#6.2 Exterior Angles of a Polygon

Aim 1: to use the exterior angle theorem to solve the measures of missing angles

• (1-18) all

PH #3.4 (PH stands for Prentice Hall---the pink book)

• (47-49) all
• 54
• 58
• (64-73) all

#4.7 Geometric Probability

Aim 1: to determine the geometric probaility of an event

• (5-17) all

#6.1 Polygon Sum conjecture

Aim 1: to calculate the sum of the angles of a polygon

• (1-19) all

#4.6 continued

• fold your paper in half horizontally
• you should have 2 boxes on the front and 2 boxes on the back
• Given triangle JEN, where J (5, 7), E (-4, -2), N (-3, 1)
  
  1. locate the centroid

2. locate the circumcenter

3. locate the orthocenter

4. write the equation of the Euler Line

Remember to highlight your final answers!

P. S. Danny, don't forget the power cord!!!!!!

#4.6 AGAIN!!!!

• complete whatever problems you didn't do now that you know how to do them since I demonstrated a couple of the problems in class today.
• Find the coordinates of the centroid, circumcenter, and orthocenter of triangle CHN if C(3, 4), H(-3, 1) and N(-4, -4). Then find the equation of the Euler Line.

#4.6 Finding intersections of Lines

Aim: to find the intersection of two lines (solving systems of eqns)

• (1-11) all
• (13-14) all

Reminder:

• don't forget to practice for your construction test on Monday!
• Jen (3rd hour TA) nor Will (4th hour TA) will pass out the Construction Tests until your desks are cleared of everything but a pencil, highlighter, compass and straightedge, (colored pencils are optional) AND it is SILENT. Then, and only then, will the tests be handed out.
• each class will have until 5 mins. before the bell to complete the test.
• if you should finish early, hand in your test and finish the HW assignment listed above.
• do NOT erase any arc marks on your test!
• the highlighter is for emphasizing a particular angle or figure should there be any ambiguity

Have a PG-13 weekend!

#4.5 Writing Equations of Lines

Aim: to write equations of lines

• (1, 2, 5-8)
• (9-11)
• (13)
• (15 - 34) all

We would like to thank Algebra and Geometry for inviting us to their wedding. We wish them nothing but love and matrimonial bliss for eternity!

I will offer 3 extra credit points to the FIRST student who answers AND thoroughly explains a problem correctly! The maximum # of extra credit points you can earn is 3 points. That means, once you've received extra credit for a problem, you can't do another one to get 6 extra credit points.

Also, once the problem has been confirmed (by me) that it has been correctly solved and explained, it is no longer eligible for extra credit. For example, if #30 has already been posted by someone, but you don't agree with his/her answer, post your solution/explanation. The first person may be wrong. Again, you won't know until I confirm. Please make sure your posts contain:

• the question:
• For example, #30, find the equation of the line containing median WO if W(0,0) H(8, 3) and Y(2, 9)
• your last name and period
• correct answer
• explanation

There are 34 questions in all and 53 students in all. That means all but 19 of you can receive extra credit. Don't procrastinate! The early bird gets the worm! Get your extra credit NOW! Good Luck!

P.S. don't forget that your center of mass triangle on cardstock with string is due tomorrow!!!!

#4.3 Midpoint and Slope Conjectures

Aim 1: to find the midpoint between two coordinate points
Aim 2: to determine the slope of a line

• (1-11) all
• (12-18) even
• (19)
• (23-27) all
• (29)
• (31-32) all
• (35-39) all

#4.4 Slopes of Parallel and Perpendicular Lines

Aim 1: to know and use the slopes of parallel lines to solve problems

Aim 2: to know and use the slopes of perpendicular lines to solve problems

• (2-14) even
• (15-16)
• (18-19) all

You MUST post an answer AND explanation for credit!

Be sure to identify yourself by last name and which period you're in! Also, please label which section and problem # you are doing. For example, #4.4, #18:

There are 43 problems in all and 53 students between my 2 classes. For the ten of you who aren't able to post an answer, you will have make up your own problem and solution.

#4.1 Discovering Angle Properties

Aim: to use knowledge of vertical angles and linear pairs of angles to find the measurements of missing angles

• (1-16) all

#4.2 Discovering Properties of parallel Lines

Aim 1: to use the properties of parallel lines to find the measurements of missing angles

Aim 2: to construct parallel lines using the AIA or AEA method

• I.4.2.3
• (1-9, 13-16, 18-20)

Mack Daddy Construction again

• since only oneperson in my third hour got this right, I am reassigning this construction. Remember, 3 of your 4 centers will be collinear. Your job is to tellme which one is NOT collinear with the other three.

