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Which subject	Mathematics
What topic	Non-linear vs linear functions
What length (min)	30
What age group	Year or Grade 9
Class size	20
What curriculum
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Check previous homework
Ask some students to presents their homework
Add a physical break
Add group activities
Include homework
Show correct answers
Prepare slide templates
Number of slides	5
Create fill-in cards for students
Create creative backup tasks for unexpected moments

Lesson plan

Lesson Plan: Non-linear vs Linear Functions

Subject

Mathematics

Grade/Age Group

Grade 9

Topic

Non-linear vs Linear Functions

Length of Lesson

30 minutes

Number of Students

20

Objectives

• Understand the differences between linear and non-linear functions.
• Be able to identify and graph linear functions.
• Recognize and graph non-linear functions.
• Solve real-life problems involving both types of functions.

Materials

• Whiteboard and markers
• Graph paper
• Handouts with function definitions and examples
• Scientific calculators
• Projector (optional for showing graphs)

National Curriculum Alignment

This lesson adheres to the US national curriculum standards for high school mathematics, focusing on function analysis and graphing skills.

Lesson Structure

Step Number	Step Title	Length (minutes)	Details
1	Introduction to Functions	5	Briefly introduce functions and their significance in mathematics. Present what will be covered in the lesson: linear and non-linear functions.
2	Definition of Linear Functions	5	Provide a clear definition of linear functions. Discuss characteristics (constant rate of change, straight-line graph). Show visual examples on the whiteboard.
3	Definition of Non-linear Functions	5	Define non-linear functions with examples. Discuss characteristics (variable rate of change, curved graphs). Compare to linear functions.
4	Identifying Functions	5	Hand out function examples. Have students identify which are linear and which are non-linear. Discuss answers as a class.
5	Graphing Functions	5	Guide students in graphing one linear function and one non-linear function. Use graph paper. Discuss how the graphs represent the function types.
6	Real-life Applications	3	Present real-world scenarios where both types of functions apply. Encourage students to think of their own examples.
7	Homework Assignment	2	Explain the homework: students will complete a worksheet comparing linear and non-linear functions, including graphing. Collect worksheets for review without presentations.

Homework

• Complete the worksheet comparing and graphing linear and non-linear functions.
• Submit at the beginning of the next class for review. Feedback will be provided in written form rather than through presentations.

Assessment

• Informal assessment through participation during class discussion.
• Homework will be graded for understanding of concepts learned in the lesson.

Lesson script