Friday, December 19, 2008

To All of My Classes:
I hope you have a wonderful vacation. Enjoy your free time, and I'll see you on January 12th!

Algebra 2H pds 1,2
We had a short multiple-choice quiz on Simplifying Rational Expressions as well as Multiplying and Dividing Rational Expressions. Those students who were absent today must take the quiz on January 12th.
No hw!!!
EC problem....Write an essay telling what grade you feel you earned so far in this class. Justify your answer. Your answer should be about one page.

Geometry H pds 3,5,6
Today, during class, students attempted to draw similar figures (guitar and flowers in flower pot). We also went over how to write proportions for similar figures.
Worksheet(both sides) must be finished for January 12's class.

EC Write an essay telling what grade you feel you earned so far in this class. Justify your answer. Your answer should be about one page.

Thursday, December 18, 2008

Algebra 2H pds 1,2

After going over the hw problems, we learned about complex fractions. A Practice Multiple-Choice Test was given out for students to review for tomorrow's quiz. This is the hw. The quiz will be multiple choice primarily.
EC problem page 363 # 42

Geometry H pds 3,5,6
Today, we went over the definition for Similar Polygons or Figures. Their corresponding angles are congruent, and their corresponding sids are proportional.
HW Worksheet 7.2 Do ALL problems....

EC Draw a triangle with sides of 4 cm, 3 cm, and 5 cm. Then draw a triangle with sides of 6 cm, 8cm, and 10 cm. Are your triangles similar? Why or why not?

Wednesday, December 17, 2008

Algebra 2H pds 1,2

Today, we covered Multiplication and Division of Rational Expressions (fractions). The steps were gone over during class with lots of examples given for practice.
HW pages 262-263 # 7,11,15,19,23,27,31,35, and 39.
EC problem...page 364 # 48.
One note: There will be a short quiz on Friday-covering all work since the last quiz...

Geometry H pds 3,5,6

After reviewing the work on Inequalities in Triangles, we started Chapter 7. Today, we covered the lesson on Ratios and Proportions. This should be mostly review from your previous math classes.
HW Worksheet # 7-29 all.
EC problems....What is the ratio of 2 pints to 2 quarts? What is the ratio of 28 minutes to 3 hours?

Monday, December 15, 2008

Week of December 15th

Algebra 2H pds 1,2
Today, we started Chapter 6, which is on Rational Expressions and Functions.
We covered Lesson 6.1 during class.
HW pages 345-346 # 1,5,9,13,17,21,25,29,33, and 37.
EC problem # 66 on page 347. This problem is similar to the last one done during today's class.

Geometry H pds 3,5,6
Today, we used linguini (spaghetti) to show that the sum of the two shorter sides of a triangle must be greater than the 3rd side in order for a triangle to be formed.
We also went over the Triangle Exterior Angle Theorem.

HW Worksheet- Do ALL problems on this worksheet.
EC problem....Draw a triangle with sides of 3 cm and 6 cm. Tell what measurement the 3rd side must have in order to form a triangle.

Friday, December 12, 2008

Algebra 2H pds 1,2
Today was the quiz on Solving Equations by Factoring and Expanding Binomial Expressions using Pascal's Triangle.
Monday, we will begin Chapter Six-on Rational Expressions and Functions.

EC question: The longest side of a right triangle is 3 less than twice the shortest side. The other side measures 12 inches. Find the length of the shortest side and the hypotenuse.


Geometry H pds 3,5,6
Today was the Quiz on Medians, Midsegments, Altitudes, Perpendicular Bisectors, and Angle Bisectors.
EC puzzle was given out after the quiz. It is due on Monday.

An EC riddle: Forward I'm heavy. Backwards, I'm not. What am I?

Thursday, December 11, 2008

Algebra 2H pds 1,2
Tomorrow is the Quiz on Solving Equations by Factoring, Word Problems involving Factoring, and Using Pascal's Triangle to Expand Binomials. To do well, you must understand all problems on the Review Sheet.
HW Puzzle- Do all problems...this will help you practice for the quiz.
EC problem....Use Pascal's Triangle to expand (6x-3y)^4--If done correctly with work shown, I will give 4 points!

Geometry H pds 3,5,6
Today, we reviewed for the quiz tomorrow. The quiz covers lesson 5.1 (Midsegments of a Triangle), Lesson 5.2 (Perpendicular Bisector and Angle Bisector Theorems), Medians, Altitudes, Angle Bisectors, and Perpendicular Bisectors.
Finish the Review Worksheet from today's classwork and STUDY!!!!
You will have to define the terms altitude and median.

EC problem....Draw triangle ABC. Construct the altitude from point A and the angle bisector of angle C(in the same triangle).

Wednesday, December 10, 2008

Algebra 2H pds 1,2
After going over the word problems involving factoring, we learned about Pascal's Triangle. The numbers in each row of this triangle represent the coefficients for the expression (x + y)^n.
Next quiz is on Friday.
HW Review Sheet # 1-11 all. Try # 12 if you're brave!
EC Write a short report about Blaise Pascal, the mathematician and philosopher. You may be surprised to learn about his short life!

Geometry H pds 3,5,6
We reviewed the concepts of perpendicular bisectors, angle bisectors, altitudes, and medians of a triangle. A worksheet was completed during class.
HW Construct the 3 perpendicular bisectors for the triangle in question #7 + Do the worksheet on Angle Bisectors.
Next quiz will be on Friday!

EC problem...Draw triangle ABC and medians AD,BE, and CF. Label their intersection point O.. If AD = 48, find AO and OD. If BE = 36, find OB and OE. If CO = 18, find OF and CF.

Tuesday, December 9, 2008

Algebra 2H pds 1,2
After going over many of the hw problems, I collected the hw papers just to make sure you are actually correcting your papers!
We went over some word problems involving squares and factoring in the solution.
HW pd 1-Finish the word problem we set up in class. In addition, do the following problems: page 326 #25,33,36, and page 327 # 65,67, and 69.
Pd 2 Do the same hw problems listed above.

EC problem-page 327 # 72.

Geometry H pds 3,5,6
After reviewing the concept of the altitude of a triangle, we learned how to draw the medians of a triangle. The median is a segment drawn from each vertex to the midpoint of the opposite side. We learned that the point of intersection is the centroid. It is also know as the center of gravity.
HW Worksheet-Draw the altitudes and medians for each question.

EC On cardboard or a manila folder, draw a triangle, and draw the three medians. Cut out your triangle. See if your centroid point is the center of gravity by balancing a pen or pencil at this point. Bring it in to show the class and me!

Monday, December 8, 2008

Week of December 8th

Algebra 2H pds 1,2
Third Quarter grades were given out. Also, the Factoring Quizzes were handed back.
Today, our new lesson was on the topic of solving Quadratic Equations by Factoring.
You should know what the Zero Factor Property is.
HW page 326 # 3,7,11,15,19,23,27,31,35, and 39.
EC Problem....page 333 # 53.

Geometry H pds 3,5,6
Everyone should know their grades for the third quarter in Geometry.
Today, we used the compass and straightedge to construct the 3 altitudes of a triangle.
HW- On the back of today's worksheet, draw an obtuse triangle with obtuse angle B. Construct the altitudes from points A and B.

EC problem..On another sheet of paper, draw a right triangle. Construct the 3 altitudes of this triangle.

Friday, December 5, 2008

Algebra 2H pds 1,2
Today was the quiz on factoring. An ec puzzle worksheet was given out after the quiz. It is due before class starts on Monday.
Another ec problem...A man driving down a country road notices chickens and cows in a field. He counts 70 heads. He also counts 186 legs. How many chickens and how many cows did he see?


Geometry H pds 3,5,6
BRING YOUR COMPASS AND STRAIGHTEDGE ON MONDAY!!!
Today, WE WENT OVER LESSON 5.2 on the Perpendicular Bisector Theorem and the Angle Bisector Theorem.
HW Worksheet Practice 5.2 Do all problems.
EC problem.... Draw a large acute angle and bisect it using a compass. Measure the perpendicular distance from any point on your angle bisector to the side of the angle. What do you notice?

Thursday, December 4, 2008

Algebra 2H pds 1,2
Make sure you review all of the types of factoring for tomorrow's quiz. This includes problems from all of the previous hw assignments on factoring as well as the review sheet problems. You must memorize the formulas for the sum and difference of cubes.
HW Do the puzzle worksheet -this will help you review for finding GCFs and trinomial factoring as well as difference of squares.

EC question...Did you enjoy the problems on factoring? Why or why not?

Geometry H pds 3,5,6
Today, we used the compass and straightedge to construct the perpendicular bisectors and angle bisectors of a triangle. These are examples of concurrent lines (they meet at one point.)
No hw tonight-just bring your compass and straightedge (and today's worksheet) tomorrow as well.

EC problem...Draw an isosceles triangle ABC. (you may construct one with your compass and straightedge). Construct the perpendicular bisectors of each side. Label the point of intersection O. Draw the circumscribed circle with radius OA.

Wednesday, December 3, 2008

Algebra 2H pds 1,2
We are now reviewing for the Quiz on Factoring this Friday.
Remember to ALWAYS look for a GCF first.
HW Worksheet Do all problems except for # 18.
The quiz will contain some multiple choice questions!

EC problem...The area of a rectangle is 2x^2 - 5x - 4 square inches. find the length and width of this rectangle.

Geometry H pds 3,5,6- BRING COMPASSES AND STRAIGHTEDGES TO CLASS TOMORROW!!!
Today was the due date for the Polygon Picture Projects. Most pictures were awesome!
We also began Chapter Five. We learned that the midsegment of a triangle is parallel to the 3rd side and equal to half of the 3rd side.
HW Worksheet 5.1 Do all problems on the side that says Practice 5-1.

EC problem...On a sheet of plain white paper, draw a scalene triangle (ABC) with a straightedge. Fold the paper from one vertex to the next vertex to find the midpoints of each side. Measure the sides of your triangle and your 3 midsegments. What can you conclude?

Tuesday, December 2, 2008

Algebra 2H pds 1,2
For planning purposes, the next quiz is scheduled for this Friday, December 5th. It will cover all of the factoring problems we have been learning.
Today, we learned the formulas for factoring the sums or differences of cubes. Try not to confuse the cubes with the squares.
HW page 313-314 # 79,83,87,91,95,97,64,68, and 72.
EC page 318 # 90

Geometry H pds 3,5,6
After going over the hw worksheet, we had a short quiz (5 problems) on HL and Overlapping Triangles.
No hw other than to finish your Polygon Pictures-due tomorrow!
EC problem....Look ahead in your textbook and describe what a median of a triangle is. Use a picture to illustrate your description.

Monday, December 1, 2008

Week of December 1

Algebra 2H pds 1,2
We are still learning different types of factoring problems. Today, we concentrated on factoring the difference of two squares. Some problems have more than one step.

HW pages 313-314 # 31,39,43,45,53,57,61,65,71, and 77.
EC problem....page 314 # 122.

Geometry H pds 3,5,6
We will have a short quiz tomorrow. It will cover HL and overlapping triangles.
Today, we went over proofs that involve overlapping triangles. We also went over two proofs that involve proving one pair of triangles congruent in order to prove a second pair of triangles congruent.

HW Worksheet # 1-11 all
EC problem....page 245 #22.

Wednesday, November 26, 2008

I hope that all of my students have a wonderful Thanksgiving celebration!

