FRACTION OPERATIONS for
real understanding
Fill in the gaps & help students truly understand
~ not just memorize steps
Do your 5th–7th graders come in missing fraction skills they were “supposed” to have mastered already?
If you’re constantly backtracking to reteach fraction concepts before you can even move forward, you’re not alone.
If your students memorize fraction operation steps but mix them up or forget them later, it’s time for a change.
Mastering Fraction Operations: From Foundations to Operations helps you address those critical gaps without starting over from scratch.
Mastering Fraction Operations: From Foundations to Operations
- Learn EVERYTHNG you need to know about teaching fraction operations for UNDERSTANDING .
- Learn to use fraction strips, number lines, word problem contexts, and more to teach fraction addition, subtraction, multiplication, and division (AND some basic fraction concepts).
- Experience your own “Aha” moments about fraction operations.
This program includes a targeted review of essential fraction basics, and then shows you how to weave visual models and number sense strategies into fraction operations, so your students can strengthen their foundation while mastering addition, subtraction, multiplication, and division with fractions.
- No more shortcuts that lead to confusion later.
- Just real strategies that help make fractions click!
PD at Your Own Pace
Training PLUS Classroom-Ready Resources
- Over $100 in student activities and classroom resources ~ including exclusive resources, like fraction math dates and fraction spiral review, that aren't offered anywhere else
- 6 modules with 30+ video lessons (10-15 min each)
- Step-by-step strategies for teaching fraction operations conceptually & algorithmically
- 90-page teacher workbook & notes pages
- 45 pages of student practice problems ~ aligned with the lessons so you can use them immediately
- IMMEDIATE and LIFETIME access ~ go at your own pace and revisit any time
- Strategies & materials for incorporating fraction concepts and operations throughout the year
- 12-hr professional development certificate
Why do Teachers Want This Program?
- Many math teachers I’ve worked with felt unprepared to teach fraction operations, much less teach them with a conceptual approach.
- They have taught just ‘rules,’ and shortcuts, NOT KNOWING there’s a different way.
- In the book, Number Talks, Fractions, Decimals, and Percentages, the authors cite a study by Li and Smith (2007) that states:
- 93% of prospective middle school teachers could solve 7/9 ÷ 2/3 procedurally
- BUT only 52% could correctly answer ‘How many 1/2s are in 2/3?’
- They concluded that teachers’ lack of conceptual understanding affects students’ understanding of what fraction division means.
WhY Teachers Say “Yes” to This Program:
- They want to help their students develop flexible fraction thinking so they feel confident and successful with fractions.
- They want their students to UNDERSTAND basic fraction concepts and fraction operations.
- They want to spend LESS TIME reteaching and remediating.
- They want to be knowledgeable about their content.
BE READY When Fraction Struggles START
- Many of us wait until we’re in the middle of the fraction unit—or until fractions show up unexpectedly—before scrambling to find strategies and materials. Believe me, I've been there!
- Let’s face it, fractions show up every year, at every grade level! We might figure we’ll get all the information and materials ourselves, from different sources if we need to, BUT:
- Pulling strategies together from books, websites, and articles takes serious time. And creating your own student materials on top of that? Nearly impossible during the school year.
- Even with the best intentions, you may not have time to build a solid fraction toolbox—so you’re stuck doing last-minute searches and patching things together.
- If you're like many math teachers, you want to feel confident in your content and have proven strategies ready to go.
What Teachers Say About This Fraction Operations Program
New AND veteran math teachers, instructional coaches, and special education teachers have all benefitted from this program in so many ways. Here’s what they say.
Save Your Time!
- Take advantage of all the time I’ve spent researching and creating materials to help you teach fractions and fraction operations.
- Work through the program at your own pace and come back to the 30+ video lessons AS OFTEN AS YOU WANT to review the content before you’re ready to teach it.
Select Each Module Image for Information About the Module
The module descriptions are brief overviews of the modules.
M 1: Fraction Basics (5 Lessons)
Including but not limited to: converting mixed numbers & improper fractions, simplifying and comparing fractions, equivalent fractions.
Why the basics? Because students ‘should’ know them by 4th grade, BUT students still have difficulty in 5th, 6th, 7th grades.
