[Please make sure to read the entire post!]
Read pages 239 to 240 of the textbook. We proved the theorem and its three corollaries that follow in class today. So, once you have proved the theorem and read about mean proportionals you should try to prove the corollaries by using the proportions of the similar triangles you prove in the theorem. Make sure to prove each case and understand why it works and then read the words of the corollaries to make sense of the what you have proved. The words of the corollaries actually help remember the relationships.
Next, do problems 5, 7, 9, 15 and 16 on page 241 using the theorem and its corollaries that you just read (the questions are pretty easy and should not take you time). Question 16 is both interesting and crucial at the same time. If you cannot prove the statement in that question, then don't worry about it because if you turn to pages 242-243, then this famous theorem and its converse have been proven for you and you can read the proof and understand how it is done. (If you are Connor Miksch and have proved this theorem another way, you are still required to prove it this way and understand it the books way!)
You must complete the work above today so that you can do the work for tomorrow which includes a reading packet that the sophomores already got today to go home and read. You will have to pick up your reading packet (titled The Pythagorean Theorem) from the front desk before, during or after school tomorrow. Make sure to pick it up and read it as you will be assessed on this reading on Monday (reading quiz). The reading will provide you with important background information and context regarding the theorem and will also paint some of the landscape that will be necessary for trigonometry later. Do not save it for the weekend as you will have homework over the weekend.
Note: You are not required to take notes on this reading.
Next, do problems 5, 7, 9, 15 and 16 on page 241 using the theorem and its corollaries that you just read (the questions are pretty easy and should not take you time). Question 16 is both interesting and crucial at the same time. If you cannot prove the statement in that question, then don't worry about it because if you turn to pages 242-243, then this famous theorem and its converse have been proven for you and you can read the proof and understand how it is done. (If you are Connor Miksch and have proved this theorem another way, you are still required to prove it this way and understand it the books way!)
You must complete the work above today so that you can do the work for tomorrow which includes a reading packet that the sophomores already got today to go home and read. You will have to pick up your reading packet (titled The Pythagorean Theorem) from the front desk before, during or after school tomorrow. Make sure to pick it up and read it as you will be assessed on this reading on Monday (reading quiz). The reading will provide you with important background information and context regarding the theorem and will also paint some of the landscape that will be necessary for trigonometry later. Do not save it for the weekend as you will have homework over the weekend.
Note: You are not required to take notes on this reading.
3 comments:
The definition of what is meant by a mean proportional is given on page 239, which is part of your reading. There isn't much to understand in it but that it is defined as such.
Sorry. I didn't mean to delete the comment. :p
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