Lesson Notes By Weeks and Term v4 - SHS 1

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

• Identify the general form of a linear function.
• Draw and interpret the graph of a linear function.
• Determine if an equation represents a linear function.
• Apply knowledge of linear functions to real-life problems.

Lesson summary

This lesson introduces learners to linear functions, which are fundamental in mathematics and everyday life. We will explore how these functions create straight-line graphs and how we can understand the world around us by interpreting these lines. In Ghana, linear patterns can be seen everywhere, from calculating a taxi fare from Madina to Circle, to predicting how much mobile data is used over time, or understanding a simple business's profit. Mastering this topic provides a powerful tool for making predictions and informed decisions.

Lesson notes

Part 1: What is a Linear Function?

A linear function is an equation between two variables (usually `x` and `y`) that produces a straight line when plotted on a graph.

The key feature of a linear equation is that the highest power of its variables is 1. You will not see terms like `x²`, `y³`, `√x`, or `1/x` in a simple linear function.

Example (Linking to NaCCA Exemplar): Mrs. Avotris asks Ama to identify whether the equation `3x - 7y = 16` forms a linear graph without plotting its values.

Evaluation guide

• Draw graphs of linear functions and interpret them.
• Initiating Talk for Learning in a whole class discussion, review the form of a linear function as
• y=mx+c where m and c are constant (include the form ax+by+c=0).
• Experiential Learning : In small groups, learners use any of the available IT tools to research and