Demystifying Mathematics: Exploring the Key Components of this Universal Language"

                          Introduction:

Highlight the ubiquity of mathematics in various aspects of life and its role as a universal language.

Explain the purpose of the blog post – to provide clear definitions and explanations of essential mathematical components.

Arithmetic:

Define arithmetic as the basic branch of mathematics dealing with operations like addition, subtraction, multiplication, and division.

Provide real-life examples of arithmetic applications.

Algebra:

Introduce algebra as the study of symbols and the rules for manipulating these symbols to solve equations and represent relationships.

Explain the importance of algebra in problem-solving and higher-level mathematics.

Geometry:

Define geometry as the branch of mathematics dealing with the properties and relationships of points, lines, angles, shapes, and space.

Explore different types of geometrical figures and their characteristics.

Trigonometry:

Explain trigonometry as the study of the relationships between the angles and sides of triangles.

Discuss the significance of trigonometry in fields like engineering, physics, and navigation.

Calculus:

Introduce calculus as the study of change and motion, dealing with derivatives and integrals.

Showcase the practical applications of calculus in areas such as physics, economics, and engineering.

Statistics:

Define statistics as the branch of mathematics focused on data collection, analysis, interpretation, and presentation.

Explore various statistical concepts, including measures of central tendency and dispersion.

Probability:

Explain probability as the study of uncertainty and the likelihood of events occurring.

Illustrate the use of probability in predicting outcomes and making informed decisions.

Number Theory:

Define number theory as the study of the properties and relationships of integers and whole numbers.

Highlight the importance of number theory in cryptography and computer science.

Mathematical Logic:

Introduce mathematical logic as the study of formal reasoning and logical structures.

Explain its relevance in computer science, philosophy, and mathematics itself.

Applied Mathematics:

Define applied mathematics as the application of mathematical principles to real-world problems.

Showcase examples from various fields where applied mathematics plays a crucial role.

Conclusion:

Recap the significance of understanding the various components of mathematics.

Encourage readers to explore each branch further and appreciate the beauty and usefulness of mathematics in diverse domains

Lesson plan of ch5 Euclid's geometry of class 9th ncert book

                                          Lesson plan

Date  :-                  Lesson plan no.:-             Sub:-maths               Class: 9th     

Topic:-  Introduction to Euclid's Geometry   

Overview :- 5periods +1 period

Pre requisite knowledge :- knowledge of simple geometric terms like line,line segment , circle , radius and angle etc.

Teaching Aids:- Green Board, chalk, duster , charts ,smart board projecter etc .

Method :- Deductive  and lecture method.

Educational objectives :- after studying this students will be able to understand the term geometry and it's origin like

•Euclid's axioms and postulates.

• Difference between axiom and postulates.

• Differentiate Axioms and postulates and it's application in various geometrical concepts.

Engage:- Teacher will engage the students by asking the following questions:

• What is Geometry?

•Who is the father of Geometry ?

• Name the place where development of Geometry in india is done.

Explore/Explain :- Now after announcement of topic teacher will explain it like:

•Teacher will ask the class about the meaning of the word geometry. After getting the different answer from the class, Teacher himself explain it's meaning.

•Intro about Euclid's Geometry that means the word geometry comes from two word 'geo' meaning the 'earth' and metrein meaning the 'the measure' .

•Now teacher will introduce some basic definition to the students. After that they will able to discussion about Euclid's axiom and postulates.

Elaborate:- students extend their learning by studying basic concept about Some universal truths.

Final recapitulation:- Teacher will recall the main and important point at the end of lesson.

Evaluation :- At the end of the lesson a class test will be taken. Worksheets and assignment should be given to the students.

Sign of Teacher_____________                    sign of HOD_________

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CBSE sample paper of maths standard and basic class 10th (22-23) with solution

 Here we are providing some sample paper of maths of class 10th (standard and basic both) for practice according to new syllabus of 22-2023 of CBSE board 

STANDARD MATHS : 

Click below👇 for download sample paper

Sample paper set 1 with solution 

Set 2

Set-3 

Set -4

Set 5

Set 6

Set 7

Set 8

Set 9

Set 10

Set 11

Set 12

Set 13

Set 14

Set 15

Set 16

Set 17

Set 18

Set 19

Set 20

Set 21

Set 22

Set 23

Set 24

Set 25

Set 26

Set 27

BASIC MATHS : 

Sample paper set -1

Set 2

Set 3

Set 4

Set 5

Set 6

Set 7

Set 8 

Set 9 

Set 10

Set 11

Set 12

Set 13

Set 14

Set 15

Set 16

Set 17

Set 18

Set 19

Set 20

Set 21

Set 22

Set 23

Set 24

Set 25

Set 26

Set 27

INEQUATIONS FORMULAE OF MATHS

 Inequation formulae of maths🔀⬇️

Lesson plan of class 10 maths chapter4( Quadratic equations ) of NCERT maths

                        LESSON PLAN

Class:- 10th.               lesson plan:-____.  Date:-   

Topic:- Quadratic equations         Overview:- 10 periods+2periods

Teaching Aids:-Green board, Chalk, Duster,Charts.

Pre requisite knowledge:- 

•Basic  knowledge of polynomials.

• Basic knowledge of linear equations in one variable.

Objectives:- 

•Introduction of quadratic equations.

•Solution of a quadratic equation by factorisation .

•Solution of a quadratic equation by completing the square and quadratic formula (Discriminant method).

•Nature of roots.

Engage:- Start the lecture by checking their previous knowledge like:-

1. What is polynomial ?

2. What are the variables and constant?

3. Name different type of polynomials ?

Explanation:-

•Teacher will write the general equation of quadratic polynomial and explain it's all components.

•Teacher explain the all method which are used to find the roots of quadratic equations:

1. Factorisation method

2. Completing square method

3. Discriminant method(quadratic formula)

• Teacher will also explain the nature of root by using quadratic formula.

Expected outcomes:- 

•Students will be able to know all important concepts  related to quadratic equation.

Students should know the use of factorisation method, completing square method and discriminant method.

Explore:- 

• students will review questions given by the teacher.

Students will solve NCERT problems with examples and assignments given by teacher.

Final recapitulation:- 

Teacher will recall the main important points at the end of the class.

Evaluation:- 

•Separate worksheets will be provided by teacher which includes logical thinking and HOTS questions to above average students.

•Written test will be conducted by teacher.

Sign of teacher               sign of HOD 

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Trigonometric equations formulae of mathematics

 Trigonometric equations

Exponential and logarithm equations formulae of mathematics

EXPONENTIAL EQUATIONS 

    LOGARITHMIC EQUATIONS