#3.8 The Centroid

Aim: to use knowledge of the centroid to solve problems

• (1-11) omit 7-9

Find the Center of Gravity Activity (due Friday, Sept. 21, 2007):

• Use a sheet of cardboard paper or cardstock
• draw a medium-large scalene triangle
• construct the centroid of the triangle
• cut out your triangle after you locate the centroid
• poke a tiny hole through the centroid
• pull a piece of string or yarn through the hole
• pull the string taut
• your triangle should hang parallel to the floor

#3.7

Aim: to use knowledge of incenter and circumcenter to solve problems

• (1-13) omit #6

Mack Daddy Construction

Aim: to use knowledge of constructions to discover which 3 centers (incenter, circumcenter, orthocenter, centroid) are collinear

• draw a medium-large acute scalene triangle
• construct the incenter (I recommend highlighting this incenter with a particular color, say pink, for instance.)
• construct the circumcenter (I recommend highlighting the circumcenter with a different color than the incenter, perhaps blue.)
• construct the orthocenter (I recommend highlighting the orthocenter with different colors than the incenter and circumcenter, green anyone?).
• construct the centroid (I recommend highlighting the centroid with a fourth and final color than you used for the first 3. How about yellow?).
• 3 out of the 4 centers will be collinear. If you use highlighters as I suggested, then 3 of your colors should line up.
• Your mission, should you choose to accept it (not like you actually have a choice though if you want pass Ch. 3), is to tell me which 3 centers are collinear.
• You might have to do this mack daddy construction several times. that's okay. Practice makes more perfect constructions anyway.
• Some of the best of all time (Mary, Mary, quite contrary) had to do it 6 times before she was able to discern which 3 centers are collinear.
• And IF, by some strange reason, you should have some extra time to practice, I would strongly advise that you practice inscribing a circle in an obtuse triangle AND circumscribing a circle about an obtuse triangle!

#3.7 Points of Concurrency

Aim 1: to construct the 3 angle bisectors of a triangle (incenter)
Aim 2: to construct the 3 perpendicular bisectors of a triangle (circumcenter)
Aim 3: to construct the 3 altitudes of a triangle (orthocenter)
Aim 4: to construct the 3 medians of a triangle (centroid)

• You are to construct the 3 angle bisectors of an acute triangle.
• then construct the 3 angle bisectors of an obtuse triangle.
• then construct the 3 angle bisectors of a right triangle.
• Repeat this for Aims 2, 3, and 4 above.
• Be sure you label each triangle. For example: 3 Angle Bisectors of an Acute Triangle.
• You should have 12 total triangles with you on Friday! I would use 6 sheets of paper and do one triangle on each side if i were you.
• Also, finish whatever you didn't finish from last evening's homework assignment!
• For those of you who think you're ready for the Mack Daddy Construction, draw a medium-large acute triangle. Then, construct the incenter, circumcenter, orthocenter, and centroid all in the same triangle. Yes, it will get kind of messy. Color pencils might help. 3 of these centers will be collinear (meaning they will line up in a straight line). Your mission, should you choose to accept it, will be to find which 3 centers are collinear.

#3.5

Aim 1: to construct parallel lines using the equidistand method
Aim 2: to construct parallel lines using the rhombus method

• (6, 8, 9, 10, 11)

#3.6

Aim: to use previous construction strategies to form geometric figures

• (1-9)

#3.4

Aim: to construct an angle bisector

• (1-18) all; omit 17; ignore the directions that say "(Don't actually perform the constructions.) You will describe how to construct the angle in question AND actually perform that construction!
• don't forget to check out the Construction Help link to the right------->
• Chen and Mary will be in the library for tutoring in the morning!!!

#3.2

Aim: to construct the perpendicular bisector of a line segment

• (7-11) all

#3.3

Aim 1: to construct a perpendicular through a point NOT on the line

Aim 2: to construct a perpendicular through a point ON the line

• (1-6) all

Have a PG-13 weekend!

#3.1

Aim 1 : to duplicate a line segment
Aim 2: to duplicate an angle

• (1-3) all
• (6-8) all
• (10)

Parent Letter verifying that (s)he assisted you in preparing for your vocabulary quiz by using the handy dandy flashcards that you created. The following is a sample letter:

Dear Ms. Chan,

This is to verify that (student name) and I did prepare for the vocabulary quiz by using the flashcards that (student name) created. In quizzing (student name), (s)he got 60 out of 61 correct (yes, I want you to grade yourselves and put the grade in this letter).

Sincerely,

Parent Signature

Print Parent Name

Don't forget to review your true/false questions as well! You will have 5 of them on tomorrow's quiz as well as 5 problems similar to last night's homework where you should draw a picture to solve the problem.

#2.9

Aim: to use spatial visualization skills to solve word problems

• (1-16, 23) omit 13

Reminder:

1. don't forget your flash cards!

Index Cards

• make flash cards out of all of your vocabulary words
• this includes the ones from your investigations as well as the bold-faced words, too!
• one side of your index card will have the vocabulary word you wish to define
• the other side of your index card will have the definition
• suggestion: many of my students in the past have typed up the vocabulary words and definitions on a word document instead of writing everything out by hand. Then, they just printed the word document. Then, they cut and pasted onto the index card.
• the index cards are due on Thursday, Sept. 6!
• you will have your first vocabulary quiz on Friday, Sept. 7!

#2.8

Aim: to improve visualization skills

• (12-35) all