The document outlines a lesson plan for Term One 2025 focusing on composite functions, equations, inequalities, and linear programming activities. It includes learning objectives such as understanding function notation and evaluating functions, along with specific activities for practicing these concepts. Additionally, it covers a problem related to particle velocity to illustrate practical applications.

1. TERM ONE 2025
KAZIBA STEPHEN

2. TOPIC LIST
1. Composite functions
2. Equations and inequalities
3.Linear – programming

4. ACTIVITY
• Identify all the items in the picture
• Is there a relation that exists
between the items named from the
picture? What relation exists and
explain your response
• Which of the pictures show a
multiple change process? Give an
explanation of your choice
•

5. Multiple Change Process
Sugarcane Sugar Sweets
→ → Sugarcane Sugar Medicine
→ →

6. Kaziba stephen
COMPOSITE
FUNCTIONS

7. KEY WORDS

9. Learning Objectives
Understand and use function notation
Describe and understand a composite
function
By the end of the lesson you
should be able to
By the end of the lesson you
should be able to

10. f (x) is read as ‘f of x’ and
means the value of function f at
x.
Function Notation

11. ACTIVITY

12. ACTIVITY

13. ACTIVITY
Evaluate the function f (x) = 2x + 1 at x = 3.

14. ACTIVITY

15. ACTIVITY

16. ACTIVITY
The velocity of a particle is given by v (t) = - 9 m/s.
a) Find the initial velocity .
b) Find the velocity after 4 seconds.
c) Find the velocity after 10 seconds.
d) At what time does the particle come to rest?
The initial
velocity means
the velocity at
the start, when
t = 0.
The particle
comes to rest
when v = 0.

19. Thank You
F o r Y o u r A t t e n t i o
n