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Clayton Kramp

Fractions are one of the most struggled topics in mathematics. Since fractions are the basis of other disciplines in science, technology, and engineering, not understanding it can make STEM classes feel daunting and difficult. However, with this lecture series, using visual aid and detailed examples, it will surely help you understand the topic better.

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Fractions are one of the most struggled topics in mathematics. Since fractions are the basis of other disciplines in science, technology, and engineering, not understanding it can make STEM classes feel daunting and difficult. However, with this lecture series, using visual aid and detailed examples, it will surely help you understand the topic better.

This class is designed to take 15~30 minutes per lecture. Watch a short video that goes over the topic and walks through examples, then tackle the worksheets that are attached. Detailed solutions are included with the worksheets, so if you get stuck, you can always refer to the solutions. Take a quick quiz, and you're on to the next topic.

With the price of 1.5 hours of tutoring you get:

  • 22 video lectures going over the key aspects of the fractions and like topics

  • 32 worksheets with detailed solutions

  • "Cheat Sheets" to help you study

  • Quizzes along the way to test your knowledge

The course covers addition/subtraction/multiplication/division of fractions, conversion to decimals, addition with decimals, percentages, ratios, charts, and rational vs irrational numbers. As the course is fairly comprehensive, the course is suitable for anyone looking for 3rd~7th grade work.

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What's inside

Learning objectives

  • Understand fractions better
  • Add, subtract, multiply, divide, simplify fractions
  • Have stronger confidence tackling questions with fractions
  • Have familiarity with other related topics, like decimals, percentages, and graphs.

Syllabus

Introduction
Basics
What are fractions?

Quick review of reading fractions!

Read more
Equivalent fractions
Equivalent Fractions
Some rules in fractions
Simplifying fractions
Simplifying Fractions
Improper fractions
Improper Fractions
Comparing fractions (like denominators)
Comparing Fractions
Adding fractions (like denominators)
Adding Fractions
Multiplying Fractions
Comparing fractions (like numerators)
Adding fractions
Comparing fractions
Multiplying fractions
Dividing fractions
Dividing Fractions
Intermediate
What is a decimal?
Reading Decimals
Comparing Decimals
Adding / Subtracting Decimals
Adding Decimals
Fractions and Decimals
What is a percentage?
Percentages
Ratios
Estimating
Advanced
Pie Charts
Bar Graphs
Rational vs Irrational

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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 Fractions, etc. with these activities:
Review Multiplication Tables
Strengthen foundational multiplication skills to make fraction operations easier.
Show steps
  • Practice multiplication tables using online resources or flashcards.
  • Focus on tables up to 12x12.
  • Time yourself to improve speed and accuracy.
Read 'Sir Cumference and the Fraction Faire'
Reinforce fraction concepts through a fun and engaging story.
Show steps
  • Read the book and discuss the fraction concepts presented.
  • Identify the different ways fractions are used in the story.
  • Relate the concepts in the book to real-world examples.
Fraction Simplification Practice
Reinforce the skill of simplifying fractions through repetitive exercises.
Show steps
  • Find online worksheets or create your own with varying difficulty.
  • Work through a set number of problems each day.
  • Check your answers and review any mistakes.
Four other activities
Expand to see all activities and additional details
Show all seven activities
Create a Fraction Cheat Sheet
Synthesize key concepts and rules into a concise reference guide.
Show steps
  • Summarize the rules for adding, subtracting, multiplying, and dividing fractions.
  • Include examples for each operation.
  • Add tips for simplifying fractions and converting between fractions, decimals, and percentages.
  • Organize the information clearly and visually.
Review 'Fractions, Decimals, and Percents'
Deepen understanding of fractions, decimals, and percents with a comprehensive guide.
Show steps
  • Read the book and work through the examples.
  • Complete the practice problems and check your answers.
  • Review any concepts you find challenging.
Fraction Word Problem Challenge
Apply fraction knowledge to solve real-world problems.
Show steps
  • Find or create a set of word problems involving fractions.
  • Solve each problem, showing your work.
  • Check your answers and explain your reasoning.
  • Share your solutions and discuss different approaches.
Design a Fraction Board Game
Solidify understanding by creating a game that reinforces fraction concepts.
Show steps
  • Brainstorm game mechanics that involve fractions.
  • Design the game board, rules, and playing pieces.
  • Playtest the game and refine the rules.
  • Present the game and explain the fraction concepts it reinforces.

