Friday, February 26, 2010

Algebra 2H pds 1,2
We went over one-to-one functions and inverses of functions.
We then started the process of graphing rational functions. These graphs have a horizontal and vertical asymptote.
HW Worksheet- Finish # 2-4 all
EC Graph the function f(x) = 3^x and its inverse on the same graph.

Geometry H pds 3,5
Today was the test on Trigonometry. EC puzzle was given out afterwards.
No more ec this weekend!

Trig pd 4
Today was the quiz on Polar and Rectangular Coordinates.
NO hw this weekend.
EC How did you enjoy learning trigonometry? Which parts of trigonometry did you like the most and which parts did you like the least? Why?

Thursday, February 25, 2010

Algebra 2H pds 1,2
After going over the problems on exponential functions, we learned how to find the inverse of a given equation. To be a function, all graphs must pass the vertical line test.
If a function is one-to-one, its graph will pass the hroizontal line test. In addition, its inverse will NOT be a function.
HW pd 1 page 545 # 13-16 all
pd 2 page 545 #1,9,13, and 15.
EC problems #18,20

Geometry H pds 3,5
We reviewed for tomorrow's test on trigonometry by Quick Draw for Points.
All problems on the test will be similar to the worksheets and quick draw problems.

EC question- How do you know whether to use sine, cosine, or tangent when solving a trigonometry problem?

Trig pd 4
We reviewed for tomorrow's quiz with Quick Draw and going over the practice test.
Tomorrow is the test on Polar and Rectangular Form as well as graphing.
EC Find the center and radius of the circle with equation x^2 + y^2 + 10x = 0.

Wednesday, February 24, 2010

Algebra 2H pds 1,2
After going over 2 more maximum-minimum problems involving perimeter and area, we began the unit of exponential functions. We graphed 2^x and (1/2)^x on graph paper.
We also reviewed problems involving exponents.
HW worksheet #13,15,17,19,23,33,37,45,49,55,59,64,65 (pd 1)
#13,15,17,19,23,22,27,45,49,55,60,64,65, and 68 (pd 2)
EC problems #24,62

Geometry H pds 3,5
During class, students worked on setting up the trig word problems with pictures and then solving them. there were 7 problems total. This paper will be collected tomorrow. The trig quiz is on Friday.
HW textbook page 447 # 12-16 all
EC problem- page 448 #18.

Trig pd 4
After going over hw problems and graphing a new polar equation involving the infinity sign, students received the Practice Quiz.
HW Do all problems on the practice quiz.
Quiz is on Friday.
EC problem Worksheet 8.6 #17

Tuesday, February 23, 2010

Algebra 2H pds 1,2
Today was the math department quiz on graphing parabolas.
We went over some of the maximum/minimum problems. We will continue with these tomorrow.
EC problem- Find two numbers whose sum is 18 and whose product is a maximum. Why is it important to find the vertex of the parabola for this problem?

Geometry H pds 3,5
We learned about the angles of elevation and depression today. Both of these angles start with a horizontal ray.
HW worksheet- Do all problems.
EC question- Draw a picture and solve. The Eiffel Tower in Paris casts a shadow 150 meters long when the angle of elevation of the sun is 63º. Find the height of the Eiffel Tower.

Trig pd 4
As mentioned, we are nearing the end of trigonometry. Our last trig quiz will be on Friday. Today, we continued with polar graphs and reviewed the standard form of a circle for graphing as well.
HW worksheet 8.6 #6,7,10,16,21, and 23.
EC problem Graph r=5sin theta by changing this equation into rectangular form first.

Monday, February 22, 2010

Week of February 22nd-Spirit Week!

Algebra 2H pds 1,2
Tomorrow, there will be a 6 question quiz on graphing parabolas. Go over the examples we did during today's class to prepare for this important quiz.
We also started learning maximum/minimum word problems.
HW Worksheet #12,15,16 pd 1
#13,15,16 pd 2
EC problem #14

Geometry H pds 3,5
Hopefully by now, all of you understand the value of learning SOHCAHTOA!
HW worksheet- Do BOTH sides by tomorrow's class.
EC Find the measures of the two acute angles in a right triangle with legs 8 cm and 15 cm.

