To All of my Classes:

Have a wonderful school break and holiday season. I will see you back at Hollywood High on January 10th!
We have a LOT more work to cover!!!

Mrs. Kamen

Algebra 2H pds 1,4
Today was the quiz on Complex Numbers.
After the quiz, a puzzle on complex numbers was given for hw.
Work and coloring are required this time.
EC- Why does the multiplication of 2 conjugates always result in a real number? Explain by giving an example and use words too.

Geometry H pds 2,5
Today was the quiz on the Multi-Angle Problem. Students should have prepared for this quiz by studying the example from the previous class. Too many students did poorly on this little quiz.
HW- Construct the circumscribed and inscribed circles on the worksheet given out in class.
EC On a separate paper, draw your own right triangle and construct a circumscribed circles by constructing two perpendicular bisectors.

Trig pd 6-Today was the quiz on Inverse Trig Functions.
We also continued going over identities.
HW worksheet # 19,23,27,33,41,43
#C problem #52

Algebra 2H pds 1,4
tomorrow will be a quiz on Complex Numbers. Topics include addition, subtraction, multiplication, division, quadratic formula, powers of i, and multiplying the square root of 2 negative numbers.
HW-Finish the qworksheet on graphing complex numbers.
Also, do pages 463-464 # 43-54 all and page 485 # 1c,e.
EC Simplify (9-5i)/(5-9i)


Geometry H pds 2,5- Please bring your compasses to class tomorrow!!!!

Tomorrow will be a quiz on the multi-angle problem discussed during today's class.
We learned about altitudes and perpendicular bisectors of a triangle. Don't forget about the medians of a triangle as well!
HW Finish the worksheet by drawing the perpendicular bisectors of the remaining triangles on the worksheet.
EC problem-Draw a large triangle ABC and draw any two perpendicular bisectors. At their point of intersection( point O), and using OA as a radius and your compass, draw a circle. If done correctly your circle should go through all 3 points of your triangle.

Trig- pd 6
After the hw problems, we revisited identity proofs. This time they are a bit more complicated.
HW Worksheet #27-37 odds (top part) and # 1,5,9,13,17 (bottom part)
There may be a quiz tomorrow!
EC problem # 26

Algebra 2H pds 1,4
We learned how to multiply and divide complex numbers. We learned that when you multiply two conjugates for complex numbers, the answer is a real number.
(a + bi)(a - bi) = a^2 + b^2.
HW pages 458-459 #41,45,49,53,57,61,65,67,71, and 75.
EC problems #78 and 90.
What was printed on my tee shirt today?

Geometry H pds 2,5
We learned some interesting facts about the medians of a triangle. The centroid of a triangle is where the 3 medians intersect. It is known as the center of gravity.
HW On the back of today's worksheet, draw the median from point A in each triangle (# 1,2,3)
EC Using a ruler, draw a triangle, find the midpoint of each side, and draw the three medians. Label the centroid. Cut out your triangle and see if your dentroid is the center of gravity. Bring to class tomorrow. It works better if you use cardboard or heavy paper.

Trig pd 6
We continued the lesson on the inverse functions for sine, cosine, and tangent. You need to memorize the restrictions on the range of each inverse function.
HW same worksheet as yesterday # 23,28,33,38,40,46,50,53,55,59,63,65,67,71.
EC problems #74,76.

Week of December 13th

Algebra 2H pds 1,4
We learned that i = the square root of -1. We also learned about the powers of i, how to solve equations with complex numbers (a + bi = c + di), and how to add or subtract complex numbers.
HW pages 458-459 #1,5,9,13,17,21,25,29,33, and 37.
EC problem #40.

Geometry H pds 2,5
Today was the quiz on Isosceles Triangles, Congruent Triangles, and Multi-Angle Pictures.
HW Puzzle -front side is hw and back side is extra credit!

Trig pd 6
We went over the inverses of sine, cosine and tangent functions. Each has a specific domain in order for the inverse to be a function.
HW worksheet# 9,15,17,19,21,25,27,29,31,35,37,39-51 odds
EC #52,58.

Algebra 2H pds 1,4
Today was the quiz on completing the square and the quadratic formula.
EC puzzle was given out afterwards. Hand this in before class starts on Monday.
EC question-Why do you need to know the three ways of solving a quadratic equation (factoring, completing the square and quadratic formula)? Which way do you prefer and why?

Geometry H pds 2,5
Monday will be the next quiz-It will cover isosceles triangles and a little bit on congruent triangles, using HL, ASA,AAS, SSS, or SAS.
HW Worksheet -Do ALL problems.
EC- Find real life examples of isosceles triangles and PRINT THEM OUT!!!

Trig- pd 6
WE started the unit on find the inverse of a function and graphing both the original equation and its inverse.
HW Worksheet- Do ALL problems,
EC Find the inverse and graph both equations on one graph of y = x^2 -5

Algebra 2H pds 1,4
Tomorrow is a quiz on Solving Quadratic Equations by completing the square or using the quadratic formula. Bring your Quick Draws to class.
HW page 485 #2 (5 parts)
EC problem...Solve #2a from the hw by completing the square. Did you get the same answers?

Geometry H pds 2,5
We reviewed the results from the District Quarterly test. Many students received advanced or proficient. Congratulations to you!
We also did another multi-angle problem worksheet. Those students on the field trip will have to make it up over the weekend.
The next quiz on Isosceles Triangles will be on Monday.
HW Finish the multi-angle problem worksheet.
EC-What helped you the most in solving the multi-angle problems? What types of shapes were important to notice?

Trig pd 6
We attended the production of "Orpheus and Eurydice" today. Hope you enjoyed it.
EC -Write your opinion about the production today. Minimum length = 5 sentences.

Algebra 2H pds 1,4
We derived the Quadratic Formula-the most important formula to know for solving quadratic equations.
HW Puzzle worksheet-Use the quadratic formula to solve all of the problems.
EC-Starting with ax^2 + bx + c = 0, derive the quadratic formula. Try not to use your notes too much!

Geometry H pds 2,5
We went over many problems related to Isosceles Triangles, including proofs.
HW worksheet # 1-10 all
EC - On the internet find real life examples of isosceles triangles.

Trig pd 6
Today was the quiz on Finding the equation of trig graphs and the Ferris Wheel problem.
EC-How did you do on the test (in your opinion)? Why? Answer in at least 4 sentences.

Algebra 2H pds 1,4
We compared and contrasted the factoring method with the Complete the Square Method for solving quadratic equations. If equations factor, that is usually the easier method to use.
HW Worksheet Puzzle-All problems must be done by Completing the Square.
EC problem-solve by completing the square: 2x^2 - 5x - 4 = 0

Geometry H pds 2,5
Due to the field trip, students worked on a special worksheet where you have to find the measures of the many angles in the diagram.
HW Finish the worksheet.
EC question- The vertex angle of an isosceles triangle = 2x + 10 and the base angles are each x. Find the measure of each angle.

Trig pd 6
After going over the hw problems, we had another problem to solve involving the Ferris Wheel. The quiz tomorrow will cover finding the equation of a trig graph and a Ferris wheel problem similar to the one started in class today. This will be collected tomorrow.
EC problem- Write the inverse of y = 3x-4 and graph both equations.

Week of December 6th

Algebra 2H pds 1,4
We learned the procedure for solving Quadratic Equations called Completing the Square. This process is 3-5 steps depending on how complicated the problem is.
HW Page 475 #9,17,21,25,29,35,37,39,41, and 42.
EC problem #50.

Geometry H pds 2,5
We learned the Isosceles Triangle Theorems with many examples to show how these theorems are used for solving geometry problems.
The theorems we learned are: If the triangle has 2 sides congruent, then its two base angles are also congruent.
If the triangle has the two base angles congruent, then its two sides opposite those angles are also congruent.
HW Worksheet- Do BOTH sides. Use your textbook to fill in the missing words on the front side.
EC question- Write the two theorems listed above as a BICONDITIONAL.

Trig pd 6
We went over the Ferris Wheel problem again-this time, we wrote a trig equation which expressed the height in relation to the time. Eight values must be filled in the chart.
HW Worksheet #15-23 odds, #26,27
EC problem-Make a model of the Ferris wheel called the Colossus. Its diameter =165 feet, and the top of the wheel is 174 feet above the ground. It makes one revolution every 10 minutes. Find its equation using the cosine graph.
If done correctly, this problem will count as 4 EC points.

Algebra 2H pds 1,4
The quiz went very well! Most students received grades of A or B!!!
An extra credit puzzle was given out afterwards. To receive even more points, finish this paper by the start of class on Monday!
And...The short leg of a right triangle is 5 cm and the longer leg and hypotenuse are consecutive integers. Find the length of the longer leg and hypotenuse. Use the Pythagorean Theorem.

Geometry H pds 2,5
Today was the quiz on Congruent Triangles and CPCTC. Students need to understand how to write the 2 column proof for these triangles.
HW puzzle was given out after the quiz. It will be collected on Monday.
EC question- How did you do on the quiz? Why did you have difficulty or why did you NOT have difficulty?

Trig pd 6
The quizzes on Graphing trig functions were returned. Most students received A's or B's. Congratulations!!
We learned how to write the equation of a linear or trigonometric graph. Given the graph, you need to write its equation.
HW Worksheet- # 1-14 all
EC problem #25 (This one has phase shift.)

Algebra 2H pds 1,4
We reviewed the topics for tomorrow's quiz on Solving Equations by Factoring and Word Problems involving consecutive integers.
HW-Puzzle Worksheet on Solving Equations by Factoring-This will be collected tomorrow.
BE prepared for the quiz!!! Go over all problems explained in today's class.
EC-Solve 3x^2 + 45 = -24 x

Geometry H pds 2,5
Tomorrow will be a short quiz on Congruent Triangles and Finding the Corresponding Parts of Congruent Triangles Congruent.
HW Worksheet -Do all problems.
EC question- Why do students have difficulty writing and understnading the steps for two-column proofs?

Trig- pd 6
Today was the quiz on Graphing Trig Functions. Hopefully, everyone did well!
No hw...
EC question- did you enjoy learning how to graph the trig functions? What parts were easy and what parts were difficult( if any)?

Algebra 2H pds 1,4
We are having a quiz on Solving Equations by Factoring and Consecutive Integer Word Problems on Friday.
HW Puzzle Worksheet on Solving Equations by Factoring
EC problem...Find two consecutive even integers whose product is 288.
Also---Write several sentences about CALYPSO music.

Geometry H pds 2,5
We went over how to prove triangles congruent as well as using the fact that corresponding parts of congruent triangles are congruent to prove the other parts of the triangles congruent.
A worksheet was completed on this topic during class.
HW Worksheet 4.4-Complete all problems.
EC question- Why is there no SSA in geometry proofs?

Trigonometry -pd 6
The quiz on Graphing Trigonometric Functions is tomorrow. Most questions are on graphing sine and cosine functions. There will be one question on graphing y=csc x or y = sec x or y = tan x.
Make sure you understand amplitude, phase shift, period, and vertical displacement.
EC problem....Draw the graph of y = 2-3 sin(4x)for 2 periods.

Algebra 2H pds 1,4
We went over word problems that deal with consecutive integers and the
squares of consecutive integers.
HW page 333 #52-61 all
EC page 327 #62.

