Mathematics – VI

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 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 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 group of elements in brackets that are related to one another. In this chapter, you will learn about the differences and similarities between an equal set and an equivalent set, and describe the notion and types of sets.

Chapter 02 – Whole Numbers
Numbers are everywhere in our world. In this chapter, we'll learn about whole numbers, and will explore what a whole number is and how we use these types of numbers in our everyday lives.

Chapter 03 – Factors and Multiples
Multiples and factors are basic mathematical concepts. Review these terms and how they are applied to real-world scenarios, and practice applying them to solve sample word problems. Learning how to divide can be a little challenging, but knowing some basic rules about dividing can help. In this chapter, you'll learn about the divisibility rules that apply to numbers.

Chapter 04 – Integers
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. In this chapter, we'll learn about mathematical operations with integers using the operations of addition, subtraction, multiplication, and division. Discover the properties of integers and how those properties affect the solution to different types of math problems.

Chapter 05 – Simplification
Simplifying math expression is an important part of helping students learn how to work and think algebraically. The order of operations in mathematics is the sequence in which a problem is solved. In this chapter, we'll explore the definition and examples of the order of operations in math, discover the steps involved, and learn the shortcut for remembering the steps defined by the acronym BODMAS and PEMDAS.

Chapter 06 – Ratio and Proportions
Ratios allow us a way to mathematically compare two or more items, and proportions can help us find out even more information. In this chapter, we'll learn the definition of ratios and proportions, and understand how to calculate the ratio and proportion problems.

Chapter 07 – Financial Arithmetic
Many values we come across regularly change frequently. In this chapter, we will look at examples when a quantity decreases in value, and how such decreases can be represented using percentages. A company may have a great product but if they are losing money, it will eventually go out of business. We will explore profit and loss from an economic perspective.

Chapter 08 – Introduction to Algebra
To evaluate simple algebraic expressions, substitute a number for each variable and solve. In this chapter, we'll learn the steps for evaluating simple algebraic expressions, including rules for order of operations and parentheses, and tackle the practice problems.

Chapter 09 – Linear Equations
A system of linear equations refers to a set of linear equations that have similar variables. In this chapter, we'll explore the definition and examples of a system of linear equations, and learn how to find the solution to a system of linear equations.

Chapter 10 – Geometry
Geometry is a sector of mathematics that analyzes shapes, lines, and surfaces. It is possible to construct different geometric shapes and patterns using lines and angles. In this chapter, we'll explore the definition of the basics of geometry: points, lines, and angles, geometric construction, the tools required for the job, and how to copy angles and line segments.

Chapter 11 – Perimeter and Area
A perimeter is a measurement used to determine the distance of a path around the outer edge of a two-dimensional object. In this chapter, we'll discover the formula to calculate perimeter for various shapes and consider the usefulness of these equations through examples. Discover how to find the area of an irregular polygon. Explore formulas for the area of regular polygons, learn how to divide an irregular polygon into a series of regular polygons, and see how to find the area using those pieces.

Chapter 12 – Three Dimensional Shapes
Geometric measurements can be taken for one-, two-, and three-dimensional shapes. In this chapter, we'll explore the most common formulas one would use to find the perimeter, area, surface area, and volume of three-dimensional figures.

Chapter 13 – Information Handling
Data handling refers to the process of gathering, recording, and presenting information in a way that is helpful to others - for instance, in graphs or charts.

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