Trig pd 4
Today, we learned about some of the polar graphs. We graphed two roses-one with 4 petals and one with 3 petals.
HW worksheet 8.6 #3,11,19,and 22.
EC picture graph #14 (This should have a loop in it.)

Friday, February 19, 2010

Algebra 2H pds 1,2
We learned the standard form for parabolas. It is: y = a(x-h)^2 + k, where (h,k) = the vertex. Completing the square is necessary for writing equations in standard parabolic form.
HW Worksheet # 9-14 all- Graph # 9,11, and any other equation of your choice. You do not have to find the x intercepts.
EC problem Write 1/3 x^2 +6x + 3 in standard parabola form. Name the vertex.

Geometry H pds 3,5
We learned the ratios for sine and cosine today. We also went over the word SOHCAHTOA, which is a method for memorizing the trigonometric ratios.
HW Worksheet 8.4 on Sine and Cosine. Do all problems.
EC problem- textbook page 441#6 and page 442 #22.

Trig/Math Analysis pd 4
After going over the hw problems, we learned how to convert polar to rectangular and rectangular to polar form for equations.
HW Worksheet 8.5 # 14,16,36,38, and #41-55 odds.
EC problem- Write the equation r^2 = 8 cos 2theta in rectangular coordinates.

Thursday, February 18, 2010

Algebra 2H pds 1,2
We began the work on parabolas today. We learned the terms focus and directrix. To find the vertex of a parabola whose equation is in standard form, we use the formula
x = -b/2a. Then, we solve for y.
HW Graph the equations on the worksheet from today's lesson.
EC problem- Graph the parabola -x^2 + 4x - 2.


Geometry H pds 3,5
We started the unit on trigonometry today. We learned about the tangent ratio and solving problems using the calculator. Tangent of an angle = opposite leg/ adjacent leg.
HW textbook page 434 # 1-10 all.
EC problem Find the tangent of 89º, 89.5º, and 89.999º. why do you think the answers are so large?

Trig pd 4
We learned how to graph ordered pairs in rectangular and polar form. The origin is called the pole. We also learned how to convert from polar to rectangular and rectangular to polar form.
HW worksheet # 3,7,9,1,, (on one graph), 15,17, and, #19-39 odds
EC problem- Find 3 other ordered pairs for (-4, -150º)

Wednesday, February 17, 2010

Algebra 2H pds 1,2
Today was the quiz on lessons 8.1-8.4.
Tomorrow, we will begin learning about the parabola.
EC- Bring in some real life pictures of parabolas-examples include the Arch in St. Louis, Missouri, and satellite dishes.

Geometry H pds 3,5
Today was the quiz on special right triangles. Most students did very well.
HW Bring your scientific calculator to class for our study of trigonometry.

Trig pd 4
Today was the quiz on complex numbers and trig form and other assorted topics. The Complex Roots Theorem gave some of you a difficult time.
Tomorrow, we will learn how to graph numbers in trig form.
EC-Do you feel that you mastered the quiz topics? Why or why not?

Tuesday, February 16, 2010

Week of February 16th

Algebra 2H
Tomorrow is the quiz on Sections 8.1-8.4. If you know how to do all of the questions on the Review test, you should get an "A".
Be prepared!!!!
EC page 503 # 84 and page 502 #38.

Geometry H pds 3,5
Tomorrow is the quiz on Special Right Triangles. Memorize the formulas!!! No cheat sheets are allowed for this quiz.
EC Why do you think students have difficulty with this lesson? What method did you use to learn the formulas?

Trig pd 4
Tomorrow is the quiz on trigonometric and standard form, DeMoivre's Theorem, and the Complex Roots Theorem. If you can do every problem on the practice test, then you will ACE this quiz.
EC-Find (-3+3i)^10

Friday, February 12, 2010

Algebra 2H pds 1,2
The next quiz will be on Wednesday, covering lessons 8.1-8.4.
HW Review Test page 526 #1,5,9,11,13,19,20,25,29,31,33,35,43,45, and 47.
EC problems # 44,50
Have a great 3 day weekend!

Geometry H pds 3,5
Our next quiz will be on Wednesday. It will cover the special right triangles. These are the 30-60-90 and 45-45-90 right triangles. Memorize those formulas!!!!
HW Worksheet #1-27 all
EC problem If the side of a rhombus is 30 cm, find the lengths of both diagonals.
Express your answers in radical form and then round each one to the nearest tenth by using your calculator.
have a great 3 day weekend!