Geometry H pds 2,5
We learned that AAS is another method for proving that two triangles are congruent.
A worksheet was given out during class for classwork.
HW textbook pages 215-217 # 1-4 all, #6,7,11,20, and 21.
EC problem #22

Trig pd 6
We added vertical displacement to the phase shift lesson for graphing sine and cosine functions. The next quiz will be on Thursday.
HW Worksheet #23-31 odds #35.
EC problem #32

Week of November 29th

Algebra 2H pds 1,4
We learned how to solve quadratic equations using factoring. Many examples were explained during today's class.
HW page 326 #1,3,5,7,9,13,15,19,21,23,27,31,35, and 37.
Ec problems #42,44

Geometry H pds 2,5
We went over two column proofs for proving triangles congruent by the SSS, SAS, or ASA method.
HW worksheet 4.2 -Do ALL problems..
EC-page 210 #38

Trig pd 6
We went over how to graph trig equations with phase shift. This is a shift on the x axis.
HW worksheet #1,3,7,11,15,17
Ec problem #21

Algebra 2H pds 1,4
Tomorrow is the quiz on Factoring Polynomials. A practice quiz was given out today. ALL questions on the real quiz are SIMILAR to the practice quiz in the same order!
HW Finish the Practice Quiz and UNDERSTAND the problems on it!!!!
EC problem....Factor 32 X^3 - 108


geometry H pds 2,5
After going over the Constructed Response problem from the District Quarterly Test, we began Chapter Four. Today's lesson was on Congruent Figures. All angles and sides must be matched exactly for writing congruence.
HW Worksheet 4.1 Do all problems.

EC question...Draw triangle GEM congruent to triangle CAT. Write 3 congruence statements about the corresponding angles and 3 congruence statements about the corresponding sides.

Trig pd 6
Today, we learned the formulas for graphing trig functions with amplitude and period of any type.
HW Worksheet 4.2 #11-23 odds.
Ec problem #26

Algebra 2H pds 1,4
We went over Factoring Perfect Square Trinomials and the Difference of Two Squares. Many examples were explained during class.
HW page 313 #1,5,9,13,23,27,31,39,43,45,53,57, and 61.
EC problems #62,68

Geometry H pds 2,5
Today, students took the District Quarterly Test.
A hw puzzle worksheet was given out after the test.

EC question-How did you find the District Quarterly Test? What was easy for you, and what was difficult? Explain in at least four sentences.

Trig pd 6
We continued with the unit on Graphing Trig functions.
For sine and cosine graphs in the form of y = A sin B x or A cos B x,
Amplitude = the absolute value of 1/2(Max value - min value) or A,
Period or cycle = 2 pi/B.
HW Worksheet 4.2 #1,3,5,6,7,9
EC #13.

Algebra 2H pds 1,4
After going over 2 new factoring problems, students received a worksheet of 2 puzzles related to factoring trinomials with the coefficient of the first term more than 1.
HW Finish Puzzle 1 on page 91 and at least 5 problems form the puzzle on page 92.
Do all problems for extra credit points.
EC from the textbook-page 307 #74,76

Geometry H pds 2,5
Tomorrow is the District Quarterly Test on The work from Geometry so far.
Make sure you know the formulas for interior and exterior angles of polygons, as well as the angles used in parallel lines. Also, the distance formula is on this test.
EC Question- Why do you think LAUSD gives a District Quarterly Test to ALL students in geometry classes?

Trig pd 6
We started the unit on Graphing Trigonometric Functions. Today, we focused on the graph of y=sin x and y=cos x.
HW worksheet #1,3,4,6,7,8,9,10,15,16.
EC #5

Week of November 15 th

Algebra 2H pds 1,4
We learned how to factor trinomials with a coefficient higher than 1 in front of the first term. Also, if there is a GCF, take the GCF FIRST!!!
HW pages 306-307 #23,27,31,35,39,43,47,51,55, and 59.
EC problems # 64,66

Geometry H pds 2,5
Today was the quiz on Parallel and Perpendicular Lines. After the quiz, we went over examples of inductive and deductive reasoning.
HW- Finish the problems not done during class.

EC problem- Find the next two terms of 1,4,9,16,25, ___, _____
1,8,27,64,_____,_______

Trigonometry pd 6
Today was the quiz on Lessons 3.1-3.4.
Tomorrow, we'll be starting the unit on Graphing Trig Functions.
NO EC tonight!

Algebra 2H pds 1,4
Today was the 5 question quiz on Binomial Expansion and GCF Factoring and Factoring by Pairs.
After the quiz, we began the lesson on Factoring Trinomials. Many examples were given.
HW page 306 #1,3,5,7,9,15,17,19,and 21.
EC problem # 14 (Factor out the GCF first) and x^2 -10x -24.

Geometry H pds 2,5
Today, during class students took a practice test on Parallel and Perpendicular Lines. All students must memorize the slope formula, Point-Slope form and y=mx+b for Monday's quiz.
EC Question...In at least 4 sentences, tell how you will prepare for Monday's quiz.

Trig pd 6
We went over the questions for Monday's quiz and did a Quick Draw for Points REview.
Quiz on Monday-Lessons 3.1-3.4
EC- Why do you think radian measure is necessary for the study of trigonometry?

Algebra 2H pds1,4
There will be a 5 question quiz on Friday-2 binomial expansions and 3 factoring problems-one on using the GCF and two on Factoring by Grouping.
HW page 300 #27,31,35(pd 1) #37(pd 4), 39,43,45 and page 648 #17
EC problems- page 333 #37,38

Geometry H pds 2,5
We learned how to construct a line parallel to another line by making the corresponding angles congruent.
WE then worked on equations of lines in point-slope and y=mx+b form.
Finish the worksheet by Friday.
There will probably be a quiz on parallel and perpendicular lines as well as equations of lines on Friday.

EC- Construct line m parallel to line n through point P. (You have to do this on a clean sheet of paper for the ec.)

Trig pd 6
After going over the hw problems, students were given a review sheet for the first four sections of Chapter 3. All problems must be finished by Friday's class.
The next quiz will be on Monday. Review will be on Friday.
EC problem-Find the distance that the tip of a 3.4 cm minute hand of a clock will travel in 2 hours.

Algebra 2H pds 1,4
After going over Binomial Expansions, we started the unit on Factoring Polynomials.
We went over some problems using the GCF.
HW page 648 #9,11,13 and page 299 # 1-13 odds
EC problem (4x-3y)^4

Geometry H pds 2,5
Bring your compasses tomorrow!!!! We will be constructing parallel lines.
We went over the Distance Formula.
HW worksheet # 1-13 odds
EC problem Find the distance between the points (-5,12) and (4,-8).

Trig pd 6
The quiz on the Unit Circle was today.
Some binders were checked.
We went over the formula for the length of an arc of a circle using radian measure, and the formula the for area of a sector using radians. For these formulas, all angles must be in radian measure.
HW Worksheet 3.4 # 1-11 odds, 23,25,29,33,37,41,45,49.
EC problem #50

Week of November 8th

Algebra 2H pds 1,4
After going over the quiz from Friday, we learned a formula for binomial expansions using Pascal's Triangle. All problems have to be in the form (a+b)^n or (a-b)^n.
HW page 648 # 1,3,4,5
EC -Write at least 4 interesting facts about Blaise Pascal.

Geometry H pds 2,5
After going over the test on Angles of Polygons, we continued going over equations of parallel and perpendicular lines using the Point-Slope and y=mx+b forms.
HW Worksheet # 1-14 all
EC problem...Find the equation of a line perpendicular to 2x+3y=6. The perpendicular line contains the point (-4,6).

Trig pd 6
Tomorrow is the quiz on the Unit Circle. All students will be expected to write out the angles in degrees and radians, as well as the x and y coordinates of each angle.
HW worksheet #4,10,16,22,28,38,40,41,and 43.
EC problem - Prove that csc x is odd.

Algebra 2H pds 1,4
Today was the quiz on exponents. It appears to have been somewhat difficult for many students-is this due to not preparing for this quiz?
EC puzzle was given out after the quiz. It is due BEFORE class starts on Monday.

Geometry H pds 2,5
We went over parallel and perpendicular lines as related to algebra. Parallel lines have the same slope, but different y-intercepts. Perpendicular lines have slopes that are opposite (in sign) reciprocals of each other.
HW pages 177-178 #1-8 all and #16-19 all.
EC problem. On graph paper, graph the two equations:
y = (2/3) x + 4 and
y = (-3/2)x - 2. Are your lines parallel or perpendicular or neither?

Trig pd 6
We went over the unit circle in DETAIL today. You are responsible for knowing how to fill in a blank unit circle without your notes. We also went over odd and even functions.
HW worksheet # 1-21 odds and #37,39, 41,43.
EC problem #44
HW Worksheet

Algebra 2H pds 1,4
Tomorrow is the quiz on polynomials-addition, subtraction, multiplication
scientific notation, monomials, degree of a polynomial, PEMDAS, and negative exponents.
To be best prepared, go over ALL of the hw problems, as well as the Quick Draw problems.
Bring your binders and Quick Draws to class tomorrow.
EC problem.... Multiply (2x-5)^3

Geometry H pds 2,5
Today was the Major Test on the Angles of Polygons.
Some tests were excellent and some were not so great!
EC problem...Find each interior angle's measure in a dodecagon.

Trig pd 6
Today was the quiz on Reference Angles and Radian Measure.
EC...Evaluate your performance on the quiz. Write at least 3 sentences.

Algebra 2H pds 1,4
The lesson today was on Multiplying Polynomials. All of the problems were taught to you in your algebra one class!
HW page 295 #1,5,9,13,17,21,29,37,45, and 49.
EC problem #60

Geometry H pds 2,5
The topics for tomorrow's TEST include knowing the types of triangles, the formulas for the sum of the interior and exterior angles of any polygon, how to find the number of sides in a regular polygon if you know an interior or exterior angle, and the multi-angle problem we went over in class. Also, the formula for each exterior angle is 360/n. Each interior angle is supplementary to the adjacent exterior angle. also, know about alternate interior, corresponding, and same-side interior angles for parallel lines.
EC question-How will you prepare for tomorrow's test? Write at least 4 sentences.

Trig pd 6
Tomorrow is the quiz on reference angles, exact values, and radian measures.
No calculators are allowed for this quiz!!!!
EC question-When do you need a calculator and when don't you need a calculator for reference angles and radian measure?

Algebra 2H pds 1,4
After hw, we went over lesson 5.2, which is on Polynomials, Sums and Differences. This lesson is a review from Algebra 1.
HW page 286 #1,5,9,13,17,21,25,29,33,37,41,45,49, and 53.
EC problems #48,52

Geometry H pds 2,5
Our next quiz on the Triangle and Angles of Polygons(exterior and interior) is on Thursday. Today, we went over a multi-angle problem, which reviewed many previous concepts from geometry.
HW Worksheet- #1-14 all
EC problem-If each interior angle of a regular polygon = 175º, find the number of sides in the polygon.

