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Kieran Ball

This is a complete set of lessons made for students of any level and any age to learn all about fractions.

I start by looking at how to find a fraction of a whole number, and then lead onto further topics involving fractions, ending with a section full of mixed practice questions.

Each lesson is kept short and simple, so that even the busiest student can learn. All you have to do is watch one three-minute lesson a day, and you'll be amazed at how much you pick up and remember.

The topics covered include:

Read more

This is a complete set of lessons made for students of any level and any age to learn all about fractions.

I start by looking at how to find a fraction of a whole number, and then lead onto further topics involving fractions, ending with a section full of mixed practice questions.

Each lesson is kept short and simple, so that even the busiest student can learn. All you have to do is watch one three-minute lesson a day, and you'll be amazed at how much you pick up and remember.

The topics covered include:

  • Finding fractions of whole numbers

  • Adding fractions

  • Subtracting fractions

  • Multiplying fractions

  • Dividing fractions

  • Simplifying fractions

  • Improper fractions

  • Mixed fractions

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What's inside

Learning objectives

  • You will learn all about fractions, and how you can use them and manipulate them
  • You will learn to find fractions of whole numbers
  • You will learn to add fractions, subtract them, multiply and divide them
  • You will learn how to change fractions and put them into their simplest form
  • You will learn about the difference between improper fractions and mixed numbers and how to change between the two
  • You will also learn some hints and tips on how to recognise factors of numbers

Syllabus

Introduction
Lesson 34 - Practice questions
Fractions
Lesson 1 - Finding fractions of whole numbers
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Traffic lights

Read about what's good
what should give you pause
and possible dealbreakers
Provides a comprehensive introduction to fractions, covering topics from basic identification to more complex operations like multiplication and division
Emphasizes simplifying fractions, a foundational skill for more advanced mathematical concepts and problem-solving in various fields
Includes practice questions, which allows learners to reinforce their understanding and build confidence in working with fractions
Focuses on both improper and mixed fractions, which are essential for understanding more advanced algebraic concepts
Lessons are designed to be short, which may not be sufficient for learners who require more in-depth explanations or practice

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Reviews summary

Short bite-sized fractions basics

According to inferred student feedback, learners appreciate the short, bite-sized 3-minute lessons which make the course easy to fit into a busy schedule. This format is seen as perfect for beginners or those needing a quick refresh of fundamental concepts. Inferred feedback suggests the explanations provided for basic fraction operations like adding, subtracting, multiplying, and dividing are clear and simple. However, for those with existing knowledge, the course lacks depth and may be considered too simple for experienced learners. Some inferred feedback indicates the short nature of the lessons means the pacing can feel rushed when covering certain topics. Overall, it seems well-suited for its intended audience but not beyond.
Includes practice exercises.
"There are practice questions to test your understanding."
"The practice section is helpful."
"Could use more practice examples."
Concepts are explained simply.
"The explanations are easy to follow."
"Complex ideas are broken down well."
"Everything is presented in a simple way."
Excellent for learning fraction basics.
"I needed a refresher on fractions and this was perfect."
"Great course if you are just starting with fractions."
"Really helps build a fundamental understanding."
Lessons are brief and easy to follow.
"The 3-minute videos are perfect for quick learning."
"I can watch a lesson or two even on a busy day."
"This format makes learning fractions less intimidating."
Short lessons can feel rushed.
"Sometimes I felt the explanation was too quick."
"Had to pause and rewatch because of the pace."
"Trying to fit it in 3 minutes makes it feel a bit rushed."
May be too basic for some learners.
"If you know more than the very basics, this is too simple."
"Doesn't cover advanced topics or variations."
"The lessons are too short to go into detail."

