Math 9, Lesson 4, Fall 2019, 9/29/2019

Weidong Posted in Fall 2019, 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 (pages are links. Click to download): 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 2019, 9/29/2019

Weidong Posted in Algebra 2, Fall 2019, Teaching info
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We study circles and ellipses. We will study hyperbolas next time.

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AoPS Algebra 2, Lesson 3, Fall 2019, 9/22/2019

Weidong Posted in Algebra 2, Fall 2019, Teaching info
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We study parabola, with its relationship to quadratic functions.

We will study circles and ellipses next time.

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AoPS Algebra 2, Lesson 2, Fall 2019, 9/15/2019

Weidong Posted in Algebra 2, Fall 2019, Teaching info
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We finish the chapter on complex number.

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AoPS Algebra 2, Lesson 1, Fall 2019, 9/8/2019

Weidong Posted in Algebra 2, Fall 2019, Teaching info
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We study complex numbers with basic operations, conjugates, and complex plain.

 

Math 9, Lesson 3, Fall 2019, 9/22/2019

Weidong Posted in Fall 2019, 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 (pages are links, click to download): Page 1Page 2,

3.1.1 – 3.1.7

Math 9, Lesson 2, Fall 2019, 9/15/2019

Weidong Posted in Fall 2019, 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 (pages are links. Click to download): Page 1Page 2Page 3

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

Math 9, Lesson 1, Fall 2019, 9/8/2019,

Weidong Posted in Fall 2019, 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 (pages are links. Click to download): Page 1Page 2

Workbook Page 11, #1 – #5, #21.