Thursday, March 25, 2010

Algebra 2H pds 1,2
We reviewed problems involving the equation of the circle,including finding the equation of a circle tangent to the x or y axis. Students must know how to complete the square in order to find the center of a circle.
There will be a short quiz tomorrow on this lesson.
HW worksheet # 18,22,26,30,34,36,42,46,50,51, and 54.
EC problem #37.

Geometry H pds 3,5
We learned how to find the area of shaded regions of a circle. (Sector - Triangle).
There will be a quiz on Area and Circumference of the Circle, Length of an Arc of a Circle and the Area of a Sector of a Circle.
No written hw tonight! Just study!!!!!
EC problem Sector AOB has an area of 72pi and an arc of 150ยบ. Find its radius.

Math Analysis pd 4
We went over the problems from the hw worksheet including the new problems on the worksheet. For tomorrow's quiz, you need to know how to solve a cubic equation using the p/q rational roots method. Also, synthetic division is a must! The problems given will be similar to the ones done in today's class.
HW Worksheet - Do all the synthetic division problems on the top of the worksheet (letters h-p).
EC problem #9 on the same worksheet (Do this one the same way as the cubic, but use p/q for the first and second answers.)

Wednesday, March 24, 2010

Algebra 2H pds 1,2
We went over the Circle Theorem as well as the Distance Formula.
HW page 589 #1,5,9,13,17,21,25,29,31,33
EC problem # 38

Geometry H pds 3,5
We learned the formulas for the Length of an Arc of a Circle and the Area of a Sector of a Circle. Many examples were done during class.
HW Worksheet # 1-9 all
Ec problem #11 (Shaded part = Area of the Sector - Area of the Triangle)

Math Analysis pd 4
We learned a method for solving cubic equations. It involves using p/q (Rational Roots Theorem) and synthetic division. We also went over the Factor Theorem.
HW Worksheet -all problems on page 32 (the top part is synthetic division and the last problem needs to be done on the back).
Ec problem- Find all solutions to the equation f(x) = 2x^3 +17X^2 +23x -42. (This problem is not as bad as it looks!!)

Tuesday, March 23, 2010

Algebra 2H pds 1,2
After going over quiz problems on logs, students received a worksheet containing sample log problems from the CA Standards Test. This important test will be given in May. It contains questions from the entire course.
Finish all problems by tomorrow.
EC question Why is an earthquake with measure 8.9 so much stronger than an earthquake with measure 6.8? Use information from our logs lesson in you response.

Geometry H pds 3,5
Students received the information for the next project on Mandalas. They are due Monday April 5th (the day you return from Spring break).
HW Worksheet Practice 44 # 1-7 all except # 6
EC #10-You need to use knowledge from regular polygons to do this problem.

Math Analysis pd 4
Today was the quiz on quadratic functions and parabolas.
Tomorrow we will begin polynomial functions.
EC question-Which quiz problem was most difficult for you? Why? If none were difficult for you,then answer which problem was easiest and why.

Monday, March 22, 2010

Week of March 22nd

Algebra 2H pds 1,2
Today was the quiz on Log equations and formulas involving logs.
EC puzzle was given out afterwards.
No other ec tonight...

Geometry H pds 3,5
We went over Area and Circumference of Circles. Pi is approximately 3.14 or 22/7depending on the problem. Sometimes, you just use pi without approximating it.
HW worksheet # 1-19 all
EC problem-Which is the better buy, a 10-inch pizza costing $5 or a 15 inch pizza costing $9? (Remember the inches represents the pizza's diameter.)

Math Analysis pd 4
Tomorrow is the quiz on the parabola and quadratic equations. all questions will be similar to the two review sheets we just completed during class.
EC problem Find the vertex: y= -2/5 x^2 -20x +13

Friday, March 19, 2010

Algebra 2H pds 1,2
We reviewed for the quiz on Monday. This quiz will be on logarithm word problems and logarithm equations, which must be solved on the calculator. You may exchange your calculator for one of the TI-84 calculators if you like.
EC problem....Which gives you more money at the end of 10 years, $1,000 at 8% compounded quarterly or $1,000 at 7% compounded continuously? How much more?

