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Kevin Nguyen

Hello and welcome to The Complete Course On Math Fundamentals - 2021.  My name is Kevin and I’m your instructor for this course.  This course covers the complete Basic Math and Pre-Algebra.  If you're looking to build a strong math foundation so you can be ready for Algebra, or Pre-Algebra,  High School Math Courses and Middle School Math Courses, then this is the only course you need.   

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Hello and welcome to The Complete Course On Math Fundamentals - 2021.  My name is Kevin and I’m your instructor for this course.  This course covers the complete Basic Math and Pre-Algebra.  If you're looking to build a strong math foundation so you can be ready for Algebra, or Pre-Algebra,  High School Math Courses and Middle School Math Courses, then this is the only course you need.   

At 25+ Hours Videos and Over 277+ pages of Texts (Downloadable and Printable) with over 1000+ Practice Questions, Lecture Notes, and Answer Keys, this is one of the most comprehensive course on math fundamentals available online.   This course will take you from beginner to master and here's why:

  • This course is taught by a math instructor with more than 20+ years of math teaching and tutoring experience.  Many of my former students have later on been accepted into top engineering and medical programs at top universities in the United States and graduated as Valedictorians at their schools.

  • This course doesn't rush with the explanations.  Each topic is explain thoroughly using simple real world things (and sometimes drawings) to help you understand and memorize all math concepts easily and quickly.

  • Each section has lecture notes, and videos of me teaching that lesson and working out example problems, step by step, and then practice worksheet for you to do.   There are video solutions to all of the even questions in the practice worksheet along with answer key.

  • The layout and pacing of the course increase in difficulty as you get deeper into each practice worksheet and deeper into the course to increase your mastery of the math fundamentals.

  • There is a quiz at the end of every chapter along with a final comprehensive exam at the end of the course.  Along with the complete video solutions and answer key to all the quizzes and final comprehensive exam.

  • Throughout this course, you’ll find tips, tricks, strategies that I have taught and developed over many years and they had helped thousands of my students. These tips will help you memorize vocabularies faster, understand math better, and solve questions quicker and easier.

    Topics This Course Covers:

  • Different Type of Numbers (Rational, Irrational, Positive, Negative, Prime, Composite, Integers, Real, Imaginary)

  • Properties (Commutative, Associative, Distributive, Identity, Inverse) 

  • Absolute Value

  • Order of Operations (PEMDAS)

  • Greatest Common Factor (GCF), Least Common Multiple (LCM), Least Common Denominator (LCD)

  • Numbers Divisibility Rule

  • Rounding of Numbers

  • Operations (Add, Subtract, Multiply, Divide) with:

    • Fractions

    • Decimal Numbers

    • Integers

    • Scientific Notations

    • Mixed Numbers

    • Exponents

  • Percent

  • Proportion 

  • Ratio

  • Rates, Unit Rates

  • Mark Up, Sales Discount, Final Cost

  • Square Root

    • Finding Square Root

    • Simplifying Square Root

    • Perfect Square, Perfect Square Root

  • Perfect Cubes, Cube Root

  • Advance Exponents

  • Radical

  • Multiplying Binomials

  • Rationalize Denominator

  • Perimeter, Area, Circumference, Circle, Square, Triangle, Rectangle

  • Metric and Customary Unit Conversion Length, Weight, Capacity, Time

  • Statistics - Mean Median Mode, Range, Outlier

  • Solve for Variable in Equations

  • And More. (Please look at the syllabus if you would like more information)

    Sign up today and look forward to:

  • Video Lectures (included in 25+ Hours of Videos)

  • More than 277+ Pages of Practice Questions, Answer Key, Lecture Notes, Quizzes, Final Exam

  • More than 1000+ Practice Questions (And Answers)

  • Video Solutions of ALL the EVEN Questions in Practice Worksheets (More than 500 Even Questions are work out on Videos step by step. )

  • More than 16 Quizzes and One Comprehensive Final Exam

  • Video Solutions to All the Quizzes Questions and Final Exam Questions.

