Math 9, Lesson 2, Fall 2017, 9/18/2017

Weidong Posted in Fall 2017, 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.

 

Algebra 2B, Lesson 2, Fall 2017, 9/18/2017

Weidong Posted in Algebra 2, Fall 2017, 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.

 

Math 9, Lesson 1, Fall 2017, 9/10/2017

Weidong Posted in Fall 2017, Homework, 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.

 

Algebra 2B, Lesson 1, Fall 2017, 9/10/2017

Weidong Posted in Fall 2017, Teaching info
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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.

 

Math 9, Lesson 16, Spring 2017, 6/18/2017

Weidong Posted in Math 9, Spring 2017, Teaching info
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Today we have the final exam. I will grade and then email to you, along with the answers.

Have a great summer!

 

Algebra 2, Lesson 16, Spring 2017, 6/18/2017

Weidong Posted in Algebra 2, Spring 2017, Teaching info
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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 is the last lesson for this semester. We will continue in the Fall to finish this book. Have a wonderful summer.

Algebra 2, Lesson 15, Spring 2017, 6/11/2017

Weidong Posted in Algebra 2, Spring 2017, Teaching info
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We study geometric sequence and geometric series. A geometric sequence is one in which the ratio of every two consecutive terms is the same. Common example like: 1, 2, 4, 8, 16, 32, …

We will finish this chapter next Sunday, which will be the last lesson for this semester.

 

Math 9, Lesson 15, Spring 2017, 6/11/2017

Weidong Posted in Homework, Math 9, Spring 2017, Teaching info
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We review statistics and probability.

We will have our final exam next Sunday.

No specific homework this week, but the student should review what we have learned this semester by going over your homework and class notes.

Here are the answers to several previous homework for Lesson 12, 13, and 14

Answers to last week’s homework: answers1, answers2, answers3

 

 

Math 9, Lesson 14, Spring 2017, 6/4/2017

Weidong Posted in Homework, Math 9, Spring 2017, Teaching info
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Since not enough time was spent last time on speed-time graphs, we focus on that part today to make sure students get a good understanding of how to read a speed-time graph, how to calculate the distance, how to draw a distance-time graph from a speed-graph, etc.

There are some homework that is about speed-time graph, please use last class’s homework sheets and do or redo the parts about speed-time graph.

We will have a quick review of statistics and probabilities next time. We will have our final exam on 6/18.

Here are some more homework:

Page 8, Page 9, Page 10, Page 11

#19, #20, #22, #23, #24, #25.

 

 

Algebra 2, Lesson 14, Spring 2017, 6/4/2017

Weidong Posted in Algebra 2, Spring 2017, Teaching info
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We start a new chapter today on sequences and series. A sequence is an ordered list of numbers, and a series is the sum of certain number of terms from a sequence.

We talk about arithmetic sequence and arithmetic series today.