Construction Practice

Know how to:

1. locate the circumcenter of a triangle (acute, obtuse, and right)
2. circumscribe a circle about a triangle (acute, obtuse, and right)
3. locate the incenter of a triangle (acute, obtuse, and right)
4. inscribe a circle in a triangle (acute, obtuse, and right)
5. of course, you should know your BASIC constructions like how to duplicate a line segment, duplicate an angle, construct a perpendicular bisector of a segment, angle bisector, equilateral triangle, perpendicular through a point ON or OFF the line, parallel lines using the rhombus method and equidistant method!

KNOW your definitions for a median of a triangle and an altitude of a triangle. If you want to get a head start on Monday's constructions, we will constructing the 3 altitudes and 3 medians of triangles.

kite and trap invest gh.pdf

• complete Investigations 6.3.2 and 6.3.3

5.1 PDF

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• these are the 2 diagrams!

6.1 PDF

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review your vocabulary words! know the definitions for median, altitude, kite, trapezoid, parallelogram, rhombus, rectangle, rhombus!

Construction Practice

• draw a medium sized acute triangle in the middle of your paper. label it LUV. construct the perpendicular bisector of LU, UV, and LV. highlight all 3 perpendicular bisectors. they should ALL intersect at ONE point!
• on the back side of your paper, draw a medium sized triangle in the top half of your paper. label it MTH. construct the angle bisectors of angles M, T, and H. on the bottom half, construct a perpendicular through a point NOT on the line. highlight all 3 angle bisectors! they should all intersect at ONE point!
• make sure you complete these 3 constructions and do so ACCURATELY!!! that means nice, crisp, clean arcs. no smudges. make sure your pencils are sharpened. make sure when you swing the arcs that your compass doesn't move.
  

PH 4.5

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5.2 PDF

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PH 3.3 Triangle Sum / Exterior Angle Theorem

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PH 3.4 Polygon Sum

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6.1 PDF

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review your new index cards!!!! review your old index cards!!!!

know your definitions for median and altitude!!!!

review your constructions!!!!

Construction Practice

1. top half: draw a line segment. label it AB. construct the perpendicular bisector of segment AB.
2. bottom half: draw an angle. label it A. construct the angle bisector of angle A.
3. back of paper: draw a medium sized acute triangle in the middle of your paper. label it triangle ABC. construct the perpendicular bisector segment AB. construct the perpendicular bisector of segment BC. construct the perpendicular bisector of AC.
4. front side of 2nd paper: draw a medium sized OBTUSE triangle in the middle of your paper. label it triangle ABC (make angle A the obtuse angle). construct the perpendicular bisector segment AB. construct the perpendicular bisector of segment BC. construct the perpendicular bisector of AC.
5. back of paper: draw a medium sized acute triangle in the middle of your paper. label it triangle ABC. construct the angle bisector of angle A. construct the angle bisector of anlge B. construct the angle bisector of angle C.
6. front side of 3rd paper: draw a medium sized OBTUSE triangle in the middle of your paper. label it triangle ABC (make angle A the obtuse angle). construct the angle bisector of angle A. construct the angle bisector of anlge B. construct the angle bisector of angle C.
7. back side of 3rd paper top half: construct a perpendicular through a point ON the line
8. back side of 3rd paper bottom half: construct a perpendicular through a point NOT on the line

NB Check week 5 (20 pts) and Q. basic constructions (16 pts) were SUPPOSED to be given today but of course, everyone is not doing their homework and this is causing us to get bogged down in explanations, taking up very valuable instructional time! TIGHTEN UP!!!!

PH #2.5 Angle Relationships

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Bascially, you will always be responsible for doing the sections with the subtitle "Algebra" as well as the FCAT Practice section

PH #3.1 Properties of Parallel Lines

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• read the examples if you don't understand how to do the problems
• if two parallel lines are cut by a transversal, then alternate interior angles, alternate exterior angles, and corresponding angle are congruent; same side interior angles and same side exterior angles are supplementary

4.2 problems

• this is a PDF file on my website underneath the Worksheets section
  for this one time only, you can click on the link below to get it, but be sure you can find it on the website as well!
  

http://msichan.com/Documents/4.2%20problems%20gh.pdf

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Constructing Perpendiculars & Different Types of Angles

(For those of you who have been absent or need extra help, go to hstutorials.net (thanks, Taylor from last semester) click on Geometric Constructions to view video explanations). Or more information can be found in your book. See PH #3.7 for examples of how to do construct perpendiculars.

