(5b - 6) - b(3b – 4) = - 6b - 4b+= - 2b

3b2

2b2

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

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

EXPANDING BRACKETS

1) Expand the following brackets and simplify:

(a) 4(a + b) + 2(a + b) = 4a +4b + 2a + 2b= 6a + 6b

(b) 6(5p + 2q) + 3(3p + q) = 30p + 12q + 9p + 3q= 39p + 15q

(c) 7(2e + t) + 2(e – 3t) = 14e + 7t +2e - 6t= 16e + t

(d) 2(3x – 2y) + 6(2x + y) = 6x - 4y +12x + 6y= 18x + 2y

(e) 5(m - x) + 3(2m + x) = 5m - 5x +6m + 3x= 11m- 2x

(f) 7(4u – 3k) + 5(2u – k) = 28u - 21k + 10u - 5k= 38u - 26k

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?TASK 2 (LEVEL 6)

EXPANDING BRACKETS

1) Expand the following brackets and simplify:

(a) 5(m + n) - (3m + 2n) = 5m +5n - 3m - 2n= 2m+ 3n

(b) 8(g + 3h) - 2(2g + h) = 8g+24h - 4g - 2h= 4g + 22h

(c) 7(d + 2e) - 3(2d – 3e) = 7d +14e - 6d + 9e= d + 23e

(d) 6(2 – 3x) - 3(2 – 5x) = 12 - 18x - 6 + 15x= 6 - 3x

2mn

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?TASK 3 (LEVEL 6)

EXPANDING BRACKETS

1) Expand the following brackets and simplify:

d2

(a) d(d + h) + h(2h + d) = + dh + +=

dhd2

m(3m + 7n) + n(2m – 4n) (b)

(c) e(5e + 4f) - f(2e + 3f) (d) y(4x – 2y) + x(7y + 5x)

(e) k(4k – 2t) - t(3k + 7t) (f) j(j + 7r) - r(2r – 9j)

2h2

+ 2dh+ 2h2

3m2= +7mn + -= 3m2

4n2

+ 9mn - 4n 2

2ef5e2= + 4ef - -= 5e2

3f2

+ 2ef - 3f2

7xy4xy= - + +=

5x2

+ 11xy

2y2

5x2 - 2y2

3kt4k2= - 2kt - -

4k2

7t2

- 5kt - 7t2=

j2= +7jr - +=

9jr j2

2r 2

+ 16jr - 2r2

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?TASK 4 (LEVEL 6) – NAUGHTS AND CROSSES GAME

EXPANDING BRACKETS

In pairs, create three of your own naughts and crosses grids on expanding brackets and simplifying as shown below. Best out of three to win.

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

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

EXPANDING BRACKETS

8(x + 2) + 7(x – 3) – 5(x – 4)

9 + 6(x – 5) + (3x – 8)

2(x + 3) –7(x – 1) – (4x + 15)

7x – (3x + 2) + (2x – 7) + 10

6(2x + 5) – 4(3x – 4) – (2x + 7) + 2x

1) Match the following expressions with their respective answers:

EXPRESSIONS ANSWERS

10x + 15

9x – 29

– 9x – 2

6x + 1

39

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?MINI-PLENARY ACTIVITY – SPOT THE MISTAKE

EXPANDING BRACKETS

Find the mistakes:

(a) 6(2 – 3x) - 3(2 – 5x) = 12 - 18x - 6 - 15x= 6 + 33x

(b) j(j + 7r) - r(2r – 9j) j2= - 7jr - +

=

9jr j2

2r

+ 16jr - 2r2

DISCOVERY

LINK BACK TO OBJECTIVES

- Accurately expand single brackets and simplify.

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 (BINGO)

EXPANDING BRACKETS

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

Clear Board

Expand and simplify: Expand and simplify: 2(x+5) + 2(x+5)2(x+5) + 2(x+5)

4x+204x+20

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 3(x+2) + 2(x+6)3(x+2) + 2(x+6)

5x+185x+18

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 5(x+2) + 3(x+5)5(x+2) + 3(x+5)

8x+258x+25

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 6(x+7) + 2(x+2)6(x+7) + 2(x+2)

8x+468x+46

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 3(y+3) + 3(y+6)3(y+3) + 3(y+6)

6y+276y+27

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 3(x+8) + 2(x-5)3(x+8) + 2(x-5)

5x+145x+14

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 5(x+4) + 3(x-2)5(x+4) + 3(x-2)

8x+148x+14

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 4(x+6) + 2(x-2)4(x+6) + 2(x-2)

6x+206x+20

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 5(x+7) + 4(x-2)5(x+7) + 4(x-2)

9x+279x+27

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 6(x+2) + 4(x-3)6(x+2) + 4(x-3)

10x10x

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 3(x-2) + 2(x+4)3(x-2) + 2(x+4)

5x+25x+2

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 4(x-1) + 2(x+3)4(x-1) + 2(x+3)

6x+26x+2

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 5(x-3) + 4(x+6)5(x-3) + 4(x+6)

9x+99x+9

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 6(x-4) + 4(x+5)6(x-4) + 4(x+5)

10x-410x-4

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 6(x-3) + 4(x+3)6(x-3) + 4(x+3)

10x-610x-6

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 3(x-2) + 2(x-3)3(x-2) + 2(x-3)

5x-125x-12

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 5(x-4) + 3(x-5)5(x-4) + 3(x-5)

8x-358x-35

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 8(x-3) + 4(x-6)8(x-3) + 4(x-6)

12x-4812x-48

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 9(x-3) - 5(x-4)9(x-3) - 5(x-4)

4x-74x-7

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 10(x-6) - 7(x-9)10(x-6) - 7(x-9)

3x+33x+3

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: m(n+g) + g(g+7m)m(n+g) + g(g+7m)

gg22+8mg+8mg+mn+mn

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: t(m+w) + w(w+6t)t(m+w) + w(w+6t)

ww22+7tw+7tw +mt+mt

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 4r(a+6) + a(a+7r)4r(a+6) + a(a+7r)

aa22+11ar+11ar +24r+24r

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 8t(d+9) + d(d+5t)8t(d+9) + d(d+5t)

dd22+13dt+13dt +72t+72t

Points to the Green TeamPoints to the Red Team

Expand and simplify: Expand and simplify: 8y(z-2) - y(y-7z)8y(z-2) - y(y-7z)

-y-y22+15yz+15yz -16y-16y

Points to the Green TeamPoints to the Red Team

Draw your brain

What have you learnt?

In your brain, write or draw everything you can remember about expanding single brackets and simplifying. 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