Trig pd 6
We reviewed the lesson on changing angles in degrees to radians and vice versa. It is important to learn the radian equivalents for angles that are multiples of 30º,
45º, and 60º.
HW worksheet #39,51,55,59,63,67,70,71,73,75.
EC problems #76,78

Week of November 1st

Algebra 2H pds 1,4
After going over the more complicated exponent problems, we learned how to write very large and very small numbers in scientific notation.
HW pages 278-279 #37,39,51,56,59,73,79,83,87,91,95, and 99
EC problems #58,126 (page 280).

Geometry H pds 2,5
We will be having our next quiz on the topics of triangles and sum of the interior and exterior angles of polygons. Parallel line angles are also necessary to know.
Today, we went over some sample quiz problems.
HW Worksheet 3.5-Do ALL problems.
EC problem...Find the interior and exterior angle sum of the angles in a regular decagon. Also, find the measure of each angle(interior and exterior).

Trig pd 6
We learned that radian measures are the real number equivalents for angles in degree measure. For example, 30º = pi/6 radians.
HW worksheet #11,17,20,29,31,33,35,37,43,47,49,53,57,61.\
Ec problems #22,55
The next quiz will be on Wednesday.

Algebra 2H pds 1,4
We went over the rule for multiplying and dividing with exponents. We also learned that a negative exponent is a positive fraction!
HW pages 277-278 #11,15,19,23,33,37,41,51,and 55.
Ec problems #56,74

Geometry H pds 2,5
We went over the sum of the exterior angles of any polygon = 360º. to find each interior angle of a regular polygon, divide the sum by the number of sides.
HW pd 2 worksheet # 11
pd 5 Finish the worksheet if it wasn't completed in class.
EC Find the 6th angle of a hexagon if its 5 angles are 130º, 140º, 90º, 120º, and 150º.

Trig pd 6
HW # 12,24,36,48,60,70,80
No ec tonight!

Algebra 2H pds 1,4
Today was the quiz on word problems involving systems of equations.
Tomorrow, we will begin the unit on Exponents and Factoring Expressions.
EC question...A plane flew with the jet stream a distance of 2250 miles in 5 hours. The plane then flew against the jet stream a distance of 1750 miles in 5 hours. Find the rate of the plane in calm air.

Geometry H pds 2,5
Today, we proved that the angles in a triangle add up to 180º. We also learned the formula for finding the sum of the interior angles in any polygon.
It is 180(n - 2).
HW Worksheet # 1-8 all
EC problem...find the sum of the interior angles in a 54-sided polygon.

Trig pd 6
We started Chapter Three. The topic today was on finding reference angles.
HW Worksheet #1,9,15,17,25,33,41,47,49,57,65,67,71,75,79.
EC problems #66,80

Algebra 2H pds 1,4
Tomorrow is the quiz on word problems-numbers, tickets, coins, mixture, investment, and rate problems are the categories.
HW Finish #45 and #46 from page 266 on the Quick Draw Paper.

EC problem...Mr. Smith has $10,000 to invest. he invests part at 5% and the rest at 6%. If he earns $570 after one year, how much did he invest at each rate?

Geometry H pds 2,5
After viewing the Op ART projects, we went over the fact that the exterior angle of a triangle = the sum of the 2 remote interior angles.
HW Worksheet # 1-17 all
Ec question... If the exterior angle of a triangle = 6x and the two remore interior angles are 2x and x+48, find x and the measurement of all the angles. Draw a diagram of this problem.

Trig pd 6
Today was the quiz on Vector and Navigation Problems.
Hopefully, everyone did well.
EC question...If sin A = 3/5 and A terminates in Quadrant II, find cos A and tan A.

Week of October 25th

Algebra 2H pds 1,4
We will be having a quiz on word problems this Wednesday.
Today, we went over the interest and mixture(percent) problems.
HW page 250 #2,6,9,15,17,18.
EC problem #19.

Geometry H pds 2,5
After going over the hw on parallel lines and angles, we started the lesson on the Triangle. The main idea is that the sum of the angles of a triangles = 180º.
HW Worksheet on Parallel Lines # 1-11 all
EC problem- The three angles of a triangle are (x+5)º, (2x-3)º, and (2x-12)º.
find x and find the measure of each angle. What kind of triangle is this?

Trig pd 6
Quiz is tomorrow on word problems involving vectors, groundspeed, and navigation.

EC problem - If the altitude of an isosceles triangle is 25 cm and each of the two equal angles measures 17º, What is the perimeter of the triangle?

Algebra 2H pds 1,4
Today, we went over the rate and number word problems.
We went over a puzzle involving rate problems during class.
HW Finish the puzzle-it will be collected on Monday.
Also, do pages 250-251 #1,3,5,21,22,23.
EC problem #24.

Geometry H pds 2,5
It is essential that all students review the worksheets at home!
We went over more problems on corresponding angles, alternate interior angles and same-side interior angles making lines parallel. Corresponding and alternate interior angles must be congruent, and same-side interior angles must be supplementary for the lines to be parallel.
A "Pop" quiz was given today as well.
HW Worksheet Practice 3.2 # 2-13 all
Also, you Optical Art Projects are due this Tuesday!!!!!

EC problem...textbook page 144 # 26,27.

Trig pd 6
We are still going over Application problems involving vectors.
HW Worksheet #1-8 all (some questions are review from the last quiz.)
EC problem- worksheet from yesterday #42.

Algebra 2H pds 1,4
Quizzes were returned. The new topic was Applications involving Systems of Equations. Today, we went over the Coin and Ticket Problems.
HW pages 250-251 #7,8,25,26,27.
EC Problem #28.

Geometry H pds 2,5
All students MUST understand the concept of Corresponding, same-side interior and alternate interior angles.
We had a SHORT quiz today-4 questions.
Next, we began the new lesson on the converse of the previous lesson. Today, we are given that certain angles are congruent, and then we must figure which lines, if any are parallel.
HW textbook page 137 #1-8 all.
EC problem page 139 # 30

Trig pd 6
We went over the lesson on Vectors-a Geometric Approach.
HW worksheet #1,9,13,15,23,29,33,35,37
EC problem #19

Algebra 2H
Quiz was today. Most of the grades were fine!
NO hw...
EC problem..Solve x+2y+z = 4
4y-3z = 1
y+5z = 6

Geometry H pds 2,5
We are studying parallel lines and the angles called corresponding, alternate interior and same-side interior. Please learn and understand these terms!
HW textbook page 132 #14,15,16,23,24, and 25.
EC problem page 192 #11,12.

Trig pd 6
Today was the quiz on Application Word Problems.
No hw tonight.
EC Write a paragraph describing how you prepared for this quiz and how you think you did on this quiz.

Algebra 2H pds 1,4
Today, we reviewed for the quiz tomorrow on Solving Systems of Equations by graphing, elimination, or the substitution methods.
Bring your Quick Draws to class tomorrow!
EC problem....solve the system: 2x + y + z =11
3y - z = -1
2z = 8

Geometry H pds 2,5
We learned that if two parallel lines are cut by a transversal, then corresponding angles are congruent, alternate interior angles are congruent, and same-side interior angles are supplementary.
HW Worksheet 3.1- Do ALL problems....
EC If parallel lines l and m are cut by transversal t, and angle 1 and angle 2 are same-side interior angles, find the measure of each angle is angle 1 = 2x+24 and angle 2 = 3x +16. Draw a diagram of this problem also.

Trig pd 6
Quiz on Application Word Problems is tomorrow. To be prepared, go over all problems we discussed during class.
EC problem....Make up your own bearing problem and solve it (worth double if you make up a good problem!)

Week of October 18th

Algebra 2H pds 1,4
We are reviewing for our quiz this Wednesday. Topics are solving systems of equations in 2 or 3 variables, plus solving systems by the substitution method.
HW Review page 265 # 1-25 odds.
EC problem-page 226 #32.

Geometry H pds 2,5
We discussed the next are geometry project on Optical Art. All op art projects are due next Tuesday, October 26th.
We also started the new unit on transversals and special names of angles formed by two lines cut by a transversal.
HW Finish the worksheet # 11-24 all.
Ec problem....Draw two lines and cut them with a tranversal. Label the lines AB and CD and the transversal t. Label the 8 angles formed by using numbers 1-8.
Name your corresponding angles, alternate interior angle angles,alternate exterior angles, and same-side interior angles. These should be named in pairs.


Trig- We are still working on trig application problems. We went over problems involving bearing.
HW Worksheet -Do all problems.
EC problem- A boat travels on a course of bearing S 56.7º W for 104.8 miles. How many miles south and how many miles west has the boat traveled?

Algebra 2H pds 1,4
We continued practicing the solution of systems of equations in 3 variables. The method used is to eliminate one variable in the beginning.
HW page 226 #3,7,13,15.
EC problem #16.

Geometry H pds 2,5
Today was the test on Chapter Two material.
HW puzzle was given out afterwards.
This will be collected and graded on Monday.
EC problem...
Two vertical angles are (9x-4)º and (13x -28)º.What is the measure of each angle?

Trig pd 6
We went over problems involving the bearing of an angle.
Many of the word problems are similar to the problems we learned in geometry class.
HW worksheet #10,13,17,19,21,23
EC problem #24.

Algebra 2H pds 1,4
Due to the many 10th graders taking the CAHSEE Prep Test, students in class worked on a puzzle which involved graphing two equations on the same graph to find the solution to the system.
Students taking the CAHSEE prep will have to make up this puzzle.

Geometry H pds 2,5
Because the majority of students were in class, we reviewed for tomorrow's test. New work was NOT covered.
The topics for tomorrow's test are: Writing Conditionals and their converses, Writing Biconditionals, knowing how to use the Laws of Detachment and Syllogism, understanding complementary, supplementary, and vertical angles, and properties from algebra.

Trig pd 6
We worked on word problems which use trig functions to solve them.
HW Worksheet #1-11 odds #12
EC problem #6

Algebra 2H pds 1,4
All was put on hold since most of the class was taking the PSAT.
Students in class worked on an algebra puzzle.
To all other students: See me if you want to do an extra credit puzzle
on Solving Systems of Equations in Two Variables.

Geometry H pds 2,5
We are reviewing for the test on Special Pairs of Angles, Laws of Detachment and Syllogism, Converses and Biconditionals, and Properties from Algebra.
HW Worksheet on Review of Converses and Biconditionals.
Students who were absent will need to make up this work!
No ec tonight due to the many students taking the PSAT!!!!

Trig pd 6
Today was the long quiz on Exact Values of trig functions, SOHCAHTOA, Calculator values for trig functions, as well as the Ferris Wheel, Circle and Triangle problems.
EC...Why is the tangent of 89.9999º so huge? Why is the tangent of 90º undefined?

Algebra 2H pds 1,4
We went over the Substitution method of solving Systems of Equations in 2 variables. We also solved a system of equations in 3 variables. Good organization skills are a must to correctly solve these systems!
HW page 219 #35,39 and page 226 # 1,5,9
EC-page 226 problem # 6

Geometry H pds 2,5
Our next quiz will be on Thursday-it will cover conditionals, biconditionals, the laws of detachment and syllogism, algebra properties, and pairs of angles(complementary, supplementary, and vertical).
HW Do worksheet 2.5 -
EC problem-Write two true statements for the biconditional:
A triangle is an equilateral triangle if and only if its sides are congruent.


