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• Subject : Mathematics
• Year: 10

• Chapter:

22. More equations, Formulae and Functions.

• Key Learning Area:

Revision

STARTER: (2 minutes)

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Revision

• Walt:
• How do you solve past papers based on functions, equations and formulae?

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22. More equations, Formulae and Functions.

WILF:

Able to,

Recap:

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Subject appears once

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v = ¹πr²h

3

Subject appears once

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v = ¹πr²h

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v is the Subject

To make h the Subject

Multiply by 3

3v = πr ²h

3v _{= h}

πr ²

Subject to LEFT

^{Divide by} πr²

_{h =} 3v

πr ²

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Example:

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Example:

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Example:

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Example:

Example:

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Example:

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Step 2: 2x + 2 = 4

2x = 4-2=2

x=2/2=1

Definition:

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• A composite function is a function of a function.

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Step 1:Write out the function as y=…..

Step 2:swap the x and y

Step 3:Make y the subject

Step 4:Instead of y write 𝑓⁻¹(x)=

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So, 𝑔⁻¹(x)= ^5−𝑥

2

Y= 5-2x X= 5-2y

2y= 5-x

So, y=

5−𝑥

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Mini-Plenary: (3 minutes)

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2014/paper 2

1)

Mini-Plenary: (3 minutes)

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2014/paper 2

1)

Mini-Plenary: (3 minutes)

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2014/paper 2

1)

Mini-Plenary: (3 minutes)

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2014/paper 2

1)

Mini-Plenary: (3 minutes)

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2)

a) Find ff(2)

2019/paper 4

Mini-Plenary: (3 minutes)

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2)

a) Find ff(2)

2019/paper 4

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Task A*

Spatial fg(x)=-2x-7 verbal

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Task A*

Spatial fg(x)=-2x-7 verbal

Task A

Spatial f(-1)= 3

hh(2)=26

Verbal

f(-3)=7+6=13

Answers:

Task B

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Task A

Spatial f(-1)= 3

hh(2)=26

Verbal

f(-3)=7+6=13

Task A* Spatial fg(x)=-2x-7 verbal

Extended Task 1:

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2017/paper2

Extended Task 1:

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2017/paper2

Extended Task 2

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2017/paper 4

Extended Task 2

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2017/paper 4

Extended Task 2

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2017/paper 4

Extended Task 2

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2017/paper 4

Extended Task 2

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2017/paper 4

Extended Task 2

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2017/paper 4

Justify your answer. (2 min)

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Justify your answer. (2 min)

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f(x)= 2x+1 g(x)=3x-2 h(x)=𝟑^𝒙

Find hf(2) – fh(1)

Plenary: (5 minutes)

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1)

Plenary: (5 minutes)

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2)

Plenary: (5 minutes)

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2)

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3)

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g(1)= 5 2x+1=5

2x=4 X=4/2=2

3)

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HL

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HL