Finding The Limit Of A Function Algebraically Lesson Plan for 10th Grade Example Students

Topic: Finding the Limit of a Function Algebraically

Objectives & Outcomes

• Students will be able to find the limit of a function algebraically.

Materials

• graph paper or computer software for plotting functions
• calculator
• knowledge of basic algebraic operations

Warm-up

• Review the concept of a limit and the three cases in which it can occur (see "Introduction" section above).
• Ask students to provide examples of functions and the limits of those functions that they are familiar with.
• Ask students to give an example of a function for which they would have to find the limit algebraically and explain why.

Direct Instruction

• Review the definition of the limit of a function.
• Introduce the three methods for finding the limit of a function algebraically:
• 1) Using the Limit Laws:
• 2) Using the Squeeze Theorem:
• 3) Using u-substitution:
• Go over each method in detail, providing examples and showing how to use the corresponding equations and symbols to find the limit.

Guided Practice

• Provide students with a set of problems to solve using one of the three methods introduced in the direct instruction.
• Go over the solutions as a class, discussing how each method is used and how to interpret the results.
• Encourage students to ask questions as they work through the problems.

Independent Practice

• Provide students with a new set of problems to solve using the limit-finding methods introduced in the direct instruction.
• Encourage students to use all three methods and to justify their choice of method for each problem.
• Go over the solutions as a class, discussing how each method is used and how to interpret the results.

Closure

• Review the three methods for finding limits and give examples of how each is used.
• Ask students to share any challenges they encountered while practicing finding limits and how they were able to overcome them.

Assessment

• Collect the worksheets and evaluate them based on the student's ability to identify the limit and explain the process used to find it.Evaluation
• Use the closure activity as a formative assessment to assess students' understanding of the material covered in the lesson.
• Use the closure activity as a summative assessment to evaluate students' ability to apply their knowledge of finding limit to function algebraically and explain the process used to find the limit.