Lesson Plan Math Class 8 | Exponents & Radicals CH-3

 E- LESSON PLAN   SUBJECT MATHEMATICS    CLASS- 8

Lesson Plan for CBSE mathematics class 8 Exponents & Radicals, Step by step teaching strategy for mathematics teachers. Perfect lesson plan which makes the teaching learning process perfect

E-LESSON PLAN MATHEMATICS
CLASS-VIII
CHAPTER-3 EXPONENTS & REDICALS

NAME OF THE TEACHER				DINESH KUMAR
CLASS	VIII	CHAPTER	03	SUBJECT	MATHEMATICS
TOPIC	EXPONENTS & RADICALS			DURATION : 8 Class Meetings

PRE- REQUISITE KNOWLEDGE:-

For batter understanding of this topic students should the following skills

Basic arithmetic operations:

Familiarity with square numbers:

Understanding of square roots:

Basic algebraic skills:

Materials:

Whiteboard or chalkboard, Markers or chalk, Worksheets or handouts, Calculators (optional)

Learning objective:

Understand the concept of exponents and radicals.

Apply the rules of exponents and radicals to solve problems.

Simplify expressions involving exponents and radicals.

Learning outcomes

Students will comprehend that exponents represent repeated multiplication and radicals represent the inverse operation of exponents.

They will be able to identify the base, exponent, index, and radicand in expressions involving exponents and radicals.

Students will be able to use the product rule (a^m × aⁿ = a^{(m + n)}) and the quotient rule (a^m ÷ aⁿ = a^{(m - n)}) to simplify expressions involving exponents.

They will understand the power rule ((a^m)ⁿ = a^{(m × n)}) and apply it to calculate values.

They will practice simplifying radicals with different indices, such as square roots (√), cube roots (∛), and fourth roots (∜).

Students will be able to solve problems and apply the concepts of exponents and radicals to real-world situations.

Students will perform calculations involving exponents and radicals accurately and efficiently.

Students will explain their thought process and reasoning when simplifying expressions with exponents and radicals.

By achieving these learning outcomes, students will have a solid foundation in the fundamental concepts of exponents and radicals, enabling them to progress to more advanced topics in algebra and higher mathematics.

RESOURCES

NCERT Text Book,
A Text Book of DAV Board
Resource Material : Worksheets , E-content, Basics and formulas from (cbsemathematics.com)

KEY WORDS:

Algebraic Expressions, Exponents, Radicals, 

CONTENT OF THE TOPIC

In this topic we will discuss the detailed explanation of the following Rules of Exponents and Radicals

a) Product Rule: a^m × aⁿ = a^{(m + n)}

b) Quotient Rule: a^m ÷ aⁿ = a^{(m - n)}

c) Power Rule: (a^m)ⁿ = a^{(m × n)}

PROCEDURE

Begin the class by reviewing the concepts of multiplication and division. Ask students to recall the properties of exponents, such as the product rule and the quotient rule.

Write a few simple multiplication and division problems on the board and ask students to solve them.

Introduction to Exponents

Explain the concept of exponents, emphasizing that they represent repeated multiplication.

Write the following examples on the board:

a) 3² = 3 × 3 = 9

b) 4³ = 4 × 4 × 4 = 64

c) 2⁴ = 2 × 2 × 2 × 2 = 16

Discuss the base, exponent, and the value of each expression.

Highlight the pattern and general rule for multiplying the base by itself for a given number of times.

Rules of Exponents

Introduce the rules of exponents:

a) Product Rule: a^m × aⁿ = a^{(m + n)}

b) Quotient Rule: a^m ÷ aⁿ = a^{(m - n)}

c) Power Rule: (a^m)ⁿ = a^{(m × n)}

Discuss each rule with examples and encourage students to simplify the expressions.

Write additional examples on the board and solve them as a class.

Introduction to Radicals

Define the concept of radicals as the inverse of exponents.

Explain that a radical is a way to represent the square root (√) or higher roots of a number.

Write the following examples on the board: a) √9 = 3 b) ∛27 = 3 c) ∜16 = 2

Discuss the index, radicand, and the value of each expression.

Simplifying Radicals

Introduce the concept of simplifying radicals.

Explain the process of finding perfect squares and perfect cubes in the radicand.

Demonstrate how to simplify radicals step-by-step:

a) Identify perfect squares or perfect cubes in the radicand.

b) Rewrite the radical as the product of the simplified radical and any remaining terms.

Provide examples on the board and solve them as a class.

Practice Exercises
Distribute worksheets or handouts with practice problems involving exponents and radicals.

Allow students to work individually or in pairs.

Circulate the classroom to provide assistance and clarify any doubts.

Encourage students to simplify their answers whenever possible.

Conclusion and Review

Summarize the key concepts covered in the lesson, including the rules of exponents and the simplification of radicals.

Address any questions or concerns from students.

Assign additional practice problems for homework if necessary.

Note: The duration of each activity may vary depending on the class's pace and the level of prior knowledge. Feel free to adjust the timings and content as

Assessment:

Observe students' participation and engagement during class discussions and activities.

Review students' completed worksheets to assess their ability to apply rule of Exponents and Radicals

Evaluate students' problem-solving skills through their responses to real-life problems.

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