Trig pd 6
We reviewed for tomorrow's quiz during class.
There will be a ferris wheel problem on the quiz.
STUDY if you need to!!!!
EC- Find the height of a person on the ferris wheel at 135º. The diameter of the wheel is 240 feet, and the top of the wheel is 254 feet above the ground.

Week of October 11th

Algebra 2H pds 1,4
After going over the quiz, we learned how to solve a system of equation in 2 variables. We used the graphing method and then the algebra method called elimination of a variable.
HW Textbook pages 219-220 #3,9,15,21,27,43,47,55, and 61.
EC problem #62.

Geometry H pds 2,5
We learned about vertical angles being congruent, as well as reviewing complementary and supplementary angles. A cw worksheet wascompleted during class.
HW Worksheet on Pairs of Angles-Complete ALL questions.

EC problem...Two vertical angles have measures of (5x-15)º and (3x+27)º. Find x and the measure of each angle. Draw a diagram as well.

Trig pd 6
We are reviewing for the next quiz, which will be on Wednesday.
HW #1-29 odds.
Find 4 interesting facts about George Ferris.

Algebra 2H pds 1,4
Because of the quiz today, there is no hw this weekend! I should have your report card grades ready by Monday.
EC problem...Make this equation true by changing just 1 digit:
101 - 102 = 1
or.....Rachel has a collection of stuffed animals. Of the animals, 3/8 are bears, and 1/5 are dogs. Howmany other animals does she have?


Geometry H pds 2,5
We measured angles using a protractor. Two activities involving measurement were done during class.
No hw this weekend!
We will go back to the work we were doing yesterday (algebra properties).
EC problem....Draw a large obtuse triangle, and measure its angles using a protractor.

Trig pd 6
We went over the hw problems, and then students received a review sheet for Chapter 2-All problems on this paper must be done by Monday.
EC....Do research on the Reisenrad Ferris Wheel. Write a short paragraph about it.

Algebra 2H pds 1,4
Tomorrow is the quiz on equations and inequalities of lines.
HW Puzzle paper on equations of a line
EC problem....Find the equation of a line with (1,-3) which is perpendicular to another line containing(-5,3) and (7,-2).

Geometry H pds 2,5
After going over the hw on the Law of Detachment and the Law of Syllogism, we went over the Properties from Algebra that will be used in future lessons in geometry.
HW pages 105-106 # 1-20 all - COPY the Questions!!!
EC question.--page 107 # 28.

Trig pd 6
We went over the Ferris Wheel problem. We learned how to find the height of a rider at 45º intervals as the Ferris wheel goes around in a complete circle.
HW Worksheet 2.3 #31,37,41,45,57.
EC problem #38.

Algebra 2H pds1,4
We are reviewing for the quiz on Friday. Topics include the slope formula, slopes of parallel and perpendicular lines, slope-intercept form, point-slope form, and standard form. Also, graphing lines and inequalities are to be tested.
Review HW -textbook page 206 #1,2,3,5,7,8,9,11,13,15,18,19,20,21 and
page 266 #48.
EC problem(if you're up to it) page 206 #17

Geometry H pds 2,5
We learned the Law of Detachment and the Law of the syllogism today. Both of these laws are used in Deductive Reasoning.
HW Worksheet 2.3 Do ALL questions.
EC-Write a conclusion if possible:
1) All cows eat grass. Elsie eats grass.
2) All cows eat grass. Elsie is a cow.

Trig pd 6
We started lesson 2.3 on Solving Right Triangles. We also went over the concept of significant digits.
HW Worksheet #1,5,9,13,17,21,25,29,35,39,43,47
EC problem #46

Algebra 2H pds 1,4
We learned about graphing systems of inequalities.
HW Worksheet - Do both sides- one side is on inequalities, and the other side is on equations-Change to y= mx + b form.
EC Graph y> 2x-5 and y< (-1/2)x +3 on the same set of axes.

Geometry H pds 2,5
We learned about biconditionals today. We finished going over the cw worksheet from yesterday's lesson.
HW Worksheet 2.2- Do ALL problems.
EC question- Write the following biconditional statement as a conditional and its converse. Points are collinear if and only if they lie on the same line.

Trig pd 6
We finished going over using the calculator for finding the trig values of angles or finding the angles when given the trig values.
HW Same worksheet #15-91 every 4th question
EC problems-#91 and 93.

Week of October 4th

Algebra 2H pds 1,4
We went over the fact tht perpendicular lines have slopes that are negative reciprocals of each other. We also graphed linear inequalities(solid line for = and dashed line otherwise). Shad above the line for > and below the line for <.
HW page 163 #5,11,17,23,29,37 and page 154 #47,51,55, and 59.
EC problem page 164 # 42.

Geometry H pds 2,5
We started Chapter 2 today by going over conditional statements and their converses. A conditional statement should be written in if-then form.
HW textbook pages 83-84 # 1-18 all and #23,24.
EC problem- Write the following in if-then form: All cows eat grass.
Then write the converse and determine whether the conditional and its converse are true.


Trig pd 6
We used calculators to find the trig functions of acute angles. We also went over degrees, minutes, and seconds of an angle, as well as adding and subtracting angles with degrees, minutes, and seconds.
HW worksheet #1-65 every 4th question
EC problem #82

Algebra 2H pds 1,4
We began the unit on 2 variables with the graphing of a line and its forms. There's standard form, slope-intercept form, and point-slope form.
HW page 129 # 7,11,15,17, and page 141 # 7,11,15,19,31, and 35.

EC problem- Graph the equation 3x -4y = 12 using the x and y intercept method. Then, show that the line will be the same if you solve for y and use the slope-intercept form.(In other words, graph this equation twice using two different methods.)

Geometry H pds 2,5
Today was the Test on Chapter One. It covered many different topics.
A puzzle on Complementary and Supplementary Angles was given out afterwards. It will be collected on MOnday so make sure you do the work!

EC problem- Two angles are supplementary. One angle is 3x and the other angle is 2x-10. Find the measure of each angle.

Trig pd 6
We began the second chapter today. We went over how to calculate the exact values of the trig functions of 0º, 30º, 45º, 60º, and 90º angles. We also learned about cofunctions.
HW worksheet #11-47 odds
EC #30

Algebra 2H pds 1,4
Today was the quiz on Absolute ValueInequalities and Compound Inequalities.
No HW tonight!
EC-why do you think some students are having difficulty with this topic?

Geometry H pds 2,5
Tomorrow is the Quiz on Points, Lines, Planes, Segment Addition and Angle Addition Postulates,midpoints of segments, and angle bisectors.
STUDY your worksheets!!!!
EC- Ray BA bisects angle CBD. If angle CBA = 3x+5 and angle DBA = 5x - 11 find x and the measure of angle DBA.

Trig pd 6
Today was the Quiz on Using Identities in Problems and Proofs.
EC problem...Using your knowledge from the previous lessons, find the exact value for the sine of 150º and the cosine of 150º. Then use the ratio identity to find the tangent of 150º.

Algebra 2H pds 1,4
Tomorrow is the quiz on absolute value inequalities and compound inequalities.
Quick Draw papers must be handed in before the quiz.
Study the examples for the quiz!
EC problem...page 116 #40

Geometry H pds 2,5
We learned the terms complementary, supllementary, and vertical angles. We also finished going over the Angles worksheet from yesterday.
HW New Worksheet- Do BOTH sides of the worksheet!
Also, DAISY DESIGNS are due tomorrow!!!!!
There will be a quiz on segments and angles on Friday.
EC problem for those who find the time: Angle 1 and angle 2 are adjacent angles. Their sum is 180º. What kind of angles are they? If angle 1 = 3x+10 and angle 2= 2x+40, find the measure of each angle.

Trig- pd 6
Tomorrow is the quiz on using the trig identities to solve problems and do proofs. If you go over the review test and the hw papers, you should get an A!!!!
EC problem...If csc x = -4 and x is in Quadrant 4, find cos x and tan x.

Algebra 2H pds 1,4
We learned how to solve absolute value inequalities. They are solved using the compound inequality method. (> means "or" and < means "and").
HW pages 110-111 # 5,7,13,17,21,25,29,33,41, and 45.
EC problem #50.

Geometry H pds 2,5
We started the lesson on Angles. The sides of an angle are rays, and their endpoint is the vertex. We also went over the Angle Addition Postulate.
HW page 40 # 1-14 ALL
EC problem-page 41 #47 All work must be shown for the extra credit!

Trig pd 6
We finished going over the Proofs involving Identities. A review sheet was given out to prepare for the next quiz, which will be on Thursday of this week.
HW #18-32 all
EC problem...Prove that tan x + cos x = sin x(sec x + cot x)

Week of September 27th

Algebra 2H pds 1,4
We went over the solving of compound inequalities, as well as interval notation, union and intersection.
HW pages 99-100 # 37-51 odds. All answers are in the back of the book!
EC problem #66.

Geometry H pds 2,5
We went over the Segment Addition Postulate, as well as applications of the midpoint definition and bisector of a segment.
HW textbook pages 33-34 # 1-19 all
EC problem- Point C is between points A and E. If AC = 3x and CE = x + 6 and AE = 50, find the value of x, AC, and CE.

Trig pd 6
We went over Trigonometric Proofs involving the identities in the steps.
HW Worksheet #47,51,55,59,63,67,71, and 75.
EC problem #79.

TGIF!!!!
Algebra 2H pds 1,4
Today was the quiz absolute value equations and inequalities.
No hw this weekend!
EC question----The third angle in an isosceles triangle is 8º more than twice as large as each of the two base angles. Find the measure of each angle of the triangle.

Geometry H pds 2,5
Today was the quiz on basic constructions.
HW Finish the word search puzzle. Also, work on your Daisy Design project. It is due on Thursday, September 30th.
EC problem...Draw a large triangle with three acute angles. Construct the angle bisectors of all three angles. What appears to be true about the three angle bisectors?

Trig pd 6
After the Identity quiz, we continued the next lesson of the course, which uses the trig identities to solve problems related to algebra.
HW Worksheet #3,5,7,11,15,19,23,27,31,35,39,43.
EC problem - #30

Algebra 2H pd 1
Tomorrow is the quiz on solving equations, absolute value equations, and inequalities with graphing the solution on a number line. The questions from today's Quick Draw are a good sample to go over in addition to any hw problems from the worksheets this week.
HW-Be prepared for the quiz-Make sure you understand how to solve the problems with fractions!!!!
EC problem....Jeanne bought some $16 skirts and some $22 blouses. She bought 2 more blouses than skirts. Her total bill was $120. How many of each did she buy?

Geometry H pds 2,5
Tomorrow is the quiz on Basic Constructions. Make sure you know the steps for each example. The quiz will be similar to our worksheets this week.
In addition, the Daisy Design project was assigned. Your Daisy Design is due next Thursday, September 30th. Make them colorful and attractive!!!!
HW- Be PREPARED for the quiz tomorrow!!!!
EC problem- Draw Segment AB about 4 inches (10 cm) long. Construct its perpendicular bisector. Label this line CD. Make a statement about your construction result. What two segments are now congruent?