1. On the top half of your paper, construct a perpendicular line through a point NOT on the line.
2. On the bottom half of your paper, construct a perpendicular through a point ON the line.
3. On the top half of the back side, draw a segment. Label it AB. Now construct perpendicular bisectors to divide it into 4 congruent parts.
4. On the bottom half of the back side, draw a line segment so close to the edge of the paper that you can only swing arcs on one side of the segment. Now construct the perpendicular bisector of the segment.
5. On the top half of a second sheet of paper, construct a 60 degree angle.
6. On the bottom half of the second sheet of paper, construct a 45 degree angle. Using the 45 degree angle you just constructed, construct a 22 1/2 (twenty-two and a half) degree angle.
8. On the top half of the back side of the second sheet of paper, construct a 30 degree angle. Using the 30 degree angle you just constructed, construct a 15 degree angle.
9. On the bottom half of the back side of the second sheet of paper, construct a 120 degree angle.
10. On the top half of the 3rd sheet of paper, construct a 75 degree angle.
11. On the bottom half of the 3rd sheet of paper, construct a 52 1/2 degree (fifty-two and a half) angle.
12. On the top half of the back side of the 3rd sheet of paper, construct a 135 degree angle.
13. On the bottom half of the back side of the 3rd sheet of paper, construct a 105 degree angle.

Tomorrow's constructions are going to be a bit confusing. To make them easier, bring in computer paper and colored pencils for tomorrow's constructions. Of course, these are just suggestions and not mandatory. I'm just trying to make it easier for you.

Remember, the Regional playoffs for the boys' basketball team is tonight at 7pm at Flanagan's gymnasium! Extra Credit for attendance. Either find me in the stands or take a picture of you with the teams in the background for proof of your attendance!

PH #1.5
(anytime I say PH before the section #, I am referring to the Prentice Hall book that was issued to you last Friday)

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Vocabulary Quiz

• you should be CONSTANTLY reviewing your vocabulary words by using those beautiful index cards you created. CONSTANTLY. without me telling you like I am now. CONSTANTLY.
• next quiz will be on Friday!

True/False Quiz

• this Friday! make sure you UNDERSTAND WHY the statements are true or false. i do NOT want you memorizing! be able to VISUALIZE the statement

Constructions

• make sure you have a straight edge and a compass by next Tuesday
• using the book I sent home on Friday, please copy the following examples:
• Example 1 on pg. 34 (title it "How to duplicate a line segment")
• Example 2 on pg 35 (title it "How to duplicate and angle")
• Example 3 on pg 36 (title it "How to construct a Perpendicular Bisector)
• Example 5 on pg 37 (title it "How to construct an Angle Bisector)
• I want the steps TYPED
• I want each Example on its own paper
• Yes, you must copy the pics as best you can

Happy Valentine's Day! Happy New Year to all of my Chinese students! Reminder to be good for the substitute on Tuesday while I am at my workshop. Remember, your behavior grade from the sub is either an A or F. There is NO in between for me.

#2.4 PDF (from the 2.3-2.4 PDF file)

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• these are true or false questions
• make sure you can demonstrate why a statement is true or false

#2.8 PDF (from the 2.7-2.8 PDF)

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• these are all true or false questions
• make sure you can demonstrate why a statement is true or false

Vocab Quiz 2 tomorrow!!!!

• Please use the index cards you created to review for this quiz!
• involve your parents
• have them quiz you

Flag Football Donut Sale

• the girls' flag football team is selling donuts for $6/dozen. Monies are due tomorrow and donuts will be delivered on the 19th. If you are interested, bring in your money, even if you just want one or two donuts. If enough of your classmates want one or two donuts, then maybe we can put everybody's order altogether to purchase a couple of boxes.

2.5-2.6 PDF

• if you were one of the ppl who didn't finish last night's assignment because I put the PDF file on late, I am giving you another chance to complete it tonight.

2.7-2.8 PDF

• Investigation 2.7 (all); You need to come up with defintions for 6 words: from trapezoid to square.