Trig pd 4
After going over the hw problems, students received a practice quiz review sheet for the quiz next Wednesday. The actual quiz will be extremely similar to this review sheet.
EC problem---Find the 6 sixth roots of -1. Leave your answers in trig form and graph the 6 answers on the coordinate plane.
Have a great 3 day weekend!

Thursday, February 11, 2010

Algebra 2H pds 1,2
Topic was equations in quadratic form.
HW page 502 #1,3,11,21,25,37,45, and 47.
EC problems #36,32

Geometry pds 3,5
Valentines are due tomorrow. Bring scientific calculators.
EC Draw an isosceles right triangle. find its perimeter if its diagonal = 55(radical 3).

Trig pd 4
We went over the Complex Roots Theorem
HW Wroksheet #1,3,5,7, adn 17.
EC problem #21

Wednesday, February 10, 2010

Algebra 2H pds 1,2
After going over a few hw problems, we learned about the discriminant part of the quadratic formula. By using the answer to the discriminant, you can tell how many and what type of solutions there are in a quadratic equation. We also learned how to build equations from knowing the solutions first.
HW pages 494-495 #1,3,5,11,15,19,21,25,27, and 35.
EC problems #38,46

Geometry H pds 3,5
Today was the District Test for CAHSEE readiness. Students will get 20 more minutes to finish problems on this test tomorrow. I will check for calculators tomorrow. Also, the Geometry Valentines are due on Friday. Make sure you fill out the white paper to go along with your poem. Try to use geometric terms in your poem.

EC Question-How do you think you did on today's test? Why do you think the School District is giving this test to students?

Trig pd 4
We continued going over problems involving DeMoivre's Theorem.
HW Worksheet (same as yesterday) #15,27,41,49, and 52.
EC problem #50 (worth triple if done correctly)

Tuesday, February 9, 2010

algebra 2H pds 1,2
Today, we derived the quadratic formula from the standard quadratic equation. this will be bonus problem on your next quiz.
HW pages 485-486 #1a,c,e, 3c, 5,7,9,13,17, and 23 (pd 2 only).
EC problems #18,38

Geometry H pds 3,5
We went over the special right triangle formulas again.
HW Worksheet # 1-20 all
EC problems Textbook page 429 #20,22

Trig pd 4
We learned DeMoivre's Theorem today. It is used to raise complex numbers to high powers.
HW worksheet #1,5,9,13,17,21,25,31,35,39
EC problem #47
Also, write a one page report on DeMoivre's life.

Monday, February 8, 2010

Week of February 8th-Second Semester Begins!

Algebra 2H pds 1,2
We learned how to solve quadratic equations by completing the square. The coefficient in front of the x^2 term must be 1.
HW page 475 #,7,11,15,31,35,39,43, and 49.
EC problem #42.

Geometry H pds 3,5
Students need to have a scientific calculator by Wednesday of this week. This is for our lessons on trigonometry.
Today, we learned the formulas for finding the sides of the 45-45-90 right triangle, and the 30-60-90- right triangle. These should be memorized so that finding the sides of these special right triangles will be automatic for you. Hopefully, you took good notes!
HW Worksheet # 9-20 all.
EC problem-If the diagonal of a square is 44 cm, find the perimeter of the square.
Use a formula from today's lesson to solve this.

Trig pd 4
After reviewing the lesson on trigonometric and standard complex number form, we learned the formulas for multiplying and dividing two numbers in trigonometric form.
HW textbook page 440-441 # 33,35,41,51,53,55,57,59, and 63.

EC problem-Multiply (3 - i) and (-2 + i). Then change each complex number to trigonometric form and multiply them again. Show that both answers are the same by converting one form to the other form. (worth triple if done correctly).

Monday, February 1, 2010

Finals Week-February 1-5

To All of my Classes:

The Final Exam will count 20% of your overall grade. The way to do well on the final is to review all of the work on the review sheets given out in class. Wewent over all of the work on these review sheets.
Also, remember to bring your binders to the final exam. I will check them and assign up to 100 points for each binder. In other words, the binder grade is similar to a test grade.
There will be no extra credit for this week due to the final exam. There have been more than 80 possible ec's given this semester!