Trig- pd 6
Tomorrow, you will be asked to write the 9 identities with their equivalent forms as a quiz. Memorize them!!!!
HW worksheet # 37,41,45,49,51
EC problem #50

Algebra 2H pds 1,4
We finished the worksheet by going over the remaining solving inequalities problems on the worksheet. There will be a quiz on Friday. Topics include: solving equations, solving absolute value equations, and solving inequalities.
HW textbook- page 116 # 6,8,10, and #27-41 odds.
EC problem page 105 # 58d and e

Geometry H pds 2,5
We learned how to construct a regular hexagon in a circle, as well as how to construct a line perpendicular to another line (2 different problems).
HW Review worksheet # 1-7 all
There will be a quiz on Friday on Constructions.
EC problem- Draw line m with point P on it. Construct a perpendicular through point P and label it line AP. What kind of angles are formed by perpendicular lines?

Trig pd 6
We learned the identities for trigonometric functions. These must be memorized.
HW Worksheet #9-31 0dds
EC problem #39

Algebra 2H pds 1,4
After going over the hw problems on absolute value equations, we reviewed how to solve and graph inequalities. You must remember to change the inequality sign when multiplying or dividing by a NEGATIVE number.
HW worksheet # 17-28 all
EC problem- # 35

Geometry H pds 2,5
We continued with our construction unit. Today, we learned how to copy an angle, bisect an angle, and construct an equilateral triangle.
HW Worksheet- do the constructions on copying an angle and bisecting an angle. Remember, practice makes perfect!
EC problem- Construct an equilateral triangle and then construct a bisector of one of its angles.

Trigonometry pd 6
Today was the 1st quiz- Hopefully, everyone did fine!
No hw or ec tonight.

Week of September 20th

Algebra 2H pds 1,4
After going over the hw on equations, we also went over the 3 word problems on the hw paper. We will return to word problems in the future in more detail.
Today's lesson was on Solving Absolute Value Equations. If the absolute value = a positive answer, there are two equations to set up. If the absolute value= a negative answer, there is NO SOLUTION, and no work to show!
HW Worksheet # 1-15 ALL- Show all work!!!
EC problem--The width of a rectangle is 12 cm less than twice its length. If the perimeter of the rectangle = 102 cm, find the length and width of the rectangle.

Geometry H pds 2,5- Tomorrow's quiz is postponed due to our construction unit!!!
Today, we used our compass and straightedge to construct a segment = to another segment, and to construct a segment bisector (divides the segment into 2 equal parts). WE also constructed a Daisy Design.
HW Worksheet-Do ALL construction problems.
EC problem... Draw a segment on your paper of 12 cm. Call it segment QR. Construct the bisector of segment QR. Label the point of intersection M, and the segment bisector line JK.

Trig pd 6
Today was the review for tomorrow's quiz. There will be many questions on finding the sides of the special right triangles. Other problems will be similar to the review sheet.
EC question- What part of tomorrow's quiz is most difficult for you to remember? Why?

Algebra 2H pds 1,4
Our first week of school has ended! You should have received your first quiz back today. Don't be discouraged if you didn't do as well as you hoped. There will be more opportunities to get good grades.
We reviewed the solving of equations today.
HW finish # 1-10 on the worksheet. Try the three word problems as well. I just want to know if you understand them!

EC problem...Solve: 5(3x - 2) + 2(1 - x)=3(7 +3x) - 4(6 - x).

Geometry H pds 2,5
Remember that compasses and rulers are due on Monday!!!!
Today, we learned more vocabulary for geometry- segments, rays, opposite rays, parallel and skew lines, betweenness of points, and parallel planes.
Make sure you review ALL terms and understand their meaning.
We are having our first quiz on Tuesday.
Have a great weekend!!!!

Trig pd 6
We are finished with lesson 1.3. Everyone should have the 6 trigonometric functions memorized in terms of x,y, and r. The words coterminal angles, terminal side of an angle in standard position, and quadrant signs for the trig functions should be understood by now.
HW- Finish the practice test for Monday. We will review this on Monday, and your first quiz will be on Tuesday.

EC problem.....Draw 45º and -45º in standard position. Choose a point on the terminal side of each angle. Show that cos(-45º) = cos 45º.
Also, show that sin(-45º)= - sin 45º.

Algebra 2H pds 1,4
Today was the first quiz on algebra review topics. Most students did well!
Make sure your binder is ready to be checked by me tomorrow (dividers are required.).

EC problem....Use nine 8's to write an expression that has a value of 14.

Geometry H pds 2,5
We put the final touches on the topic of points, line, and planes.
HW Finish the worksheet we started doing in today's class.

EC problem--Molly and Maggie are Martha's mother's son's wife's daughters. What relation is Martha to Molly and Maggie?

Trig- pd 6
We continued with the topic of the 6 trigonometric functions.
HW Worksheet- #13,30,36,38,40,42,46,49,52
EC #56.

Algebra 2H pds 1,4
We are having a short quiz tomorrow on the work covered so far this week. Topics include: order of operations, properties, classification of numbers, and simplifying expressions using the distributive property and combining like terms.
HW -Finish the worksheet that everyone started during today's class. We will go over any questions from this worksheet before the quiz.
EC problem...Use five 5's to write an expression that has a value of 10.

Geometry H pds 2,5
We finished the lesson on points, lines, and planes. After going over the hw worksheet, we learned the first 4 postulates for geometry. These should be memorized and understood.
HW Finish the worksheet started during class today.

EC problem - Draw 2 intersecting planes -Label one plane P and the other plane R. Show all dashed segments to indicate the hidden parts. Label the line of intersection line JK. (There is an example of this picture on page 20 # 38-43 section)


Trigonometry pd 6
We learned the definitions of the 6 trigonometric functions (sine, cosine, tangent, cotangent, secant and cosecant). These must be memorized ASAP!!!!
HW Worksheet #3,7,11,15,19,23,27,31,35,39 and 43.
EC problem #45

Algebra 2H pds 1,4
After grading the hw papers, we reviewed properties of real numbers as well as classifications of real numbers (natural, whole, integers,rational,irrational).
HW Worksheet 1-2 Do ALL problems.
EC problem: Explain why all integers are also rational numbers and why the square root of 10 is an irrational number.

Geometry H pds 2,5
We explored patterns in figuring out a formula for how many segments can be formed from a given number of points. We also learned more about points, lines, and planes (undefined geometry terms), as well as collinear points and space (defined terms).
HW Worksheet 1.3 # 1-31 all
EC problem- If you drew 15 points on a circle, how many differentline segments could you draw between any two points on your circle? Show your work!

Trig pd 6
After going over the hw problems, we reviewed the distance formula and learned how to draw angles in standard position on the coordinate plane.
HW worksheet #17-33 odds and #35-57 odds
EC problem #58.

Week of September 13th

Algebra 2H pds 1,4
After going over the requirements of the binder and other information, we reviewed the topic of Order of Operations.
HW- Get your parents to sign the Fall Semester rules paper.
Finish # 1-15 on Order of Operations worksheet.
EC problem...Evaluate a^3c^4/d^3 - c/e^2
a=3/4 c= -2 d= 3 e= 1/3
(^ means exponent)

Geometry H pds 2,5
After going over the requirements of the course (binder for Friday and compass& ruler for Monday), we went over a worksheet with some basic geometry vocabulary. Everyone graded his/her own paper.
HW- Have your parents sign the course requirements paper. Make sure they understand that you need to have a compass and ruler for this class by Monday.

EC problem....Draw a picture of a plane with a line intersecting the plane at one point. Label the point A and the line CB. Line CB should contain point A.

Trig pd 6
After going over the requirements of the course, we reviewed the Pythagorean theorem from geometry and went over problems related to this theorem.
HW Worksheet #25-41 odds+ Have your parent sign the course requirement paper.
EC problem #40

Welcome back to School!

Hi Everyone,

I'm looking forward to seeing my old students and meeting my new students on September 13th. Be ready to work hard and enjoy learning!!

Week of June 14th (LAST WEEK OF THE SEMESTER!!!!)

To All of My Classes:

This will be my last web log post until the fall semester. It has been an enjoyable experience for me to have been your math teacher this school year!
I hope you will do well on your final exam-just know how to do the work on the review sheets, and you'll do fine! The questions on all of the final exams are based on the review sheets.
****************************
Please remember to bring your binders to class on the day of your final exam!

Algebra 2H pds 1,2
We are reviewing for the final exam. The final is on Wednesday, June 16th. Remember that binders will be graded the day of the final exam.
HW Review Sheet # 15- 33 all.
EC problem - Solve by using the quadratic formula: 3x^2 -5x + 7 =0

Geometry H pds 3,5
We are reviewing for the final exam. The final for pd 3 class is on Thursday,June 17,and the final for pd 5 class is on Friday, June 18th. the last day of review is on Tuesday. Remember that binders with the semester's work are due on the day of the final exam.
HW Finish the problems started during class today. They are on the back of last night's hw paper.
EC problem..Find the TA of a rectangular solid with length 8 cm, width 6 cm, and height 3 cm. Draw a picture of this solid. This is the LAST ec for this semester.

Math Analysis pd 4
After going over the limit problems (which will be on your final test), we started reviewing topics covered much earlier in the semester. This included trig form, standard form, and DeMoivre's Theorem.
HW Review Sheet # 1-15 ALL

EC problem Find in trig and standard form (-2 + 2i)^4

Algebra 2H pds 1,2
Today was the quiz on probability. Afterwards, the review sheet for the Final Exam was given out.
HW Do # 1-10 (or more) for tomorrow.
EC question # 14

Geometry H pds 3,5
We are reviewing for the Final Exam. After going over the review problems from yesterday's packet, students received the second review paper.
HW Do all problems on the front side for tomorrow.
EC Find the area of a circle with circumference 136 pi. (This is very easy!!!)

Math Analysis pd 4
We finished the second lesson on Limits of a function. Today, we focused on limits from the positive and negative side of a number-sometimes limits do not exist and sometimes they do exist. We also went over a limit example from calculus (difference quotient).
HW pages 760-761 # 44,48,63
EC problem #64.

Algebra 2H pds 1,2
We are having a quiz on Probability tomorrow. Go over the review problems from today plus any other hw problems we went over in class.
HW Review Test # 8.9,10,12
EC problem #11

Geometry H pds 3,5
After going over the quiz on Solids, we started review for the Final Exam.
For pd 3, the final is next Thursday,June 17th, and for pd 5, the final is next Friday, June 18th.
HW Finish the review problems you did not finish during class.
EC problem- Make a list of all topics we have covered this semester. Tell what you liked or disliked.

Math Analysis pd 4
Because of the field trip, we learned how to use the graphing calculator to find determinants and inverses of matrices. We also learned how to multiply 2 matrices on the calculator, as well as solve an equation in 3 variables using matrices.
Students who did the work will receive credit tomorrow.
HW Make sure last night's assignment is completed!
EC-Using the law of cosines, find the 3rd side of a triangle with 2 sides = 34 and 42 and the included angle 52º. Use your notes to find the formula!

Algebra 2H pds 1,2
Today, we learned about using probability in binomial trials. This is used when there are 2 different possible outcomes and the events are independent.
HW Worksheet # 10,11,13,16
EC problem #12

Geometry H pds 3,5
Today was the long awaited test on Solids and Ratios of Similar Solids.
EC problem...A solid metal cylinder with radius 6 cm and height 18 cm is melted down and recast as a solide cone with radius 9 cm. Find the height of the cone. (Hint-Use the volume formulas).