Algebra 2H pds 1,2
Today, we started the unit on special factoring. The first part of this section involves factoring Perfect Square Trinomials. The square roots of the first and last terms doubled must equal the middle term of the trinomial.
HW page 313 # 1-27 odds.
EC problems...page 307 # 54 and # 64.
Also, an extra credit puzzle was given out-due before class starts on Monday..

Geometry H pds 3,5,6
Today, we finished learned about proofs with overlapping triangles. We also reviewed problems on the isosceles triangle.
HW Finish the worksheet we started in class. Also, work on your Polygon Pictures-they are due Wednesday December 3rd.

EC problem....Find at least 25 different words from the word "Thanksgiving". You might be surprised to find how many new words can be made from a word that doesn't contain the letter "e".

Monday, November 24, 2008

Week of November 24th

Algebra 2H pds 1,2
Quizzes were handed back and gone over.
Next, we started the unit on Factoring. Today, we covered factoring that uses the GCF or grouping.
HW pages 299-300 #1,5,9,13,17,21,25,29,33,37,41, and 45.
EC problem...#48.

Geometry H pds 3,5,6
After reviewing Friday's quiz, we learned the HL Theorem (hypotenuse,leg) for proving that two triangles are congruent. We went over problems from the textbook as well as completing a worksheet for class notes.
HW pages 237-238 # 2,4,6,8, and 11.
EC problem...#14.

Friday, November 21, 2008

Algebra 2H pds 1,2
Today was the quiz on polynomials and linear programming (Sorry that the problem took so long to do!)
No HW this weekend...EC puzzle was given out...If you didn't receive one, you can get it on Monday.

EC question....Explain how the technique of linear programming might be useful to a company manufacturing different items.


Geometry H pds 3,5,6
After going over the multi-angle problems and reviewing isosceles triangles, everyone took a quiz on the Isosceles Triangles lesson.
EC puzzle was given out after the quiz.
No other hw.

EC problem...On the Internet find examples of isosceles triangles used in real life.
Bring them in!

Thursday, November 20, 2008

Algebra 2H pds 1,2
Tomorrow is the quiz on graphing systems of inequalities, linear programming, and monomials/polynomials. Go over all problems on the practice test to be prepared for this quiz.
EC problem...(x-3)^4 = ? (This means (x-3) to the fourth power.)


Geometry H pds 3,5,6
We went over problems involving isosceles triangles.
HW Do the worksheet on Finding all of the missing angles in the picture. Be careful-one wrong answer can cause an avalanche of other wrong answers!
EC problem....The vertex angle of an isosceles triangle = 2x-8. Each base angle = x+2. Find the value of x and the measure of each angle.

Wednesday, November 19, 2008

Algebra 2H pds 1,2
After going over problems involving the multiplication of polynomials (square and foil methods), students received the Practice Test. The next quiz will be on Friday. It will be very similar to the Practice Test.
HW Complete the Practice Test for tomorrow.

EC question...Find the product of (3x-4)(2x+7)(9x-10).

Geometry H pds 3,5,6
Today, we went over the proof for the theorem that the base angles of an isosceles triangle are always congruent. The converse statement is also true.
So, if the base angles of a triangle are congruent, then the 2 sides next to those angles are congruent.
HW Worksheet--Do Side 4.5 for HW.

EC problem....Draw isosceles triangle ABC with angle A= angle B. Draw in the angle bisector of the vertex angle (C).
Prove that side AC is congruent to side BC. Use a two column proof.
If done correctly, I will reward 5 extra credit points.

Tuesday, November 18, 2008

Week of November 17th

Algebra 2H pds 1,2
Our next quiz is scheduled for Friday. It will include graphing inequalities, linear programming, and Sections 5.1-5.3.
Today, we covered Sums and Differences of Polynomials. We also went over the terms coefficient, degree, monomial, binomial, and trinomial.
HW pages 286-287 # 13,17,21,25,29,33,37,41,45,49,53, and 57.
EC problem....#62.

Geometry H pds 3,5,6
After going over the review sheet of Chapters 1-3, we learned how to construct an equilateral and isosceles triangle. We also learned how to identify the parts of an isosceles triangle (legs, base, vertex angle , and base angles).
HW page 233 # 41-46 all
EC Construct an isosceles triangle and measure the base angles with a protractor. What do you notice?

Friday, November 14, 2008

Algebra 2H pds 1,2
After reviewing yesterday's lesson on exponents and expressions containing exponents, we learned how to write very large and very small numbers in scientific notation. We also need to know how to write numbers in scientific notation back to the expanded form. At the end of class, we played the Memory Game.
HW pages 278-279 # 54,58,73,79,83,87,91,95,99, and 118.
EC problem...page 280 # 132 (easy question!)

Geometry H pds 3,5,6
Today was the test on proofs involving Congruent Triangles. There were also some short answer questions.
No hw this weekend!
EC question...Are equilateral triangles always congruent? Why or why not? Give an example for your answer.

Thursday, November 13, 2008

Algebra 2H pds 1,2
After reviewing the problem on Linear Programming, we started Chapter Five. It is titled "Exponents and Polynomials". Today, we learned the exponents part. We reviewed all of the rules and properties for exponents in algebraic expressions.

HW pages 277-278 # 1,5,9,13,17,21,25,29,33,37,41,45,49, and 53.
EC problem...#40.


Geometry H pds 3,5,6
Today, we reviewed the steps for writing proofs. We are having a quiz on Congruent Triangles and Proofs tomorrow.
HW page 250 # 19-30 all.

EC problem....Explain in your own words the difference between SAS and ASA.

Wednesday, November 12, 2008

Algebra 2H pds 1,2
We went over a problem using Linear Programming.
HW Do #2 on the Linear Programming worksheet....

EC
Review problem....If f(x)= x-2 and g(x)= x^2+4, find g(f(x)).
Another ec....What is the difference between a spinet and console piano? Bring in pictures if possible.

Geometry H pds 3,5,6

We are continuing our quest to learn how to write 2-column proofs for congruent triangles. We went over several 5 step proofs in class today.
HW Worksheet- Do BOTH sides #1-11 on the front and # 1-3 on the back.

EC question....Why do you think learning 2 column proofs is important for geometry and life? Answer in at least 3 sentences. If you don't think it is important, also answer in at least 3 sentences.

Monday, November 10, 2008

Week of November 10th

Algebra 2H pds 1,2
We learned about linear programming, which is an application of graphing inequalities to a real life problem, such as maximizing profit.
HW Finish the Whatzup Toyz worksheet.

EC problem....Graph the solution set of 3x+2y > 6 and
4x-2y < 8.


Geometry H pds 3,5,6
We are learning how to write 2 column proofs involving congruent triangles and the fact that corresponding parts of congruent triangles are congruent.

HW Textbook pages 222-223 # 2,3,6,7
EC problem....# 8.

Thursday, November 6, 2008

Algebra 2H pds 1,2
We went over graphing systems of linear inequalities. Make sure your shaded regions are easy to see.
HW page 259 # 1,5,9,13, and 17.
EC problem...#20.

Geometry H pds 3,5,6
Today, we learned that triangles can be congruent by ASA and AAS, as well as SSS and SAS.
HW Worksheet -Do Side 4.3 # 1-14 all
EC problem.... Explain the basic difference between ASA and AAS. Draw diagrams of triangles to show the difference as well.

Wednesday, November 5, 2008

Algebra 2H pds 1,2
Today was the long quiz on Systems of Equations.
No hw....
EC problem...Ms Jones invests $12,000 in two accounts, one of which pays 12% per year, and the other pays 15% per year. If the interest earned after one year is $1,650, how much money is invested in each account?

Geometry H pds 3,5,6
Today, we saw the many different projects of Optical Art.
We also learned that there are shortcuts for finding that triangles are congruent. One of them is SSS and the other is SAS. Those are the ones we went over today.
HW Worksheet # 1-15 all

EC Show by drawing two triangles and marking them with arcs and tick marks the difference between SAS and SSA. Label one triangles ABC and the other DEF.

Tuesday, November 4, 2008

Algebra 2H pds 1,2
Tomorrow is the BIG QUIZ on systems of Equations. In addition to the problems on the practice test, you should also know how to solve the Investment Problems. Those are the ones with investing a certain amount of money at two different rates of interest.
BE PREPARED!!!!

EC problem...The sum of Kari's age and her mother's age is 52. Kari's mother is 20 years older than Kari. How old is each?


Geometry H pds 3,5,6
We went over the hw on pages 200-201. We also went over # 28 which is a proof on how to show that two triangles are congruent. (Show that the 6 pairs of corresponding parts are congruent to each other.)
HW Finish the Puzzle on Congruent Figures.
Also, OP ART PROJECTS are due TOMORROW!!!!!

EC problem....Sketch 2 congruent triangles. Label one of them triangle HIP and the other triangle CAT. Name the 6 congruent parts.

Monday, November 3, 2008

Algebra 2H pds 1,2
Today, everyone worked on the Practice Test for Wednesday's quiz. The quiz problems will be VERY similar to these.
HW Finish the Practice Quiz.
EC problem.....Solve the system x+y-z=7
x+y+z=9
2x=8


Geometry H pds 3,5,6
We started Chapter 4 today. This chapter is about Congruent Figures. Today, we learned how to correctly write the corresponding parts of congruent figures. Congruent figures are figures that have the same size and shape.
HW pages 200-201 # 2-26 evens

EC problem....Are all squares congruent? Why or why not?

Friday, October 31, 2008

Algebra 2B pds 1,2
We finished the word problems section today by going over the investment and rate problems. Hopefully, all of you are understanding the concepts involved in these problems!
HW page 250 # 9,11 and page 251 # 21,23

EC problem....It takes a boat on a river 2 hours to travel 28 miles downstream and 3 hours to travel 30 miles upstream. What is the speed of the boat and the current of the river?


Geometry H pds 3,5,6
It is obvious that some of you did NOT review the work we went over in class on Thursday (yesterday). The quiz was given today, and students missed problems that were almost identical to the ones we did in class the day before.
No homework this weekend! BUT....you should start working on your Op Art Projects, which are due on Wednesday!!!!!
EC Find the interior angle sum, exterior angle sum, and the measure of each interior and exterior angle of a regular dodecagon (12-gon).

Thursday, October 30, 2008

Algebra 2H pds 1,2
We are continuing our journey of learning different types of word problems with 2 or 3 variables. Today, we covered coin problems and mixture problems.
An example of each type of problem was demonstrated as classwork.
HW pages 250-251 # 15,17,25,27 and
page 226 # 4.
EC problem...The sum of three numbers is 20. The first number is the sum of the second and the third. The third number is three times the first. Find the numbers.
(There will be some negative answers.)


Geometry H pds 3,5,6
Tomorrow is the big quiz on Angles of a Triangle, and the Angles of a Polygon. Memorize the formulas!!! Learn all of the triangle vocabulary as well. Remember that the sum of the exterior angles of any polygon = 360, and each exterior angle of a regular polygon = 360/n.
HW Study and be prepared for the quiz.....Most questions will be similar to the problems we went over in today's class.

EC Question...How will you prepare for tomorrow's quiz? Answer in at least 4 sentences.

