Sam and I were going to continue our discussion and reading of the novel.

Samantha is not here today! I hope she gets better soon!

The plan was to introduce Samantha to various theorems and strategies for solving polynomial equations. I was going to introduce the Rational Root Theorem, The Irrational Root Theorem, and the Imaginary Root Theorem. After showing Sam several examples of how the Rational Root Theorem can be used to find at least one root, I was going to introduce the concepts of irrational conjugates and imaginary conjugates. This would allow her to solve a large range of polynomials. Samantha was not in school today so I will present this lesson the next time I teach her. There was no assignment.

Sam was absent today.

To build upon what we were doing in the math class earlier that day, an introduction to different geometries used in physics was given and compared to Euclidean geometry. Spherical geometries, higher dimensional spaces (hyperspace) and Riemannian geometry was explained to be used in relativity, fractal geometry and Ant de-Sitter spaces were explained as being fundamental to quantum physics.

Chapter 3 material was started. The lesson consisted of fundamental axioms and important concepts in geometry.

The lesson consisted of describing the hidden forces of nature, the laws governing them, and the means by which these forces can be brought under control.

A test was given on Chapters 1 and 2. She finished in time.

Sam spent most of the session working on her exam on the Declaration and the history leading up to 1776. Her homework on the structure of the Constitution was handed in timely and showed a good understanding. We addressed her response on the procedure for amending the Constitution and then studied the Preamble. Sam took notes on the purpose and meaning of phrases in the Preamble such as to "form a more perfect union" and to "provide for the general welfare". For homework, I assigned reading pages 92 -95 in the text and answering questions on constitutional checks on the powers of Congress.

Samantha and I worked together to factor and solve some higher order equations with strategies such as sums and differences of cubes, substitutions for fourth degree equations, and factoring by grouping. After factoring, I showed Sam the next steps including the use of the quadratic formula. Sam has seen this material before so she picked it up very quickly. There was no assignment.