  • Materials that are regularly updated

  • Downloads

Please don't just take my word for it, check out what existing students have to say about the course:

"The course is very comprehensive with detailed explanations and loads of practice questions. The videos are easy to follow and understand and the instructions are given in simple steps and at a good pace. I like the fact that Kevin also uses non math/real life related examples (e.g. using pencils, a person etc. instead of x, y, z etc), which makes the mathematical jargons and concept a lot easier to comprehend. Would definitely recommend the course. "  - Phan Melhuish

"Kevin teaches and explains math in a very easy to understand and engaging manner. It's been over 10 years since I last took math in high school and this course is a great refresher. Now I am ready to tackle the next course, Algebra, with no hesitation. There are a lot of practice questions and clear and concise explanation videos to follow along. I highly recommend this course for everyone who wants to learn or review the foundations of math." -  Cathy Ho

"Nicely explained in a simple, easy to understand way."  - Tony Tran

YOU'  So Sign Up Today.

A Little Background About Me.

I was a computer engineer major for the first couple of years at the University of California (before I switched to teaching) and I took a lot of math courses.  I noticed that back when I was younger, I only focused on solving the questions quickly  but not understanding the fundamentals behind it.  And that was not good because you need to understand the math fundamentals in order to solve any math question quicker and easier.

Why Should You Take This Course

As a result, I became a teacher and professional tutor.  Over the years, I have taught these math fundamentals to my students and my students have really improved.  Many of my students have been accepted into medical and engineering programs at top universities in the United States (), some of my students have scored 780+ points on their math SAT exam, and some have earned $16,000 scholarships from their districts, some became valedictorians from their high schools, and some went on to college at the age of 14.

Enroll now

What's inside

Learning objectives

  • Learn everything you need to succeed in math fundamentals.
  • Build a strong math background so you can be ready for algebra.
  • Master pre-algebra with this course
  • Master basic math with this course.
  • Learn best math tips, tricks, and strategies to solve math questions.
  • Master math fundamentals with this course.
  • Get a head start on high school math courses and middle school math courses.

Syllabus

Introduction
Intro
Before You Start
Introductions How To Be Successful In The Course + Multiplication Chart
Read more
How To Download Practice Worksheets, Answer Keys, Notes, Quizzes, Final Exam

Course Syllabus for The Complete Course on Math Fundamentals

Tips, Tricks, and Strategies Video + Notes
Chapter 1 - Introduction to Number Theory and Math Properties
Introduction to Number Theory and Math Properties Videos + Notes

For the Lesson 1b Number Theory Worksheet please look under Lecture 4 "Downloadable Materials" right under "Introduction to Number Theory and Math Properties."

For the Lesson 1c Number Set Diagram Worksheet please look under Lecture 4 "Downloadable Materials"  right under "Introduction to Number Theory and Math Properties."

Lesson 2 Basic Math Key Vocabularies Video + Notes
Lesson 3 Commutative - Associative - Identity - Inverse Video + Note + Worksheet
Lesson 3a Commu. Assoc. Identity Inverse Worksheet +Video Solutions + Answer Key
Lesson 4 Basic Division Worksheet + Video Solutions + Worksheet + Answer Key
Lesson 5 Prime Numbers or Composite Video Solution + Worksheet + Answer Key
Lesson 5b Prime Factorization in Prime Factorization Worksheet Video Solution
Lesson 5c Prime Factorization in Exponential Form Worksheet Video Solution

For the absolute value video lesson, please look at the the first lesson of the chapter titled Lesson 1a Introduction to Number Theory and Math Properties, the absolute value section is in the very end of that video.