Wednesday, October 29, 2008

Algebra 2H pds 1,2
After reviewing the hw on systems of equations in 3 variables, we went over a system with fractions. Then, we started the section of chapter 4 on Applications (word problems). We went over examples on number word problems and ticket word problems.
HW page 226 # 29,21
page 250 # 3,5,7

EC problem....John has 20 coins totaling $3.20. If he has only dimes and quarters, how many of each coin does he have?



Geometry H pds 3,5,6
Today, students received the information for the next project due on Wednesday, November 5th. It is on Op Art (Optical Art). All projects must be done on solid white paper.
We also started our review for Friday's quiz. Worksheets were given out, one for classwork and one for homework.
HW Worksheet # 1-7 all

EC problem....If each interior angle of a regular polygon= 150, what is the name of the polygon?

Tuesday, October 28, 2008

Algebra 2H pds 1,2
After going over most of the hw problems, we learned how to solve a system of equations in 3 variables with each equation containing just 2 variables.
You must be highly organized to correctly do these problems!
HW page 226 # 3,7,10,17, and 19
EC problem.....#24

Geometry H pds 3,5,6
Half the class took the District Quarterly Test for Geometry. Students worked on a vocabulary worksheet which explained the definitions of terms with similar prefixes to the polygons we have been studying.
HW Finish the vocabulary worksheet if not finished in class.
EC problem....Solve for z, y and x in this multiplication puzzle:

yx (yx times 7 = zxx)
_7_
zxx

Monday, October 27, 2008

Halloween Week

Algebra 2H pds1,2

We learned how to solve systems of equations in three variables. systems may have one solution, no solution, or no unique solutions.
Examples of all three types of solustions were discussed during class.
HW page 226 # 1,5,9,13, and 15. Please check your answers (in the back of the book) AFTER doing each problem.

EC problem.....# 30 (Has no fractional answers)-If done correctly, I will give more credit for this problem!

Geometry H pds 3,5,6
The geometry quarterly exam was given to all students who did not attend the field trip. Everyone else will take the quarterly tomorrow. If there is not enough time to finish, you may come back at lunch or after school to finish.
No hw due to the quarterly test.
EC question....Why do you think the school district requires all geometry students to take the same quarterly test? Answer in at least three sentences.

Friday, October 24, 2008

Algebra 2H pds 1,2
Today was the Pep Rally, which meant that all classes were shorter in length.
We managed to go over the Substitution Method for solving systems of equations.
This is when you substitute an expression for one of the variables in order to solve for both answers.
HW page 219 # 31,39,41,45,29.
EC problem...What is 10 percent of 90 percent of 80 percent?

Geometry H pds 3,5,6
Classes were shorter due to the Pep Rally today.
We reviewed the formulas for finding the sum of the interior and exterior angles of any polygon. Sum of the interior angles = 180(n-2)
Sum of the exterior angles = 360.
Each exterior angle of a regular polygon = 360/n.
HW Worksheet--Do ALL questions. It will be collected on Monday.
EC problem....Given the initial letters of the missing words, complete this sentence:
There are 180 D in a T.

Thursday, October 23, 2008

Algebra 2H pds 1,2
After reviewing the hw briefly, we learned about the elimination method for solving systems of equations.
HW page 219 #11,15,19,23, and 27.

EC problem page 220 # 62.

Geometry H pds 3,5,6
After reviewing the hw on triangles, we learned about the sum of the interior and exterior angles of any polygon. We also went over the terms convex and concave polygons. Also, we learned that regular polygons are both equilateral and equiangular. Each interior angle of a regular polygon = 180(n-2)/n. Each exterior angle = 360/n. The sum of the exterior angles of any polygon = 360.
HW Worksheet---Do ALL problems.

EC problem...Draw a hexagon. Label its interior angles 120,130,110,140,100, and 120.
Draw the 6 exterior angles. Find the measure of each exterior angle. Find their sum.

Wednesday, October 22, 2008

Algebra 2H pds 1,2
Today, we started Chapter 4, which is on Systems of Equations and Inequalities.
We worked through several problems involving the graphing method of solving 2 equations in 2 variables.
Most of us graphed these equations on the graphing calculators. When I checked the calculators 2nd period, I discovered to my dismay that several calculators had obscene messages on them. Who could be the guilty party?
HW page 219 # 1-9 odds
EC question...Graph the system 6x - 2y = -10
6x + 3y = -15. Name the solution.

Geometry H pds 3,5,6
Today, we worked in groups on a lesson called Amazing Amanda. It involved the formula for finding the sum of the interior angles of any polygon.
HW page 161 # 11-18 all

EC problem....Find the sum of the interior angles of a 26-gon. Show your work.

Tuesday, October 21, 2008

Algebra 2H pds 1,2
Hopefully, everyone did well on the quiz today.
EC puzzle was given out to everyone...
No other ec tonight!

Geometry H pds 3,5,6
We reviewed the hw problems, and learned how to figure out the sum of the interior angles of a quadrilateral and pentagon.
HW Worksheet on Angles of a Triangle-both interior and exterior. Do all problems # 1-18.
EC problem...
The exterior angle of a triangle is 4x+36. The two remote interior angles are x+20 and x+38. Find x and the value of each angle. Draw a picture for this problem.

Monday, October 20, 2008

Week of October 20th

Algebra 2H pds 1,2
Tomorrow is the quiz on Sections 3.5-3.7. To do well, you must understand ALL problems from today's practice test (we went over every problem in class).

EC---Explain in detail how you will prepare for tomorrow's quiz. Be specific.

Geometry H pds 3,5,6
Today, we learned that the sum of the 3 angles in any triangle = 180 degrees.
We also learned about the exterior angle and remote interior angles of a triangle. The exterior angle= the sum of the 2 remote interior angles.
HW pd 3 pages 150-151 # 2-28 evens Copy # 24,26
pds 5,6 Worksheet Do ALL problems.

EC In a triangle, one angle = 3x+8, another angle = 2x-2, and a third angle =5x+4. Find x and the measure of each angle.

Friday, October 17, 2008

Algebra 2H Pds 1,2
After going over the hw problems, students received the practice test to prepare for Tuesday's quiz on Sections 3.5-3.7.
This practice test is the hw assignment for this weekend.
EC problem....If f(x) = 2x-5 and g(x) = 3x^2 +1, find g(f(x)).

Geometry H pds 3,5,6
Today was the surprise quiz on parallel line and the special angles created by them and their transversal. All student must MEMORIZE the relationships between parallel lines and alternate interior angles, corresponding angles, and same-side interior angles.
NO HW this weekend!

EC problem....Draw a map of our school's location, showing that Hollywood and Sunset Boulevards are parallel and cut by Highland Avenue as a transversal. Include Orange St as well...

Thursday, October 16, 2008

Algebra 2H pds 1,2
We went over Lesson 3.7 in class. It is on Composition of Functions, in which the output of the first function becomes the input for the second function.
HW pages 190-191 # 3,7,11,15,19,23,27,33,39,43,47, and 51.
EC problem....page 190 # 36.

Geometry H pds 3,5,6

Today, we learned the converses of our previous lesson on parallel lines and corresponding, alternate interior, and same-side interior angles. This time the angles are congruent first, and then we say which lines are parallel.
HW Worksheet # 2-13 all

EC problem...On the internet, find real life examples of parallel lines and transversals.

Wednesday, October 15, 2008

Algebra 2 H pds 1,2
We used the graphing calculator to find the intersection of two equations related to the volume and surface area of a sphere. On your next quiz, you will do a similar problem using the calculator.
No hw due to the shortened day schedule.
EC problem....Did the graphing calculator help you to better understand the concepts of graphing equations and functions? Why or why not? (Answer in at least 3 sentences.)

Geometry H pds 3,5,6
We went over the hw puzzle during class, reviewing the concepts of alternate interior, corresponding, and same-side interior angles as related to parallel lines being cut by a transversal.
HW textbook page 132 # 23,24,and 25.

EC problem.....How many four-letter words can you find in the word "twinkle"? (Try for at least 15.

Tuesday, October 14, 2008

Algebra 2H pds 1,2
We finished Lesson 3.6 today. We learned about combining functions like f(x) and g(x).
HW page 183 # 27-49 odds
EC problem.....If you wrote down all the numbers from 5 to 83, how many times would you write the number 4?
Good luck on the PSAT tomorrow!

Geometry H pds 3,5,6
We went over the quiz as well as the hw problems.
HW Puzzle worksheet on Parallel Lines with corresponding, same-side interior, and alternate interior angles.

EC problem....If you wrote down all the numbers from 5 to 83, how many times would you write the number 4?
Good luck on the PSAT tomorrow!

Monday, October 13, 2008

Week of October 13th

Algebra 2H pds 1,2
After going over the hw on graphing absolute value functions and parabolas with domain and range, we started lesson 3.6 on Function Notation. F(x), read "f of x" means the same as Y.
HW page 174 # 26,36
page 182 # 1-23 odds.

EC problem...page 183 #54 (easy one!)

Geometry H pds 3,5,6
We started Chapter 3 today. This Chapter is on Parallel Lines. Today, we covered most of lesson 3.1-we learned about corresponding angles, alternate interior angles, same-side interior angles and alternate exterior angles.
If a transversal intersects two parallel lines, then alternate interior angles and the corresponding angles are congruent to each other. The same-side interior angles are supplementary.
HW Worksheet # 1-15 all
EC problem---On your own paper, draw two parallel lines with a transversal. Put in numbers for the 8 angles formed. Name all pairs of a)corresponding angles
b) alternate interior angles
c) same-side interior angles.
Measure your angles with a protractor. Do your answers match the postulates and theorems we learned in class today?

Friday, October 10, 2008

Algebra 2H pds 1,2
Today, we explored functions on the graphing calculator. We graphed a parabola and the absolute value function. We also went over how to write the domain and range for these functions.
HW pages 173-174 # 21,22,24,25,29,33, and 35.
EC problem # 44.

Geometry H pds 3,5,6
Today was the quiz on constructions and most of Chapter two.
EC was given out after the quiz. It is due before class starts on Monday.
Have a great weekend!

Wednesday, October 8, 2008

Algebra 2H pds 1,2

After going over the hw problems on domain and range of relations and functions, everyone wrote out and answered problem # 38 on page 174. Your work will be examined by other math teachers at our department meeting next Tuesday. I will also grade your work as well.
No hw-Enjoy the day off!

EC (Brain teaser) problem....Find a five-digit number is which the first and the last digits are the same and the first digit is two less than the second and four less than the third. The fourth digit is one-fourth of the third digit. The sum of the first and last digits equal the third digit.

Geometry H pds 3,5,6

After admiring the Daisy Design projects, we reviewed Chapter two for the quiz on Friday. The quiz will cover our two constructions (angle bisector and perpendicular bisector) as well as the Laws of Detachment and Syllogism, conditional, converse, bi-conditional, and properties of algebra.
HW Review for Friday's quiz....Go over all worksheets...

EC--- Explain in at least four sentences how you will prepare for Friday's quiz. Be specific.

Tuesday, October 7, 2008

Algebra 2H pds 1,2
Today, we started the part of Chapter 3 on Functions. We learned zabout the domain and range of a function. We also found out that not all ordered pairs (relation) are functions. The domain can NOT repeat.
HW page 172 # 1-8 all
page 174 # 37.

EC problem...Is y=x^2 a function? Why or why not?
Is x=y^2 a function? Why or why not?

Geometry H pds 3,5,6
We went over the properties from algebra that will be used in future geometric proofs. They are listed on page 103 of your textbook.
HW Worksheet 2.4 Do all problems.
Your Daisy Design projects are due tomorrow!!!

