What you'll learn
Confidence in applying mathematical concepts and skills to everyday situations, as well as in higher-level mathematics courses.
A strong foundation in fundamental mathematical concepts and skills, including positive and negative numbers, operations, fractions, decimals, and percentages.
Proficiency in performing arithmetic operations with fractions and simplifying surds.
An understanding of rational and irrational numbers, surds, indices, and logarithms and index laws.
The ability to round decimals to a given number of decimal places and work with numbers expressed in scientific notation.
Requirements
No prerequisites required. You will learn everything you need to know.
Description
This course is designed to provide you with a solid foundation in mathematical concepts and skills. You will begin by exploring positive and negative numbers and their properties. You will also learn about the order of operations and how to use it to evaluate expressions. Additionally, you will be introduced to fractions, including how to add, subtract, multiply and divide them.As the course progresses, you will deepen your understanding of decimals and percentages, including how to round decimals. They will also explore rational and irrational numbers, as well as surds and their operations, including simplification. You will then delve into the topic of indices, including index laws and scientific notation.Finally, you will be introduced to logarithms and their properties, including logarithm laws and examples of their applications. You will also learn about the change of base theorem and how to use it in practice.Throughout the course, you will have the opportunity for with regular checks of understanding and exercises designed to reinforce each concepts covered. You will receive a comprehensive 38-page booklet of mathematics questions and worked solutions to aid you in learning and provide additional opportunities to practice your skills. By the end of the course, you will have have a strong foundation in mathematical principles, and the tools to continue building your mathematical abilities.
Overview
Section 1: Introduction
Lecture 1 Introduction and student workbook
Section 2: Learning material
Lecture 2 Positive and negative numbers
Lecture 3 Order of operations
Lecture 4 Introduction to fractions and adding and subtracting.
Lecture 5 Multiplying and dividing fractions.
Lecture 6 Decimals and percentages
Lecture 7 Rounding decimals.
Lecture 8 Rational and Irrationals numbers.
Lecture 9 Introduction to Surds and Operations with surds
Lecture 10 Simplifying Surds
Lecture 11 Index or Power
Lecture 12 Index laws
Lecture 13 More index law examples
Lecture 14 Scientific notation
Lecture 15 Logarithms
Lecture 16 Logarithm laws
Lecture 17 Examples of log laws
Lecture 18 More examples of log laws
Lecture 19 Change of base theorem
This course is designed for a diverse group of learners, including high school and college students, adult learners, homeschooling parents, and individuals seeking to improve their numeracy skills. It provides a comprehensive overview of foundational mathematical concepts and skills, from positive and negative numbers to logarithms, and includes practical exercises and a comprehensive booklet of questions and worked solutions to aid in learning and skill-building.


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