In the next two lessons, we study complex numbers.
Today we talk about the arithmetic of complex numbers, addition, subtraction, multiplication and division.
3.1.1 – 3.1.7
Math 9, Lesson 3, Fall 2017, 09/24/2017
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Algebra 2, Lesson 3, Fall 2017, 09/24/2017
Weidong Posted in Algebra 2, Fall 2017, Teaching info，
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2017
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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 2, Fall 2017, 9/18/2017
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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 1, Page 2, Page 3
Workbook Page 12, #6 – #10, #16 – #20.
Algebra 2B, Lesson 2, Fall 2017, 9/18/2017
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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.
Math 9, Lesson 1, Fall 2017, 9/10/2017
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2017
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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 1, Page 2
Workbook Page 11, #1 – #5, #21.
Algebra 2B, Lesson 1, Fall 2017, 9/10/2017
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We start a new chapter on Identities, Manipulations, and Induction.
Today we study identities (equations that are true for all values of all variables for which the equations are defined) and how to prove identities.
We look at identities with ratios.