EC problem....Write the two statements that form this biconditional:
Two lines are parallel if and only if they are coplanar and do not intersect.

Monday, October 6, 2008

Week of October 6

Algebra 2H pds 1,2
Today was the quiz on linear equations with graphing. I hope everyone did well!
HW Puzzle on using the slope formula. This will be collected, so please do your very best job!
EC problem....Find the equation of the line perpendicular to 2x+5y=10 and containing the point (3,-5).

Geometry H pds 3,5,6
After going over the hw, we did some more work with the Law of Detachment and the Law of Syllogism. We started Section 2.4 as well.
HW Page 100 # 1-10 all-This is a review of all of the Chapter 2 work which will be on your next quiz (Friday).

EC problem.....Write the following sentence in If-Then form...
All baseball players do 100 push ups every day.
If you know that Mickey Mantle was a baseball player, can you make a conclusion? Why or why not?

Friday, October 3, 2008

Algebra 2H pds 1,2

Today was the debut of my new "ELMO" in class. We reviewed for Monday's quiz on Lessons 3.1-3.4. Please go over the problems this weekend, especially if you had difficulty during the class review.

EC problem....Graph 3x+4y<12 and x-4y>6 on the same set of axes. Shade the common intersection.

Geometry H pds 3,5,6
The "ELMO" made its debut in today's class. We went over the hw and lesson 2.3 on the Law of Detachment and the Law of Syllogism.
HW Worksheet 2.3 # 1-12 all

EC problem. All cows eat grass. Elsie eats grass. What conclusion, if any, can you make?
All cows eat grass. Elsie is a cow. What conclusion, if any, can you make?
Which law did you use to answer these questions?

Thursday, October 2, 2008

Algebra 2 H pds 1,2
We are currently reviewing for our third quiz on graphing and linear equations. The quiz will be on Monday,
HW Review Practice Test # 1-14 all
EC Write 2 equations that will graph into perpendicular lines. Graph your equations.

Geometry H pds 3,5,6
Today, we learned how to write conditional and converses (must both be true) into biconditional statements. Good definitions of geometric terms can always be written in this form.
HW Worksheet 3.2 # 1-15 all
EC problem- Coplanar points are points that lie in the same plane.

Write this definition as a conditional. Then, write its converse. If both statements are true, then write the biconditional as well.

Wednesday, October 1, 2008

Algebra 2H pds 1,2
After going over the hw on linear equations and graphing, we reviewed how to graph linear inequalities by graphing the boundary line first and then shading the appropriate section for the inequality.
HW pd 1 page 163 # 2,6,10,18,26,36, and 38.
pd 2 page 163 # 2,6,10,14,18,22,30, and 38.

EC problem....Graph the inequality x/3 +y/4 > 1

Geometry H pds 3,5,6
After going over the requirements for the Daisy Design project, we started Chapter Two. We learned about conditional statements, and how to write them in if-then form. We also learned how to write the converse of a conditional statement.
HW Worksheet # 1-21 all

EC problem....Write the following sentence in if-then form:
All cows eat grass.
Next, write the converse of your conditional statement. Is it true or false? If false, provide a counterexample.

Monday, September 29, 2008

Week of September 29

Algebra 2H
After going over the hw problems on equations of a line, we went over a problem involving perpendicular line equations. We then graphed our perpendicular lines on the graphing calculators. (At least, most of us did!)
HW pages 153-154 # 38,43,38,54,56, and 60.
EC problem....#62.

Geometry H pds 3,5,6
After reviewing the constructions for angle bisector and perpendicular bisector, we went over the new lesson on the distance formula.
HW page 56 # 2-12 evens.
EC problem....On graph paper, draw a triangle with vertex points at A(-3,2),B (5,4) and C(0,-2). Which side is the longest?

Thursday, September 25, 2008

Algebra 2H pds 1,2
After going over hw problems involving slope, we went over Section 3.3 on Equations of a Line. We went over the slope-intercept form (y=mx+b) and the point slope form.
HW pages 152-153 # 12,17,24,27, and 37 (pd 1 only)
# 12,17,24,30, and 36 (pd 2 only)

EC problem---page 158 # 58

Geometry H pds 3,5,6
Today, we went over constructions using the compass and straightedge.
First, we constructed the perpendicular bisector of a segment. Next, we constructed a perpendicular line from a point on a line segment. Then, we constructed the perpendicular from a point not on the line sement. Finally, we constructed the angle bisector of a given angle.
No hw tonight.

EC problem....With your protractor, draw an angle of 130ยบ. Using your compass, bisect this angle. Check to make sure each bisected angle = 65ยบ.

Wednesday, September 24, 2008

Algebra 2H pds 1,2
We finished the section on parallel and perpendicular lines. Parallel lines have the same slope, and perpendicular lines have slopes that are negative reciprocals of each other. We also went over graphs of real life situations.
HW pages 141-143 # 22,24,26,30,32,34,38,40, and 43.
EC problem...page 145 #50

Geometry H pds 3,5,6
After going over the hw worksheet, we had a quiz on Pairs of Angles. At the end of class, I demonstrated how to find the midpoint of a segment using a compass and straightedge.
No HW tonight!

EC Draw a segment on your paper of 3.5 inches. Label your segment XY. Using a compass and straightedge, find the midpoint of segment XY.

Tuesday, September 23, 2008

Algebra 2 H Pds 1,2

In the short period of time we had, we went over a few hw problems, and then learned about the slope (rise/run) of a line. We also went over the formula for the slope.
HW pages 140-142 # 2-20 evens.
EC problem...page 142 # 30 (easy one!)

Geometry H pds 3,5,6
We finished going over the lesson on Pairs of Angles (vertical, complementary, and supplementary).
HW Finish the worksheet started in class. There will be a short quiz tomorrow.
Also, BRING YOUR COMPASSES TO CLASS!!! We will hopefully be learning how to locate the midpoint of a line segment using the compass and straightedge.

EC question. Make up your own diagram problem involving vertical angles. Solve it.

Monday, September 22, 2008

Week of September 22

Algebra 2H pds 1,2

We started Chapter 3 today. The first lesson was on graphing linear equations with the intercept method. We also went over horizontal and vertical line graphing.
HW pages 128-130 # 3,7,11,15,19,23,27,31, and 41

EC problem....Page 130 #44

Geometry H pds 3,5,6

After going over the first quiz, we finished lesson 1.6- We went over what you can assume when looking at a diagram in geometry class.
HW Worksheet 1.6 Do ALL problems...this will be collected and graded tomorrow!

EC problem....Can vertical angles be adjacent? Why or why not? Answer in at least two full sentences.

Friday, September 19, 2008

Algebra 2 H pds1,2

Today was the quiz on Absolute Value Equations and Inequalities. Hope you all did well!
EC puzzle on absolute value was given out after the quiz. If done perfectly, it will count as 2 hw assignments!
You no longer have to bring your textbooks to class since we have a class set in our room. Please leave them at home in a safe place!
Another EC for my blogger fans---Write the inequality -8< x < 8 as a single inequality involving absolute value. This problem is on page 111 # 46.

Geometry H pds 3,5,6

Today, we went over the four pairs of angles that you must learn for this class. They are vertical angles, adjacent angles, complementary angles, and supplementary angles.
HW Worksheet Do ALL problems.
We now have a class set of books-this means you may leave your books in a safe place at home from now on!

EC problem... Two lines intersect and form vertical angles. If one of the vertical angles is 5x-18 and the other vertical angle is 3x+ 20, what is x, and what is the measure of each angle?

Thursday, September 18, 2008

Algebra 2 H pds 1,2
Welcome to our new students!
Tomorrow is our second quiz-on Absolute Value Equations and Inequalities.
HW Do the Practice Test handed out at the end of today's class.
NO EC tonight due to the quiz....

Geometry H pds 3,5,6
Today was our first quiz. Bring your books to class tomorrow.
EC worksheet given out in today's class. Pd 5 will get this tomorrow.

Wednesday, September 17, 2008

Algebra 2 H pds 1,2

Our next quiz is on Friday. It will be on absolute equations and inequalities.
Today, we covered absolute inequalities in more depth.
HW page 111#26, 28,30, 34, 36 (I think)

EC problem....# 42

Geometry H pds 3,4,6

Tomorrow is our first quiz. Be prepared by going over all of the vocabulary and algebra type problems in these lessons (1.1, 1.3, 1.4, 1.5, and part of 1.6). Since only one person stayed after school for tutoring, I will assume that ALL of you are prepared for the quiz!
Bring protractors, binders, and compasses to class tomorrow!

EC What angle do the hands of the clock make at 4:oo pm?

Tuesday, September 16, 2008

Algebra 2 H pds 1,2

We learned how to solve inequalities with absolute value during class today. We used a method of solving that will be utilized in calculus problems.
HW page 111 # 16,20,24,25, and 26.

EC problem....Solve # 34 (Remeber to switch the inequality sign when multiplying or dividing by a negative number)
#34 Abs (3- 3/4 x) > 9

Geometry H pds 3,5,6

We started our review for Thursday's quiz. Since this is the first quiz, it is extremely important that you do your best. It will be the main way I will be determining your grade for the first report card.
HW pages 71-73 # 1-9 all, # 23-30 all, and # 32.

EC problem...Estimate the angle formed by the hands of a clock at 5:00 pm. Explain how you got your answer in at least one sentence.

Monday, September 15, 2008

WEEK OF SEPTEMBER 15th

Algebra 2H pds 1,2

Today, we learned how to solve equations with absolute value. Examples were done as class notes.
HW pages 104-105 # 2,5,8,13,23,25,29,34,42, and 45.

EC problem....page 105 # 44

Geometry H pds 3,5,6

Today, we learned about angles, and how to measure them with a protractor.
We also went over the Angle Addition Postulate.
Quiz will be on Wednesday.

HW Worksheet --Do BOTH sides of this worksheet!

EC problem....If the measure of angle BAC + measure of angle CAD = measure of angle BAD, and angle BAC = 3x+8 and angle CAD = 2x -13, and angle BAD = 120ยบ, find x and angles BAC and CAD.

Friday, September 12, 2008

Algebra 2H pds 1,2

Today was the quiz on Chapter One. Hope you did well!
BRING YOUR BOOKS TO CLASS ON MONDAY!!!!

EC problem...Find the next 2 terms in the sequence 4,8,___,____ if the sequence is arithmetic.
Find the next 2 terms in the sequence 4,8,___,____ if the sequence is geometric.


Geometry Honors pds 3,5,6

We learned about the midpoint of a segment and the segment bisectors today.
You will need to bring your protractors to class on Monday. Also, bring your books as well.

HW Worksheet Practice 1.5 # 1-15 all
EC Problem....Draw 2 intersecting segments AC and BE with the intersection point midpoint D.
If ED = x+4 and DB = 3x-8, find ED, DB, and EB.

Have a great weekend!

Thursday, September 11, 2008

Algebra 2 Honors pds 1,2
Tomorrow is our first and only quiz on Chapter One. If you go over the problems from the practice quiz, you should do fine.
HS Be prepared for the quiz tomorrow!

EC problem....Suppose you own an antique picture that triples in value every 3 years. If you bought the picture for $300 in 1995, how much will the picture be worth in 2010 (15 years later)?