Geometry H pds 3,5
Today was the quiz on Areas of Regular Polygons (finally!).
EC problem...What is 1/2 of 2/3 of 3/5 of 240 divided by 1/2 ?

Thursday, March 18, 2010

Algebra 2H pds 1,2
The quiz on Logarithm Word Problems and Equations will be on Monday. Tomorrow, we will review all topics.
HW page 574 # 41-51 odds
EC problem -#52

Geometry H pds 3,5
Tomorrow is the quiz on Areas of Regular Polygons. Go over the practice test to be best prepared. Also, review the worksheets. The practice test will be collected tomorrow.
EC problem- Find the area of a regular nonagon with perimeter 18 cm.

Math Analysis-
We found the equation of a parabola when given any 3 points on the parabola. We plotted them on the stat plot of the graphing calculator and then verified that the equation we found did contain the 3 given points.
HW Worksheet # 1-5 all Do all problems if you will be involved in tomorrow's pep rally. You need to clear this with me first.
EC- Find the equation of a parabola with points (3,-2), (4,8), and (9,7).

Wednesday, March 17, 2010

Algebra 2H pds 1,2
Class will resume tomorrow with calculator logarithm problems. Bring the worksheet and your calculator to class tomorrow.

Geometry H pds 3,5
Tomorrow we will resume reviewing for the quiz on the areas of regular polygons.
Today, we measured angles and diagonals of rectangles, rhombuses, and squares to verify some of the special properties they have.
We also went over logic problems.
EC problem-How many four-letter words can you find in the word "TWINKLE"? Try for at least 15 words.

Math Analysis pd 4
We used the graphing calculator to solve parabola word problems involving distance and height.
HW Worksheet on parabolas # 12-19 all
EC - For the question in today's cw on diving, find the vertex of the parabola by using algebra (-b/2a) and substitution method.

Tuesday, March 16, 2010

Algebra 2H pds 1,2
Due to the CAHSEE, study hall was held.
We will resume our study of log word problems on Thursday.

Geometry H pds 3,5
We learned how to find the centroid of a triangle today. We drew a triangle, found the midpoint of each side, connected each midpoint to each vertex, and found the intersection. This intersection point is the centroid, also known as the center of gravity.
We also completed a crossword puzzle which reviewed terms we learned last semester.
No hw.
EC Construct your own centroid,using a triangle drawn on either heavy paper or cardboard.

Math Analysis pd 4
We completed the square to find the vertex of parabolas that have values of a other than 1. We also wrote the equation of a parabola when given its vertex and a point on the parabola.
HW page 96 #24,25,31,35,39,40, and 49.
EC problem - Find the vertex and sketch the graph of: y = 1/2 x^2 - 3x + 19/2.

Monday, March 15, 2010

Week of March 15th

Algebra 2H pds 1,2
We learned the formula for growth and decay for exponential functions.
HW Worksheet # 5-8 all
EC problem-For a certain strain of bacteria, k =0.775 when t is measured in hours. How long will it take 2 bacteria to increase to 1000 bacteria?

Geometry H pds 3,5
The quiz on areas of regular polygons has been postponed due to the CAHSEE exams for the 10th graders over the next two days. The quiz will be on Friday.
No hw tonight. Good luck tenth graders!!

Math Analysis pd 4
We learned about horizontal and vertical shifting of parabola graphs. We also completed the square to find the vertex of a parabola. Use the a(1,3,5) rule to graph parabolas.
HW Textbook page 95-96 # 1-8 all, 11,19,21, adn 23.
EC problem-Graph the parabola with equation y = -3(x+2)^2 +4 without a table.

Friday, March 12, 2010

Algebra 2H
By now, EVERYONE should have a scientific calculator for the lessons on exponential equations, where the variable is an exponent.
HW Worksheet (same one from Thursday) # 40,43,46,49,52,57,59,(pd 1) and 60 (pd 2)
EC problem #55

Geometry H pds 3,5
After reviewing the hw problems on areas of regular polygons, we learned how to find the area of a regular decagon and pentagon.
HW Worksheet # 1-16 all
EC problem- A regular octagon has a perimeter of 80 cm. Find its apothem and area.

