Mathematics – VIII

About Course

This course is designed to help students strengthen their mathematical concepts, tackle challenging topics, and explore the real-world applications of mathematics. It also encourages and fosters core skills in the Mathematics subject. It includes a variety of interactive online learning resources that can help students learn and practice mathematics in a way that best suits their needs and learning styles. These resources are designed to help students learn and practice mathematical concepts in a fun and engaging way. Learners can use the games and simulations to practice solving word problems or to learn about different mathematical concepts more interactively. The videos can be used to review concepts or to learn new material. The math dictionary and glossary can be used to look up the definitions of mathematical terms. The important formula sheet can be used as a reference for key formulas. The worksheets can be used to practice solving problems. The additional notes can be used to review concepts or to learn more about specific topics.

The course covers a variety of important topics, including integers, algebraic equations, tables and graphs, financial arithmetic, geometric shapes, and other fundamental concepts are covered in this math course. Students can access the course materials on their smartphones or tablets at their convenience.

Why Take This Course?

This course is a great way for students to strengthen their mathematical foundation and develop the skills they need to succeed in school and beyond. It is also a valuable resource for teachers and parents who want to support their students’ learning.

Course Benefits:

The course is designed to be beneficial for students, teachers, and parents alike.

Students: Students can use the mobile-friendly lessons to review information they already know or learn new things.
Teachers: Teachers can use video lessons in schools to provide new learning opportunities for students or to assign quizzes and tests in class or homework.
Parents: Parents can use the lessons to assist their students with homework and assignments or to create an engaging and interesting curriculum for their homeschoolers.

Course Prerequisites:

Good command of Arithmetic Operations (+, -, x, /), Decimals and Fraction.
Understanding of LCM & HCF, Exponents, and Polygons.

Posing a question is good and a must-have habit for a student, if you ever need assistance or have any queries feel free to reach out to your instructor, and pose your questions in the Q&A section.

Conceptual Understanding — comprehension of mathematical concepts, operations, and relations.
Procedural Fluency — skill in carrying out procedures flexibly, accurately, efficiently, and appropriately.
Making Connections — the ability to recognize and use connections among mathematical ideas; understand how mathematical ideas interconnect and build on one another to produce a coherent whole; recognize and apply mathematics in contexts outside of mathematics.
Tackling Word Problems — to develop flexible thinking, nothing is more powerful than analyzing and comparing word problems with the help of proven step-by-step methods/strategies that counteract the word problem issues.
Communicate Mathematically — explain your mathematical thinking to another, either orally or in writing, using representations. Justify your own problem-solving process. Respond to the mathematical ideas of another.
Strategic Competence — ability to formulate, represent, and solve mathematical problems.

Course Content

Chapter 01 – Operations on Sets
The set operations are performed on two or more sets to obtain a combination of elements as per the operation performed on them. In a set theory, there are three major types of operations performed on sets, such as: Union of sets (∪) The intersection of sets (∩) Difference of sets ( – ) In this lesson we will discuss these operations along with their Venn diagram and will learn to verify the following laws: Commutative, Associative, Distributive, and De-Morgans' law.

Subsets and Super Sets

03:10
Venn Diagrams

03:32
Operations on Set

00:00
Union of Sets

06:11
Intersection of Sets

06:13
Difference of Sets

05:15
Complement of Sets

06:21
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Venn Diagrams (Three or More Sets)

03:22
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Commutative Law of Union and Intersection

02:53
Associative Law of Union and Intersection

05:01
Distributive Law over Union and Intersection

04:13
De Morgan’s Law

05:25

Chapter 02 – Real Numbers
All real numbers follow three main rules: they can be measured, valued, and manipulated. Learn about various types of real numbers, like whole numbers, rational numbers, and irrational numbers, and explore their properties. In this chapter, we will learn about Squares and cubes of real numbers and find their roots.

Chapter 03 – Number System
The number system or the numeral system is the system of naming or representing numbers. There are different types of number systems in Mathematics like decimal number system, binary number system, octal number system, and hexadecimal number system. In this chapter, we will learn different types and conversion procedures with many number systems.

Chapter 04 – Financial Arithmetic
Financial mathematics describes the application of mathematics and mathematical modeling to solve financial problems. In this chapter, we will learn about partnership, banking, conversion of currencies, profit/markup, percentage, and income tax.