Career center

Learners who complete Fractions, etc. will develop knowledge and skills that may be useful to these careers:
Math Tutor
As a math tutor, having a deep understanding of fractions and related concepts is crucial for effectively guiding students. This course, covering addition, subtraction, multiplication, and division of fractions, along with decimals, percentages, and graphs, solidifies the tutor's understanding of these topics. The visual aids and detailed examples presented in the lectures may provide valuable techniques for explaining complex concepts to students in a clear and engaging manner. The course's worksheets and detailed solutions offer a readily available resource for practice problems and assessing student progress. The tutor may also adapt the quick quizzes provided in the course to test their student's understanding and identify areas where further support is needed. A math tutor often needs to work at multiple grade levels so the 3rd through 7th grade content may prove very useful.
Math Teacher
A math teacher helps students understand mathematics, and a deep understanding of fractions and related concepts such as percentages and ratios is crucial for effectively guiding students, especially at the elementary and middle school levels. This course covering addition, subtraction, multiplication, and division of fractions, may help the teacher solidify their understanding of these topics. The teacher may adapt material from the lectures to enhance their lesson plans. The teacher might find the worksheets to be a useful tool in their class. It may also help to see how another teacher explains such concepts.
Homeschool Teacher
A homeschool teacher must be proficient in a variety of subjects, and a solid understanding of math fundamentals is essential. This course, covering fractions, decimals, percentages, and ratios, may help build the homeschool teacher's confidence in explaining these concepts clearly to their children. The comprehensive nature of the course, designed for the 3rd to 7th-grade level, prepares the teacher to address common student struggles and misconceptions. The detailed solutions included with the worksheets and the quick quizzes offer valuable resources for practice and assessment. The sections on pie charts and bar graphs may be directly incorporated into homeschool lessons, providing engaging and practical applications of mathematical concepts. The teacher can also share resources with the student.
Elementary School Teacher
An elementary school teacher plays a vital role in shaping young minds, and a solid understanding of fundamental math concepts is essential. This course, covering fractions, decimals, percentages, and ratios, helps build the teacher's confidence in explaining these concepts clearly to students. The comprehensive nature of the course, designed for 3rd to 7th-grade material, helps prepare the teacher to address common student struggles and misconceptions. The detailed solutions included with the worksheets and the quick quizzes may provide valuable insights into effective teaching strategies. Furthermore, the sections on pie charts and bar graphs may be directly incorporated into classroom activities, which are often used to convey elementary and middle school concepts.
Test Preparation Instructor
A test preparation instructor prepares students for standardized tests, and a deep understanding of math fundamentals is crucial for success. This course, covering fractions, decimals, percentages, and ratios, may help strengthen the instructor's knowledge of these core concepts. The detailed examples and visual aids included in the lectures may provide valuable techniques for explaining complex topics clearly and concisely. The course's worksheets and quizzes offer a readily available resource for practice problems and assessing student progress. The instructor may adapt the course materials to create targeted test preparation exercises. The wide range of topics covered, from basic fraction operations to more advanced concepts like rational and irrational numbers, ensures the instructor is well-prepared to address any questions that may arise on the test.
Math Content Writer
A math content writer creates engaging articles or web pages that explain mathematical concepts, and a thorough grasp of core principles is essential. This course, focusing on fractions, decimals, percentages, and ratios, helps ensure the writer has a solid foundation in these key topics. The detailed examples and visual aids presented in the lectures may provide valuable insights into effectively explaining complex topics to a wider audience. The comprehensive nature of the course, designed for the 3rd to 7th-grade level, ensures the writer can address a variety of skill levels. The worksheets and quizzes offer valuable resources for understanding common student struggles and misconceptions. The course can also inspire creative content ideas.
Curriculum Developer
A curriculum developer designs educational materials, and a strong grasp of core mathematical concepts is key to creating effective content. This course, with its focus on fractions, decimals, percentages, and ratios, may serve as a valuable resource for understanding the nuances of these topics. The detailed examples and visual aids included in the lectures may offer inspiration for creating engaging and accessible learning materials. The course's comprehensive coverage, aimed at the 3rd to 7th-grade level, helps ensure that the curriculum developer has a thorough understanding of the subject matter and can tailor the content to the appropriate age group. The worksheets and quizzes may also provide a framework for assessing student understanding and tracking progress. The course's discussion of rational versus irrational numbers may also provide useful insight.
Educational Consultant
