# Interactive video lesson plan for: Optimization Calculus Problems Minimizing Lengths READ DESCRIPTION

#### Activity overview:

Examples: Minimizing Perimeter for Fixed Area 2:25
Distance from Point to Parabola Method 1 16:45
Distance from Point to Parabola Method 2 30:14
Minimizing Hypotenuse through a point Right Triangle 35:23
At minute 23:38 I should have started some scratch work on the side so it did not look like I forgot the radical. While I verbally said I was going to focus on minimizing the inside function to simplify my work, I should not have labelled this last line as d'. I am only finding the derivative of the inside function. If you minimize the inside function, you will minimize the distance. Focusing on just the inside function for this part of the problem minimizes the difficulty. A note about the end of the first example. Closest Point on Parabola is (3,f(3))
Relative Min for Distance is function is (3,4.123).

There are some annotations in this lesson so make sure you are using FLASH.

Optimization problems involving Volume

Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com

Tagged under: Mathematical Optimization,Calculus (Concepts/Theories),optimization,optimize,calculus,minimize length,maximize,minimize perimeter,maximize area,minimize,hypotenuse,distance,point,function,tarrou,tarrou',chalk,talk,profrobbob,Mathematics Education (Website Category),math,education,examples,free,lecture,notes,math lesson,optimization problem,optimization calculus

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!