Chapter 05 – Polynomials
In algebra, a polynomial equation contains coefficients, exponents, and variables. Learn about forming polynomial equations. In this chapter, we will study the definition and the three restrictions of polynomials, we'll tackle polynomial equations and learn to perform operations on polynomials, and learn to avoid common mistakes.

Chapter 06 – Factorization, Simultaneous Equations
In algebra, factoring is a technique to simplify an expression by reversing the multiplication process. Simultaneous Equations are a set of two or more algebraic equations that share variables and are solved simultaneously. In this chapter, we will learn about factoring by grouping, review the three steps, explore splitting the middle term, and work examples to practice verification and what simultaneous equations are with examples. Find out how to solve the equations using the methods of elimination, graphing, and substitution.

Chapter 07 – Fundamentals of Geometry
Geometry is the study of different types of shapes, figures, and sizes. It is important to know and understand some basic concepts. We will learn about some of the most fundamental concepts in geometry, including lines, polygons, and circles.

Chapter 08 – Practical Geometry
Geometric construction offers the ability to create accurate drawings and models without the use of numbers. In this chapter, we will discover the methods and tools that will aid in solving math problems as well as constructing quadrilaterals and right-angled triangles.

Chapter 09 – Areas and Volumes
The volume and surface area of a sphere can be calculated when the sphere's radius is given. In this chapter, we will learn about the shape sphere and its radius, and understand how to calculate the volume and surface area of a sphere through some practice problems. Also, we will learn to use and apply Pythagoras' theorem and Herons' formula.

Chapter 10 – Demonstrative Geometry
Demonstrative geometry is a branch of mathematics that is used to demonstrate the truth of mathematical statements concerning geometric figures. In this chapter, we will learn about theorems on geometry that are proved through logical reasoning.

Chapter 11 – Trigonometry
Sine and cosine are basic trigonometric functions used to solve the angles and sides of triangles. In this chapter, we will review trigonometry concepts and learn about the mnemonic used for sine, cosine, and tangent functions.

Chapter 12 – Information Handling
Frequency distribution, in statistics, is a graph or data set organized to show the frequency of occurrence of each possible outcome of a repeatable event observed many times. Measures of central tendency describe how data sets are clustered in a central value. In this chapter, we will learn to construct the frequency distribution table, and learn more about three measures of central tendency, its importance, and various examples.

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About Course

Why Take This Course?

Course Benefits:

Course Prerequisites:

What Will You Learn?

Course Content

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Chapter 04 – Financial Arithmetic Financial mathematics describes the application of mathematics and mathematical modeling to solve financial problems. In this chapter, we will learn about partnership, banking, conversion of currencies, profit/markup, percentage, and income tax.

Let’s Try

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Chapter 07 – Fundamentals of Geometry Geometry is the study of different types of shapes, figures, and sizes. It is important to know and understand some basic concepts. We will learn about some of the most fundamental concepts in geometry, including lines, polygons, and circles.

Let’s Try

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Chapter 10 – Demonstrative Geometry Demonstrative geometry is a branch of mathematics that is used to demonstrate the truth of mathematical statements concerning geometric figures. In this chapter, we will learn about theorems on geometry that are proved through logical reasoning.

Let’s Try

Chapter 11 – Trigonometry Sine and cosine are basic trigonometric functions used to solve the angles and sides of triangles. In this chapter, we will review trigonometry concepts and learn about the mnemonic used for sine, cosine, and tangent functions.

Let’s Try

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Student Ratings & Reviews

Chapter 04 – Financial Arithmetic
Financial mathematics describes the application of mathematics and mathematical modeling to solve financial problems. In this chapter, we will learn about partnership, banking, conversion of currencies, profit/markup, percentage, and income tax.

Chapter 07 – Fundamentals of Geometry
Geometry is the study of different types of shapes, figures, and sizes. It is important to know and understand some basic concepts. We will learn about some of the most fundamental concepts in geometry, including lines, polygons, and circles.

Chapter 10 – Demonstrative Geometry
Demonstrative geometry is a branch of mathematics that is used to demonstrate the truth of mathematical statements concerning geometric figures. In this chapter, we will learn about theorems on geometry that are proved through logical reasoning.

Chapter 11 – Trigonometry
Sine and cosine are basic trigonometric functions used to solve the angles and sides of triangles. In this chapter, we will review trigonometry concepts and learn about the mnemonic used for sine, cosine, and tangent functions.