Lesson Notes By Weeks and Term v4 - SHS 1
APPLICATIONS OF ALGEBRA
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APPLICATIONS OF ALGEBRA
Download the Lessonotes Mobile Ghana app for faster lesson access on Android and iPhone.
Subject: Additional Mathematics
Class: SHS 1
Term: 1st Term
Week: 9
Grade code: 1.1.2.LI.3
Strand code: 1
Sub-strand code: 2
Content standard code: 1.1.2.CS.1
Indicator code: 1.1.2.LI.3
Theme: MODELLING WITH ALGEBRA
Subtheme: APPLICATIONS OF ALGEBRA
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This lesson introduces two fundamental concepts in mathematics: relations and functions. We encounter relationships every day. For example, the relationship between a student and their exam score, a mobile money number and the account holder, or the price of kenkey and the size of the ball. In mathematics, we use algebra to describe these relationships precisely. Understanding the difference between a general relation and a special, predictable type of relation called a function is the foundation for almost all higher-level mathematics, from calculus to computer programming. It helps us model the world around us in a predictable way.
What is a Relation?
In everyday language, a "relation" describes how two or more things are connected. For example, "Kofi *is the brother of* Ama" describes a family relation. In mathematics, a relation is a way of showing a connection between two sets of numbers or objects.
Formally, a relation is any set of ordered pairs `(x, y)`. The first set of elements (`x` values) is called the domain, and the second set of elements (`y` values) that are actually used is called the range.
Example 1: A Relation of Items and Prices Let's say a small shop sells the following items. Set A (Items): {Kalypo, Meat Pie, Bofrot} Set B (Prices in GH₵): {1.50, 2.00, 3.00}