Monday, January 31, 2011

Week of January 31st

Algebra 2H pds 1,4
We learned how the vertex of a parabola can be used in maximum and minimum problems.
We went over 3 types of maximum -minimum problems.
HW Worksheet # 11,13,15,17,19, and 24.
EC problem-Find the dimensions and maximum area of a rectangle whose perimeter is 40 cm.

Geometry H pds 2,5
We learned the proof for the Pythagorean Theorem. We also went over many problems involving the Pythagorean Theorem.
HW Textbook page 420 # 1-15 ALL
EC- Write a short report about the life of Pythagoras. If well done, I will count it 5 points!

Trig pd 6
We continued solving equations using the identities.
HW Worksheet 6.2 # 3,7,11,15,19,23,27,37.
EC problem #35

Friday, January 28, 2011

Algebra 2H pds 1,4
Today was the quiz on parabolas-finding the vertex by completing the square and graphing them.
EC puzzle was given out afterwards-it's due Monday before class starts.

Geometry H pds 2,5
Today was the quiz on the geometric mean,radicals, and finding altitudes and legs of a right triangle by using the idea of the geometric mean.
EC puzzle on radicals was given out afterward. It's due on Monday before class starts.

Trig pd 6
We are still learning about trig equations. We went over more complicated trig equations where you have to remember the old identities to solve.
HW Worksheet 6.2 #1,5,9,13,17,21
EC problem #20

Thursday, January 27, 2011

Algebra 2H pds 1,4
Tomorrow is the quiz on parabolas. Questions will be similar to the Quick Draw problems. In addition, you will be asked to graph parabolas.
HW-Be prepared for tomorrow's quiz!
EC problem-Find the vertex of the parabola with equation (5/6)x^2 +20x -22.

Geometry H- pds 2,5
After reading the Valentines, which were very well done, we reviewed the lesson about geometric means and radicals.
There will be a 10 question quiz tomorrow on Lesson 8.1.
HW Review Sheet # 2-32 evens.
EC problem # 31.

Trig pd 6
We continued the lesson on Trig Equations. One new type of equation was explained.
HW Same worksheet #3,7,11,15,21,27,29,35,41,47, and 49.
EC problem #32.

Wednesday, January 26, 2011

Algebra 2H pds 1,4
The graphing calculator papers were collected.
We reviewed the concepts for Friday's quiz:
Finding the vertex by completing the square.
Finding the equation of a parabola when given any 3 points on it, but not the vertex.
Graphing parabolas.
HW Worksheet from 2 days ago:#20,22,34,38,and 40.
EC problem-Find the equation of a parabola with points (-1,12),(1,-2),(2,6).

Geometry H pds 2,5-NOTE***Valentines are due tomorrow!!!! Make sure you are using at least 5 GEOMETRY terms in your poems.
We went over the 2 theorems involving geometric means in similar right triangles.
The altitude is the geometric mean between the segments of the hypotenuse, AND,each leg is the geometric mean between the hypotenuse and the segment of the hypotenuse next to that leg.
HW Same worksheet from last night # 9,10
EC problems textbook page 394 #18,20 ( 1 point for each!)

Trig pd 6
We started the new chapter on Solving Trig Equations-
There is usually more than one solution for each problem.
You need to remember the quadratic formula and factoring trinomials.
HW Worksheet 6.1 #1,5,9,13,17,19,23,25,31,33, and 37.
EC problem # 36.

Tuesday, January 25, 2011

Algebra 2H pds 1,5
Today, we used the graphing calculators to graph parabolas. Hopefully, everyone benefited from seeing the shape of the parabolas on the calculator.
We will go over the hw due today in tomorrow's class.
The calculator graph worksheets will be collected tomorrow.
EC Question-Did the graphing calculator help you to better understand parabolas and their graphs? Explain.

Geometry H pds2,5
We reviewed simplifying radicals and learned about finding the geometric mean in a proportion. We also started the section about 3 similar right triangles. We will continue this lesson tomorrow.
HW Worksheet # 1-9 all
EC problem - Find the geometric mean between 12 and 8.

Trig pd 6
Today was the quiz on Double Angle and Half-Angle Formulas.
No HW.
EC- Evaluate how you think you did on today's quiz. What was easy, and what was difficult for you?

Monday, January 24, 2011

Week of January 24th

Algebra 2H pds 1,4
We are still working on the technique of completing the square to find the vertex of a parabola. We also learned how to find the equation of a parabola when given any 3 points on the parabola (not the vertex).
HW Worksheet # 1-10 all-(omit #8)
EC problem- Find the equation of a parabola containing the points (0,3) (1,1) and
(2,-5).