Geometry Honors pds 3,5,6

After going over hw problems, I collected the hw papers for lesson 1.4. Next we started Lesson 1.5 on Measuring Segments. You need to understand the concepts of absolute value and equation solving to do well on this lesson. We went over the Ruler Postulate (P1.5), as well as the Segment Addition Postulate (P1.6).
HW page 33 # 1-11 all

EC problem....Draw a line with three collinear points J, K, and L in that order from left to right.
If JK = 5x-8, and KL = 7x+24 and JL = 128, find the value of x and JK and KL.

Wednesday, September 10, 2008

Algebra 2 H pds 1,2
We finished the review of Chapter One in class today. You are responsible for understanding # 1-100 on the Review Sheet.
HW Chapter One Test A # 1-22 all.

EC problem....Write the first twelve terms in the Fibonacci sequence. Which terms are divisible by 3?
Another EC...Look up the mathematician Fibonacci on the internet. Write a few sentences about his life.

Geometry H pds 3,5,6
We finished Lesson 1.4 in class today. This lesson is on segments, rays, parallel and skew lines, and parallel planes. We went over problems from page 25 during class.
HW Worksheet 1.4--Do ALL problems.

EC problem....Draw a line. Label points A, B, C, and D in order from left to right on your line.
a) Name the ray opposite to ray CA.
b) Are rays BA and BD opposite rays? Why or why not?
c) Are rays CB and BC opposite rays? Why or why not?
d) Name the ray that is the same ray as ray CB.

Tuesday, September 9, 2008

Algebra 2 H pds 1,2
By now, everyone should have textbooks. Please bring these to class tomorrow.
First quiz is on Friday...
HW Finish # 82-100 on the review worksheet.
EC Find the next 2 terms in the sequence 1,8,27,64,___, ____
3,5,9,17,33,____,____

Geometry H pds 3,5,6
After taking hw questions, I collected the hw papers.
We started lesson 1.4-this is on Segments, Rays,Opposite Rays, and Parallel and Skew Lines.
HW page 25 # 1-9 all
EC problem page 26 # 24

Monday, September 8, 2008

Week of September 8th

Algebra 2 Honors pds 1,2

After I checked your binders, we went over the hw, and then reviewed the properties of real numbers from algebra one. These include commutative, associative, identity elements, and inverse properties.

HW worksheet # 71-82 all

We will be finishing the worksheet tomorrow and receive textbooks.

First Quiz will be on Thursday or Friday of this week.



EC problem....A perfect number is a whole number that is equal to the sum of all its divisors, except itself. The first perfect number is 6 because 6= 1+2+3. The next perfect number is between 20 and 30. Find it.

Geometry Honors pds 3,5,6

We finished lesson 1.3 in class. This lesson is on points, lines, and planes. We went over the first four postulates about points, lines, and planes. These are on pages 18 and 19 of your textbook. These should be memorized.
We also used our compasses and straightedges to construct a regular hexagon. This is a hexagon in which all sides and angles are equal.

HW Worksheet on Lesson 1.3---Do ALL problems..
EC a) On the back of your worksheet, construct a regular hexagon.
b) Draw another circle. Make the 6 points once again, but connect alternate points to form a triangle. What kind of triangle have you drawn?

Friday, September 5, 2008

Algebra 2 Honors pds 1,2
We are continuing our review of Algebra One material. We covered the definitions for integers, rational and irrational number, inequalities, and prime numbers. In pd 2, we graphed inequalities on a number line as well using parentheses and brackets.
HW Worksheet # 37, # 61-74 all Also, binders will be checked.

EC problem....Simplify 2856/4914 by using the prime factoring method.

Geometry Honors pds 3,5,6
Classes received textbooks today. Since these are brand new, students should cover them. You may be charged a fine if the book is returned in poor condition.
We went over the undefined terms point, line, and plane, as well as the defined terms space, collinear and non-collinear points. These are in your textbook in lesson 1.3.
HW Bring your binders with dividers for cw, hw, quizzes, and extra credit work for Monday. Also, bring your compass, ruler, and protractor to class.

EC problem....Draw Plane M. Draw line AB and line CD intersecting at point E in your plane.
Name 2 different sets of collinear points in your picture.

Thursday, September 4, 2008

Algebra 2 Honors pds 1,2
After reviewing yesterday's lesson on the sum of consecutvie numbers, we started our review of algebra one material. Topics we went over include vocabulary, order of operations, exponents, and set notation symbols.
HW pd 1 worksheet # 25-32 all, 38-40 all, and 45-52 all

EC problem..Let A = (0,2,4,6) and B=(1,2,3,4,5) and C= (1,3,5,7)
Find a) B U C.
b) B intersection with A.
c) (A U C) intersection with B

Geometry Honors pds 3,5,6
We went over the worksheet from yesterday's class. Vocabulary we learned today include: conjecture, inductive reasoning, and counterexample. You are responsible for knowing these terms.
We went over problems that use conjectures and counterexamples.
No HW tonight other than NOT to forget what we learned in class today!

EC problem...Make a table and use inductive reasoning to form a conjecture about the sum of the first 30 positive even numbers.

Wednesday, September 3, 2008

September Posts

Pds 1,2 Honors Algebra Two
Today, we went over the rules, requirements, and syllabus for this semester. We also learned that the mathematician Karl Gauss was a smart thinker! He figured out how to add the first 100 whole numbers in a few moments.
HW Bring in the syllabus with your parent's signature to tomorrow's class.
EC problem----Find the sum of the first 200 whole numbers. Show your work...

Pds 3,5,6 Honors Geometry
We went over the rules, requirements, and syllabus for this semester. By Monday, you will need to have a compass, ruler, and protractor. Also, a binder for this class is required.
We went over the basic terms used in geometry, and then started problems involving patterns.
HW Bring in the syllabus with your parent's signature to tomorrow's class.

EC problem....Find the next two numbers in these sequences
1,4,9,16, _____, ______

1,1,2,3,5,8,13,_____,_____

Friday, June 20, 2008

June 2008

To All of My Classes:

All classes are working on Review Sheets for the Final Exam.
We are reviewing these problems during class.-This important test will count 25% of your final grade. All questions from the Review Sheets will be on the Final.

Binders are due the day of the final exam, and will be counted 100 points.

Also, please bring your textbooks to class on Monday or Tuesday.

For those of you who read my daily blogs and tried the extra credit problems, thank you for giving me the motivation to continue writing each day.

Mrs. Kamen

Thursday, June 19, 2008

June 2008

Algebra 2H pd 1
Today was the last quiz before the final exam.
The first review sheet for the Final Exam was given out after the quiz.
HW Do ALL problems on this Review Sheet....You will probably have to check old notes.

EC Question....Was there anything in Algebra 2B that you found interesting to learn? Tell why you chose that topic.

Geometry H pds 2,4
Today was the last quiz before the Final Exam. It was on Solids.
Review Packets were handed out after the quiz.
HW Do # 1-12 all by tomorrow...of course, you may try more problems if you like.
EC Question...What topic did you find most interesting in Geometry this semester (if any)? Tell why you chose that topic. Use at least four sentences.

Algebra 2B pd 5
Today was the last quiz before the Final Exam (on Tuesday!). Students who want extra time can come to class at 1:00pm tomorrow to finish the quiz.
HW Do all problems on the HW Review sheet.

Wednesday, June 18, 2008

JUNE 2008

Algebra 2H pd 1
Tomorrow is the quiz on Permutations, Combinations, the Counting Principle, and Probability.
It will be very similar to the review sheet and the problems we went over in class.
HW -Finish the Review Sheet(#10-18) given out at the end of today's class. Study all previous worksheets!!!!
EC problem......If 5 winners are chosen, what is the probability that you will be one of the winnersif 500 people bought tickets?

Geometry H pds 2,4
The Valentine Poems were terrific! I appreciate the care and effort most of you took to create a love poem using geometry terms.
We reviewed for the quiz on Solids tomorrow. The quiz has 25 problems- Most problems involve LA, TA, and Volume.
HW textbook page 478 # 20, page 492 #7,8 and page 485 # 2,4
EC problem....What do you think is the most important thing to understand when doing problems on Solid figures? Why?

Algebra 2B pd 5
Quiz is tomorrow. Finish the review sheet for hw.
Learn the formulas for circular permutations.

Tuesday, June 17, 2008

JUNE 2008

Algebra 2H pd 1--Quiz is on Thursday!
We learned the rules for multiplying probabilities with independent vs dependent events. We also went over the probabilities for rolling certain numbers with two dice.
HW Worksheet # 9-27 odds
EC problem....Suppose you reach into a drawer(without looking) that has 8 black socks and 6 brown socks. What is the probability that you will get 2 black socks?

Geometry H pds 2,4
Remember that your Valentine Poems are due tomorrow! Make sure you fill out the rubric before handing in you masterpiece!
We went over ratios of similar figures with regard to area and volume. We also started to review for the quiz, which is on Thursday. It will include the prism, pyramid, cylinder, cone and sphere, as well as the ratio problems.
HW Worksheet- Do all problems!!!
EC problem....Which has more volume- a cylinder with radius 4 cm and height 8 cm or a cylinder with radius 8 cm and height 4 cm. Figure out the two volumes before you answer.

Algebra 2B
We went over multiplying probabilities with independent and dependent events. We also went over the probabilities of rolling numbers with two dice.
HW Worksheet #1-16 all

Monday, June 16, 2008

JUNE 2008

Algebra 2H pd1
We learned that probability = Success/total And Odds = success/failure.
HW Worksheet # 2-32 evens

EC problem....Find the probability that both cards in a random 2-card hand are jacks.
(First, calculate the number of possible 2-card hands.)

Geometry H pds 2,4
We went over the formulas for the Area and Volume of Spheres.
HW Worksheet # 1-14 all
EC problem....A silo is made up of a cylinder and hemisphere. Find the volume of the silo if the radius of the cylinder part is 6 cm and the height of the cylinder part is 10 cm. The radius of the hemisphere would also be 6 cm.

Algebra 2B pd 5
We went over the lesson on probability and odds today. Some problems use combinations in them.
HW worksheet # 2-30 evens.

Friday, June 13, 2008

June 2008

Algebra 2H pd 1
Today, we went over Combination problems-in which Order is not important when considering the possibilities of an event taking place. Examples are committees, teams, or problems with choosing marbles out of a bag.
HW Worksheet handed out at the end of class--All problems due for Monday....
EC problem...If there are 54 lottery numbers to choose from, and the state chooses 5, how many different combinations are possible? Do you think playing the lottery is a wise investment? Why or why not?

Geometry H pds 2,4-Your Valentine Poems are due on Wednesday!

We learned that the number of faces + number of vertices - 2 = the number of edges in a prism or pyramid.
HW Cylinders and Cones worksheet # 2-14 evens-this will be collected on Monday! Books will NOT be needed on Monday-we will be learning about the sphere.
EC Bring in pictures of real life examples of pyramids, prisms, cylinders, and cones. Include at least one example of each...

Algebra 2B pd 5
We went over Combinations problems-in these problems, the order the items are chosen is NOT important.
HW Worksheet--Do ALL problems! They're EASY!!!!!

Thursday, June 12, 2008

June 2008

Algebra 2H pd 1
We went over the lesson on Circular Permutations (n-1)!. If there is a fixed point, then the formula is n!. If there is a reflective property (charms on a bracelet, keys,etc), then divide by 2.

