Lesson Notes By Weeks and Term v4 - SHS 2
PATTERNS AND RELATIONS
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PATTERNS AND RELATIONS
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Subject: Mathematics
Class: SHS 2
Term: 1st Term
Week: 18
Grade code: 2.2.2.LI.5
Strand code: 2
Sub-strand code: 2
Content standard code: 2.2.2.CS.1
Indicator code: 2.2.2.LI.5
Theme: ALGEBRAIC REASONING
Subtheme: PATTERNS AND RELATIONS
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This lesson introduces the concept of exponential growth, a powerful mathematical idea that describes how quantities can increase at an ever-accelerating rate. Unlike linear growth where we add the same amount in each step, exponential growth involves multiplying by a constant factor. This concept is incredibly relevant in our daily lives in Ghana, from understanding how our savings in a Mobile Money account can grow, to how the population of our towns increases, and even how information spreads on social media. By understanding this principle, we can make better predictions and informed decisions about our finances, community planning, and more.
Core Idea: What is Exponential Growth?
Imagine you have two choices for a reward: Choice A (Linear Growth): You receive GHS 100 on day 1, and GHS 100 is added every day for 5 days. Choice B (Exponential Growth): You receive GHS 5 on day 1, and the amount you have doubles every day for 5 days.
Let's see what happens:
| Day | Choice A (Add GHS 100) | Choice B (Multiply by 2) | | :-- | :--------------------- | :----------------------- | | 1 | GHS 100 | GHS 5 | | 2 | GHS 200 | GHS 10 | | 3 | GHS 300 | GHS 20 | | 4 | GHS 400 | GHS 40 | | 5 | GHS 500 | GHS 80 |