Fractions: From Foundations to Operations
Methods and materials to teach fraction operations for meaning
Methods and materials to teach fraction operations for meaning
You CAN help your students feel comfortable with fractions!
Without feeling
Or do you feel like fractions are a nightmare?
Every time they pop up, your students might freeze and say things like
And then, maybe they give up. They write something on their paper that has fractions in it and they try to move on.
OR, they beg to use the calculator (even if they aren’t quite sure HOW to enter the problem into the calculator).
And sometimes, being frustrated, you do let them just use the calculators, because you have to move on…..you have SO much to cover…you don’t have time to get to the root understandings of all the fraction things….and the students will eventually use the calculators for fractions anyway.
If your 5th, 6th, 7th, or even 8th-graders are having trouble with fraction operations, it’s time to switch things up.
For starters, there’s a good chance you were never taught HOW to teach fractions and fraction operations!
A survey of math teachers revealed that their undergraduate programs didn’t really prepare them to teach math in general, much less prepare them to teach fraction operations with a conceptual approach.
Many teachers stated that they learned how to teach math from other teachers….and when you’re a new teacher, it can be easier to just teach the way they other teachers are teaching……there’s so much to get used to when you start teaching.
But are other teachers' fraction operations methods teaching students procedures or concepts?
In Number Talks, Fractions, Decimals, and Percentages, the authors cite a study by Li and Smith (2007) that stated:
Truthfully, many students struggle with fractions or fraction operations at some point.
You probably see this struggle every year.
(And the past couple of years have NOT helped!)
One study of Algebra 1 students (81% of whom had strong parental support) found:
If students are taught procedurally rather than conceptually, they can easily get confused as they learn about new operations.
And many of your students may have been taught with just procedures before they came to you.
BUT, it's not too late to help your upper elementary and middle school math students get on the right track with their fractions.
…you’re in the right place.
Before I share all the details, you're probably wondering if this course is a good fit for you.
This course is for you if you're an upper elementary or middle school math teacher and...
" I am the Middle School Math Instructional Coach for a small K-8 district and will definitely be sharing these two methods with our teachers. Thank you for this course!"
35 video lessons covering:
90-page course workbook
45-page student workbook
12 Hour Professional Development Certificate
Including representations along with computation when teaching fraction operations, relying less on just teaching the 'rules'
Activities that help students explore fractions and fraction operations to find meaning.
Weaving fractions into class when you aren't 'teaching fractions,' to reduce time gaps student often experience before getting back to fractions at a new grade level.
Methods and materials to address students' gaps and difficulties with basic fraction concepts.
Welcome!
How to use this course
M1 L1: Introduction to Teaching Fraction Operations
M1 L2: Improper Fractions and Mixed Numbers
M1 L3: Using the Ladder Method
M1 L4: Comparing Fractions
M1 L5: Simplifying Fractions: 3 Methods
Module 2 Overview
M2 L1: Eliminate the Butterflies
M2 L2: Fraction Addition & Subtraction: What Does It Mean?
M2 L3: Estimating
M2 L4: Finding Least Common Denominator – Three Methods
M2 L5: Adding & Subtracting Unlike Fractions
M2 L6: Adding Mixed Numbers
Module 3 Overview
M3 L1: Subtracting with Mixed Numbers "Groundwork"
M3 L2: Using Partial Differences
M3 L3: Subtracting with Regrouping
M3 L4: Subtracting With Improper Fractions
Module 4 Overview
M4 L1: Fraction Multiplication: What Does it Mean?
M4 L2: Multiplying Whole Numbers and Fractions
M4 L3: Multiplying Fractions by Fractions
M4 L4: Multiplying Fractions and Mixed Numbers
M4 L5: Multiplying Mixed Numbers by Mixed Numbers
Module 5 Overview
M5 L1: Fraction Division: What Does it Mean?
M5 L2: Dividing Whole Numbers and Fractions
M5 L3: Common Denominators to Reciprocals
M5 L4: Dividing Fractions by Fractions
M5 L5: Dividing Mixed Numbers
M6 L1: Summary of Operations
M6 L2: Fractions in Other Contexts
M6 L3: Resources & Fitting Fraction Concepts In
Closing Lesson
QA Session Links
QA Session 1
QA Session 2
QA Session 3
QA Session 4
The first teachers are finishing up this course and this is what they have to say...
This course is excellent for anyone who teaches middle school math. Whether a new teacher or seasoned veteran, there are great ideas and excellent goodies to...
Read MoreThis course is excellent for anyone who teaches middle school math. Whether a new teacher or seasoned veteran, there are great ideas and excellent goodies to use in the class.
Read LessWhether you are new to teaching fractions, are just looking for a better understanding of fractions and teaching them, or just need a good refresher. This c...
Read MoreWhether you are new to teaching fractions, are just looking for a better understanding of fractions and teaching them, or just need a good refresher. This course is great from beginning to end.
Read LessThis course covered everything from basics to complex. The speed of the course was perfect, especially since you could stop/review as needed. I appreciate th...
Read MoreThis course covered everything from basics to complex. The speed of the course was perfect, especially since you could stop/review as needed. I appreciate the additional resources AND the ability to come back to refresh!
Read LessOver 25 student resources to help you implement methods from the course.
These include:
AND two special resources for incorporating fractions on a daily basis:
Four bonus vidoes with over an hour of additional content:
Each lesson includes a prerecorded video, with teaching strategies and examples. Note-taking guides are provided for each lesson, along with student versions of the examples used in lessons.
Yes. Please email me at ellie@middleschoolmathmoments.com.
Yes! You may only be required to teach fraction division (as I did in 6th grade), but you may end up reteaching addition, subtraction or multiplication when students encounter fractions in other contexts (like solving equations). You may have NO fraction operation instruction in your curriculum, but still find that you need to teach them in 'non-fraction' contexts.
Yes! When you finish the course, you'll receive a certificate showing you completed 12 hours of online learning.
Yes! All modules will be available as soon as you enroll and you can access any lessons and resources immediately.
I am always available, via email or in the course discussion area on Thinkific.
Definitely! If you're a parent supporting a child who would benefit from supplemental work with fraction concepts (or you're a homeschooling parent), this course will be helpful.
I hope you'll love this course, but if you work through the first module or two and feel the course just isn't right for you, you can receive a refund within 7 days of purchase.