I explained to Sam the definition of a secant line and how to find the arc measures created by the intersection of two secant lines. I had to show him how there were two types of intersections. The first type of intersection is where the lines intersect inside the circle. The second type is where the lines intersect outside the circle. The formulas for calculating the arcs created by those intersections depend on which type of intersection we are studying. I also explained how the segment lengths are computed by two formulas depending on which type of intersection was created by the two secants. We did some problems to practice using the formulas. There was no assignment.

I finished working problems about tangent lines to circles with Matthew and we then started to study chords in circles. I explained how the distance from the center of circles to chords is found using perpendicular bisectors and how chords subtending the same arc measures on circles with the same radii are equal. We followed the examples and did a few problems. There was no assignment.

I introduced Sam to the concept of inscribed angles in circles and told him that the rule was to calculate the inscribed angle as half the amount of the central angle or of the arc measure. We did several problems which required several steps each. There was no assignment.

The plan was to solve more problems dealing with tangent lines to circles. We were then going to define chords in circles and solve some problems concerning the properties of those chords. unfortunately, Matthew was not available for instruction either in person or virtually so I will re-present the lesson next time I teach him. There was no assignment.

The plan was to work some problems with Sam concerning chords in circles. We would be showing what conditions prove chords to be equal and what parts of circles could be found from chord lengths and distances from the centers. Unfortunately, Sam was not available for instruction either in person or virtually. I will re-present the lesson when I teach him again. There was no assignment.

After reviewing a couple of the problems about tangent lines to circles with Joshua, I reviewed what we had studied about chords to circles. We did a couple of examples and then started some practice problems. There was no assignment.

I worked with Joshua to solve more problems dealing with tangent lines to circles. We then defined chords in circles and solved some problems concerning the properties of those chords. There was no assignment.

I worked with Sam to solve more problems dealing with tangent lines to circles. We then defined chords in circles and solved some problems concerning the properties of those chords. There was no assignment.

The plan was to solve more problems dealing with tangent lines to circles. We were then going to define chords in circles and solve some problems concerning the properties of those chords. unfortunately, Matthew was not available for instruction either in person or virtually so I will re-present the lesson next time I teach him. There was no assignment.

Joshua and I worked on problems involving tangent lines to circles. The problems were based on the fact that the radius line to the point of tangency forms a 90 degree angle with the tangent line. We used the Pythagorean theorem to work out segment lengths and the 90 degree angle to find missing angles. There was no assignment.