Lesson Notes By Weeks and Term v4 - SHS 1
APPLICATIONS OF EXPRESSIONS, EQUATIONS AND INEQUALITIES
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APPLICATIONS OF EXPRESSIONS, EQUATIONS AND INEQUALITIES
Download the Lessonotes Mobile Ghana app for faster lesson access on Android and iPhone.
Subject: Mathematics
Class: SHS 1
Term: 1st Term
Week: 10
Grade code: 1.2.1.LI.2
Strand code: 2
Sub-strand code: 1
Content standard code: 1.2.1.CS.1
Indicator code: 1.2.1.LI.2
Theme: ALGEBRAIC REASONING
Subtheme: APPLICATIONS OF EXPRESSIONS, EQUATIONS AND INEQUALITIES
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In Ghana, we are always building, farming, and trading. Imagine a farmer in the Ashanti Region who knows the total area of their rectangular cocoa farm but needs to find the possible length and width for fencing. Or a small business owner in Accra trying to figure out their break-even points for selling plantain chips. The mathematical tool they need is factorisation. Factorisation is like breaking down a complex problem into its simpler, fundamental parts. Today, we will learn how to "break down" algebraic expressions, specifically quadratic trinomials, to solve such real-world problems.
Concept 1: What is Factorisation? (The Reverse of Expansion)
Think of multiplication: `5 × 4 = 20`. The numbers `5` and `4` are factors of `20`. In algebra, we do the same. When we expand `(x + 2)(x + 3)`, we get `x² + 5x + 6`. So, `(x + 2)` and `(x + 3)` are the factors of `x² + 5x + 6`.
Factorisation is the process of finding the factors of an expression. It's like being given the answer (`x² + 5x + 6`) and being asked to find the original multiplication question (`(x + 2)(x + 3)`).
Concept 2: Factorising Quadratic Trinomials of the form `x² + bx + c`