Algebra 2, Lesson 1, Spring 2017, 1/29/2017

Weidong Posted in Algebra 2, Spring 2017, Teaching info，
29 January 2017
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This is our first lesson for Algebra 2. Students got their textbooks.

Today We study parabolas, with its relationship to quadratic functions.

Three parents came to the class, with two stayed through the class. I welcome the input from the students and the parents.

Parents: please talk to your kid to get his feedback. Examine your kid’s notebook to see how much exercise he/she did in the class.

We started with talking about the geometric definition of a parabola, its basic properties and how to find the function based on the information about vertex, focus, directrix, etc. We did this by looking at a number of problems. Students then got time to work on some problems. We then talked about those problems and solved them in the class.

After the break, we looked at using parabola to solve problems. Again, we looked a few problems before the students worked on a few more. We then talked about those.

Lastly we looked at one of the major applications of parabola: finding the minimum and maximum values of quadratic functions. Again, we studied a few examples, having students work on a few more. We finished after going over those problems again.

This is a pretty fast paced class and I want to make sure that students feel OK. As I told students, they should have notebooks with them, not just note pad. They should get into a habit of taking notes in the class.

Again, please provide your feedback.

 

Math 9, Lesson 1, Spring 2017, 1/29/2017

Weidong Posted in Homework, Spring 2017, Teaching info，
29 January 2017
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Students will bring home their final exam papers. I have uploaded answers for the exam here.

Apart from going over some exam questions, we review the properties of circles.

In the symmetry properties category, we have the following:

  • Equal chords are  equidistant from the center;
  • The perpendicular bisector of a chord passes through the center;
  • Tangents from an external point are equal in length;
  • The line joining an external point to the center bisects the angle between the tangents

In the category of angle properties, we have:

  • Angle in a semicircle is a right angle;
  • Angle between tangents and radius is a right angle;
  • Angle at the center is twice the angle at the circumference;
  • Angle in the same segment are equal;
  • Angle in opposite segments are supplementary.

Homework:

Page 0, Page 1, Page 2, Page 3

#2, #4, #6, #8, #10, #12, #14, #16, #18