We wrap up this semester (and this school year) by going over some more problems with floor functions, as well as talking about recursive sequences.
AoPS Algebra 2B, Lesson 16, Fall 2018, 1/27/2019
Math 9, Lesson 16, Fall 2018, 1/27/2019
Today we have our final exam. I will email the test result to each family soon.
Next week we will start Spring 2019 semester and teach the 2nd half of Math 9.
Math 9, Lesson 15, Fall 2018, 1/13/2019
This is a review lesson. We will have our final exam next Sunday.
Students should review what we have learned this semesters by going over their homework.
AoPS Algebra 2B, Lesson 15, Fall 2018, 1/13/2019
We study absolute function graphs and floor functions.
Math 9, Lesson 14, Fall 2018, 1/6/2019
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
AoPS Algebra 2B, Lesson 14, Fall 2018, 1/6/2019
We study piecewise defined functions and absolute functions.
AoPS Algebra 2B, Lesson 13, Fall 2018, 12/16/2018
We study even and odd functions, as well as monotonic functions. We finished Chapter 15.
Math 9, Lesson 13, Fall 2018, 12/16/2018
Math 9, Lesson 12, Fall 2018, 12/09/2018
We review Set Language and Matrices.
A set is a well-defined collection of distinct objects. We talk about how to describe a set, the concept of an element, a subset, when two sets are equal. We also talk about the universal set, the empty set, the complement set for a set, the set union and intersection operations.
We talk about the Venn diagram to represent sets.
We also go over some more practice with matrices.
Homework: From the three page2 below: #1 – #5, #11 – #14, #15 – #17
AoPS Algebra 2B, Lesson 12, Fall 2018, 12/09/2018
We start a new chapter on special classes of functions. Today we study rational functions, which are any function that can be expressed as one polynomial divided by another. We then talk about rational function equations and inequalities.