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 3 Minute Maths - Fractions with these activities:
Review Multiplication Tables
Strengthen your multiplication skills to prepare for multiplying and dividing fractions.
Show steps
  • Practice multiplication tables from 1 to 12.
  • Use online resources or flashcards for review.
Review: Visual Fractions
Enhance your understanding of fractions with a visual learning approach.
Show steps
  • Obtain a copy of the book 'Visual Fractions'.
  • Read the chapters related to the topics covered in the course.
  • Pay attention to the diagrams and visual aids to understand the concepts.
Review: Fractions, Decimals & Percents, Grades 5-6
Reinforce your understanding of fractions with a targeted workbook.
Show steps
  • Obtain a copy of the workbook.
  • Work through the exercises related to the topics covered in the course.
  • Check your answers and review any areas where you struggled.
Four other activities
Expand to see all activities and additional details
Show all seven activities
Fraction Simplification Exercises
Improve your ability to simplify fractions through repetitive exercises.
Show steps
  • Find worksheets with fraction simplification problems.
  • Work through the problems, focusing on finding the greatest common factor.
  • Check your answers and review any mistakes.
Peer Tutoring Session on Fractions
Deepen your understanding by explaining fraction concepts to a peer and working through problems together.
Show steps
  • Find a classmate or friend who is also learning about fractions.
  • Take turns explaining different fraction concepts to each other.
  • Work through practice problems together, helping each other when needed.
Create a Fraction Cheat Sheet
Consolidate your knowledge by creating a reference sheet with key fraction concepts and formulas.
Show steps
  • Summarize the rules for adding, subtracting, multiplying, and dividing fractions.
  • Include examples of simplifying fractions and converting between mixed and improper fractions.
  • Organize the information clearly and concisely.
Fraction Problem Generator
Create a tool that generates random fraction problems to test your skills and understanding.
Show steps
  • Design a simple program or spreadsheet that can generate random numbers for numerators and denominators.
  • Implement the rules for creating different types of fraction problems (addition, subtraction, multiplication, division, simplification).
  • Test the generator to ensure it produces valid and challenging problems.

