Folder Free eBooks by Bob Albrecht

pdf Play Together, Learn Together: Factor Monster

25 downloads

Factor Monster is our name for a classic game about natural numbers, composite numbers, prime numbers, factors and proper factors. The original game is called The Factor Game - you can find it on the Internet.

We have gone way beyond The Factor Game and built a system of games, including

Factor Monster Try for High Games
Factor Monster Go for Low Games
Factor Monster Tie Quest Games
Factor Monster Symmetric Games
Designing strategies for playing Factor Monster Games

This eBook also contains much ado about sequences, series and sums of consecutive natural numbers (triangular numbers).

Our friend Elucidatus Quadraticus demonstrates how to:

Derive the formula 1 + 2 + 3 + . . . + n = n(n + 1)/2.
Prove that the formula 1 + 2 + 3 + . . . + n = n(n + 1)/2 is true.
Determine if a natural number is or is not the sum of consecutive natural numbers (a triangular number).
Solve quadratic equations in various ways, including factoring and using the quadratic formula.

This eBook abounds with ideas for investigations by your students. Factor Monster is a never-ending source of enquiries yet to be done!

Reality expands to fill the available fantasies.

document Play Together, Learn Together: Factor Monster

18 downloads

Factor Monster is our name for a classic game about natural numbers, composite numbers, prime numbers, factors and proper factors. The original game is called The Factor Game - you can find it on the Internet.

We have gone way beyond The Factor Game and built a system of games, including:

Factor Monster Try for High Games
Factor Monster Go for Low Games
Factor Monster Tie Quest Games
Factor Monster Symmetric Games
Designing strategies for playing Factor Monster Games

This eBook also contains much ado about sequences, series and sums of consecutive natural numbers (triangular numbers). 

Our friend Elucidatus Quadraticus demonstrates how to:

Derive the formula 1 + 2 + 3 + . . . + n = n(n + 1)/2.
Prove that the formula 1 + 2 + 3 + . . . + n = n(n + 1)/2 is true.
Determine if a natural number is or is not the sum of consecutive natural numbers (a triangular number).
Solve quadratic equations in various ways, including factoring and using the quadratic formula.

This eBook abounds with ideas for investigations by your students. Factor Monster is a never-ending source of enquiries yet to be done!

Reality expands to fill the available fantasies.

pdf The Incredible Doubling Lily Pad

231 downloads

This eBook is a fantasy about an old math problem involving a lily pad floating in a pond. The lily pad doubles in size each day or second or other time period and eventually covers the pond. Look for it on the Internet by using search keys such as 'lily pad pond double size'.

Fantasy #1. The lily pad doubles in size every day. In 30 days, the length of the lily pad's diameter grows to 27 times Earth's equatorial circumference, 2.79 times the distance of the Moon from Earth.

Fantasy #2.  The lily pad doubles in size every second. In 60 seconds, the length of the lily pad's diameter grows to 7.7 million AU (astronomical units), 122 ly (light years), farther than stars Alpha Centauri, Sirius, Castor, Pollux, Vega, Altair, and the stars of the Big Dipper. Astronomically awesome! There are more fantasies in this eBook.

Reality expands to fill the available fantasies.

document The Incredible Doubling Lily Pad

212 downloads

This eBook is a fantasy about an old math problem involving a lily pad floating in a pond. The lily pad doubles in size each day or second or other time period and eventually covers the pond. Look for it on the Internet by using search keys such as 'lily pad pond double size'.

Fantasy #1. The lily pad doubles in size every day. In 30 days, the length of the lily pad's diameter grows to 27 times Earth's equatorial circumference, 2.79 times the distance of the Moon from Earth.

Fantasy #2.  The lily pad doubles in size every second. In 60 seconds, the length of the lily pad's diameter grows to 7.7 million AU (astronomical units), 122 ly (light years), farther than stars Alpha Centauri, Sirius, Castor, Pollux, Vega, Altair, and the stars of the Big Dipper. Astronomically awesome! There are more fantasies in this eBook.

Reality expands to fill the available fantasies.

pdf Measurement & Modeling: Snoopy and the Red Baron

393 downloads

This eBook is intended for teachers, tutors, and others who help learners learn math and science. We think that measurement and modeling is

  • a big chunk of the foundation of math and science
  • a great way to teach math and science
  • a terrific tool/toy for integrating math and science

We once lived in Sonoma County, California, home of Charles Schulz, creator of PEANUTS and its characters Charlie Brown, Snoopy, Lucy, Linus, Schroeder, Peppermint Patty, et al. In this eBook, we reminisce and suggest playing with scale models of Snoopy's Sopworth Camel and Red Baron's Fokker Dr. 1 triplane.

Reality expands to fill the  available fantasies.

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