It’s a huge benefit to have these strategies in your teaching toolbox.
M 2: Add & Subtract Fractions w Unlike Denominators (6 Lessons)
~ Exploring the butterfly method, why NOT to use it and what to do if students have already learned it
~ Exploring the meaning of fraction addition and subtraction
~ Estimating and why we need to use it
~ Using various models and number lines
M3: Subtracting Mixed Numbers (4 Lessons)
~Laying the ‘groundwork’ – exploring ways to solve
~3 methods for subtracting mixed numbers
Why 3 methods? Because students’ ‘Aha moments’ happen with different methods, so we want to have as many methods in our toolbox as we can
M4: Multiply Fractions and Mixed Numbers (5 Lessons)
~ Exploring the meaning of fraction multiplication
~ Using different representations and number lines to develop meaning
~ Multiplying fractions by fractions, whole numbers, mixed numbers
~ Word problem contexts
M 5: Dividing Fractions & Mixed Numbers (5 Lessons)
~ Exploring the meaning of fraction division
~ Exploring division with common denominators, transitioning to using reciprocals
~ Using different representations and number lines to develop meaning
~ Word problem contexts
M 6: Fitting it All In (4 Lessons)
~ Fractions in other contexts (measurement, equations, ratios, coordinate plane and more)
~ Additional resources for you
~ Strategies for fitting fractions in ALL year
Is this Fraction Operations Program Right for You?
- This program is meant for you if...
- You've been teaching fraction 'rules'~ but they aren’t working, and students are still struggling.
- You’re tired of searching the internet, looking for fraction tips and piecing together resources on your own
- You need effective, classroom-ready tools to close students' fraction learning gaps
- You’re looking for new, practical strategies to teach ANY of the fraction operations
- You want to see your students’ truly understand fraction operations, not just memorize steps
- You’re ready to ‘weave’ fraction thinking into your lessons beyond just the fraction unit
- You're committed to growing as a math teacher and want strategies that make a lasting impact
- You're a homeschooling parent looking for expert guidance on teaching fraction operations effectively
- 💡 If any of these sound like you, this program will give you the tools, strategies, and confidence to transform how you teach fractions!
Frequently Asked Questions
If you have a question that isn’t listed, please email me ~ ellie@cognitivecardiomath.com
How is this program presented?
The program is a video format, with prerecorded vides for each lesson, so you can complete the modules at your own pace.
The course is accessed here on the cognitivecardiomath.com site.
What if I don't teach all the fraction operations? Is this for me?
Yes! Maybe you’re only 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.
If you’re an instructional coach, this is definitely for you!
How long will I have access to the program content?
As long as the program exists (the lifetime of the program).
I'd like to help my child with fractions and fraction operations, or am homeschooling. Would this program be helpful?
Definitely! If you’re a parent supporting a child who would benefit from supplemental work with fraction concepts (or if you’re a homeschooling parent), this program will be helpful.
Do you accept purchase orders?
Yes. Please email me at ellie@cognitivecardiomath.com so we can get the important information to your school!
Will I be able to access the program materials right away?
Yes! All modules are available as soon as you enroll; you can access all lessons and resources immediately.
What if I have questions during the program?
Each lesson in the program has a link to a Google form where you can ask questions. You can submit questions through the form or you can email me.
Will I receive a certificate of completion?
Yes! When you finish the program, you’ll receive a certificate showing you completed 12 hours of online learning.
Total Value Of The Program: Over $425!
- 6+ Hours of PD Training ~ $250+
- 90-page Teacher Workbook ~ $25
- 45 Pages of Student Practice ~ $25+
- $75+ in classroom resources ~ $75 Value
- PLUS 4 Bonus Videos (~70 min) about teaching additional concepts ~ $50
- LIFETIME Access & 12-Hour PD Certificate
- Total value over $425 ~ Yours for just $47
Yes! Give Me Lifetime Access!
One payment of $47
When you enroll, you’ll have immediate access to all the modules and materials!
**This course is currently unavailable.
I hope to see you in the program!
I can’t wait to share the strategies that helped my students. I’m excited to provide you with everything you need to help your students and save you precious planning time during the year! Let’s get started on this fraction journey together:-)