Geometry H pds 2,5
After reviewing the hw on proportional lengths, we reviewed the concept of radicals. We went over many examples on how to simplify radicals.
HW Worksheet # 1-15 all
EC problem- Simplify 3 x radical 600

Trig pd 6
We reviewed for tomorrow's quiz on the Double Angle and Half-Angle Formulas. Formulas must be memorized for the quiz. All questions will be similar to the review problems.
No ec tonight!

Friday, January 21, 2011

Algebra 2H pds 1,4
We had a short quiz on Graphing Parabolas.
We continued reviewing the steps for finding the vertex of a parabola by completing the square. We also reviewed writing the equation for the graph of a parabola.
HW -Same worksheet as yesterday #16,17,20,23,32-this will be collected on Monday so do a good job!!!
EC problem #21

Geometry H pds 2,5
We went over the lesson called Proportional Lengths. Many examples were done during class.
HW Worksheet -Do ALL problems from # 9-16 all
EC problem textbook page 401 #16 (easy!)

Trigonometry pd 6
We went over the hw problems on the half angle formulas. Next, a review sheet was given out for the Double and Half-Angle problems -Next quiz will be on Tuesday.
HW Do #9,10,11,15,16,17,18,25, and 26.
EC problem #21

Thursday, January 20, 2011

Algebra 2H pds 1,4
We learned another method for finding the vertex of a parabola.
Another parabola equation form is: y = a(x - h)^2 + k.
(h,k) is the vertex.
HW Worksheet #14,15,18,19,25,27,31,33,and 35.
EC problem #42.

Geometry H pds 2,5
Today was the quiz on Similar Triangles. An extra credit puzzle worksheet on similar figures was given out after the quiz. It is due tomorrow before class starts.
EC-Find real life examples of similar figures-Use the Internet.
Bring in for extra credit!

Trig pd 6
We went over the Half-angle formulas for sine and cosine.
HW Worksheet 5.4 # 1,2,5,6,8,9,11,12,15,16,17,18,23,25
EC # 22 and/or #27.

Wednesday, January 19, 2011

Algebra 2H pds 1,4
We learned how to graph parabolas without having to make a table.
Use the a(1,3,5) method after finding the vertex of the parabola.
Everyone needs to have graph paper for class.
HW page 513# 1,3,7,9,15,19
EC problem- Graph y = (1/2)x^2 + 6x - 1

Geometry H pds 2,5
Tomorrow will be a quiz on Similar Triangles. Make sure you review ALL of the worksheets we went over in class, especially the problems on separating the triangles to find the corresponding sides.
HW Worksheet # 1-6 all
EC problem- On the Internet, find real-life examples of similar figures.

Trig pd 6
We reviewed the hw problems on the Double Angle Formulas.
We also went over the formula for tan 2A.
HW Same worksheet #10,12,14,18,19,26,27,32,38,40,45,47.
EC problems # 48,52

Tuesday, January 18, 2011

Week of January 18th

Algebra 2H pds 1,4
We learned that quadratic equations graph into parabolas. Today, we learned that the formula for finding the vertex is x = -b/2a. Then, substitute this answer into the original equation to find y. We also learned about the axis of symmetry.
HW Finish the worksheet started in today's class (# 1-6 only).
EC problem- Graph the parabola for the equation y = 2x^2 -4x - 1. Show all work.

Geometry H pds 2,5
We learned two other methods to prove triangles similar. They are the SAS Similarity and SSS Similarity Theorems.
HW Finish the worksheet started in today's class.
EC problem- Triangle ABC has AB= 12,AC= 9 and BC = 10.5. Triangle NXR has NX = 6, NR = 7, and XR - 8. Show that the two triangles are similar. Name the two triangles by matching corresponding angles. Remember to match little side to little side, middle to middle , and largest to largest.

Trigonometry pd 6
We learned the Double Angle Formulas today.
Sin 2A = 2sinAcosA
Cos 2A = cos^2 A - sin^2 A
Cos 2A = 2 cos^2 A - 1
Cos 2A = 1 - 2sin^2 A
HW Worksheet #1,2,3,5,6,7,9,13,17,23,25,29,31.
EC problems #10,41

Friday, January 14, 2011

Algebra 2H pds 1,4
Today was the quiz on Equations in quadratic Form and the Discriminant.
EC puzzle was given out afterwards. It is due before class on Tuesday.

