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Which subject	Mathematics
What topic	Calculus
What length (min)	30
What age group	Doesn't matter
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
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Create creative backup tasks for unexpected moments

Lesson plan

Topic

Calculus

Objectives

• Introduce the concept of limits and continuity.
• Develop an understanding of how limits are used in calculus.
• Provide examples of how to calculate limits numerically and graphically.
• Encourage problem-solving and analytical thinking.

Materials

• Whiteboard and markers
• Graphing calculators (20)
• Limit worksheets (handouts)
• Projector and computer for presentations
• Access to online calculus resources (optional)

Grade/Age Group

Secondary School (Typically ages 15-18)

Subject

Mathematics

Lesson Length

30 minutes

Class Size

20 students

National Curriculum Alignment

This lesson aligns with the Irish Junior Cert Mathematics curriculum which includes the study of calculus concepts, particularly limits and their applications.

Lesson Structure

Step Number	Step Title	Length	Details
1	Introduction to Limits	5 mins	Briefly explain what limits are and why they are fundamental in calculus. Use an example for clarity.
2	Exploring Continuity	5 mins	Discuss the concept of continuity and its relationship with limits. Introduce a simple function and analyze its continuity.
3	Calculating Limits	10 mins	Demonstrate how to calculate limits both numerically and graphically. Use a specific function as an example and solve it step-by-step.
4	Student Practice	5 mins	Distribute limit worksheets and allow students to work independently or in pairs to solve a few problems.
5	Review Homework	3 mins	Go over the homework from the previous lesson without student presentations. Provide solutions verbally and encourage questions for clarification.
6	Conclusion and Q&A	2 mins	Summarize key takeaways from the lesson. Open the floor for any final questions or clarifications.

Homework

• Assign a worksheet with various limit problems for students to complete at home.
• Encourage students to use online resources for additional practice.
• Remind them that the homework will be checked, and solutions will be reviewed in the next class without any student presentations.

Lesson script