# Interactive video lesson plan for: Where is the function INCREASING AND DECREASING?! (KristaKingMath)

#### Activity overview:

► My Applications of Derivatives course: https://www.kristakingmath.com/applications-of-derivatives-course

Figuring out where a function is increasing and decreasing is part of any optimization problem. A function is increasing wherever it is moving up as you move from left to right. A function is decreasing wherever it is moving down as you move from left to right.

If we want to figure out where a function is increasing and decreasing, we need to take the first derivative of the original function, then set it equal to 0 and solve for x. This will give us the potential critical points of the function, which are the points at which the function may change direction from increasing to decreasing, or vice versa.

In order to characterize the function's increasing/decreasing behavior, we have to use the first derivative test to test each interval between the critical points. If the values we test on either side of the critical point return a positive value, then the function is increasing on that interval. Otherwise, if the result is a negative value, then the function is decreasing on that interval.

● ● ● GET EXTRA HELP ● ● ●

If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com

● ● ● CONNECT WITH KRISTA ● ● ●

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: http://www.kristakingmath.com

INSTAGRAM // https://www.instagram.com/kristakingmath/
PINTEREST // https://www.pinterest.com/KristaKingMath/
QUORA // https://www.quora.com/profile/Krista-King

Tagged under: decreasing,increasing,derivatives, ,optimization,expert,increasing decreasing,educational,Krista King,calculus,critical points,calculus expert, derivative test

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

## Ready to see what elsecan do?

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

Quickfire

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

Discuss

Create interactive presentations to spark creativity in class

Team Up

Student teams can create and share collaborative presentations from linked devices

Clip

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

### Spiral Reviews by Teachers and Digital Learning Coaches

@kklaster

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

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

@ordmiss

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

@strykerstennis

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