Lesson 7 Distributive Property Video Lecture + Note
Lesson 7a Distributive Property Worksheet + Video Solutions + Answer Key
Chapter 1 Quiz + Video Solutions + Answer Key
Chapter 2 - Greatest Common Factor, Least Common Multiple, Divisibility Rules
Lesson 1 Advance Key Vocabularies, Definitions, Examples Video Lecture + Note
Lesson 1a Greatest Common Factor (GCF) Video Lecture + Lecture Note + Worksheet
Lesson 1a Greatest Common Factor (GCF) Worksheet + Video Solution + Answer Key
Lesson 2a Least Common Multiple Video Lecture + Note
Lesson 2b Least Common Multiple Worksheet + Video Solution + Answer Key

For video examples on how to do Advance GCF, please watch the first question (or couple of questions) in this video (Lesson 3a Advance GCF Worksheet Video Solutions)

For video examples on how to do Advance LCM, please watch the first question (or couple of questions) in this video (Lesson 4 Advance LCM Worksheet Video Solutions)

Order of Operations Video Lecture + Lecture Note

For video examples on how to do order of operations, please watch the first question (or couple of questions) in this video (Lesson 5 Order of Operations Worksheet Video Solution)

Lesson 6 Divisibility Rules 2 to 10 Video Lecture + Note + Worksheet
Lesson 6a Divisibility Rule Worksheet + Video Solution + Answer Key
Chapter 2 Quiz + Video Solutions + Answer Key
Chapter 3 - Fractions Percent and Decimal Numbers
Lesson 1a Decimal Vocabularies Video Lecture + Note + Worksheet
Lesson 1a Decimal Terminating Nonterminat. Worksheet Video Solution + Answer Key
Lesson 2 Converting Fraction Decimals Percent Video Lecture + Lecture Note
Lesson 2a Fraction to Decimal Worksheet Video Solution + Worksheet + Answer Key
Lesson 2b Fractions to Percent Worksheet Video Solution + Worksheet + Answer Key
Lesson 2c Decimal to Fraction Worksheet Video Solution
Lesson 2d Decimal to Percent Worksheet Video Solution + Worksheet + Answer Key
Lesson 2f Percent to Fraction Worksheet Video Solution + Worksheet + Answer Key
Lesson 2g Percent to Decimal Worksheet + Video Solution + Answer Key
Lesson 3 Most Frequently Used Percent Fraction Handout Video
Lesson 4 Quiz Percent Decimal Worksheet 3 Student Quiz Video Solution
Lesson 5 Finding Percent of a # Worksheet Video Solution + Worksheet + Answer Ke
Chapter 3 Quiz + Video Solutions + Answer Key
Chapter 4 - Classifying Fractions Equivalent Fractions
Lesson 1 Classifying Fractions Equivalent Fractions
Lesson 1a Classifying Fractions Worksheet + Video Solution + Answer Key
Lesson 2 Equivalent Fractions Video Lecture + Note
Lesson 2a Equivalent Fractions Worksheet + Video Solution + Answer Key
Lesson 3 Comparing Fractions Video Lecture + Worksheet
Lesson 3a Comparing Fractions Worksheet Video Solution + Answer Key
Lesson 3b Fractions Least to Greatest Worksheet + Video Solution + Answer Key
Chapter 4 Quiz + Video Solutions + Answer Key
Chapter 5 - Add Subtract Multiply Divide Fractions
Lesson 1 Add Fractions Video Lecture + Note + Worksheet
Lesson 1a Add Fractions Worksheet Video Solution + Answer Key
Lesson 2 Subtract Fractions Video Lecture + Note
Lesson 2 Subtract Fraction Rule Video Lecture + Solutions + Answer Key
Lesson 3 Multiply Fractions Video Lecture + Note + Worksheet
Lesson 3a Multiply Fractions Worksheet Video Solution + Answer Key
Lesson 4 Divide Fractions Video Lecture + Note + Worksheet
Lesson 4a Divide Fractions Worksheet + Video Solutions + Answer Key
Lesson 5 Reduce Fraction Using GCF Worksheet + Video Solution + Answer Key
Chapter 5 Quiz + Video Solutions + Answer Key
Chapter 6 - Mixed Numbers
Lesson 1 Add Mixed Numbers Video Lecture + Note + Worksheet
Lesson 1a Add Like Mixed Numbers Workheet + Video Solutions + Answer Key
Lesson 2 Subtract Mixed Number Worksheet + Video Lecture + Note
Lesson 2 Subtract Mixed Number Worksheet + Video Solutions + Answer Key
Lesson 3 Multiply Mixed Numbers Video Lecture + Note + Worksheet
Lesson 3a Multiply Mixed Numbers Worksheet + Video Solution + Answer Key
Lesson 4 Divide Mixed Numbers Worksheet + Video Lecture + Notes
Lesson 4a Divide Mixed Numbers Worksheet + Video Solution + Answer Key
Lesson 5 Converting Mixed Numbers to Improper Video Lecture + Worksheet
Lesson 5 Converting Mixed Numbers Worksheet Video Solution + Answer Key
Chapter 6 Quiz + Video Solutions + Answer Key
Chapter 7 - Decimal Place Order Rounding Standard Form Expanded Form
Lesson 1 Decimal Number Place Order Video Lecture + Note
Lesson 1a Decimal Number Place Order Worksheet + Video Solution + Answer Key
Lesson 2 Rounding Rule Video Lecture + Note
Lesson 2 Rounding Rule Worksheet Video Solution
Lesson 3 Standard Form - Expanded Form - Word Form Video Lecture
Lesson 3a Standard Form Worksheet + Video Solutions
Lesson 3b Expanded Form Worksheet + Video Solution + Answer Key
Lesson 3c Word Form Worksheet + Video Solution + Answer Key
Lesson 4 Comparing Decimal Worksheet + Video Solution + Answer Key
Chapter 7 Quiz + Video Solutions + Answer Key
Chapter 8 - Integers
Lesson 1a Add Integers Same Sign Video Lecture + Note
Lesson 1b Add Integers Diff Signs Video Lecture
Lesson 1c Add Intgers Worksheet + Video Solution + Answer Key
Lesson 2a Subtract Integers Same Signs Video Lecture
Lesson 2b Subtract Integers Different Signs Video Lecture
Lesson 2c Subtract Integers Worksheet + Video Solution +
Multiply Integers Video Lecture + Lecture Note

