Lesson start ideas	Give a creative idea how to begin a lesson
Which subject	Mathematics
What age group	Year or Grade 7
What topic	Linear relarionships
Quantity	1
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Objective:

At the end of this lesson, you will be able to understand and solve linear relationships with ease.

Warm-up Activity: "Maths Mania"

Let's start with a fun activity! Grab your phones and let's play 'Maths Mania'.

• Open your calculator app.
• You will get 30 seconds to do as many calculations as possible.
• The one with the most correct answers will be the winner!

Introduction: "Let's Explore Linear Relationships"

Today, we're going to delve into the world of linear relationships. To put it simply, a linear relationship is a straight line relationship between two variables.

We see many of these types of relationships in our daily lives without even realizing it -- like distance vs time, or money earned based on hours worked.

As you move ahead in maths, you will encounter these types of equations more frequently. So, it's important to have a solid understanding of what they are and how to solve them.

Group Activity: "Graph The Line"

Now, it's time for group activity! We will be working on a simple group task on 'Graph The Line'.

• Choose a partner or a group of three.
• You will get a graph paper and pencil.
• Randomly select any 10 points on your graph paper.
• Use your graphing skills to connect those points and make a line.
• We'll then compare your work with that of other groups to identify the common mistakes and where you can do better.

Main Lesson: "Parsing Linear Relationships"

Let's start with the basics. A linear relationship can be represented with the below formula:

y = mx + c

• y = dependent variable. It's the one which changes
• x = independent variable. It's the one which stays constant
• m = slope. It tells us how steep the line is.
• c = y-intercept. It tells us where the line crosses the y-axis

Examples: "Linear Relationships In Real-life"

Let's explore some real-life examples of linear relationships!

• Velocity = Distance/Time
• Salary = Hours Worked* Pay per Hour
• Interest on Savings = Principal* Interest Rate/100

Summary: "Wrapping Up"

We've covered a lot about linear relationships in today's lesson. Let's recap the key takeaways.

• Linear relationships represent straight-line relationships between two variables.
• They can be represented as y = mx + c.
• Slope tells us how steep the line is and 'c' tells us where the line crosses the y-axis.

I hope you have learnt something new today, see you in the next lesson!