Math Analysis pd 4
Today was the quiz on topics from Chapter 1 in the textbook. Hopefully, everyone passed with flying colors!
EC question-If f(x) = x^2 -3x +8, find f(x+3) and f(-1).

Thursday, March 11, 2010

Algebra 2H pds 1,2
We solved exponential equation problems by using logarithms. Calculators with the log button are necessary for these problems.
HW Worksheet # 1-53 every 4th problem
EC problems # 54,57

Geometry H pds 3,5
We learned how to find the areas of regular polygons using the formula A = 1/2 ap, where a= apothem and p= perimeter.
HW worksheet # 3-12 all and #15-19 all
EC problem- A regular hexagon has an apothem of 60 cm. Find its radius, side, perimeter and area.

Math Analysis pd 4
Tomorrow is the quiz on Sections 1.1 - 1.3 of Chapter One in the textbook. To be prepared, do all problems on the review sheet. This will be collected tomorrow.
EC question- Find ( x + h ) ^4 using Pascal's triangle.

Wednesday, March 10, 2010

Algebra 2H pds 1,2
Today was the quiz on logarithmic and exponential functions. Also, inverses and rational function graphing were included.
No hw tonight, except that you need to have a scientific calculator for tomorrow's lesson.
EC question... Which part(s) of today's quiz were most difficult for you? Why?

Geometry H pds 3,5
Today was the quiz on areas of the various figures we've been studying lately.
No hw.
EC- A rectangle has a diagonal of 14 cm, and makes an angle of 53 degrees with the base. Find its area. ( use SOHCAHTOA).

Math Analysis pd 4
We went over the differences between even and odd functions, as well as some of the piece-wise function graphing.
HW Review sheet for quiz on Friday... Do ALL problems.
EC problem---Using the definition from today's class, show that X^2 +4 is an even function.

Tuesday, March 9, 2010

Algebra 2H pds 1,2
Tomorrow is the quiz on exponential and logarithmic functions, graphing a rational function, and finding the inverse of a function and graphing it.
So, review all of the above!!!!
EC question- How do you think you will do on tomorrow's quiz? What parts do you need to review the most? Why?


Geometry H pds 3,5
Tomorrow is the quiz on Areas of rectangles, squares, parallelograms, triangles, rhombuses, and trapezoids. All formulas must be memorized. Make sure you understand how to find the sides in 30-60-90 and 45-45-90 right triangles. Also, know when to use the Pythagorean Theorem for isosceles triangles and trapezoids.

EC question- How will you prepare for tomorrow's quiz? What parts do you need to review the most? Why?

Math Analysis- pd 4
All students should now know how to find the domain and range of a given function, and know how to graph a piecewise function. Also, you should know how to write the equation of a line parallel or perpendicular to a given line.Also, you should understand the difference quotient (page 23).
HW pages 38-39 #1-4 all #41,43,45,47
EC problem #46

Monday, March 8, 2010

Week of March 8th

Algebra 2H pds 1,2
Grades were given out for the first quarter.
We are reviewing for Wednesday's quiz on Graphing Rational Functions, Finding Inverses of Functions, Exponential Functions and Logarithmic Functions.
HW Review Sheet # 1-20 all
EC problems- textbook page 60 # 42,44

Geometry H pds 3,5
We are reviewing for the Quiz on Areas of rectangles, squares, parallelograms, triangles,rhombuses, and trapezoids.
HW Review Sheet # 1-9 (top)-Omit #5 and #1-10 (bottom) Omit #8,9
EC problem #8 (Divide the hexagon into 6 triangles and find the area).

Math Analysis pd 4
We graphed 2 piece-wise functions on the graphing calculator. We also reviewed point-slope form, parallel and perpendicular lines, and domain of a function.
HW Worksheet #E2 a-k all and #F2
EC problem #F1 #e Graph by making a table for each part. Watch the x values.

Friday, March 5, 2010

Algebra 2H pds 1,2
We learned how to solve logarithmic equations. Examples were explained during class time.
HW Same worksheet as last night pd 1 #31,35,39,45,49, and 51.
pd 2 #32,36,38,45,49, and 51.
EC problem #52.

