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Lesson Plan Math Class 8 | Algebraic Identities CH-7

 E- LESSON PLAN   SUBJECT MATHEMATICS    CLASS- 8

Lesson Plan for CBSE mathematics class 8 Algebraic Identities, 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-7 ALGEBRAIC IDENTITIES

NAME OF THE TEACHER

DINESH KUMAR

CLASS

VIII

CHAPTER

07

SUBJECT

MATHEMATICS

TOPIC

ALGEBRAIC IDENTITIES

 DURATION : 15 Class Meetings

PRE- REQUISITE KNOWLEDGE:-

Students should have prior knowledge of variables, expressions, and equations. They should be familiar with basic operations such as addition, subtraction, multiplication, and division.

Students should have a grasp of exponent notation and the concept of raising a number to a power. They should be familiar with the rules of exponents, such as multiplying and dividing exponents.

Students should have experience simplifying algebraic expressions by combining like terms and performing basic operations.

They should be able to factor simple expressions, such as finding common factors.

They should be comfortable with using arithmetic skills to evaluate expressions.

Note: It is important to assess students' readiness and understanding of these prerequisite concepts before proceeding with the lesson plan. If necessary, review or provide additional practice on these topics to ensure students are adequately prepared for the lesson on algebraic identities.

Material Required:

Whiteboard or blackboard, Markers or chalk, Worksheets with algebraic expressions, Graphing calculator (optional)

Learning Objectives:

· Understand the concept of algebraic identities.

· Apply algebraic identities to simplify expressions.

· Solve problems using algebraic identities.

The learning outcomes

· Students will understand the concept of algebraic identities.

· Students will be able to identify and recall common algebraic identities.

· Students will grasp the meaning and significance of algebraic identities.

· Students will be able to apply algebraic identities to simplify expressions.

· Students will demonstrate the ability to solve problems using algebraic identities.

· Students will practice critical thinking and problem-solving skills when working with algebraic identities.

· Students will communicate mathematical ideas effectively using appropriate mathematical language.

Overall, the lesson aims to provide students with a solid foundation in understanding and applying algebraic identities, promoting their mathematical skills, logical reasoning, and problem-solving abilities.

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, Algebraic Identities, Factorization

CONTENT OF THE TOPIC

In this topic we will discuss the detailed explanation of the following algebraic identities

    (a + b)2 = a2 + 2ab + b2

    (a - b)2 = a2 - 2ab + b2

    a2 - b2 = (a + b)(a - b)

    (x + a)(x + b) = x2 + (a + b)x + ab

    (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

LEARNING ACTIVITIES:

PROCEDURE OF THE LESSON PLAN

Introduction

Greet the students and introduce the topic of algebraic identities. Ask the students if they have heard about algebraic identities before and encourage them to share their prior knowledge.

Conceptual Understanding

Explain the definition of algebraic identities: statements that are true for all values of the variables involved.

Present some common algebraic identities, such as:

    (a + b)2 = a2 + 2ab + b2

    (a - b)2 = a2 - 2ab + b2

    a2 - b2 = (a + b)(a - b)

    (x + a)(x + b) = x2 + (a + b)x + ab

    (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

Discuss the meaning and significance of each identity, providing examples and asking the students to find patterns.

Encourage students to ask questions and participate in the discussion.

Application and Practice

Distribute worksheets with various algebraic expressions involving the identities discussed.

Instruct students to simplify the expressions using the appropriate algebraic identities.

Walk around the classroom, providing assistance and checking for understanding.

After students have completed the worksheets, review the solutions as a class, discussing different approaches and addressing any misconceptions.

Problem Solving

Present real-life problems that can be solved using algebraic identities.

Guide students in identifying the relevant identity and setting up the equations.

Allow students to work individually or in pairs to solve the problems.

Ask a few students to share their solutions with the class, discussing the process and reasoning behind their approaches.

Conclusion

Summarize the main concepts covered in the lesson.

Review the algebraic identities and their applications.

Address any remaining questions or concerns from the students.

Assign relevant exercises for homework to reinforce the understanding of algebraic identities.


Extensions:

For advanced students, introduce more complex algebraic identities and challenge them to apply them in problem-solving scenarios.

Integrate technology by using graphing calculators to demonstrate the application of algebraic identities in graphing and analyzing functions.

Assessment:

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

Review students' completed worksheets to assess their ability to apply algebraic identities.

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


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