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Today we worked on finding lengths of secant and tangent segments of circles. We also worked on the difference when segment is within or goes out of circle. It was mostly algebra that he needed to solve.

This morning the student and I completed section 1.5 and 1.6 of the APEX geometry course. These sections dealt with basic postulates of geometry, as well as defining 0-D, 1-D, 2-D, and 3-D objects. After working through the lessons, he received 100% and 90% on the quizzes for the sections. I asked him to complete the remaining three sections in Chapter 1. We will then begin with chapter 2. I have discussed a plan with him for completion of the course and although it requires a high amount of work, I believe that he is ready for it. We have had three productive sessions and I hope to continue that going forward.

The student and I continued to work on fractions (specifically addition of fractions with unlike denominators). She did very well with this concept; by the end of the lesson, I had her come up with problems and "teach" me how to do them. I peppered her with many common questions and made myself quite a difficult student, but she didn't have trouble explaining the process of finding the least common denominator. What really holds her back is that she is very shaky on her basic math facts (multiplication and division especially). Next week, we will continue to work to get her math facts down. I will also aim to strengthen her conceptual ideas about fractions, not just the algorithms.

The student worked through a complete timed reading section and about half of a science section. His reading has improved a bit since our last meeting and his score improved from a 22 to a 23. His science accuracy is very strong and I am encouraged by his results. He has committed to practicing for 20 minutes a night on reading and additional practice on all other sections.

The student and I continued with ACT Science review, where I showed him some new techniques and approaches. His progress in both ACT Science and Reading is modest, likely due to the fact he has taken the ACT twice and done significant independent practice. Additionally, he already excels at time management and has achieved a high score on his own, making further improvement challenging. Nevertheless, I believe some of my tips will be invaluable, particularly in regards to looking at specifics on the Reading section. We then proceeded to cover the new ACT Writing design, on which we made significant progress although there is still a lot to teach. Next session, we will cover ACT English on which I am much more optimistic about being able to raise the student's score significantly. I am pleased to work with this student as he is very attentive and eager to learn and improve his ACT score.

The student did practice problems on integral by parts after we did a quick recap on the exercise for finding the volume of solids using different methods. She did well after trying different types of problems involving integral by parts. I explained some tricks to help ease the problem solving process as we went through examples.