Math Analysis pd 4
We went over two techniques for evaluating limits of functions. One was the dividing out technique (factoring), and the other was the rationalizing technique.
HW pages 760-761 # 5,6,7,9, and 11.
EC problem #8

Week of June 7th

Algebra 2H pds 1,2
We are still learning about the probability of mutually exclusive and inclusive events.
HW Worksheet # 2-16 evens #22,24,26
EC problem-A committee of 5 people is to be formed from a group of 7 men and 6 women. What is the probability that the committtee will have at least 3 women?

Geometry H pds 3,5
The Test on Solid and Ratios of Similar Solids is tomorrow. To do well, you should know how to solve all problems on the review sheets.
HW Study the problems from the review sheets!!!
EC problem...Find the volume of a sphere with surface area of 144 pi.

Math Analysis pd 4
We learned about limits of functions as x approaches some given number. Examples were given out during class of different types of functions.
HW pages 750-751 #3,4,5,15,19,20,45, and 47.
EC problem #4

Algebra 2H pds 1,2
After going over the hw problems on multiplying probabilities, we learned about the probability of mutually exclusive and inclusive events. This is when you add the probabilities together and sometimes subtract the intersection if both events can occur simultaneously.
HW Worksheet # 1-17 odds.
EC problem..A letter is chosen at random from the alphabet. What is the probability that the letter is contained in the word GLASS or in the word SLOWER?

Geometry H pds 3,5
We are reviewing for the quiz on Solids (Tuesday). Today, we reviewed cones, prisms, pyramids, spheres, and cones.
HW Worksheet # 15-18 all and Worksheet #2 1-7 ALL
EC problem...Find the TA and Volume of a right triangular prism with base edges 6,8,10 and height of the prism 12.

Math Analysis pd 4
The quiz on matrices was today. No hw.
EC- Make a list of the topics we have covered this semester and evaluate each topic.

Algebra 2H pds 1,2
We went over the topic of multiplying probabilities. This is used when there is more than one event. Events may be independent or dependent.
HW Worksheet # 1-27 odds.
EC problem- There are 3 quarters, 4 dimes, and 5 nickels in a purse. Suppose 3 coins are to be selected without replacement. Find the probability of selecting a quarter followed by a dime followed by a nickel.

Geometry H pds 3,5
We totally reviewed the lesson on ratios of perimeters, areas, and volumes of similar solids.
HW Practice Test # 1-12 ALL
EC problem- Two similar pyramids have volumes of 81 and 24. If the lateral area of the smaller pyramid = 32, find the LA of the larger pyramid. (Please copy this problem if you do it!)

Math Analysis pd 4
We reviewed all of the matrix topics for tomorrow's quiz. These include addition, multiplication, determinants, inverses, and transposes.
QUIZ is tomorrow!!!!
EC problem...Make up your own 4x3 and 3x2 matrices and multiply them together.

Algebra 2H pds 1,2
We learned or relearned about probability and odds of different events occurring.
HW Worksheet #17,20 23,29,31,32, and 40 (pd 1 only)
Pd 2 #1-37 odds.
EC problem - What are the odds of tossing two dice and rolling a 12 (snake eyes)?

Geometry H pds 3,5
We learned how to find the ratio of the perimeters, areas, and volumes of similar solids.
HW Worksheet # 1-11 all
EC problem--Two similar cones have radii of 4 cm and 6 cm. The total area of the smaller cone is 36 pi cm^2. Find the total area of the larger cone.

Math Analysis - pd 4
We are having a quiz on matrices this Friday. Today, a review sheet was given out. All questions on the quiz will be similar to these problems.
HW # 1-16 all
EC problem...Write a few sentences about Cramer, the founder of Cramer's rule.

Week of June 1st

Algebra 2H pds 1,2
In pd 1, we started the unit on probability. Probability is the ratio of successful outcomes to total amount of outcomes possible.
HW Worksheet #15,16,21,22,24,25,28,30.
EC problem #26

Geometry H pds 3,5
Due to the field trip to UCLA, we did an activity lesson on the ratio of perimeters, areas, and volumes of similar rectangles and rectangular solids. We will go over this lesson in more depth tomorrow.
EC problem- If the ratio of the areas of two similar figures is 16:121, find the ratio of their perimeters and ratio of their volumes.

Math Analysis- pd 4
We learned how to solve 3-variable equations using determinants (Cramer's Rule).
HW Worksheet # 1,3,5 (Only find the determinant for these) and # 9,11, and 13. Remember that if the determinant is 0, there is no unique (one) solution!
EC problem #17 (One of the answers is a fraction.) Two points if done correctly!

Algebra 2H pds 1,2
We had the quiz on permutations and combinations, as well as the counting principle.
No hw over the long weekend.
EC Problem- A bag contains 4 red, 6 white, and 9 blue marbles. How many ways can 5 marbles be selected so that 2 are red, 2 are white, and 1 is blue?

Geometry H pds 3,5
After admiring the Solids projects, we finished the lesson on Spheres. We went over problems involving a plane intersecting a sphere and cutting out a circle for the intersection.
HW Same worksheet as last night # 10-14 all.

EC problem..Find the area of the circle formed when a plane passes 7 cm from the center of a sphere with radius 8 cm.

Math Analysis pd 4
We learned how to find the inverse of a 3x3 matrix. There are actually 4 steps including finding the determinant of the original matrix. All steps should be in your notes.
HW Worksheet #32,36,38,39, and 41.
EC problem (worth 2 points) # 42

Algebra 2H pds 1,2
We learned about Combination problems-these are the ones in which the order of the elements chosen do NOT matter. The formula is: C(n,r)= n!/((n-r)!r!).
HW Worksheet # 1-10 all
Also, there will be a short quiz tomorrow on the Counting Principle, Linear Permutations, Circular Permutations, and Combinations.

EC problem...How many baseball teams of 9 members can be formed from 14 players?

Geometry H pds 3,5
After going over the hw on Cones, we learned the formulas for the area and volume of a sphere. Spheres do NOT have Lateral Area.
HW Worksheet # 1-9 all
EC problem #14.

Math Analysis pd 4
We learned how to find the inverse of a 2x2 matrix. You can use 2 variable equations to solve for each number, or you can learn the formula, which is:
1/determinant times (d -b)
(-c a).
HW Worksheet 3 7,8, 12-15 all, 29, and 33. Check #15,29, and 33.
EC problem #34-Check your answer as shown during class.

Week of May 25th

Algebra 2H pds 1,2
We learned about circular permutations-The formula is (n-1)!. Divide by 2 if the objects are reflective, like charms on a bracelet or keys.
HW Worksheet # 11-33 odds
EC problem #24,28

Geometry H pds 3,5
Remember the Solids Project is due on Thursday.
We solved problems involving the LA, TA, and Volume of a Cone.
HW Worksheet (back) # 8,9,10,11,14,15. Also, finish any problems from Monday's worksheet.
EC problem #12

Math Analysis pd 4
We learned two methods of finding determinants of a 3x3 matrix. We also reviewed the easy formula for finding the determinant of a 2x2 matrix.
HW Worksheet on Determinants #2,6,10,14,18,22. Solve #14 by minors, #18 by the diagonal method, and #22 by either method.
Also, finish the even numbered problems from Monday's worksheet on Operations of Matrices.
EC problem #24 on today's hw worksheet (any method).

Algebra 2H pds 1,2
Although students were absent due to the CST testing, we went over the hw paper on permutations. All problems through # 31 and #33 were done during class.
No hw due to the testing.
EC problem...How many ways can 9 members of a family be seated in a theatre if the mother is seated on the aisle?

Geometry H pds 3,5
The new projects on Solids was given out today. All solids are due next Thursday, May27th. We also went over the formulas for LA, TA, and Volume of Pyramids.
HW Finish the worksheet # 9,10.

EC problem- Find the LA,TA, and Volume of a regular triangular pyramid with base edges of 12 cm and height of pyramid = 8 cm.

Math Analysis pd 4
We went over the hw problems on Operations with Matrices, and then began the lesson on finding the determinant of a Square Matrix. We will continue with this lesson on Tuesday.
HW # 40-56 evens on the hw worksheet from Thursday's lesson.
EC Find the signed minors of the first row of the following matrix: [3,2, -2
4,1,-4
1,-4,8]
Then work out the calculations to find the determinant of this matrix.

Geometry H pds 3,5
We started learning about the parts of a pyramid. You must understand the meaning of height, slant height, and lateral edge, as well as base edge.
HW -worksheet # 1-4 all-
EC problem...Draw a regular square pyramid. If the slant height = 13 cm and base edge = 10 cm, find the height of the pyramid and the lateral edge.

Math Analysis pd 4
We started the unit on matrices today. We learned about dimensions, addition, multiplication with a scalar, and multiplication of 2 matrices.
HW Worksheet # 13-55 odds.
EC problems # 48,56

CST Week-May 17th-21

To All of My Classes,

I hope you will all strive to achieve proficient or advanced on the Math CST. You will greatly increase your chances for this achievement if you review and understand ALL of the CST released questions. I have gone over most or all of them during class throughout the past week.
GOOD LUCK!!!!

Extra credit will resume on Thursday, May 20th.

Algebra 2H pds 1,2
After the short quiz on CST review problems, we finished our review of released test questions for the CST.
All problems are to be completed by Monday.
EC problem...A state wants to create new license plates. It is to consist of 4 different letters (not I or O) followed by 2 numbers (0-9)-no repeats. How many different license plates are possible?

Geometry H pds 3,5
We are almost finished reviewing ALL of the released questions for the CST Geometry Test. If you go through these problems with understanding, then you should get ADVANCED or proficient on the geometry CST.
Finish #40-48 for Monday. I will check for completeness of all review sheets.
EC problem-If each point of a triangle is moved 2 units to the right and 3 units down, what will the new coordinates be?
Points of the triangle are A(3,-2), B(-1,5) and C(4,2).

Math Analysis- pd 4
We thoroughly went over the Practice Quiz. The real quiz will be on Monday. If you know everything on the practice quiz, then you should get 100% on the real quiz!
HW Study and do the CST practice problems(Answers were given out in today's class.).
EC problem....What is the current population in North Dakota? Cite your reference source. Also, find K if 200 bacteria grow to 2000 bacteria in 12 hours.

Algebra 2H pds 1,2
We are working on the mini test for the CST review.
Finish all problems from theCST review sheets for tomorrow.
There will be a short quiz tomorrow-topics include:logs, probability, infinite geometric series, and f(g(x)).
EC problem....If log5 = .699 and log2= .301, fin log 40.

Geometry H pds 3,5
We have finished going over the Mini Test and other packet of geometry review for the CST. Tomorrow, I will go over the release questions from 2008.
No hw.
EC problem...A square is inscribed in a circle.
What is the ratio of the area of the circle to the area of the square?

Math Analysis- pd 4
We are working on a Practice Test for the Test on Interest, Growth, and Decay.
HW Finish the practice test. Try the CST review questions (Page 1) on algebra.
The next quiz will be on MOnday.

EC problem....Find K if the half-life of an element is 14.2 hours. Start with 100 grams. How much will remain after 20 hours?

Algebra 2H pds 1,2
We are still reviewing for the CST test next week. The goal is for everyone ot score Proficient or Advanced!!!
HW Mini test # 1-12 pd 1
#1-20 pd 2
pd 1 will have a quiz tomorrow.