An educational consultant provides expert advice on teaching methods, and a solid understanding of math fundamentals is key to offering effective guidance. This course, focusing on fractions, decimals, percentages, and ratios, helps enrich the consultant's understanding of these core concepts. The detailed examples and visual aids presented in the lectures may provide valuable insights into effective teaching strategies. The course's comprehensive coverage, designed for the 3rd to 7th-grade level, allows the educational consultant to assess the effectiveness of existing curricula and recommend improvements. The worksheets, solutions and quizzes may also provide a framework for evaluating student understanding and tracking progress. The lessons on charts may also be helpful for creating visual presentations for clients.
Academic Coach
An academic coach supports students in improving their study habits and academic performance and a solid understanding of math fundamentals is essential. This course, covering fractions, decimals, percentages, and ratios, may help solidify the coach's understanding of these core concepts. The visual aids and detailed examples presented in the lectures may provide valuable techniques for explaining complex topics in a clear and engaging manner. The worksheets and quizzes provide readily available resources for practice problems and assessing student progress. The coach may adapt the course's materials to create personalized study plans and target specific areas of weakness. In the course, coaches may find an idea in the lectures.
Textbook Author
A textbook author creates educational materials that make complex subjects understandable, and a deep understanding of core concepts is essential. This course, focusing on fractions, decimals, percentages, and ratios, may help ensure the author has a solid foundation in these fundamental mathematical topics. The visual aids and detailed examples included in the lectures may provide inspiration for creating engaging and accessible explanations. The course's worksheets and quizzes offer a valuable resource for assessing student understanding and tailoring the content to the appropriate learning level. The course material, designed for the 3rd to 7th-grade level, covers a broad range of topics, from basic fraction operations to more advanced concepts like rational and irrational numbers, which may be relevant to inclusion in a math textbook.
Financial Literacy Educator
A financial literacy educator teaches individuals about managing money, and a solid understanding of percentages, ratios, and decimals is essential. This course, with its comprehensive coverage of these topics, may help strengthen the educator's knowledge base. The concepts covered, such as percentages and ratios, are directly applicable to real-world financial scenarios. The detailed examples and visual aids presented in the lectures may provide valuable techniques for explaining complex financial concepts, like interest calculations and investment returns. The course's content, designed for the 3rd to 7th-grade level, helps ensure the educator can explain these concepts in a clear and accessible manner. The sections on bar graphs and pie charts help show this information.
Financial Advisor
A financial advisor makes personal recommendations for clients, which demands a strong basis in mathematics. This course provides a solid foundation in the same. The financial advisor will be prepared to interpret ratios and percentages, which are very important for their job. This course may help the financial advisor to clarify topics for clients as well. Therefore, although the course is elementary, it may provide a strong basis for communication of mathematical concepts.
Data Analyst
A data analyst interprets and presents data using charts, graphs, and other tools. While advanced statistical methods are often used, a solid understanding of fundamental concepts like percentages, and ratios is essential for extracting meaningful insights. This course, which includes sections on percentages, ratios, pie charts, and bar graphs, may build a useful foundation for presenting data in a clear and understandable way. The course may help the data analyst to communicate effectively with stakeholders. The principles of rational versus irrational numbers may also prove useful.
Statistician
A statistician collects and analyzes data, which requires a strong foundation in math. While this course covers elementary topics like fractions and ratios, it may provide a review of fundamental concepts and their applications. The course's focus on fractions, decimals, percentages, and ratios may help the statistician to explain statistical concepts clearly to non-technical audiences. The sections on pie charts and bar graphs may also provide a very basic foundation for data visualization techniques. The understanding of rational versus irrational numbers may also prove useful.
Accountant
An accountant is responsible for preparing and analyzing financial records, a firm understanding of mathematics is paramount. Even basic roles depend upon fractions, decimals, percentages, and ratios. This course may prepare the accountant to think more deeply about math. The course goes over reading, writing, and comparing different forms and methods. It may provide background on how to teach mathematics to colleagues. The accountant is going to be adept at using fractions in their day to day tasks.

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 Fractions, etc..
Provides a clear and concise explanation of fractions, decimals, and percents. It includes numerous examples and practice problems to help students master the concepts. This book useful reference tool for students who need extra help with these topics. It is commonly used as a textbook at academic institutions.
Uses a story format to introduce fractions in a fun and engaging way. It helps to visualize fraction concepts and makes learning more accessible. This book is more valuable as additional reading than it is as a current reference. It is particularly useful for students who struggle with abstract concepts.

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