Mathematics – VII

By Noama Khan Categories: Mathematics
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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 to learn and practice mathematics in a way that best suits their needs and learning style. 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 in a more interactive way. 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. And 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 direct and indirect variation, algebraic equations, tables and graphs, financial arithmetic, geometry, and other fundamental concepts. Students can access the course materials on their smartphones or tablets at their own 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 the 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, /)
  • Understanding of decimals, fractions, BODMAS rule, and basic geometry.

 

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.

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What Will You Learn?

  • 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 – Sets
A set is a list of objects in no particular order; they could be numbers, letters, or even words. A Venn diagram is a way of representing sets visually.

Chapter 02 – Rational Numbers
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q. In this chapter, we will learn to represent rational numbers on a number line and perform arithmetic operations.

Chapter 03 – Decimals
Decimals are a set of numbers lying between integers on a number line. They are just another way to represent fractions in mathematics. In this chapter, we will learn about the conversion of decimals to rational numbers, the kinds of decimals, and absolute values.

Chapter 04 – Exponents
The exponent of a number says how many times to use that number in a multiplication. The laws of exponents simplify the multiplication and division operations and help to solve the problems easily. In this chapter, we are going to discuss the six important laws of exponents.

Chapter 05 – Square Root of Positive Numbers
Square root, in mathematics, is a factor of a number that, when multiplied by itself, gives the original number. In this chapter, we will learn about what makes perfect squares and will find the roots of positive numbers by considering real-life scenarios.

Chapter 06 – Direct and Inverse Variation
Variation means change. With direct variation, numbers change proportionately in the same direction, while with inverse variation, they change in opposite directions. In this chapter, we will earn how to solve direct and inverse variation problems, explore their definitions, and work examples to understand the equations and techniques for solving them. Also, we learn to find the continued ratio for two or more ratios.

Chapter 07 – Financial Arithmetic
Financial mathematics describes the application of mathematics and mathematical modeling to solve financial problems. In this chapter, we will learn about the concept of taxation, profit/markups, zakat & ushr, and how they relate to our daily life.

Chapter 08 – Algebraic Expressions
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The algebraic equations which are valid for all values of variables in them are called algebraic identities. In this chapter, we will learn to perform operations on polynomials and to factorize an algebraic equation by using identities.

Chapter 09 – Linear Equations
Linear equations are equations having variables with power 1. ax+b = 0 is an example with one variable where x is the variable, and a and b are real numbers. In this chapter, we will learn the definition, type of solutions, and how to solve these equations with one variable and two variables using different methods along with examples.

Chapter 10 – Fundamentals of Geometry
Geometry is the study of different types of shapes, figures, and sizes in Maths or real life. In geometry, we learn about different angles, transformations, and similarities in the figures. It is important to know and understand some basic concepts. We will learn about working in different numbers of dimensions, and about some of the most fundamental concepts in geometry, including points, lines, and planes.

Chapter 11 – Practical Geometry
The practical Geometry chapter will teach you about lines and to construct two-dimensional given different kinds of measurements. A quadrilateral is a closed two-dimensional shape that has four sides and four angles. Any four-sided closed shape such as square, rectangle, rhombus, parallelogram, trapezium, etc. And a closed two-dimensional shape that has 3 sides and 3 angles is known as a triangle.

Chapter 12 – Circumference, Area and Volume
This topic comes under analytical geometry and the formulas for the volume and the surface area of the sphere were first discovered by Archimedes. In this chapter, we will learn about the area and volume of two-dimensional and three-dimensional shapes.

Chapter 13 – 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. And, a pie chart is a way of representing data in a circular graph. Pie slices of the chart show the relative size of the data. In this chapter, we will learn to construct the frequency distribution table, some new pie chart vocabulary, and learn to construct the pie chart to represent the data.

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