You are about to discover why
A = πr²


Problem Solving Level 1 Bks 1-10 PDFs now for available for sale!!!

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Module IV

The page on the other side of this only has five videos on it. But just two of them individually are worth the price of a password.

No kidding.

This derivation of πr² is rarely taught to students, or even to teachers. Most of the time when I show this to teachers they have never seen it. I have never shown this to a student who had already seen it in 25 years of doing this.

Not once.

I need to make a more step by step video showing all the different things you need to do to get to this point but for now these short vids will have to do.

The few minutes you spend here may well clear up a lot of confusion and give you a few "a-ha" moments.  If you are a teacher these vids should give you a few ideas. I have taught this to 3rd graders without much difficulty, but as the video says it will take you hours of preparation to get here.

Here is a Pre-view:



I also put a bonus video on the page, from a guy who makes videos on YouTube that have animations That very much resemble based 10 blocks. He mentions several times in his video series that a good way to visualize multiplication is by thinking about area.  He also shows you the derivation of πr² with cool animation.  His derivation is completely different than mine. I've always said you should know how to do something more than one way. On the next page you get two great explanations that should help you attain greater understanding...And get you ready for calculus.

I hope you support his channel "3Blue1Brown."   He has over 1 million subscribers. Many of his videos are priceless. But he has many videos and the one that's on the next page might be difficult to find...

Want to see more free pages & lessons & other free stuff on this site?

Here's My Patreon:

Consider a dollar a month.  This will also allow me to volunteer my time.

Note: from time to time the passwords change. Simply e-mail me for a new one or a new passport as the case may be. Annual passes are good for one year, lifetime passes are good for as long as the site remains up, (site has been up for eight years now).  All single page passwords have lifetime renewal.

Note: Most Mortensen Product Ordering Buttons Have Been Removed Due To Shipping/Inventory Issues. Contact for ordering information and product availability.

Want to see more free pages & lessons & other free stuff on this site?

Here's My Patreon:

Consider a dollar a month.  This will also allow me to volunteer my time.

NEW! Passwords have been that re organized into modules. PASSWORD INFO ← Click to find out more.

Already have Passwords but they don't work anymore? Hit the Contacts Tab and email me at gmail for the new ones.

Passwords have changed as of 15May, 2019.

The superduper supersecret math page on Facebook is NOT FREE. Just pay a one time entrance fee Of $27.50 for lifetime members, or $49.00 If you are "new."

**If you buy the Oct 5th training replay, you also get access to the Facebook page.

People are shocked and amazed when they see how much they get for a password. 50 bucks goes a long way at the house of math.