Vocabulary Quiz 1 was given in class today (24 points)

Vocabulary Quiz 2 will be given tomorrow. It will include words from today's quiz, plus the words from 2.5 that we covered in class today.

2.5-2.6 PDF

• Investigation 2.5
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• Invsetigation 2.6
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• Exercise Set problems 1-15 all
• don't forget to bring your protractors
• everyone should have their compasses by Friday!
• study the 10 notecards we made in class today
• we will have a quiz on those 10 words tomorrow!

Q. nth Term was given today (60 points)

• if you were absent today, it is YOUR responsibility to come to me to make it up on Monday.
• I will NOT chase you down to have you make it up!
• I would advise you to come by during your lunch half hour to make it up so that you don't miss class discussion/lecture. But of course, the choice is up to you.

2.3-2.4 PDF

• this is the PDF file you worked from yesterday
• do 1-10 on page 5 of 5 of the PDF file
• it is titled Exercise Set 2.4
• they are 10 true false problems

Enjoy your Super Bowl weekend! Go Colts! Go Saints! Let's paly soem football!

2.3-2.4 PDF

• Investigation 2.3.2
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• basically, you're coming up with a definition for right angle up to angle bisector
• Investigation 2.4
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• basically you're defining parallel lines up to vertical angles
• be sure to include a PICTURE for every definition!!!!!!

That's it. You're coming up with 10 good definitions. I'm giving you light homework this evening so that you can spend some time PRACTICING the pre-quiz nth term problems so that you're prepared for tomorrow's quiz!!!!!!!! Remember, give yourself REAL testing conditions. Can you do all 16 practice problems in 45 minutes????????????

Summary

summarize in a paragraph how to:

• find the nth term of a linear sequence (use an example and refer to it)
• find the nth term of a quadratic sequence (use an example & refer to it)
• find the sum of the first 100 odd numbers
• find the sum of the first 200 even numbers
• find the sum of the first 300 consecutive integers
• find the sum of 1+3+5+...+999.
• find the sum of 2+4+6+...+772.
• find the sum of 1+2+3+...+230.
• find the sum of 19+21+23+...+111.
• find the sum of 44+46+48+...+312.
• find the sum of 81+82+83+...+198.
• summaries MUST be TYPED!!!!!!
• use colors and highlighters
• pretend like you are publishing a book. The summaries are the different chapters. Make it inviting for someone who has no idea how to find the nth term WANT to read your book. Make sure the explanations are so complete and easy to understand that I could use it to teach a future Chan student. Give your book a title. For example, my book might be called "Finding the nth Term for Dummies". This book is due tomorrow.

NB Check week 3 (20 points) and Q. Mini nth Term (32 points) was given today!

Extra Spicy nth Term Problems Part 3:

1. Find the sum of the first 45 odd numbers.
2. Find the sum of the first 65 even numbers.
3. Find the sum of the first 83 consecutive numbers.
4. 1+ 3+5+...+3031=?
5. 2+4+6+...+2264=?
6. 1+2+3+...+725=?
7. 87+89+91+...+291=?
8. 98+100+102+...+546=?
9. 56+57+58+...+423=?
10. How many sides does a polygon have if it has 4277 TOTAL diagonals?
11. How many handshakes are possible at a party with 400 people?
12. Find the value of the 200th term: 14, 45, 88, 143, ...
13. Find the value of the 120th term: 5/3, 40/3, 33, 182/3, ...
14. find the value of the 60th term: 10, -3, -4, 7, 30, 65, ...
15. If 28 lines are drawn on a piece of paper, what is the MAXIMUM number of points of intersection possible?
16. If a polygon has 42 sides, how many diagonals will it have?
17. If a polygon has exactly 65 diagonals, how many sides will it have?

Index Cards

• must have a pack of index cards tomorrow!
• 5x8 are preferable but 3x5 will work as well
• if you have colored pens/markers/pencils, bring those in, too

Extra Spicy nth Term Problems Part 2 PDF

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• this was yesterday's HW
• for some reason, it didn't post yesterday
• so those of you who did not hear from 3rd hour that this was yesterday's assignment now need to have both PARTS 1 and 2 done by tomorrow!
• you should have gotten alot of Part 2 don in class today as I gave you most of the class time to work with a friend