Lesson Notes By Weeks and Term v4 - JHS 1

Lesson Video

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Performance objectives

• Identify and define variables.
• Model linear equations using concrete materials.
• Solve simple linear equations.
• Apply your understanding to real-life situations.

Lesson summary

Today, we are starting a journey into one of the most powerful parts of Mathematics called Algebra. It might sound difficult, but it's actually like being a detective. We use clues to find a missing or unknown number. In our daily lives in Ghana, we often face situations with unknowns. For example, your mother gives you GH₵10 to buy some onions and tomatoes. If the onions cost GH₵4, you have to figure out the unknown amount you can spend on tomatoes. Algebra gives us the tools to solve such real-life puzzles easily and confidently. We will start by using real objects like cups and stones to make these puzzles visible and easy to solve.

Lesson notes

This topic introduces us to three main ideas: Variables, Constants, and Equations. Let's think of it like cooking waakye.

a) The Constant: A constant is a value that we know and does not change. In our waakye, if you buy 5 balls of kenkey, the number '5' is a constant. It's fixed. In Algebra: A constant is just a plain number. Examples: 2, 10, 50. Our Concrete Material: We will use stones or bottle caps to represent constants. 5 stones mean the number 5.

b) The Variable: A variable is a value that we do not know. It is a mystery number we need to find. Imagine your mother gives you a small, closed box with some money inside for your lunch. You don't know how much is in it until you open it. The amount in the box is the variable. In Algebra: We use letters like `x`, `y`, `a`, or `b` to represent this unknown value. Our Concrete Material: We will use an opaque cup or a small box to represent the variable. We don't know how many stones are "inside" it.

c) The Equation and The "Equals" Sign (=): An equation is a mathematical sentence that says two things are equal or perfectly balanced. The most important part is the equals sign (=). Think of a seesaw or a balance scale at the market. For it to be straight and fair, the weight on the left side must be exactly the same as the weight on the right side. The Golden Rule of Equations: To keep the scale balanced, whatever you do to one side of the equals sign, you MUST do the same thing to the other side. If you add 2 stones to the left, you must add 2 stones to the right. If you remove 3 stones from the left, you must remove 3 stones from the right.