Lesson Notes By Weeks and Term v4 - SHS 1

APPLICATIONS OF EXPRESSIONS, EQUATIONS AND INEQUALITIES

Download the Lessonotes Mobile Ghana app for faster lesson access on Android and iPhone.

Get it on Google Play

Get it on the Apple App Store

Subject: Mathematics

Class: SHS 1

Term: 1st Term

Week: 14

Grade code: 1.2.1.LI.2

Strand code: 2

Sub-strand code: 1

Content standard code: 1.2.1.CS.2

Indicator code: 1.2.1.LI.2

Theme: ALGEBRAIC REASONING

Subtheme: APPLICATIONS OF EXPRESSIONS, EQUATIONS AND INEQUALITIES

Lesson Video

This page supports the lesson note with a companion video and a short classroom-ready summary.

For class groups and homework, share this lesson page so learners also get the summary, objectives, and full lesson context.

Performance objectives

Define and explain linear equations and inequalities.
Solve linear equations and inequalities in one variable.
Graph the solution of a linear inequality on a number line.
Apply these concepts to solve real-life problems.

Lesson summary

This lesson introduces the foundational skills of solving linear equations and inequalities. These are not just abstract mathematical concepts; they are powerful tools we use every day to make decisions. For example, when you budget your pocket money to buy waakye and still have enough for trotro fare, you are using the principles of inequalities. When a mobile money vendor calculates their profit for the day, they are using equations. By mastering these skills, you will be able to model real-world problems mathematically and find logical solutions.

Lesson notes

Part A: Linear Equations in One Variable

What is an Equation? An equation is a mathematical statement that says two expressions are equal. Think of a pan balance. For the scale to be balanced, the weight on the left side must be equal to the weight on the right side. The equals sign (`=`) is the pivot of this balance. A variable (like `x`, `y`, or `m`) is a symbol that represents an unknown number. A linear equation in one variable is an equation that can be written in the form ax + b = c, where `x` is the variable, and `a`, `b`, and `c` are real numbers, with `a ≠ 0`. It has exactly one solution.

The Golden Rule of Solving Equations: *Whatever you do to one side of the equation, you must do the exact same thing to the other side to keep it balanced.*

Worked Examples (Step-by-Step):

Evaluation guide

Solve linear equations and inequalities in one variable for a given problem and relate it to
real life situations.
Group/ Collaborative Learning , initiating Talk for Learning , Problem -based Learning .
Using the think -pair-share activities, learners discuss and explain a linear equation in one