HW Worksheet #11-33 odds
EC problem...Four students are chosen from a group of 10 to fill the positions of president, vice-president, treasurer, and secretary. In how many ways can this be accomplished? (This problem is NOT from today's lesson.)

Geometry H pds 2,4
We learned the LA, TA, and Volume formulas for the cylinder and cone. Most students found these formulas easy to use.
HW Worksheet on Cylinders and Cones #1,3,4,6,7,9,11,13, and 15.
You may do the other problems for extra credit (3 points!). They must be handed in before class starts....
EC problem....A cone has LA 100 pi and TA 136 pi. Find its radius and slant height.

Algebra 2B pd 5
We went over the lesson on Circular Permutations today. The formula is (n-1)! for circular permutations and n! for circular permutations relative to a fixed point. Also, divide by 2 if the objects can be reflected (keys, charms, etc).
HW Worksheet #11,13,15,17,19,21,25,27,29, and 31.

Wednesday, June 11, 2008

Algebra 2H pd 1
We learned about linear permutations and permutations with repeating letters in words.
Example: P(8,5) = 8!/(8-5)! = 8!/3! = 8x7x6x5x4 = 6720.
HW Worksheet # 1-10 all and #12-26 evens.
EC How many different ways can the letters in the word ENCYCLOPEDIA be arranged?

Geometry H pds 2,4
We went over the triangular and hexagonal pyramids today. We also reviewed the square pyramid.
HW Worksheet on Prisms and Pyramids #7,8,11,12 (Pyramids) and #6 (Prism)

EC problem....Find the lateral edge of a regular hexagonal pyramid with base edge 14 cm and height 24 cm. (Hint: Find the slant height first.)

Algebra 2B pd 5
We learned how to solve permulation problems with repetitions.
HW worksheet #11,15,19,20,21, and 29.

Tuesday, June 10, 2008

JUNE 2008

Algebra 2H pd 1
Wewent over the Counting Principle,which included independent vs dependent events.
HW Worksheet # 8,9,10,12,15,16,17,19, and 20
'EC problem....#21

Geometry H pds 2,4
Today, we learned about the pyramid. It has one base and sides that are congruent isosceles triangles. We also went over the formulas for LA, TA and Volume.
HW Worksheet # 2-6 all -Find the volume for # 5 and 6.

EC problem....Draw a regular square pyramid with slant height 17 cm and base edge 16 cm.
find the Altitude, and LA,TA, and Volume.

Algebra 2B pd 5
After going over the hw problems, we learned about linear permutations-arrangements of objects in a line in which the order is important.
HW Worksheet # 1-10 all, # 23-26 all

Monday, June 9, 2008

JUNE 2008

Algebra 2H pd 1
Today was the quiz on Geometric Sequences and Series.
NO hw tonight!
EC---What is the probability that a family of four children has exactly four boys?
(We will be learning the answer to this question tomorrow.)

Geometry H pds 2,4
We went over the LA,TA, and Volume of regular hexagonal and right triangular prisms.
HW Worksheet on Prisms # 1-10 ALL
EC problem....A regular hexagonal prism has sides of 4 cm (Hexagon) and a height 0f 10 cm (Prism). Find the TA and Volume. Sketch a picture as well.

Algebra 2B pd 5
We went over problems involving the Counting Principle.
HW Worksheet # 8-15 all and #17,19,21, and 23.

Friday, June 6, 2008

Algebra 2H pd 1
As you know, there was no pd 1 class due to the teachers (including me) demonstrating against the state budget cuts in education for next year.
Don't forget that there is a quiz on Monday on Geometric Sequences, Series, and Infinite Geometric Series. All formulas will be on the quiz.
Have a great weekend!

Geometry H pds 2,4
After going over the hw problems on ratio of areas and scale factors of similar figures, we started Chapter 12 on Solids. The first solid we learned about is the prism. You should have notes about the different kinds of prisms.
HW Worksheet # 1,3,4,9, and 10...Sketch the figure and calculate what is asked for.
EC problem....Sketch a hexagonal prism. Label the altitude and sides. If each side = 8cm and the height is 12 cm, calculate the LA and TA.

Algebra 2B pd 5
Quiz on geometric sequences and series was given today. All quizzes must be made up during lunch on Monday or after school on Wednesday.

Thursday, June 5, 2008

Algebra 2H pd 1
We reviewed for the quiz on Geoemetric Sequences and Series.
HW Review Sheet # 10-20 all + Go over all problems from our lessons on this subject!
EC problem.....Change 0.374444...to a common fraction in lowest terms.

Geometry H pds 2,4
We went over the ratios of perimeters, areas and volumes of similar figures. We used the Baby, Mama and Papa rectangles to discover the formulas.
HW Textbook (finally!) pages 458-459 # 2-12 evens, 13,15,16. Also, bring your books to class tomorrow!

EC problem....Two similar rectangular boxes have volumes of 27 cubic cm and 64 cubic cm. Find the ratio of their areas.
If the total area of the smaller box is 20 square cm, find the total area of the larger box. (Your answer does not come out even.)

Algebra 2B pd 5
Tomorrow is the quiz on geometric sequences and series, as well as infinite series.
A review sheet was given out for this quiz today. We will review for about 15 minutes and then take the quiz.

Wednesday, June 4, 2008

Algebra 2H pd 1
We went over problems involving infinite sums, including the changing of repeating decimals to fractions and distance travelled by a dropped ball.
HW Worksheet #2,6,14,18,22,26,36,40,42, and 44.
EC problem....Find a fraction equivalent to .277777...

Geometry H pds 2,4
Today was the quiz on circumference, area, length of arcs, and areas of sectors and shaded areas.
EC puzzle was given out after the quiz.
No other ec tonight!

Algebra 2B pd 5
We went over hw problems and then started the lesson of infinite series.
HW Worksheet # 1-6 all, #15,18,21,24, and 27.
EC problem.....#29.

Tuesday, June 3, 2008

Algebra 2H pd 1
We learned the formula for an infinite geometric series. It should be in your notes. We also learned how to change a repeating decimal to a fraction.
HW Worksheet # 1-14 all
EC problem......A swinging pendulum moves through 50 cm on its first swing. Each succeeding swing is 9/10 of the preceding one. How far will the pendulum travel before before coming to rest?

Geometry H pds 2,4
Tomorrow, we are having a quiz on the circumference and area of a circle, length of an arc, and the area of a sector and shaded areas related to sectors.
HW Worksheet-review problems # 1-11 ALL
EC problem....A circle with a diameter of 42 cm is inscribed in a square. Find the area of the region between the circle and the square.

Algebra 2B pd 5
We learned the formula for the sum of the terms in a geometric sequence. This is called a series.
HW Worksheet # 1-15 all
EC # 16

Monday, June 2, 2008

Month of June

Algebra 2H pd 1
Today, we learned the formula for the sum of a geometric sequence (series).
Many of the problems we went over unfortunately involved complex fractions.
HW Worksheet # 2-16 ALL

EC problem....#32

Geometry H pds 2,4
Block lettering projects were collected . We went over the hw on length of arcs and areas of sectors. Next, we learned how to find the areas of the segments of a circle. These problems involve 30-60-90 right triangles.
HW Worksheet from last Friday # 8-16 all
EC problem---If you order a 20 inch pizza and eat 3 pieces out of the 8 slices, what is the area of the slices you have just eaten?

Algebra 2B pd 5
Students finished Friday's quiz during the first 20 minutes of class. Next, we went over the formula for finding the terms of a geometric sequence. We went over problems related to geometric sequences.
HW Worksheet # 2-32 evens
EC problem # 33

Friday, May 30, 2008

Algebra 2H pd 1
Today, we learned about geometric sequences. These are sequences of numbers that increase by a common ratio (r).
HW Worksheet # 1-33 odds.

EC problem- A culture of yeast doubles in size every 4 hours. If the yeast population is estimated to be 3 million now, what will it be one day from now? Use the formula from today's lesson to get your answer.

Geometry H pds 2,4
***Block Lettering Projects are due on Monday!!!!!***
Bring your books to class on Monday as well.....
We learned about the length of an arc and the area of a sector today.
their formula involve the circumference and area of a circle.
HW Worksheet # 1-9 all
EC problem....If a pizza pie is cut into 8 equal slices and you eat three of them, what is the area of the slices you have eaten?

Algebra 2B pd 5
Today was the quiz on arithmetic sequences and series. Because of the shortened period, only the front side will be graded. Students will complete the back side during the first 10 minutes of Monday's class.

Thursday, May 29, 2008

Algebra 2H pd 1
Today was the quiz on arithmetic sequences and series.
No HW tonight....
EC problem....Find the sum of the first 40 terms of the series 2+5+8+....

Geometry H pds 2,4
Today was the lesson on the circumference and area of a circle. Most students felt that it was easy.
HW Puzzle worksheet on Circumference and Area. Do BOTH sides of the worksheet. This will be collected tomorrow.
EC problem....A circle is inscribed in a square whose sides are 24 cm. Find the area of the region between the circle and the square.

Algebra 2B pd 5
Tomorrow is the quiz on arithmetic sequences and series. Study all of the worksheets and practice the problems. If you don't practice, you may not do well!
Quick Draw will be collected tomorrow.

Wednesday, May 28, 2008

Algebra 2H pd 1
We will be having a quiz on arithmetic sequences and series, including the sigma notation, tomorrow.
HW Review worksheet - Do BOTH sides of the worksheet...It will be checked for completeness.
We will review any problems from the past few days and then take the quiz.

EC problem....A display in a grocery store has 1 can on the top row, 2 cans on the 2nd row, 3 cans on the 3rd row, and so on. How many cans are needed to make 25 rows?

Geometry H pds 2,4
Today was the quiz on the area of regular polygons.
HW puzzles were given out afterwards. These will be collected tomorrow and graded.
EC problem....Find the area of a regular dodecagon (12-gon) if its perimeter is 60 cm.

Algebra 2B pd 5
We learned about sigma notation today.
HW Worksheet-Do BOTH sides of the worksheet..
We will review for the quiz on Friday by using Quick Draw for Points.

Tuesday, May 27, 2008

Algebra 2H pd 1
We learned the formula for arithmetic series today. this is when you add the numbers in an arithmetic sequence.
HW Worksheet #11,15,19,23,25,27,29,31,33,35, and 37.
EC problem #40

Geometry H pds 2,4
Tomorrow, you will have a quiz on the Areas of Regular Polygons. These include the square, equilateral triangle, regular hexagon, pentagon, and octagon. Make sure you understand the 30-60-90 and 45-45- 90 right triangle formulas.
HW Puzzle Worksheet-Find the hidden square. If you can do these problems, you should ace the quiz!
EC problem.....Why does the radius always equal the side in a regular hexagon? Why do we use A=s^2 instead of A=1/2ap for the area of a square?

Algebra 2B pd 5
We are working on problems related to the sums of numbers in an arithmetic sequence (series).
HW Worksheet #12,16,20,24,28,32, and 35.
EC # 40

Friday, May 23, 2008

Algebra 2H pd 1
Same assignment as yesterday due to the testing of 10th graders today.
Have a great weekend!

Geometry H pds 2,4
We went over all problems related to the apothem, radius, sides, perimeter, and area of a regular polygon. We also explored the regular pentagon and octagon in class.
HW Finish all problems on the first cw worksheet (#10-17) handed out in class the other day. I will collect this hw on Tuesday.
EC problem....A regular decagon has a side of 12 cm. Find its area. Show all work!
Have a great weekend!

