## Math 9, Lesson 4, Fall 2018, 9/30/2018

Weidong Posted in Fall 2018, Homework, Math 9, Teaching info
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We continue our study of complex number. Today we talk about representing complex numbers in Complex Plane and how to calculate the magnitude of a complex number. We also look at various properties of a complex number with its conjugate.

Homework: Page 1Page 2Page 3,

3.2.1 – 3.2.7, 3,3.1 – 3.3.1 – 3.3.7

## AoPS Algebra 2, Lesson 4, Fall 2018, 9/30/2018

Weidong Posted in Algebra 2, Fall 2018, Teaching info
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We study inequalities for the next three lessons. We cover 12.1 and 12.2 sections on inequality manipulation and trivial inequalities.

## Math 9, Lesson 3, Fall 2018, 9/23/2018

Weidong Posted in Fall 2018, Homework, Math 9, Teaching info
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In the next two lessons, we study complex numbers.

Today we talk about the arithmetic of complex numbers, addition, subtraction, multiplication and division.

Homework: Page 1Page 2,

3.1.1 – 3.1.7

## AoPS Algebra 2B, Lesson 3, Fall 2018, 9/23/2018

Weidong Posted in Algebra 2, Fall 2018, Teaching info
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We study induction, which is a very useful way for proofing problems. It may take students a little while to really master this skill, but this is something students should really get good at.

## AoPS Algebra 2B, Lesson 2, Fall 2018, 9/16/2018

Weidong Posted in Algebra 2, Fall 2018, Teaching info
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We study identities and their manipulations.

In particular, w study using brute force, as well as identities with fractions.

## Math 9. Lesson 2, Fall 2018. 9/16/2018

Weidong Posted in Fall 2018, Homework, Math 9, Teaching info
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Two events are called to be independent events if the occurrence or non-occurrence of one event does not affect the probability of the other event.

If A and B are independent events, the probability of both events A and B occurring is the product of their individual probabilities:

P(A and B) = P(A) * P(B)

With this, we can simplify tree diagrams when dealing with problems with multiple same items by simply marking their probabilities.

When two (or more) events are dependent to each other, we cannot use the product rule, but we can still use the tree diagrams to help us finding probabilities.

Homework:

Print these pages: Page 1Page 2Page 3

Workbook Page 12, #6 – #10, #16 – #20.

## Math 9, Lesson 1, Fall 2018, 9/9/2018

Weidong Posted in Fall 2018, Homework, Math 9, Teaching info
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We start on probability. Students should have learned some basic concepts before about simple probability, the concept of a sample space with events consisting of some outcomes. In this chapter ,we study probabilities with multiple stages.

When a random experiment involves two stages, we can use a rectangular grid, called a probability diagram, to represent the sample space to help us find probabilities.

If a random experiment has two or more stages, we can use a tree diagram to represent the process, which should help us see all the possible outcomes and figure out the outcomes associated with a particular event.

We then talk about mutually exclusive events. In a sample space, two events are mutually exclusive if they cannot occur at the same time. If A and B are two mutually exclusive events, the the probability of A or B occurring is: P(A or B) = P(A) + P(B).

Homework:

Print these pages: Page 1Page 2

Workbook Page 11, #1 – #5, #21.

## AOPS Algebra 2B, Lesson 1, Fall 2018, 9/9/2018

Weidong Posted in Algebra 2, Fall 2018, Teaching info
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Today is the first class for Fall semester,  but we picked up from where we left off for Spring semester. We study summation and product notation and how to use them to help us dealing with sequences and series’es. We also learn how to evaluate such summation and product notations, especially with nested ones.

This wraps up Chapter 10 and we will start Chapter 11 next week.