I started the lesson by demonstrating how a stack of playing cards could model either a right rectangular prism or an oblique one. I showed him how pushing on the top of the right prism would convert it into an oblique one. I also showed him how a single card could model as a cross section of the prism. In either case, I reminded him that Cavalieri's Principle guarantees that both volumes are the same. We then followed some examples in the book of applications of volume formulas. There was some time to do a few problems from the exercises. There was no assignment.

The plan was to go over the formulas for cones and pyramids with Sam. I would show the similarities and differences in their formulas and then we would solve some selected problems for both figures. Unfortunately, Sam was not available in person or virtually today. There was no assignment.

I introduced Joshua to solid geometry and the terms face, vertex, and edge. I showed him Euler's formula relating those three aspects of any polyhedron and demonstrated how it was applied. I also showed him how the cross section and solid of revolution is developed. There was no assignment.

I gave Matthew his test on Circles. The ten question test included questions on tangent lines, secant lines and chords intersecting in or near circles. He was able to complete the test in a single session and scored a perfect score of 100%. There was no assignment.

Josh finished his test and scored a perfect score of 100%. The ten question test included questions about chords, tangents, and secant lines intersecting inside or near circles. After I graded the test, I introduced the next chapter on solid figures. I started to introduce Euler's formula relating the number of faces, vertices, and edges of any polyherdron. There was no assignment.

The plan was to go over the formulas for cones and pyramids with Sam. I would show how the formulas are similar and their differences. We would then solve some selected problems for both figures. Unfortunately, Sam was not available in person or virtually today. There was no assignment.

Matthew worked on his Chemistry homework and a prior lab.

Matthew and I worked on balancing single replacement equations and drawing diagrams relating to pressure and temperature.

I worked with Joshua to finish the review problems on circles with the emphasis on intersections of secant segments. We then started the test covering the properties of circles, their angles and segments. There was no assignment.

Matthew and I worked on problems in the chapter review including inscribed angles and secants intersecting inside and near circles. We completed the problems required to prepare for the chapter test. There was no assignment.

I worked with Sam to find the volumes of cylinders and prisms with various bases. We found the volume of cylinders with both the radii and diameters given. The prisms had triangular, rectangular, and trapezoidal bases. We also did problems finding volumes of leaning prisms. There was no assignment.