Algebra 2B pd 5
After going over the hw, we learned how to find the sum of numbers in an arithmetic sequence.
HW Worksheet # 1-10 all
EC Do #11-15 all.
Have a great weekend!

Thursday, May 22, 2008

Algebra 2H pd 1
We got back to our regular curriculum since the CST test for math was yesterday.
Today, we learned about arithmetic sequences and arithmetic means.
HW Worksheet # 22-30 evens, #35,37,41,42,45,47,49, and 53.
This assignment is not due until Tuesday due to the 10th grade CST Life Skills test tomorrow during pd 1. Students are to report to the LARGE gym for this test.
Have a great weekend!!!
EC problems.....#50 and54.

Geometry H pds 2,4
Today, we went back to our regular curriculum in pd 4 since the math CST test was yesterday.
We went over the area of regular polygons, such as the hexagon. A = 1/2 ap
HW Worksheet ---Do all problems....
EC problem.....Find the measurement of the central angle of a regular octagon. If the
apothem= 8 cm, find the radius, perimeter and area. (HINT: Use SOHCAHTOA to solve this problem.) This problem will be worth a LOT if you solve it!

Algebra 2B pd 5
We learned about arithmetic sequences and arithmetic means.
HW Worksheet #22-28 evens, 34,37,41,46,47,48,49, and 53.
EC # 54.

Monday, May 19, 2008

Week Ten

A quick note to my classes:

Good luck on the CST this week (especially on Wednesday!).
I will resume web log postings on Thursday....
Mrs. Kamen

Thursday, May 15, 2008

Week Ten

Algebra 2H pd 1
I hope you will look over the CST problems we reviewed this past week.
Today, we had the quiz on hyperbolas, binomial theorem, and systems of equations.
HW - Do the problems on the CST Mini Quiz.

EC problem....Find the sum of the infinite series 25+20+16+...
Use the formula I gave out in class on Thursday.....S = a1/(1-r)

Geometry H pds 2,4
Today was the quiz on Areas of polygons....
HW Do the remainder of the CST problems on the MINI QUIZ...I hope you will review the problems I went over in class this past week.
EC problem....A cone has a slant height of 13 cm. If the radius of the cone is 5 cm, find the volume of the cone. Use the formula V= 1/3 PI r^2 h. If you can't understand this, look the formula up on the internet.

Algebra 2B pd 5
We finally had the quiz on the hyperbola.
On Monday, we will finish our CST review.

Week Ten

Algebra 2H pd 1
We reviewed for the quiz tomorrow-on hyperbolas, binomial theorem, and solving systems of quadratic equations. We also went over questions for the CST exam, which is next week.
HW- Make sure you are prepared for tomorrow's quiz. Practice, practice, practice!!!
EC question...A personal identification number (PIN) consists of 4 digits from 0-9. How many different PIN numbers are possible if no digit can be repeated? How many are possible if a digit CAN be repeated?

Geometry H pds 2,4
Tomorrow is the quiz on Areas of polygons from the rectangle and square to the rhombus and trapezoid.
Today, we also went over CST problems involving trigonometry.
HW Make sure you are ready for tomorrow's quiz. Memorize ALL formulas!!!!

Algebra 2B pd 5
Tomorrow is the quiz on hyperbolas. Study all problems that were done in class...
CST review was also done today.

Wednesday, May 14, 2008

Week Ten

Algebra 2H pd 1
Today, we went over sample questions for the CST involving negative exponents and logarithms.
There will be a quiz on Friday- on hyperbolas, binomial theorem, and solving systems of quadratic equations.
HW Worksheet on the hyperbola # 1-6 all (We set up #5 during class today.)

EC problem....Solve the system (x-2)^2 +y^2 = 5 (There are 2 solutions)
x-y = 1

Geometry H pds 2,4
We continued going over CST sample problems. Today, we covered the Pythagorean theorem, volume, and area problems.
We will have a quiz this Friday on the areas of rectangles, squares, parallelograms, triangles, rhombuses, and trapezoids. All formulas must be MEMORIZED!!!!
HW Worksheet -Do all problems, except for # 7,14, and 15.
EC problem....A right triangle has hypotenuse 18 cm and one acute angle of 52ยบ. Find its area. (Hint: You will need trigonometry to do this problem.)

Algebra 2B pd 5
We reviewed CST problems involving negative exponents and logarithms.
No hw tonight.
We will have a quiz on Friday- on the hyperbola.

Tuesday, May 13, 2008

Week Ten

Algebra 2H pd 1
We went over sample problems from previous CSTs. Today, we reviewed complex numbers, quadratic formula and some conics (parabola, hyperbola).
HW Worksheet on systems of Equations # 1-4a all.
EC problem - Do # 8 on the worksheet (You may use graphing or algebra techniques).

Geometry H pds 2,4
We went over the hw on Area of Trapezoids and also reviewed CST problems on logic and proofs.
HW Trapezoid worksheet # 1-4 all and #12-16 all
EC Do any 2 problems from # 8-11 on the worksheet.

Algebra 2A pd 5
We continued reviewing problems from previous CSTs. Today, we reviewed imaginary numbers, conics, and the quadratic formula.
HW Hyperbola worksheet #5,7,9,13, and 16.
EC problem # 15.

Week Ten

Algebra 2H pd 1
We went over sample problems from previous CSTs. Today, we reviewed complex numbers, quadratic formula and some conics (parabola, hyperbola).
HW Worksheet on systems of Equations # 1-4a all.
EC problem - Do # 8 on the worksheet (You may use graphing or algebra techniques).

Geometry H pds 2,4
We went over the hw on Area of Trapezoids and also reviewed CST problems on logic and proofs.
HW Trapezoid worksheet # 1-4 all and #12-16 all
EC Do any 2 problems from # 8-11 on the worksheet.

Algebra 2A pd 5
We continued reviewing problems from previous CSTs. Today, we reviewed imaginary numbers, conics, and the quadratic formula.
HW Hyperbola worksheet #5,7,9,13, and 16.
EC problem # 15.

Monday, May 12, 2008

Week Ten

Algebra 2H pd 1
We went over some more examples of the Binomial Theorem. We also started reviewing sample problems for the CST next week. All students must strive to achieve basic or higher for Algebra 2 next week. Getting far below basic will disqualify you from getting work permits.
HW Binomial Theorem worksheet problems # 15,23, and 25.
CST Review # 6-11 all
EC problem Expand (4x-5Y)^6

Geometry H pds 2,4
We went over the formula for the area of the trapezoid.
We also went oversample problems for the CST, which will be next week.
HW Worksheet on Area of a Trapezoid # 1-14 all + CST review # 4-9 all.

EC problem....An isosceles trapezoid has one base =30, the other base = 18, and each leg = 10.
Find its area.

Algebra 2B pd 5
We went over some hyperbola problems, and then did sample problems for the CST, which will be given next week. It is important to score better than far below basic on this test. Work permits may not be issued to students who score at this low level.
No hw tonight....

Friday, May 9, 2008

Week Nine

Algebra 2H pd 1
After going over the hw problems on systems of equations, we learned about Pascal's Triangle, and used this pattern to figure out expressions in the form (a+b)^n. This is the binomial theorem.
HW Worksheet #1-10 all #16,17
EC problem Figure out (x+y)^9

Geometry H pds 2,4
We went over problems on areas of parallelograms, triangles, and rhombuses.
HW Worksheet # 1-16 all
EC problem.....A rhombus has a perimeter of 164 cm. One diagonal is 18 cm. Find the area of this rhombus.

Algebra 2B pd 5
We went over how to complete the square for solving hyperbola problems.
HW Worksheet # 4-6 all

Thursday, May 8, 2008

Week Nine

Algebra 2H pd1
After finishing some hyperbola problems, we went over how to solve systems of equations with the conic sections.
HW Worksheet # 1-15 all _This should have been started during class!
EC problem Explain when to use substitution and when to use elimination when solving the systems of equations in tonight's hw.

Geometry H pds 2,4
We started Chapter 11-it's on Areas of Plane Figures. Today, we covered the square and rectangle.
HW Worksheet # 9-23 all
EC # 8 on the front side.

Algebra 2B pd 5
Today, we went over how to graph the hyperbola and find the center, vertices, co-vertices, asymptotes, and foci.
HW Wroksheet # 15,21,23, and 26
EC problem #28

Wednesday, May 7, 2008

Week NIne

Algebra 2H pd1
We learned how to complete the square when writing the standard form for the hyperbola.
We went over all the necessaryparts of the hyperbola (asymptotes, foci, vertices, co-vertices,. and center).
HW Worksheet # 31, 34, 36, and 37.
EC problem......Do # 12 on the front side of the worksheet.

Geometry H pds 2,4
Today was the quiz on the segments of a circle.
HW Puzzle was given out after the quiz. It will be collected tomorrow.
We will be starting Chapter 11 tomorrow. Bring your books to class!!!!
EC problem....Explain how you prepared for today's quiz. Did your preparation work? why or why not?

Algebra 2B pd 5
Today was the quiz on the Circle and Ellipse.
Ec puzzle was given out after the quiz.
Another EC problem....We will be studying the hyperbola tomorrow. Bring examples of this conic section to class tomorrow. (Use the Internet).

Tuesday, May 6, 2008

Week Nine

Algebra 2H pd 1
We learned all about the hyperbola in class today. Vocabulary words to keep in mind are Horizontal or Vertical Transverse Axis, asymptotes, vertices, and foci.
HW Worksheet # 20,21, 24,25,27,29, and 32. (I'm not sure this is the actual assignment, but I'll give you credit if you do these problems!)
Ec problem.... an old review problem.... Solve for x and y 5x-2y=3
2x+7y=9.


Geometry H pds 2,4
Tomorrow, we will have a short quiz on the segments of a circle. Make sure you know and UNDERSTAND the new theorems about this topic.
HW Worksheet - Do ALL problems.....
EC problem....Draw a circle using your compass. Draw a tangent PA with A as the point of tangency. Then, draw secant PB from point P of the tangent. Find PA if the external segment of your secant is 16 and the internal segment of your secant is 8.

Algebra 2B pd 5
Tomorrow is the quiz on the circle and ellipse.
Make sure you understand what we went over in class today!
EC Find the vertices and co-vertices of the ellipse (x-2)^2/16 + (y+4)^2/9 = 1.

Monday, May 5, 2008

Week Nine

Algebra 2H pd 1
Today was the quiz on Ellipses and Circles. We started learning about hyperbolas after the quiz.
No hw tonight...
EC Find real life examples of both ellipses and hyperbolas on the internet. Company logos are good examples.

Geometry H pds 2,4
Today, we started learning the section of Chapter 9 on the segments of a circle (Section 9.7) Three new theorems were taught.
HW Worksheet # 1-12 all -You should read over the material and sample problems to help you do these problems.
EC problem....Chords AB and CD intersect inside Circle O at point P. If AB = 12, CP = 9, and
DP = 4, find BP. This problem involves factoring.

Algebra 2B pd 5
We thoroughly went over the problems on the ellipse, one of the conic sections.
HW Worksheet # 1-7 all
EC Find real life examples of ellipses and circles on the Internet. Company logos are great examples.

