APPLICATIONS OF EXPRESSIONS, EQUATIONS AND INEQUALITIES
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Subject: Mathematics
Class: SHS 1
Term: 1st Term
Week: 9
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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This lesson introduces the fundamental building blocks of algebra and demonstrates their practical use. We live in a world of patterns and relationships, from calculating profits at the market to determining the amount of seed needed for a farm. Algebra gives us a powerful language to describe and solve these real-world problems. We will begin by translating everyday situations into mathematical expressions, learn how to simplify them, and then build up to a key skill: factorising quadratic trinomials. This skill is crucial for solving more complex problems in mathematics and science later on.
This lesson is structured in four parts, moving from simple ideas to the main goal of factorisation. Part A: Translating Words into Algebraic Expressions
In algebra, we use letters (like *x*, *y*, *a*) to represent unknown or changing quantities. These are called variables. An algebraic expression is a combination of variables, numbers, and operation signs (+, -, ×, ÷).
Key Idea: We are translating our everyday language (English, Twi, Ga, etc.) into the language of mathematics.
Examples: Verbal Statement: "Kofi is *x* years old. His sister, Ama, is 5 years older." Mathematical Expression for Ama's age: `x + 5` Verbal Statement: "A bag of rice costs *GHS c*. What is the cost of 4 bags?" Mathematical Expression for the cost: `4 × c` or simply `4c` Verbal Statement: "There are 30 students in a class. *y* students are absent today. How many are present?" Mathematical Expression for students present: `30 - y` Part B: Simplifying Expressions (Operations)