Welcome to Clip from Spiral logo

Interactive video lesson plan for: How do you use the difference quotient with fractions? (KristaKingMath)

Activity overview:

Finding the difference quotient when your function is a fraction can be confusing, but there's actually a really easy way to handle it!

You'll need to find the difference quotient the same way you would for any other kind of non-fraction function, to start. The thing that makes these problems tricky is that, when you do that, you'll end up with "little fractions" inside of a "big fraction".

The trick to getting rid of those little fractions is to multiply both the numerator and denominator of the big fraction by the common denominator of the little fractions. That way, you'll get the fractions to cancel out in one simple, quick step.

Then you'll just be able to multiply out and simplify the numerator, and then hopefully cancel out an "h" from the numerator and denominator. This is a process that will work every time when you're trying to find the difference quotient for a fraction.

● ● ● GET EXTRA HELP ● ● ●

If you could use some extra help with your math class, then check out Krista’s website //


Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here:


Tagged under: calculus,fractions,big fraction,common denominator,difference quotient fractions,difference quotient,Krista King,educational, fractions

Clip makes it super easy to turn any public video into a formative assessment activity in your classroom.

Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip

Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans

Play this activity

1. Students enter a simple code

2. You play the video

3. The students comment

4. You review and reflect

* Whiteboard required for teacher-paced activities

Share on:

Share How do you use the difference quotient with fractions? (KristaKingMath) on Google+ Share How do you use the difference quotient with fractions? (KristaKingMath) on Twitter Share How do you use the difference quotient with fractions? (KristaKingMath) on Facebook Pin How do you use the difference quotient with fractions? (KristaKingMath) Email How do you use the difference quotient with fractions? (KristaKingMath)

Ready to see what else Spiral logo can do?

With four apps, each designed around existing classroom activities, Spiral gives you the power to do formative assessment with anything you teach.


Carry out a quickfire formative assessment to see what the whole class is thinking


Create interactive presentations to spark creativity in class

Team Up

Student teams can create and share collaborative presentations from linked devices


Turn any public video into a live chat with questions and quizzes

1000s of teachers use Spiral to deliver awesome, engaging activities that capture students' understanding during lessons.

Now it's your turn Sign up

Spiral Reviews by Teachers and Digital Learning Coaches

Review of Spiral by teacher: Kathryn Laster @kklaster

Tried out the canvas response option on @SpiralEducation & it's so awesome! Add text or drawings AND annotate an image! #R10tech

Review of Spiral by teacher: Room 220 Math Stars @3rdgradeBCE

Using @SpiralEducation in class for math review. Student approved! Thumbs up! Thanks.

Review of Spiral by teacher: Miss Ord @ordmiss

Absolutely amazing collaboration from year 10 today. 100% engagement and constant smiles from all #lovetsla #spiral

Review of Spiral by teacher: Adam J. Stryker @strykerstennis

Students show better Interpersonal Writing skills than Speaking via @SpiralEducation Great #data #langchat folks!

Review of Spiral by teacher: Dr Ayla Göl @iladylayla

A good tool for supporting active #learning.

Review of Spiral by teacher: Brett Erenberg @BrettErenberg

The Team Up app is unlike anything I have ever seen. You left NOTHING out! So impressed!

Get the Clip Chrome Extension & Create Video Lessons in Seconds

Add Clip to Chrome