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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in The Complete Course On Math Fundamentals with these activities:
Review Fraction Operations
Reinforce your understanding of fraction operations before tackling more complex problems. This will help you avoid common errors and build a solid foundation.
Show steps
  • Review the rules for adding, subtracting, multiplying, and dividing fractions.
  • Work through practice problems, focusing on areas where you struggle.
  • Check your answers and review the solutions to understand your mistakes.
Review: 'Basic Mathematics' by Serge Lang
Deepen your understanding of fundamental math concepts with a classic textbook. This book provides a more theoretical approach to the topics covered in the course.
Show steps
  • Obtain a copy of 'Basic Mathematics' by Serge Lang.
  • Read the chapters relevant to the course syllabus, focusing on areas where you need more clarity.
  • Work through the exercises in the book to test your understanding.
Practice Order of Operations Problems
Sharpen your skills in applying the order of operations (PEMDAS/BODMAS). Consistent practice will improve your accuracy and speed.
Show steps
  • Find online resources or worksheets with order of operations problems.
  • Work through a set of problems, paying close attention to the correct order.
  • Check your answers and identify any mistakes you made.
  • Repeat the process until you feel confident in your ability to solve these problems.
Four other activities
Expand to see all activities and additional details
Show all seven activities
Create a Math Fundamentals Cheat Sheet
Summarize key concepts and formulas from the course into a concise cheat sheet. This will help you review the material and quickly access important information.
Show steps
  • Review your notes and the course materials.
  • Identify the most important concepts, formulas, and rules.
  • Organize the information into a clear and concise cheat sheet.
  • Use diagrams, examples, and color-coding to make the cheat sheet easy to understand.
Review: 'Math Doesn't Suck' by Danica McKellar
Explore a different perspective on math fundamentals with a book that emphasizes real-world applications and intuitive understanding. This book can help you see the relevance of math in everyday life.
Show steps
  • Obtain a copy of 'Math Doesn't Suck' by Danica McKellar.
  • Read the chapters that align with the course topics.
  • Pay attention to the real-world examples and explanations.
  • Try the practice problems and see how the concepts apply to different situations.
Help Others in Online Math Forums
Reinforce your understanding by explaining concepts to others. Teaching is a great way to solidify your knowledge.
Show steps
  • Find online math forums or communities.
  • Look for questions related to the topics covered in the course.
  • Provide clear and helpful explanations to answer the questions.
  • Be patient and supportive, and encourage others to learn.
Design a Math Game
Apply your knowledge of math fundamentals to create an engaging and educational game. This project will challenge you to think creatively and apply what you've learned.
Show steps
  • Choose a specific math topic from the course to focus on.
  • Brainstorm ideas for a game that incorporates that topic.
  • Design the rules, gameplay, and scoring system for your game.
  • Create the game materials, such as cards, boards, or dice.
  • Test your game with friends or family and make adjustments as needed.