Friday, May 2, 2008

Week Eight

Algebra 2H pd 1
We are having a quiz on the circle and ellipse on Monday. A review sheet was given out during class today. It is to be completed before you take the quiz.
HW Do the review worksheet-all questions assigned.
EC problem.....An ellipse has its center at (-3,2). The endpoints of its major axis are at (-3,8) and (-3,-4). The endpoints of its minor axis are at (-6,2) and (0,2).
Find the equation of this ellipse and find its foci.

Geometry H pd 2
Today was the quiz on the Angles of a Circle. You will get the results on Monday.
HW Worksheet on Inscribed Angles puzzle. This will be collected on Monday.
EC Explain why you had trouble or did not have trouble mastering the concept of the angles and arcs of a circle. Use at least four sentences.

Algebra 2B pd 5
We continued going over the equation of the ellipse. We went over problems in which the center was NOT at (0,0). We also went over how to complete the square for ellipse equations.
HW Worksheet # 42,44,45, and 47.
EC problem # 48

Thursday, May 1, 2008

Week Eight

Algebra 2H pd 1
After going over hw questions, I handed out another worksheet on Ellipses.
Do # 1-10 all---# 6-10 should be easy. We will go over how to name vertices and co-vertices tomorrow. Quiz on Circles and Ellipses will be on Monday.
EC An ellipse has foci coordinates at (6,2) and (-6,2). The coordinates of the vertices are (10,2) and (-10,2). Write the equation of this ellipse in standard form. (Find the center first.)

Geometry H pds 2,4
Quiz tomorrow is on the Angles of a Circle.
Study the Quick Draw and all worksheets we did for classwork and homework. It is your responsibility to BE PREPARED!!!!
EC problem....Draw a circle. Draw two tangent segments AB and CB that meet at B. If Angle ABC = 83ยบ, find the measures of the two intercepted arcs. Label them on your circle. Use 3 letters for the major arc.

Algebra 2B pd 5
No class today...tomorrow, we will continue with ellipses.

Wednesday, April 30, 2008

Week Eight

Algebra 2H pd 1
We learned how to complete the square when finding the standard form for the ellipse equation.
We also went over problems when the center is NOT at (0,0). Remember that a^2 = b^2 + c^2.
HW Worksheet #29,33,38,40,48,49, and 44.
EC #50 ( You might want to graph the given information to figure this one out.)

Geometry H pds 2,4
We went over how to figure out the measurement of all angles related to the circle, as well as their arc measurements.
Quiz will be on Friday.
HW page 359 Written Exercise # 1-12 all
and page 367 # 1-5 all
EC problem Draw a circle with your compass. Inscribe an isosceles triangle ABC with the vertex angle A = 68ยบ. Find the measurement of the three arcs formed by your triangle.

Algebra 2B pd 5
We started the ellipse today. We went over the standard form equation for both horizontal and vertical major axes.
HW Worksheet # 29-35 all and #38--This is due on Friday because of the minimum day schedule tomorrow. There will NOT be a quiz on Friday.

Tuesday, April 29, 2008

Week Eight

Algebra 2H pd 1
After going over hw questions about the circle equation, we started learning about the ellipse.
It is formed by a constant sum of distances from two fixed points called the foci.
Today, we went over the ellipse that has a major horizontal axis.
The equation for an ellipse with center at (0,0) is: x^2/a^2 + y^2/b^2 =1
HW Worksheet # 1,2,10,11,12
EC problem.....#7 (the center is NOT at (0,0) in this problem)

Geometry H pds 2,4
Mandala Projects are due tomorrow!!!!!!

We learned how to find the measures of angles formed by two chords, two secants, two tangents, or a secant and tangent.
HW Worksheet # 1-19 all
EC problem Find the measure of an angle formed by two tangents if one of the intercepted arcs is 124ยบ.

Algebra 2B pd 5
We reviewed the material on circles. The key is to write each equation in standard form.
(x-h)^2 + (Y-k)^2 = r^2
HW Worksheet # 1-10 all

Monday, April 28, 2008

Week Eight

Algebra 2H pd 1
Today, we started the unit on the conic sections. These figures are the circle, parabola, ellipse, and hyperbola.
Today, we went over the equation for the circle...it Is (x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius.
HW Worksheet # 8,12,16,20,24,28,32,36,38,42, and 46.
EC problem...# 54 (Tangent means that it touches the y-axis at one point.)

Geometry H pds 2,4
We went over Lesson 9.5 on Inscribed Angles. We learned that the measure of an inscribed angle = 1/2 of its intercepted arc. There were also 3 corollaries with this lesson.
HW Worksheet---Do all problems....
EC Draw a circle with your compass. Inscribe a quadrilateral. Measure each angle with a protractor to see if the opposite angles are supplementary.

Algebra 2B pd 5
We went over the equation of a circle today. It is: (x-h)^2 + (y-k)^2 = r^2.
HW Worksheet # 8,12,16,20,24,28,32,36,40, and 44
EC problem # 37

Friday, April 25, 2008

Week Seven

Algebra 2H pd 1
Today was the quiz on radical equations and expressions.
HW Bring your books to class on Monday!!!!
EC Why is it important to check your solutions in a radical equation? Answer in at least 3 sentences.

Geometry H pds 2,4 pd 4 will meet in Room 306 on Monday....
Today was the quiz on Circles-Lessons 9-1-9-4.
EC Puzzle on Pythagorean Theroem was given out after the quiz.
HW-Bring your books to class on Monday!!!! Work on your Mandalas!
Another EC problem.....With a compass, draw a circle and inscribe a regular hexagon.

Algebra 2B pd 5 We will meet in Room 316 starting on Monday.
Today was the quiz on Radical expressions and equations.
EC puzzle was given out after the quiz- it's due on Monday before class starts...

Thursday, April 24, 2008

Week Seven

Algebra 2H pd 1
Study for the quiz on Radical Expressions and Equations. Go over all of the problems reviewed in class today.
EC problem....Simplify Cube Root of ( 375 x^16y^5z^9)

Geometry H pds 2,4
Quiz on Sections 9.1-9.4 is tomorrow.
HW Self Text 1 page 349 # 1-6 all
EC problem...A chord of a circle is 48 cm long. It is 7 cm from the center of the circle. What is the radius of the circle? Draw a sketch and answer.

Algebra 2B pd 5
Today, we reviewed ALL questions for the quiz on Radical Expressions and Equations,
The quiz is tomorrow. Study by going over ALL problems from today's lesson.

Wednesday, April 23, 2008

Week Seven

By now, all of you should have received your midterm grades!!

Algebra 2H pd 1
We continued with solving radical equations. Quiz will be on Friday. No books needed tomorrow or Friday.
HW Worksheet Puzzle- Do ALL problems....
EC Solve and check: x+3 = Sq Root of (4x+17)

Geometry H pds 2,4
We went over Lesson 9.4 on Arcs and Chords. A worksheet was done in class.
HW Worksheet handed out at the end of class-Do all problems on it....
Bring your books to class tomorrow!!!!
EC problem.....Draw Circle O. Inscribe an isosceles triangle labelled A,B,C, with AB = AC.
If arc BC = 124ยบ, find the measure of angle A, angle B, angle C, and arc AB.

Algebra 2B pd 5
We went over hw problems, and then started the lesson on radical equations.
HW Worksheet puzzle- Do ALL problems....

Tuesday, April 22, 2008

Week Seven

Algebra 2H pd 1

We went over the steps for solving radical equations. The first few examples were easy, but then the problems did become much more difficult! All answers must be checked in radical equations.
HW Worksheet # 2-14 evens, and #15
EC problem # 16

Geometry H pds 2,4

Remember the school policy that NO cell phones or electronic devices are allowed for use during class!
Today, we went over lesson 9.3(pages 339-342) on Central Angles and Arcs. We learned the terms minor arc, major arc, semicircle, and central angle.
HW Worksheet # 1-25 ALL
EC problem....What is the measure of the angle formed by the hands of a clock at 5:00? Explain how you figured out your answer.

Algebra 2B pd 5
We went over addition, subtraction, multiplication of binomials and division of radicals.
HW Worksheet # 11-20 all (TOP of PAGE) and # 20,21 at the BOTTOM of the page.
EC problem----# 14,16 at the bottom of the paper...

Monday, April 21, 2008

Week Seven

Midterm Grades will be given out in all of my classes tomorrow!

Algebra 2H pd 1
We went over adding and subtracting radical expressions, as well as using FOIL for multiplying binomial radicals. We also went over how to clear the denominator of a radical.
HW Worksheet # 1-20 all

EC problem.....Make up your own cube root problem to simplify and simplify your example. why don't you have to worry about absolute value in a cube root problem?

Geometry H pds 2,4
We learned about the tangents of a circle. External, internal tangents and external, internallly tangent circles were explained. We also received out next project on mandalas-due April 30th.
HW Worksheet #1-20 all

EC problem.....Using a compass, draw 3 concentric circles. What logo does your picture look like?

Algebra 2B pd 5
We learned how to simplify radical expressions.
HW Worksheet # 1-10 all # 1-6 all
EC problem -# 8 on the bottom

Friday, April 18, 2008

Week Seven

Algebra 2H pd 1
Today, we started the unit on radical expressions. We went over simplifying expressions, plus multiplying and dividing radical expressions.
HW Textbook page 532 # 4,5 and page 533 # 6,7,15,17,21,23,25, and 33.
EC Problem.....#34

Geometry H pds 2,4
We started Chapter Nine today. It's on Circles.
Today, we went over the basic vocabulary associated with circles.
HW Worksheet # 1-20 ALL--The last 4 questions use knowledge from Chapter 8 for solving.
EC Find real -life examples of company logos that use circles, concentric circles, or spheres. Surf the Internet!

Algebra 2B pd 5
Today was the quiz on Rational equations and addition or subtractions of rational expressions.
EC Explain why this unit was easy or difficult for you to learn. Write at least 3 sentences.

Thursday, April 17, 2008

Week Seven

Algebra 2H pd 1
Today was the quiz on Rational Expressions and Equations.
EC puzzle on rational equations was given out after the quiz.
Another EC....Explain why this unit was difficult (or easy) for you to understand. Answer in at least three sentences.

Geometry H pds 2,4
Today was the Quiz on Trigonometry.
Puzzles using trigonometry were given out after the quiz as extra credit. Due tomorrow.
Another ec...Explain why trigonometry was easy (or difficult) for you to understand. Answer in at least three sentences.

Algebra 2B pd 5
Tomorrow is the weekly quiz-it will cover adding or substracting rational expressions, and solving rational equations.

Wednesday, April 16, 2008

Week Seven

Algebra 2H pd 1
Tomorrow is the quiz on rational expressions and equations.
There will be 4 addition/subtraction problems, 4 division problems, 4 equations, and 2 multiplication problems. One of the equation problems will require the quadratic formula to solve.
HW Do the four problems I wrote on the overhead at the end of today's class.
Have your binders ready for checking!!! Organization is important!
EC problem....Solve for x 5x/6 - (3-x)/8 = (4x+3)/12

Geometry H pds 2,4
Tomorrow is the quiz on Trigonometry. Study all of the worksheets and Quick Draw from today's class. Bring your calculator for this important quiz.
Also, I will be checking your binders for your chapter 8 work.

EC Explain why you shouldn't round your answers until the very end in a multi-step trigonometry problem.

Algebra 2B pd 5
We learned how to solve rational equations-one worksheet was completed in class.
HW Do the other worksheet-all problems.