Geometry H pds 3,5
We are still reviewing CST practice questions for the Geometry CST test next Wednesday. The goal is to score Proficient of Advanced!!!!
HW Mini- Test finish # 19-33 all
Guess if you're not sure.
EC problem-Find the smallest interior angle of a hexagon with angles 2x,6x,4x-10,
2x-16, and 6x+6.

Trig/Math Analysis pd 4
We reviewed the CST questions from the packet given out yesterday. All problems were done during today's class. More problems will be given out tomorrow.
No hw tonight!

Algebra 2H pds 1,2
After the short quiz on complex numbers, quadratic formula, and vertex of a parabola, we reviewed more CST problems. These were mostly on lagartihms and exponential equations. We also learned about probability.
HW -Finish the CST problems on the worksheet.
EC question-How many ways can six different books be placed on a shelf?

Geometry H pds 3,5
We are reviewing for the CST this whole week. Today, we went over all of the problems in the first packet.
HW Mini Test packet # 1-18 all
EC question-Explain by arriving at a contradiction why a triangle can only contain one right angle.

Math Analysis- We are reviewing previous CST questions this week. Today, we finished going over the Algebra Two problems.
HW Geometry CST questions-Do the whole packet!
Good luck on the English AP test tomorrow!!!
EC question- Find the standard deviation for 1,4,11,7, and 2.

Week of May 10th

Algebra 2H pds 1,2

Tomorrow, there will a SHORT quiz on the quadratic formula, complex numbers, and parabola (finding the vertex). We covered CST review questions during class.
HW worksheet CST #25-32 all
EC problem- Find the equation of the asymptotes for the hyperbola (y/4)^2 -(x/3)^2=1.

Geometry H pds 3,5
We reviewed the hw on cylinders as well as CST review problems #1-9.
HW CST review problems # 10-25 all. Take a guess if you're not sure of the answer.
EC problem-A cylinder has a volume of 432pi square meters. If its height is 3 meters, find the radius and LA of the cylinder.

Math Analysis- pd 4
We went over many CST review problems from both algebra one and two.
HW Finish the worksheet gien out at the end of today's class.
HOpefully, there will be a quiz on Exponential Functions involving growth, decay, and compound/continuous interest problems.
EC-Compare the amount of money you will earn on a $200 investment compounded quarterly at 5% for 15 years vs the same investment compounded continuously for the same rate and time.

Algebra 2H pds 1,2
We learned how to work out standard deviation problem (just one was explained in class).
HW CST review # 12-22 all
EC problem- Find the standard deviation for the set of numbers 2,2,8,14,6,4.

Geometry H pds 3,5
We went over the LA, TA, and Volume of trapezoidal and hexagonal prisms. We also reviewed the cylinder problems.
HW Worksheet on Cylinder # 1-7,13
CST review- Do all problems on the first page (front side only).
EC problem..Find LA,TA, and Volume of a hexagonal prism (regular) with sides of 10cm and height 3 cm.

Algebra 2H pds 1,2
After going over the hw problems on the binomial expansion, we had a short quiz on this topic.
HW- CST Review problems # 1-11 ALL
EC problem- Find the 12th term of (4x+y)^14

Geometry H pds 3,5
After going over the problems on LA, TA, and Volume of prisms, we learned the formulas for LA, TA and Volume of Cylinders, which are similar to prisms.
HW Worksheet # 1-8 all
EC problem-A manufacturer needs to decide which container to use for packaging a product. One container (cylinder) is twice as wide as another, but only half as tall. Which container holds more, or do they hold the same amount? (Hint- Choose numbers like 4 and 8 for radius and height and compare the volumes of the two containers.)

Math Analysis pd 4
We have now gone over problems on Growth and Decay, as well as Compound and Continuous Interest. All of you are responsible for knowing how to solve any problems solved during class time.
NO written hw tonight due to the AP Exam tomorrow. However, you should be reviewing the problems worked out during the past week. There will be a quiz next week.

EC problem...Radium-226 decomposes radioactively. Its half-life is 1800 years. Find the constant K for the decay formula (Y=ne^kt). If you start with 100 grams of Radium-226, how much will be left after 250 years?

Algebra 2H pds 1,2
We reviewed the Binomial Expansion plus learned how to find a specific term in a binomial expansion.
HW pd 1 pages 648-649 #11,17,45,47,49, and 51.
pd 2 pages 648-649 #7,45,47,49, and 51.
EC problem #46

Geometry H pds 3,5
We started the unit on Soldis. Today, we learned the formulas for lateral area, total area, and volume of a rectangular prism.
HW worksheet # 7,8
EC question - Draw a triangular prism with the two bases as equilateral triangles. If the side of the equilateral triangle = 8 cm and the height of the prism is 10 cm.,
find the LA, TA, and Volume of this prism. If done correctly, I will count this double!

Math Analysis pd 4
We are finishing up the work on Compound and Continuous Interest. It is required that a scientific calculator be used for these problems.
HW Finish page 20 (worksheet) and textbook page 225-226 #28,29,31, and 35.
EC problem #32.

Algebra 2H pds 1,2
We learned Binomial Expansions. One way to expand binomials is by using Pascal's Triangle, and the other way (the mathematical way) is by using binomial coefficients with factorials. 6!= 6x5x4x3x2x1.
HW pd 1 page 648 # 1-5 all
pd 2 page 648 # 3,5,9,11, and 17.
EC problem #10

Geometry H pds 3,5
Today was the quiz on the Segments of a Circle.
Tomorrow will begin the unit on Solids.
EC problem-Sketch a cylinder and cone. Label their heights.

Math Analysis pd 4
We learned that if you are willing and able to wait 500 years, a $1 investment will become a LOT of money!!!!

HW finish page 9 #10,11 and hw page 20 # 8,9
EC-For continuous interest, how much money will your future great-grandchild have if you invest $1500 at 6% interest for 150 years?

Week of May 3rd

Algebra 2H pds 1,2
Today was the quiz on Geometric Sequences and Series, Infinite Series, and Sigma Notation.
EC problem... Change 0.788888.... to a fraction. Try to change 0.7686868...to a fraction.

Geometry H pds 3,5
Tomorrow is the quiz on the Segments of a Circle. Students in class today reviewed each type of problem. The quiz has 11 problems. Factoring is necessary for several of the problems. So, review all worksheets we've done for the past week!
EC problem....Factor and solve x^2 -10x + 24 =0
x^2 -10x - 24 = 0.

Math Analysis- pd 4
We went over the growth and decay problems from the worksheets. We barely started the Compound Interest Formula.
HW Worksheet -Please read the information on the front side.
HW- Do # 8 all parts on page 9.
EC problem - How long will it take to double a $1000 investment at 5% interest compounded quarterly?

Algebra 2H pds 1,2
We reviewed the problems for the quiz on Monday. Topics are geometric sequences and series, infinite geometric series, and sigma notation. All questions will be similar to the review sheet. There is a pendulum question so review that.
EC problem- Find the sum of 6 + 2 + 2/3 + ...

Geometry H pds 3,5
We are reviewing for the quiz on Tuesday (Segments of a Circle).
CW worksheet should be completed by Monday.
EC problem- Draw a circle with 2 secants intersecting outside the circle.
If the interior segment of 1 secant = 2cm and the exterior segment of the same secant = 4cm, and the interior segment of the other secant = 3cm, find the measure of the exterior segment of this secant.

Math Analysis pd 4
We went over the growth problems for exponential growth. Topics were bacteria and population growth.
HW worksheet pages 18-19 # 3-7 all
EC problem Worksheet page 6 #2 (Please use a separate sheet of paper for this problem. Thanks!)

Algebra 2H pds 1,2
We are currently reviewing for the next quiz, which will be on Monday.
The topics are geometric sequences and series, infinite geometric series, and sigma notation.
HW Review Sheet # 13-22 all (pd 1)
# 13-22 all and # 11-13 (pd 2)
EC problem- Write the sigma notation for the series 5+13+21+29+37+45+53.

Geometry H pds 3,5
We are reviewing for the next quiz on the Segments of a Circle. The quiz will be on either Monday or Tuesday.
HW Puzzle Worksheet on The Segments of a Circle. Dp all problems.

EC problem- Draw a circle with a secant and a tangent intersecting outside the circle. If the internal segment of the circle = 12 cm and the external segment = 6 cm, find the measure of the tangent. This should be an easy problem!

Math Analysis pd 4
After going over the quiz problems, we started the unit on Exponential Growth and Decay. We started with a bacterial growth problem.
HW pages 17-18 (worksheets) # 1 and 2 all parts.
EC problem-Solve the equation 4e^(2x+6) = 24

Algebra 2H pds 1,2
After going over the problems on Infinite Geometric Sums, we learned about Sigma Notation. The sigma sign is used for both arithmetic and geometric series.
HW Worksheet # 9-29 odds.
EC problem #24

Geometry H pds 3,5
After going over the quiz, we began the lesson on the Segments of a Circle. Two new theorems were explained. We will learn the third one in more detail tomorrow.
HW Worksheet # 1,2,6,7,8, and 9.
EC problem Draw a circle with two intersecting chords. Call one chord AB and the other chord CD. They intersect at point P.
If AP = 5, BP = 4, and CD = 12, find CP.

Math Analysis pd 4
Because of today's field trip, no new material was introduced. Students played board games and Hangman.
Class will resume tomorrow!

Algebra 2H pds 1,2
We learned the formula for finding infinite sums of geometric series.
HW Worksheet # 1,5,9,13 (1st pd),17,21,25,29,31,35 (1st pd), and 39.
# 42,44 (2nd pd)
EC problem Find the fraction equivalent for 0.727272...

Geometry H pds 3,5
Today was the quiz on the Angles of a Circle.
No hw tonight.
EC question-review problem from SOHCAHTOA. A ladder leans against a building that is 55 meters tall. The ladder makes a 62º angle with the ground. Find the length of the ladder.

Math Analysis pd 4
Today was the quiz on exponential and logarithmic functions.
No hw. Have fun at the College Fair tomorrow!
EC- Why do so few of you do the extra credits on this weblog?

Week of April 26th

Algebra 2H pds 1,2
After going over the hw problems on geometric sequences, we learned how to find the sum of a geometric sequence (called series). The formula was given in today's notes.
HW Textbook page640-641 #17-24, 27.
EC problem- find the sum of the first 5 terms of a geometric series in which a1 =243,
and r= -3/5.

Geometry H pds 3,5
Tomorrow is the quiz on the angles of a circle. Make sure you understand the formulas for each type of angle. quick DRaw will be collected tomorrow.
STUDY!!!
EC problem- A regular pentagon is inscribed in a circle. Find the measure of each angle of the pentagon and each arc measure.

Math Analysis- We are having a quiz tomorrow on the exponential and logarithm equations. In other words, you should know how to do all of the problems from the worksheets. Calculators should only be used on the equations involving logs.

EC problem Solve for x- log (x -1) + log (x+2) = 0.

Algebra 2H pds 1,2
Today, we learned about geometric sequences and geometric means.
There is one formula for the nth term of a geometric sequence.
HW worksheet #7,11,15,19,23,27,31,33,35 (pd 1) 37, 39 (pd 2)

EC problem- Find the missing geometric means for ___,___, 25, ___,___,___,___,32/125.