Career center

Learners who complete 3 Minute Maths - Fractions will develop knowledge and skills that may be useful to these careers:
Math Teacher
A math teacher needs a deep understanding of core math concepts, and fractions are a foundational element of mathematics. This course may be helpful in refining your understanding of fractions, which include simplifying, adding, subtracting, multiplying, and dividing them. Moreover, the course's focus on mixed and improper fractions may assist a math teacher in developing clear and engaging explanations for students. The course's structure, with short lessons, may also inspire a teacher to create concise and effective instructional materials for the classroom.
Tutor
A tutor often works with students of all ages, guiding them through tricky mathematical concepts. A mastery of fractions is essential for many areas of mathematics, and a firm grasp of the topics covered in this course, such as adding, subtracting, multiplying, and dividing fractions, will help you explain these ideas clearly to others. This course provides a structured approach to understanding fractions, which may help a tutor design effective lessons and address common student misunderstandings, especially in the area of simplifying fractions and converting between improper and mixed fractions.
Curriculum Developer
A curriculum developer designs educational materials, and understanding the building blocks of mathematics is very important. This course, which covers a comprehensive range of fraction-related topics, including simplifying, adding, subtracting, multiplying, and dividing fractions, may be helpful in ensuring that educational content is both accurate and accessible. Specifically, topics like improper and mixed fractions play a key role in various mathematical applications and should be accurately presented. This course offers a clear articulation of these, which should inform the work of a curriculum developer.
Educational Content Creator
An educational content creator produces learning materials for various platforms, and must know the ins and outs of the subject they teach. This course's clear presentation of fraction operations, including simplifying, adding, subtracting, multiplying, and dividing fractions, may inspire an educational content creator to develop similarly clear and focused content. The lessons on improper and mixed fractions provide valuable context for ensuring accuracy and promoting better understanding in the educational material developed. The short lesson format may also serve as a model for creating engaging, bite-sized content.
Test Preparation Specialist
A test preparation specialist helps students prepare for standardized tests, which often include questions involving fractions. The comprehensive coverage of fraction operations such as simplifying, adding, subtracting, multiplying, and dividing fractions within this course may help a test preparation specialist to accurately assess student understanding and provide effective strategies for solving problems. The course also delves specifically into improper and mixed fractions, which is an area where students often struggle, making it particularly useful for instructors. The practice questions included in the course may provide a great resource.
Instructional Designer
An instructional designer creates learning experiences and materials, and a firm grasp of subject matter is key to developing good content. This course may help an instructional designer to better understand the intricacies of fractions, including simplifying, adding, subtracting, multiplying, and dividing, as well as converting between mixed and improper fractions. The course’s approach of dividing the content into short, focused lessons may also inform an instructional designer about effective strategies to structure learning experiences for optimal comprehension and retention.
Math Consultant
A math consultant provides expert advice on mathematical problems, and must have a rock-solid understanding of the fundamentals. This course's detailed exploration of fractions, including simplifying, adding, subtracting, multiplying, and dividing, as well as handling improper and mixed fractions, may help math consultants improve their foundational knowledge. The course's focus on problem solving and practice questions can provide a consultant with concrete examples to work with.
Statistician
A statistician works with data and probabilities, and this may involve using fractions, proportions and ratios. A statistician must have a solid foundation in math, and while fractions are elementary, this course may be useful in sharpening the most basic skills. The course includes topics like simplifying fractions, converting between mixed and improper fractions, and performing arithmetic operations on fractions, which could be a useful refresher for someone in this field.
Financial Analyst
Financial analysts often work with fractional and proportional data when creating reports and analyzing market trends, thus, a command of fractions may be useful. This course may be useful in solidifying a financial analyst's understanding of how to manipulate and interpret fractional values. While more advanced math is typically used, a good grasp of the basics can be helpful. Concepts such as simplifying fractions can be useful in quickly estimating values, which can come in handy when dealing with financial data.
Data Analyst
A data analyst deals with data, and some of this data may be in the form of fractions, proportions, and percentages. This course may be helpful by providing a stronger foundation in manipulating fractional values. A data analyst must be precise, and this course's coverage of simplification, adding, subtracting, multiplying, and dividing fractions, as well as working with mixed and improper fractions, may provide a useful framework for dealing with data in a reliable way. This course can only help
Accountant
Accountants deal with numbers and proportions, and fractions are a common way of expressing partial values. This course, while focused on the basics of fractions, may help an accountant to solidify their foundational mathematical knowledge, particularly in areas such as simplifying fractions and converting between mixed and improper forms. This course can be a quick refresher to ensure precision when working with fractional values, which occurs frequently in accounting tasks.
Software Developer
Software developers often use mathematical concepts to solve problems, and this may include understanding how to convert fractions and perform arithmetic operations on them. While software development often involves more advanced math topics, this course's focus on fractions may be useful in building a strong logical foundation, along with the practice questions provided. Specifically, the course may give a developer a firmer understanding of how arithmetic manipulation works, which can be helpful in ensuring code functions properly.
Research Assistant
A research assistant may encounter fractions of values, and should be competent in dealing with these. While the work of a research assistant typically requires advanced knowledge, this course, which covers the basics of fractions, may be useful in creating a strong foundation for someone new to the world of research. The topics presented, including adding, subtracting, multiplying, dividing, and simplifying fractions, can assist a research assistant in their work.
Business Analyst
Business analysts often work with data and require a basic understanding of how to work with numerical information, and fractions are a basic format of numerical information. While their work may not focus directly on the manipulation of fractions, a business analyst may find a course like this to be a useful refresher to ensure a rock solid foundation. This course's comprehensive coverage of fraction operations may build confidence in handling numerical data.
Project Manager
A project manager often deals with resource allocation, schedules, and budgets, all of which can involve fractions or proportions. While the work of a project manager doesn't directly focus on the math of fractions, a project manager must be able to understand and interpret fractional values. This course may be helpful in ensuring a solid base of understanding when dealing with fractions and part-to-whole relationships. For example, a project manager may find the course helpful in estimating the proportion of time spent on a particular task.

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 3 Minute Maths - Fractions.
Uses visual aids and diagrams to explain fraction concepts, making it easier for visual learners to grasp the material. It covers a wide range of topics, including equivalent fractions, comparing fractions, and operations with fractions. The visual approach can be particularly helpful for students who struggle with abstract mathematical concepts. It serves as a valuable supplementary resource for reinforcing understanding and building confidence.
This workbook provides a comprehensive review of fractions, decimals, and percents, reinforcing the concepts taught in the course. It offers numerous practice problems and real-world applications to solidify understanding. The book is particularly helpful for students who need extra practice or a more structured approach to learning fractions. It can be used as a supplementary resource to enhance the learning experience.

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