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