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PLT Skills
LESSON OBJECTIVES

• We are learning to
• Enhance Mathematical basic skills knowledge.
  (Which PLT skills?)
• Accurately solve quadratic equations by using the
  quadratic formula. (Grade A)

Always aim high!
AUTHOR
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LEARNING JOURNEY
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PLT Skills
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STARTER
PLT Skills
TASK
Factorise x2 5x 14
Factorise x2 10x 24
Factorise 16y2 20y
2)
1)
3)
(x 4)(x 6)
4y(4y 5)
(x 7)(x 2)
Factorise and simplify x2 4x 5
x2 5x 6
Factorise h2 81
Factorise and simplify
4)
5)
6)
x2 25_ x2 5x
(h 9)(h - 9)
EXTENSION
Solve
2x2 32 0
(x 4)(x 4) 0
x2 16 0
2
x -4 or x 4
4
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PLT Skills
Quadratic Formula
EXAMPLES
Solve the following equations by using the
quadratic formula
(a)
2x2 3x - 20 0
(b)
5x2 - 11x - 4 0
a 2
b 3
c -20
a 5
b -11
c -4
-
-
x
3
3
2
4
2
x
-20
(-11)
2
-
x
-
-11
4
5
x
-4
X
X
x
2
2
x
2
5
-
3

9
160

11
121
80
X
X
4
10
-
3
169
11
201
X
X
4
10
-
-
3

169
3
169
-
11

201
11
-
201
OR
X
X
OR
X
X
4
4
10
10
2.5
- 4
X
X
2.52 (2d.p.)
- 0.32 (2d.p.)
X
X
5
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PLT Skills
Quadratic Formula
TASK 1 (GRADE A)
1) Solve the following using the quadratic
formula
(b)
(a)
1
9
-2
1
5
3
-2
9
1
9
5
1
3
5
1
1
5
13
9
89
2
2
0.22
-9.22
-0.70
-4.30
(c)
(d)
8
2
3
-5
3
-1
2
-5
3
-1
8
3
8
3
3
2
8
76
3
49
4
6
0.12
1
-2.5
-2.79
6
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PLT Skills
Quadratic Formula
TASK 2 (GRADE A)

• 1) Solve the following using the quadratic
  formula
• 2x x - 8 0
• b) 3x 5x 1 0
• c) x - x - 10 0
• d) 5x 2x - 1 0
• e) 7x 12x 2 0
• f) 3x 11x 9 0
• g) 4x 9x 3 0
• h) 6x 22x 19 0
• i) x 3x 6 0
• j) 3x - 7x 1 0

k) 2x 11x 4 0 l) 4x 5x - 3 0 m)
4x - 9x 4 0 n) 7x 3x - 2 0 o) 5x -
10x 1 0
2
x 1.77 or x -2.27
2
x -0.39 or x -5.11
2
x -0.23 or x -1.43
2
x 0.44 or x -1.69
2
x 3.7 or x -2.7
2
x 1.64 or x 0.61
2
x 0.29 or x -0.69
x 0.36 or x -0.79
2
x -0.19 or x -1.53
2
x 1.89 or x 0.11
2
x -1.23 or x -2.43
2
2
x -0.41 or x -1.84
2
x -1.39 or x -2.27
x 1.37 or x -4.37
2
2
x 2.18 or x 0.15
EXTENSION (GRADE A)
1) Mavis is solving a quadratic equation using
the quadratic formula. She correctly substitutes
in values for a, b and c to get
What is the equation Mavis is trying to solve?
x2 - 3x - 7 0
2) Junior uses the quadratic formula to solve
Sienna uses factorisation to solve They
both find something unusual in their solutions.
Explain what this is.
7
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PLT Skills
Quadratic Formula
MINI-PLENARY SPOT THE MISTAKES
The student has solved the equation using the
quadratic formula. Find the mistakes below
4x2 - 5x - 3 0
a 4
b -5
c -3
-
5
(-5)
2
-
x
x
4
4
-3
X
x
2
4
-5

-25
48
X
6
-5
23
X
6
-5

23
-5
-
23
OR
X
X
6
6
-0.03 (2d.p.)
- 1.63 (2d.p.)
X
X
8
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DISCOVERY
PLT Skills
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Quadratic Formula
PLT Skills
PLENARY ACTIVITY 1 EXAM QUESTION (GRADE A)
Solve the equation
4x2 - 5x - 3 0
c -3
a 4
b -5
Give your answer correct to two decimal
places. You must show your working.
(-5)
2
-
x
-
-5
x
4
4
-3
X
x
2
4

5
25
48
X
8
5
73
X
8
5

73
5
-
73
OR
X
X
8
8
- 0.44 (2d.p.)
1.69 (2d.p.)
X
X
(3 marks)
10
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Quadratic Formula
PLT Skills
PLENARY ACTIVITY 2 DISCRIMINANT (GRADE A)
a 1
b 3
c 5
2
x
x
-
4
1

5
3
- 20
9

- 11

11
What have you learnt?
Draw your brain
In your brain, write or draw everything you can
remember about using the quadratic formula to
solve equations. It can be a skill or a
reflection, or something else that might be
prominent in your brain.
12
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SELF ASSESSMENT
Enterprise Skills
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Plenary Activity
How well do you understand the task?
.
I dont understand
I nearly understand
I fully understand
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SELF ASSESSMENT
Enterprise Skills
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Plenary Activity
WWW (What Went Well) EBI (Even Better If)
On your post it notes Think about how you can
improve your work.