### Common Errors in Secondary Mathematics

Common Errors Committed  by the  Students  in Secondary Mathematics   Errors  that students often make in doing secondary mathematics  during their practice and during the examinations  and their remedial measures are well explained here stp by step.  Some Common Errors in Mathematics

### Lesson Plan Math Class 8 (Ch-1) | Square & Square Roots

E- LESSON PLAN   SUBJECT MATHEMATICS    CLASS- 8

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

## E-LESSON PLAN MATHEMATICSCLASS-VIIICHAPTER-1 SQUARE & SQUARE ROOTS

 RMB DAV CENTENARY PUBLIC SCHOOL NAWANSHAHR NAME OF THE TEACHER DINESH KUMAR CLASS VIII CHAPTER 01 SUBJECT MATHEMATICS TOPIC SQUARE & SQUARE ROOTS DURATION : 15 Class Meetings

PRE- REQUISITE KNOWLEDGE:-
• General Tables from 2 to 20
Materials:

Whiteboard and markers, Calculator Worksheets with problems related to squares and square roots. Real-life examples related to squares and square roots

Learning Objective:
• To introduce the concept of square and square root to students.
• To teach students how to calculate the square and square root of a number.
• To help students understand the practical applications of squares and square roots.
LEARNING OUTCOMES:

After studying this lesson students should know the
• Method of finding the Pythagorean Triplet.
• Repeated subtraction method of finding the square.
• Prime factorization method of finding the square root.
• Long division method of finding the square root.
• Method of estimation for finding the square root of a number.
RESOURCES
NCERT Text Book,
A Text Book of DAV Board

Resource Material :
Worksheets, Assignment , E-content, Basics and formulas from (cbsemathematics.com)

KEY WORDS:
Square, Square root, Pythagorean Triplet, Repeated Subtraction, Factorization, Long Division

CONTENT OF THE TOPIC
Concepts and important facts related to the square and square root.
• Pythagorean Triplet.
• Repeated subtraction method of finding the square root of a perfect square number.
• Factorization method of finding the square root of a number.
• Long Division Method of finding the square root of a number.
• Method of estimation of finding the square of a number.

PROCEDURE & EXPLANATION
Introduction

Begin the lesson by asking students what they know about squares and square roots.

Write down their responses on the board and clarify any misconceptions.

Explain that squares and square roots are important mathematical concepts that are used in many fields of science and engineering.

Understanding Squares

Define what a square is: "A square is a number that is obtained by multiplying a number by itself."

Give examples of squares, such as 12 = 1, 22 = 4, 32 = 9, and 42 = 16
Explain that squares have many practical applications, such as in measuring area and calculating distances.

Calculating Squares

Show students how to calculate the square of a number, using examples on the board and a calculator.

Have students solve problems related to calculating squares, using worksheets or problems on the board.

Understanding Square Roots

Define what a square root is: "A square root is the inverse operation of squaring. It is the number that, when multiplied by itself, gives the original number."

Give examples of square roots, such as √1 = 1, √4 = 2, √9 = 3, and √16 = 4.

Explain that square roots also have many practical applications, such as in calculating side lengths of squares and finding distances.

Arrange the students either in groups or individuals and plan an activity of writing the squares of natural numbers from 1 to 30. Also help students to find the square of other important numbers like 35, 40, 45, 50, 55 ….. etc.

Teacher may also suggest some shortcut ways of finding square of such numbers

Calculating Square Roots

Show students how to calculate the square root of a number, using examples on the board and a calculator.

Have students solve problems related to calculating square roots, using worksheets or problems on the board.

Help the students to find the square root by using different methods like

• Repeated subtraction method of finding the square root of a number.
• Factorization method of finding the square root of a number.
• Long division method of finding the square root of a number.
• Method of estimation of finding the square root of a number.

## Application of Squares and Square Roots

Give real-life examples of how squares and square roots are used in everyday life, such as in measuring the size of a room or calculating the distance between two cities.

Have students work in groups to come up with their own examples of how squares and square roots are used in practical situations.

## MIND MAP / CONCEPT MAP

SKILLS ENHANCED

Observation  skill,  analytical skill,  critical & creative thinking, team work, constructive approach, interpersonal skill,  engagement  in learning process etc.

## Conclusion

Summarize the main points of the lesson and ask students if they have any questions.

Provide feedback to students and assess their understanding of the concepts of squares and square roots.

## Assessment:

Assess students' understanding of squares and square roots by assigning problems related to calculating squares and square roots.

Evaluate students' ability to apply the concept of squares and square roots in real-life situations by having them come up with examples on their own.