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: 13
Grade code: 1.2.1.LI.4
Strand code: 2
Sub-strand code: 1
Content standard code: 1.2.1.CS.1
Indicator code: 1.2.1.LI.4
Theme: ALGEBRAIC REASONING
Subtheme: APPLICATIONS OF EXPRESSIONS, EQUATIONS AND INEQUALITIES
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This lesson introduces the essential skills for working with algebraic fractions. Just like we use fractions in our daily lives to share items (e.g., half a loaf of bread) or calculate rates (e.g., price per kilo of gari), algebraic fractions help us model relationships where quantities are unknown. Understanding how to add, subtract, multiply, and divide these fractions is fundamental for higher-level mathematics, science, engineering, and even business. For instance, an entrepreneur in Accra might use these ideas to calculate the average cost of producing an item, which depends on the number of items produced (a variable).
Concept 1: What is an Algebraic Fraction?
An algebraic fraction is a fraction where the numerator and/or the denominator are algebraic expressions. Numerator: The expression on top of the fraction bar. Denominator: The expression at the bottom of the fraction bar.
Examples: `2/x`, `(x + 5) / (x - 1)`, `(y² + 2y) / (3y)`
The denominators can be: Monomial: An expression with a single term. Examples: `x`, `3y`, `5a²` Binomial: An expression with two terms. Examples: `x + 4`, `2y - 1`, `a² - 9` Concept 2: Conditions for an Algebraic Fraction to be Undefined or Zero