Career center

Learners who complete The Complete Course On Math Fundamentals will develop knowledge and skills that may be useful to these careers:
Homeschooling Parent
A homeschooling parent takes on the responsibility of educating their children at home. This course in math fundamentals helps a homeschooling parent gain confidence in teaching math. The course's comprehensive coverage of basic math and pre-algebra, along with its clear explanations and practice questions, provides a structured framework for home instruction. The video solutions and answer keys enable parents to effectively guide their children through the material and assess their understanding. A homeschooling parent can be more effective with the knowledge gained in this course.
Tutor
A tutor provides personalized instruction to students, often focusing on specific subjects or skills. This course in math fundamentals helps build a strong understanding of basic math and pre-algebra, equipping someone to effectively guide students through these foundational concepts. The course's comprehensive coverage, including various types of numbers, properties, and operations, enhances a tutor's ability to explain and illustrate mathematical principles. The tips, tricks, and strategies taught in this course are invaluable for helping students grasp concepts more easily. A tutor who has taken this course may be in high demand.
Math Teacher
A math teacher is responsible for educating students in mathematics, creating lesson plans, and assessing student progress. This course on math fundamentals builds a robust basis for teaching basic math and pre-algebra. The course's detailed explanations, practice questions, and video solutions provide a wealth of resources for creating engaging and effective lessons. The emphasis on understanding and memorizing math concepts, along with the strategies for problem-solving, prepares a math teacher to explain complex topics in a clear and accessible way. Someone who takes this course may be more prepared to become a math teacher.
Math Coach
A math coach works with students individually or in small groups to improve their math skills and confidence. This course in math fundamentals builds a strong base for coaching students in basic math and pre-algebra. The course's focus on understanding mathematical concepts and problem-solving strategies enables a math coach to effectively guide students towards mastery. The tips, tricks, and strategies taught in this course are invaluable for helping students overcome challenges and improve their performance. Someone who takes this course may be more prepared to coach math.
Curriculum Developer
A curriculum developer designs and develops educational materials and programs. This course in math fundamentals may be useful for creating curricula focused on basic math and pre-algebra. The course's comprehensive content, covering number theory, properties, operations, and various mathematical concepts, serves as a valuable resource for structuring a well-rounded curriculum. The practice questions, quizzes, and exams in this course help curriculum developers assess the effectiveness of their materials and identify areas for improvement. A curriculum developer may find this course useful to ensure the proper scaffolding of math skills.
Adult Education Instructor
An adult education instructor teaches courses to adult learners, often focusing on basic skills or career development. This course on math fundamentals helps an instructor effectively teach basic math and pre-algebra to adult learners who may need to refresh their skills. The course's clear explanations, practice questions, and video solutions provide a wealth of resources for creating accessible and engaging lessons. The emphasis on understanding and memorizing math concepts, prepares an adult education instructor to explain complex topics in a clear and accessible way. This course may be useful for an adult education instructor.
Test Preparation Instructor
A test preparation instructor helps students prepare for standardized tests, such as the SAT or ACT. This course in math fundamentals may enhance an instructor's ability to guide students through the math sections of these exams. The course's coverage of basic math and pre-algebra concepts, along with its emphasis on problem-solving strategies, refines an instructor's expertise in test preparation. The tips, tricks, and strategies taught in this course help students improve their speed and accuracy on standardized tests. Someone who takes this course may feel more ready to teach a test preparation course.
Instructional Designer