Another EC for fun: Three dollar bills were exchanged for a certain number of nickels and the same number of dimes. How many nickels were there?

Geometry H pds 2,5
We learned the AA Similarity Postulate and went over many problems using this important postulate.
HW Worksheet # 1-12 all
EC # 13

Trigonometry pd 6
Today was the Quiz on Identities and Sum/Difference Formulas.
EC question-How do you think you did on today's quiz? What was easy for you to answer and what was difficult to answer? Why?

Thursday, January 13, 2011

Algebra 2H pds 1,4
The quiz tomorrow will cover the discriminant, finding equations given the solutions, and solving equations in quadratic form. It will closely resemble the review sheet.
HW- Be prepared for tomorrow's quiz!
EC problem-Solve 2x^(2/3)- 5x^(1/3) - 12 = 0

Geometry H pds 2,5
Today was the quiz on Similar Polygons and Ratios.
Most grades were excellent! Congratulations!!!
HW Puzzle worksheet on Using Ratios to Solve Word Problems- To receive an A on this worksheet, all work must be shown!

EC problem- Draw 2 triangles that are similar. Use a ruler to make sure your corresponding sides are in proportion.

Trig- pd 6
Tomorrow is the quiz on Identities and the Sum and Difference Formulas. You must memorize the formulas for the cosine and sine sums/differences.
HW -Be prepared for tomorrow's quiz-It is 13 questions.

EC-Find the exact value of cos 255ยบ.

Wednesday, January 12, 2011

Algebra 2H pds 1,4
We are reviewing for a quiz on Friday. Topics are the discriminant, and solving equations in quadratic form.
HW Review sheet #25-37 odds and #39-50 all
EC page 502 #30,48

Geometry H pds 2,5
We are having a quiz tomorrow on Similar Polygons and Ratios.
HW Worksheet # 8,9
EC-Two similar quads have a scale factor of 3:8. If the perimeter of the larger quad is 56 cm, find the perimeter of the smaller quad. (Copy this problem and then solve it.)

Trig pd 6- We are having a quiz on Friday covering Identities and Sum/Difference Formulas.
HW Review Worksheet- Do ALL problems.
EC problem- If sin A = 4/5 in Q2 and cos B = -5/13 in Q3, find cos (A+B).

Tuesday, January 11, 2011

Algebra 2H pds 1,4
After reviewing questions on the discriminant, we learned how to find the quadratic equation for 2 complex number solutions. We also learned how to solve equations that are in quadratic form by using the substitution method.
HW page 502 # 1,3,5,9,13,17,21,23,27,31
EC problems # 32,40

Geometry H pds 2,5
We learned how to construct the altitudes for acute and obtuse triangles.
We also continued learning about similar polygons.
HW Worksheet # 15-27 all except # 23
EC problem- Draw 2 isosceles triangles that are similar, and then draw 2 isosceles triangles that are not similar.

Trigonometry pd 6
We continued learning problems related to the sum and difference formulas.
HW worksheet (same as yesterday) #3,8,11,15,25,27,29,35,37,45
EC #38.

Monday, January 10, 2011

Week of January 10th

Algebra 2H pds 1,4
After reviewing the quadratic formula, we learned how to use the discriminant to tell how many and what kind of solutions there are in a quadratic equation in standard form. The discriminant is b^2 - 4ac.
We also learned how to write quadratic and cubic equations when given their solutions.
HW pages 494-495 # 1,3,5,8,15,17,21,23,27,29,39.
EC problems #38,46 (Use factors to solve)


Geometry H pds 2,5
The construction papers on circumscribed and inscribed circles will be collected tomorrow.
Today, we started the unit on Similar Polygons. To be similar, polygons need to have their corresponding angles congruent, and their corresponding sides in proportion. We will finish today's cw worksheet in class tomorrow.
HW Worksheet 2 # 1-15 all

EC problem- Quad ABCD is similar to Quad A'B'C'D'. If A'B' = 28, BC = 15,CD = 27, and B'C' = 20, find the scale factor and AB, C'D', and A'D'. Find the ratio of the perimeters also.

Trig pd 6
After reviewing some identities, we learned the Sum and Difference Formulas.
For example, cos(A+B)= cosAcosB - sinAsinB
cos(A-B)= cosAcosB + sinAsinB.

sin(A+B)= sinAcosB + cosAsinB
sin(A-B)= sinAcosB - cosAsinB
HW worksheet #1,5,7,9,11,13,15,19,21,23,25,43
EC problem #30