Geometry H pds 3,5
We learned the formula for the area of a trapezoid. The formula is on the worksheet handed out during class. Examples were explained and completed (hopefully) during class time.
HW -HW Worksheet # 1-6 all, 9,14.
EC problem- An isosceles trapezoid has sides of 6cm (top), 5cm, 12cm (bottom), and 5cm. Remember the bases are parallel. Find the height and then find the area.

Math Analysis pd 4
We worked on domain and range problems during class.
HW worksheet (page 22)- Do all problems- C5,C6, D1, D2, E1.
EC problem textbook page 39 #42.

Thursday, March 4, 2010

Algebra 2H pds 1,2
We are currently on the most important part of the unit on logarithms-solving log equations using the 3 properties of logs.
HW Worksheet pd 1 # 19-29 all
pd 2 # 19-39 odds
EC problem #40

Geometry H pds 3,5
We learned the formula for finding the area of a rhombus. We went over many problems using A = 1/2(diagonal 1)(diagonal 2).
HW Worksheet TOP PART # 4-9 all
BOTTOM PART #4-17 all
EC problem-A rhombus has a perimeter of 68 cm. If one of its diagonals = 30 cm, find the area of the rhombus. Draw a picture and show your work.

Math Analysis pd 4
We learned about finding the domain of a function, Piecewise functions involving cellphone use, and the Difference Quotient.
HW pages 26-29 # 49-57 odds #79,85.
EC problems #84,86.

Wednesday, March 3, 2010

Algebra 2H pds 1,2
We went over 3 properties of logarithms. We solved log equations that are in the same base. We also went over some problems that had to proven true or false.
HW Worksheet # 4-52 multiples of 4.
EC problems #33,49.

Geometry H pds 3,5
We learned the formulas for the area of a parallelogram and triangle. CW worksheet was done during class(most of it was done!)
HW Worksheet # 1-15 all
EC problem-Find the area of an isosceles triangle with sides 25 cm,25 cm, and 14 cm. Draw a picture and show all work.

Math Analysis pd 4
We used the graphing calculators to graph all kinds of functions, including absolute value, parabola, cubic, and linear equations. We also went over piecewise-functions and graphed them as well.
HW Textbook pages 24-25 # 37,38,41,42,45, and 47.
EC problem page 26 #66-Sketch the graph as well as answering the question.

Tuesday, March 2, 2010

Algebra 2H pds 1,2
We learned that a logarithm is an exponent. We also learned how to change exponential equations to logarithm form and vice versa.
HW Worksheet # 5-70 multiples of 5
EC problems #46,66

Geometry H pds 3,5
We started the new unit on area and volume of figures. Today, we solved problems involving the area and perimeter of squares and rectangles.
HW Worksheet # 1-15 odds, # 17-24 all
EC problems # 8,14

Math Analysis pd 4
Despite the noisy students, we continued in Chapter One. Today, we reviewed the concept of function, relation, and solved problems related to f(x).
HW page 11-12 # 43,55 and pages 24-25 #1,2,5,9,13,15,19, and 33.
EC problems page 25 #34,36

Monday, March 1, 2010

Week of March 1st

Algebra 2H pds 1,2
After going over the hw on graphing rational functions, a puzzle on exponential functions was given out. Those of you on the field trip will complete this worksheet for Wednesday.
EC problem---Graph f(x) = 3(x+4) on the coordinate plane. Show the horizontal and vertical asymptotes.

Geometry H pds 3,5
We reviewed all of the types of problems involving right triangles. These include the Pythagorean Theorem, Trigonometry, Special Right Triangles, and Geometric Means problems.
HW- Do the back of the worksheet from today's class.
EC Question- A square has a diagonal of 12 cm and you are asked to find its perimeter. Which method of solving would you use? Why? Find the perimeter of the square.

Math Analysis pd 4
After graphing some polar equations on the graphing calculator, we started the math analysis part of the course. Today, we reviewed slope-intercept, point-slope form, slope formula, and parallel and perpendicular (a little bit) lines. We graphed some of these equations on the calculator as well.
HW pages 11-12 #1,5,7,9,19,23,45,51, and 53.
EC problems #44,54