Geometry H pds 3,5
The next quiz on the angles of a circle will be on Tuesday.
A review worksheet was given out during class. ALL problems #1-21 are to be finished by the beginning of Monday's class.
EC problem-A quadrilateral CIRCUMSCRIBED about a circle has angles of 80º,90º,94º, and 96º. Find the measures of the four nonoverlapping arcs determined by the points of tangency.

Math Analysis pd 4
We reviewed log equations and exponential equations. We also went over the laws for logarithms.
HW Worksheets pages 16-17 # 37-58 all
EC problem- Solve the equation: log x + log(x+21) = 2.

Algebra 2H pds 1,2
Today was the quiz on Arithmetic Sequences and Series.
Bring scientific calculators to class tomorrow (2 points).
EC Find the sum of the series -4 + 1 + 6 + ... + 56.

Geometry H pds 3,5
We learned how to find the measurements of angles formed by 2 secants, 2 tangents, or a secant and tangent (Subtract the arcs and divide by 2). We also learned that to find the measurement of the angle formed by 2 chords INSIDE the circle you ADD the arcs and then divide by 2.
A CW worksheet was mostly completed during class.
HW Worksheet # 1-19 all (Two questions are the same!)

EC problem- Draw a circle with an angle formed by 2 intersecting tangents. If the measure of this angle = 82º, what are the measures of BOTH arcs that it intercepts?

Math Analysis pd 4
Today, we learned that e = 2.718281828...it is derived from a special expression (1 + 1/x)^x.
HW Finish # 29-36 on the CW worksheet.
EC problem- Graph y= e^x and y = ln e on the same graph.

Algebra 2H pds 1,2
Tomorrow is the quiz on Arithmetic Sequences and Series. the formulas will be on the quiz paper. All you have to do is know how to use them!
HW Finish the review sheet given out in today's class.
EC-Explain in your own words the difference between an arithmetic sequence and series.

Geometry H pds 3,5
Today was the quiz on Circles involving inscribed angles, chords, and arcs.
EC problem...If x + y + z = xy, what is the value of z? (Each number is a positve integer between 0 and 9.)

Math Analysis pd 4
We started the unit on Exponential Functions today. We also relearned how to write equations in exponential and logarithmic form. Remember that a logarithm is an exponent.
HW Worksheet # 16-36 all (front side only)
EC problem...Graph y=4^x and y= (1/4)^x on the same graph. What point do they share in common?

Algebra 2H pds 1,2
We reviewed the lesson on Arithmetic Series. There will be a quiz on Thursday.
HW Same worksheet #2,6,10,14,18,22,26,30,34,36 (pd 2) and 39 (pd 1).
EC problem #31

Geometry H pds 3,5
We reviewed the material on Circles for tomorrow's quiz.
HW Review Sheet-Finish all problems not completed in class.
Study for the quiz (especially yesterday's worksheet).

EC problem-Molly and Maggie are Martha's mother's son's wife's daughters. What relation is Martha to Molly and Maggie?

Math Analysis- pd 4
Quiz on Rational Function Graphing was today.
Make sure you have last night's hw done for tomorrow's class.

EC- Evaluate your performance on today's quiz. What were your strengths and weaknesses?

Week of April 19th

Algebra 2H pds 1,2
We learned how to solve problems involving arithmetic series. This is adding the terms of an arithmetic sequence.
The formulas were given out in today's class.
HW Worksheet # 1,5,9,13,17,21,25,29,33,35(pd 1),37, and 40 (pd 2).
EC problems #10,39.

Geometry H pds 3,5
The next quiz is on Wednesday. Today, after going over the hw problems and learning that an angle formed by a tangent and chord = 1/2 of its intercepted arc,students received a Practice Test. It must be finished by the beginning of tomorrow's class.

EC problem-Inscribe quadrilateral ABCD in circle O. If angle A = 72º and angle B = 104º, and arc CD = 100º, find angle C, angle D, and Arcs BC, AD, and AB.

Math Analysis pd 4
Tomorrow is the quiz on Graphing Rational Functions. You will be allowed to use graphing calculators for the quiz. You must know how to find the asymptotes on your own for the most part.
HW Practice 1) f(x) = (x^2 -2x -2)/(x-1)
2) f(x) = x/(x^2 - 1)
EC-Write out the rules for VA, HA, and OA in your own words.

Algebra 2H pds 1,2
We learned about arithmetic sequences today. There is a formula for finding the nth term of an arithmetic sequence. It should be on the hw worksheet.
HW Worksheet # 23,29,35,37,41,45,47,48,50,51, and 52.

EC problems #33,43,56

Geometry H pds 3,5
We continued to learn about the circle and its parts. Today, we learned that the measure of an inscribed angle = 1/2 the measure of its intercepted arc.

HW Worksheet # 1-6 all. Some problems were not covered in class today, but most of them were covered.

EC problem-Inscribe a triangle in a circle. Two of its angles are 60º and 65º. Find the measure of the third angle and all of the intercepted arcs.

Math Analysis pd 4
We learned that a parabola could be the asymptote for a rational function. The highest degree of the numerator must be 2 more than the highest degree of the denominator. The quiz on this topic will be on Tuesday.
HW textbook page 158 # 45,46,47, and 48. Calculators may be used.
EC problem #50

Algebra 2H pds 1,2
Today was the test on ellipses, hyperbolas, and equations. Hopefully, all of you did fine.
EC problem- solve the system: x^2 - y^2 =9
x^2 + 9y^2 = 169



Geometry H pds 3,5
We learned a 3-part lesson on Arcs and Chords of a Circle. A cw worksheet was completed during class. Examples of all types of problems were explained and done by the class.
HW Worksheet - Do ALL problems. Some are review from the previous lesson.

EC problem... Sketch a circle O with radius 10 cm and chord XY 8 cm long. How far is the chord from O?

Math Analysis pd 4
We used the graphing calculator (table feature) to graph rational functions.
HW # 12 b and c.
EC problem- Sketch the graph of y= (x^2 +5x +8)/(x+3)

Algebra 2H pds 1,2
Tomorrow is the quiz on Ellipses, Hyperbolas, and Equations related to the conic sections.
Bring calculators to class for the square roots, and bring your Quick Draw and Review Sheet papers. These will be collected. And, PLEASE STUDY!!!!
EC Question- How will you prepare for tomorrow's quiz? Write at least 4 sentences.

Geometry H pds 3,5
Today was the District Quarterly Test-hopefully, all of you did well on it!
No hw tonight!!!
EC question- How do you think you did on today's test? Which parts were easy for you? Which parts were difficult for you?

Math Analysis pd 4
We learned about slant asymptotes-these occur in rational functions that are top heavy (higher power in the numerator).
HW Finish the graph of the cw problem, and graph #1,2 on the cw worksheet. Include slant and vertical asymptotes.
EC problem-Graph f(x) =(x^2 - 9)/(x-3) Indicate the hole in the graph.

Algebra 2H pds 1,2
The quiz on ellipses, hyperbolas, and equations will be on Thursday.
HW Review Worksheet- Do all 12 problems....This worksheet will be collected the day of the quiz.
EC problems....page 608 #20,22

Geometry H pds 3,5
We reviewed for the District Quarterly Test. This important test will be given tomorrow. Please get a good night's sleep, and bring a pencil for the test.
EC problem.. A box has a length of 9 cm, width of 4 cm, and height of 12 cm. Find the surface area of this box.

Math Analysis pd 4
We continued graphing rational functions and reviewing the formulas for the asymptotes, as well as the x and y intercepts. If factors in the numerator and denominator are the same and cancel out, there will be a hole in the graph.
HW Finish the problems (e-i) from last night's hw. I expect you to actually have graphs tomorrow!
EC problem- Graph y= (x^2 - 9)/(x-3). Show the hole in the graph.

Week of April 12th

Algebra 2H pds 1,2
The next should be on Thursday. It will cover ellipses, hyperbolas, and solving equations related to the conic sections (circle, hyperbola, ellipse, and parabola).
HW pages 607-608 #9,13,15,21,23,26, and 27.
EC problem #28.

Geometry H pds 3,5
The District Quarterly Test will be given this Wednesday. We will be reviewing for it in tomorrow's quiz.
There will a quiz on the Circles material this Friday.
No ec tonight!

Math Analysis pd 4
We began the graphing of Rational Functions. The graphs should include vertical and horizontal asymptotes and have branches that approach the asymptotes.
HW Worksheet # 11 a,b,c, and d (front side of worksheet).
EC problem- textbook page 157 # 30.

Algebra 2H pds 1,2
We learned how to graph hyperbolas that have centers at (h,k) rather than the origin. We also completed the square to find the equation of the hyperbola in standard form.
HW Worksheet # 1-6 all
EC problem textbook page 599 #38

Geometry H pds 3,5
We learned about internal and external tangents. Circles are internally or externally tangent to each other, and a line can be internally or externally tangent to 2 circles.
HW Worksheet- Do ALL problems.
Ninth graders- Have a fun field trip on Monday!
Tenth graders- We'll go over logarithms! Bring your questions.
EC problem---If you wrote down all the numbers from 5 to 83, how many times would you write the number 4?

Math Analysis- pd 4
Today was the quiz on solving polynomial functions to the 4th and 5th degrees.
NO hw this weekend! Enjoy yourselves...
EC- How do you think you did on today's quiz? Write at least 4 sentences.

Algebra 2H pds 1,2
We learned about the hyperbola and its properties.
HW pages 599-600 #11,15,19,21, and 22.
EC problem #20

Geometry H pds 3,5
We learned about Central Angles, Major and Minor ARc, and Semicircles.
HW Worksheet- Do ALL problems.
EC problem-Draw a circle and inscribe a quadrilateral. Measure all 4 angles. What is their sum? What is the sum of the opposite angles?

Math Analysis pd 4
Tomorrow is a quiz on Solving Polynomial Functions of the 4th and 5th degrees. Also, you will solve a polynomial function in which an imaginary root is given.
No hw other than BE PREPARED!!!!!
EC- Solve x^4 + x^3 -13x^2 -25x - 12.

Algebra 2H pds 1,2
We learned how to complete the square in order to find the center of an ellipse which is not located at the origin (0,0). We also reviewed the basic formulas for finding the foci and major/minor axis length.
HW -Same worksheet as last night # 7,9,14,19,25,35,40,45,46,47 (pd 2 only), and 48(pd 1 only).
EC Find real-life examples (on the internet) of ellipses used for a real-life situation.
or worksheet #49.

Geometry H pds 3,5
After going over the hw problems, we learned about tangents. Tangents are perpendicular to the radius at the point of tangency, and tangents to a circle from the same point are congruent.
HW Same worksheet as last night - Finish ALL problems not assigned last night.

EC problem - Inscribe a right triangle in a circle. Where is the center of the circle? If the legs of the right triangle are 8 and 15, find the length of the radius of the circle.

Math Analysis pd 4
We learned how to solve polynomial equations which do not have rational roots. You have to be given that one of the roots is an imaginary or complex number in order to get started.
HW textbook page 141 # 25,26,45,47, and 50.

EC problem # Solve f(x) = x^5 - 5x^4 + 8x^3 -8x^2 + 16x -16.