An instructional designer creates engaging and effective learning experiences. This course in math fundamentals may be useful for designing instructional materials focused on mathematics. The course's comprehensive content, including number theory, properties, operations, and various mathematical concepts, serves as a valuable resource for structuring a well-rounded curriculum. The practice questions, quizzes, and exams in this course help instructional designers assess the effectiveness of their materials and identify areas for improvement. An instructional designer may find that this course enhances their understanding of mathematics.
Educational Consultant
An educational consultant advises schools and educational organizations on best practices in teaching and learning. This course on math fundamentals may provide a solid foundation for consulting on math education at the elementary and middle school levels. The course's coverage of basic math and pre-algebra, along with its emphasis on effective teaching strategies, helps an educational consultant assess the quality of math instruction and recommend improvements. The various materials offered in this course can help an educational consultant better serve their clients.
Learning Center Director
A learning center director oversees the operations of a learning center, including curriculum development, staff training, and student support. This course in math fundamentals helps a director ensure the quality of math instruction at their center. The course's comprehensive content, covering basic math and pre-algebra, serves as a valuable resource for training staff and developing effective curricula. The practice questions, quizzes, and exams in this course help assess student progress and identify areas for improvement. A learning center director may improve their organization's offerings by taking this course.
Education Program Coordinator
An education program coordinator manages and coordinates educational programs. This course in math fundamentals may be useful for overseeing programs focused on basic math and pre-algebra. The course's coverage of mathematical concepts, along with its emphasis on effective teaching strategies, helps a coordinator ensure the quality and effectiveness of their programs. The resources in this course may also help in designing program activities.
Accountant
An accountant prepares and analyzes financial records, ensuring accuracy and compliance with regulations. While this course focuses on math fundamentals, a strong foundation in basic math is essential for performing calculations and analyzing financial data. The course's coverage of operations with numbers, percentages, and ratios can be directly applied to accounting tasks. This course may be useful for an accountant.
Early Childhood Educator
An early childhood educator works with young children in preschool or kindergarten settings, fostering their early learning and development. While this course focuses on math fundamentals beyond the scope of early childhood education, the understanding of mathematical concepts such as numbers and shapes may help in designing age-appropriate activities. The course's emphasis on clear explanations and problem-solving strategies can be adapted to help young children grasp basic mathematical ideas. An early childhood educator could incorporate these concepts.
Data Analyst
A data analyst collects, analyzes, and interprets data to provide insights and support decision-making. While this course focuses on math fundamentals, the underlying principles of logical reasoning and problem-solving apply to data analysis. The course's coverage of mathematical operations, statistics, and problem-solving strategies helps build a foundation for understanding and interpreting quantitative data. A data analyst may find this course useful in solving various problems.
Software Engineer
A software engineer designs, develops, and tests software applications. While the direct application of math fundamentals may be limited in some areas of software engineering, a strong understanding of mathematical concepts and logical reasoning can be beneficial. This course may help some software engineers.

Reading list

We've selected two books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in The Complete Course On Math Fundamentals.
Offers a friendly and accessible approach to pre-algebra concepts. It uses real-world examples and relatable language to make math more engaging and less intimidating. It's a great resource for students who struggle with traditional math textbooks and prefer a more informal learning style. This book is best used as additional reading to supplement the course.
Provides a rigorous and comprehensive treatment of basic mathematics. It is particularly useful for students who want to solidify their understanding of fundamental concepts. While not strictly necessary for the course, it offers a deeper dive into the underlying principles and can serve as a valuable reference.

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