11 and 12. Review/Independent work

Hello Students!

These two days are review day.  On 1/22, if you are in periods 1 and 2, then you did your review during class in a reverse musical chair activity.  If you are in periods 5 to 8, you are assigned textbook page 463, questions 4-14.

On 1/23, your independent work starts in your textbook page 487, questions 15-30.

Don't forget these are still due as your daily grades!  Be sure to attempt them, even if you get them wrong.  We will go over selected problems from these on Friday, 1/24.

10. Angles of Elevation and Depression

1/20.  Textbook chapter 8-5, starting on page 464.

Today, we learned two new vocabulary terms: angle of elevation and angle of depression.  We then used them in conjunction with trigonometry to solve some real life problems.  Pay special attention to examples 1 to 3 in the textbook please.

Here's a website I found that explains it:
http://www.mathsteacher.com.au/year10/ch15_trigonometry/12_elevation_depression/23elevdep.htm
http://www.purplemath.com/modules/incldecl.html


And here's a youtube video I found:
http://www.youtube.com/watch?v=oLsZB1VzxQo


Classwork: page 466 #1-3

7. SOHCAHTOA, 8. Solving Problems with SOHCAHTOA and 9. Word Problems

1/15 to 1/17.  Textbook chapter 8-4, starting on page 456.

On 1/15, we started by introducing the three basic trigonometric functions:  sine, cosine and tangent.  We set up the ratios, or fractions, that they used.  In particular, look at example 1 on page 457.
Classwork:  page 460 #1,2

On 1/16, we practiced using the trigonometric ratios to solve a problem.  In particular, look at examples 3 and 4 starting on page 458 in your textbook.
Classwork: page 4461 #44-49

On 1/17, we practiced solving word problems using trigonometric functions.
Classwork: handout provided.


Here's a couple of websites that explains the basic trigonometry we are learning:
http://www.mathsisfun.com/sine-cosine-tangent.html
http://www.regentsprep.org/Regents/math/algtrig/ATT1/trigreview.htm

Here's a couple of youtube videos I found:
http://www.youtube.com/watch?v=XFh_JC7OSrg
http://www.mathwarehouse.com/trigonometry/sine-cosine-tangent-practice2.php

Don't forget to turn in your notebooks!

6. Composite Special Right Triangles

1/14, practice day


Hello guys!  This session is a practice day.  If you missed out, you must come see me for make-up work!

No homework.

5. Special Right Triangles

1/13, Textbook Chapter 8-3 starting on page 448

Today we look at the special patterns found in two kinds of right triangles.  It's all about solving for side lengths of a triangle without using any calculator.  How easy that would be!

Here's a website I found to explain it:
http://www.onlinemathlearning.com/special-right-triangles.html  (this one has a few videos that's good too)

Here's a couple of youtube videos I found to explain it:
http://www.youtube.com/watch?v=VVKUOdyzQ98
http://www.youtube.com/watch?v=7B1yrRLSRT8

Here's a website you can use to practice more:
https://www.khanacademy.org/math/geometry/right_triangles_topic/special_right_triangles/e/pythagorean_theorem_2

Classwork:  handout provided.  If you don't have it, pick one up tomorrow!

Remember that your classwork is 50% of your daily grade.  Don't miss out!

4. Pythagorean Theorem and its converse practice

This is a practice day.  If you missed this session, please come see me for make up work.

No homework.

3. Converse of the Pythagorean Theorem

On Jan 9th, we learned about the converse of the Pythagorean Theorem, which are the Pythgorean triples.  It is still in your textbook chapter 8-2.  Look closely at example 4 in page 443.

Here's a website I found to explain it:

http://www.mathsisfun.com/pythagorean_triples.html

Basically, you are looking at three numbers like these:  3, 5, 4
And ask this question:  Can these three numbers form a right triangle?
You then plug it into the Pythagorean theorem formula, choosing the biggest number as "c"
Your answer will be a yes or no.


Here's a youtube video I found as well to explain it:
http://www.youtube.com/watch?v=2Kc1xbC9nAE


Classwork: page 444 #19-27,  #16, 18 are extra credit