Mathematics for Class 10 Students

BY
Udemy

Develop a thorough comprehension of both basic and advanced mathematics concepts at the high school level.

Mode

Online

Fees

₹ 1199

Quick Facts

particular details
Medium of instructions English
Mode of learning Self study
Mode of Delivery Video and Text Based

Course overview

The Mathematics for High School Students certification course was created by Extreme Learners, an online educational platform that offers courses in subjects such as mathematics, and is offered by Udemy, which is intended for high school students who want to gain expertise in the principles and concepts of mathematics. Mathematics for High School Students online classes also provide a framework to help students prepare for competitive mathematics paper exams.

Mathematics for High School Students online training is a collection of topics developed by professionals who are passionate about studying, using, and teaching mathematical concepts, beginning with a fundamental foundation for advanced fields such as linear programming and mathematical modeling. This is a self-paced program with over 36.5 hours of lecture resources and two articles that go over topics like algebra, trigonometry, probability, arithmetic, geometry, and statistics in-depth to help students understand the concepts and encourage them to apply what they've learned in real-world situations.

The highlights

  • Certificate of completion
  • Self-paced course
  • 36.5 hours of pre-recorded video content
  • 2 articles
  • Learning resources

Program offerings

  • Online course
  • Learning resources. 30-day money-back guarantee
  • Unlimited access
  • Accessible on mobile devices and tv

Course and certificate fees

Fees information
₹ 1,199
certificate availability

Yes

certificate providing authority

Udemy

What you will learn

Mathematical skill

After completing the Mathematics for High School Students online certification, learners will have a thorough understanding of mathematics' fundamental principles and approaches. Learners will study the theories related to concepts like arithmetic, statistics, probability, trigonometry, geometry, and algebra. Learners will gain a thorough understanding of how to solve linear equations, quadratic equations, polynomials, arithmetic progression, coordinate geometry, and construction problems. Learners will also gain knowledge on how to solve problems with circles, triangles, surface area, and volume.

The syllabus

Real Numbers

  • Rational and Irrational Numbers
  • HCF and Some Terminologies
  • Euclid's Division Lemma and Algorithm
  • Some Application Questions on Euclid's Division Lemma
  • Some Patterns through Euclid's Division Lemma
  • Fundamental Theorem of Arithmetic
  • Some Application Questions on Fumdamental Theorem of Arithmetic
  • Irrational Numbers and Some Proves
  • Terminating and Non-terminating Decimal Expansions

Polynomials

  • Degree and Zeroes of Polynomials
  • Geometric Meaning of Zeroes of Non-linear Polynomial
  • Relationship between roots and coefficients in a quadratic polynomial
  • Relationship between roots and coefficients in cubic polynomial
  • Some exercises on relationship between zeroes and coefficients
  • Division algorithm for Polynomials
  • Some questions on divisions of Polynomials

Linear Equations in Two Variables

  • Linear Equation and Straight Line
  • Pair of Linear Equations and Straight Lines (Parallel or Intersecting)
  • Solving Using Method of Substitution
  • Solving Using Method of Elimination
  • Solving Pair of Linear Equations - General
  • Cross Multiplication and Some Special Conditions
  • Solving Simultaneous Equations - Algebraically and Graphically
  • Formulating and Solving Pair of Linear Equations
  • Application Problems Covertible to Pair of Linear Equations

Quadratic Equations

  • Solutions, Roots, Zeroes etc.
  • Solving Qadratic Equations by Factorization
  • Solving Quadratic Equations by Completing Square
  • Roots Formula and Types of Roots
  • Applications Problems on Quadratic Equations
  • Application of Quadratic Equations in Area and Perimeter

Arithmetic Progression

  • Understanding Arithmetic Progression
  • General Term of Arithmetic Progression
  • Sum of n Terms of AP
  • Arithmetic Progression Application Example -- Running
  • Arithmetic Progression Application -- Fare

Triangles

  • Congruence and Similarity
  • Theorems on Line Intersecting Two Sides
  • Few Deductions from Side Intersection Theorems
  • More Applications of Side Intersection Theorems
  • Similarity of Triangles
  • Few Application Problems on Similar Triangles
  • Areas of Similar Triangles
  • Pythagoras Theorem
  • Some Applications of Pythagoras Theorem
  • More Applications of Pythagoras Theorem

Coordinate Geometry

  • Coordinate Geometry -- Axis, Coordinates, points etc.
  • Distance between Two Points
  • Section Formula
  • Application Problems on Distance and Section
  • Point Divides Line Segment
  • Area of a Triangle (Vertices known)
  • Application Problems on Area etc.

Introduction to Trigonometry

  • Trigonometric Ratios of Acute Angles
  • Finding Trigonometric Ratios from One Knnown Ratio
  • Equality of Trigonometric Ratio Means Equality of Angles
  • Trigonometric Ratios of Some Specific Angles
  • Few Numerical Questions on Trigonometric Ratios
  • Trigonometric Ratios of Complementary Angles
  • Trigonometric Identities
  • Expressing All Trigonometric Ratios in Terms of One Ratio
  • Few Questions on Trigonometric Identities
  • Miscellaneous Numerical Questions

Some Applications of Trigonometry

  • Height and Distance
  • Some Application Questions
  • More Application Questions

Circles

  • Tangents to a Circle
  • Theorems on Tangents to a Circle
  • Some Questions on Tangents, Angles and Length
  • More Questions on Tangents, Chord and Angle
  • Some Questions on Sides and Angles

Construction

  • Dividing a Line in Given Ratio
  • Constructing Similar Triangle
  • Drawing Tangent to a Circle
  • Some Exercises on Drawing Tangent

Areas Related to Circles

  • Perimeter and Area of a Circle
  • Area of Sector and Segment of a Circle
  • Some Applications Related to Area
  • More Applications Related to Area of Circle
  • Area of Combination of Plane Figures
  • More Questions on Area of Combination of Figures

Surface Areas and Volumes

  • Surface Area and Volume of Cone, Cylinder, Cuboid and Sphere
  • Surface Area of Combination of Solids
  • Few Exercises on Surface Area
  • Volume of Combination of Solids
  • Conversion of Solid from One Shape to Other
  • Application Questions on Conversion of Solids
  • Frustum of a Cone
  • Application Questions on Frustum of Cone
  • Some More Questions on Frustum of Cone
  • Miscellaneous Questions on Surface Area and Volume

Statistics

  • Ungrouped and Grouped Data
  • Mean of Grouped Data
  • Assumed Mean Method and Step-deviation Method for Mean in Grouped Data
  • Few Questions on Mean of Grouped Data
  • Mode of Grouped Data
  • Mode and Mean of Grouped Data - An Example
  • Cumulative Frequency and Median
  • Median of Grouped Data
  • Few Questions on Median of Grouped Data
  • Graphical Representation of Cumulative Frequency Distribution
  • Mean, Median and Mode

Probability

  • Experimental and Classical Probability
  • Certain and Impossible Events
  • Complement of an Event
  • Few Numerical Problems
  • Some Conceptual Discussions

Trending Courses

Popular Courses

Popular Platforms

Learn more about the Courses

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

Careers360 App
150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books