Updated Similarity Test PDF

• we will have the similarity test on the first day back from break!

Need extra points?

• 100 points
• create a game using the review questions from my practice final exam : http://msichan.com/Documents/FINAL%20EXAM%20Review%20Geometry%20Honor.PDF
• it can be a jeopardy game or a monopoly game or whatever you want
• the idea is that you're learning how to do the problems as you create this game!
• the more creative it is, the better your chances of getting 100 points
  you may work with your friends on this over break
• no more than 4 ppl to a group!
• 100 points out of a 100 points could drastically improve your grade!
• due date: Wed., January 6, 2010

Have a wonderful break!!!!!

• be safe!
• enjoy your time with family and friends!
• i love you guys!
• see y'all next year in 2010!

12.7 Proportional Segments w Parallel Lines PDF

• (1-16) all

Don't forget that we will be P.A.R.T.Y.ing tomorrow!!! (Pick Anything & Read To Yourself)

Also, don't forget to bring your binders tomorrow! We will be having a short HW Check and Quiz before you PARTY.

#12.6 Proportions w Area and Volume PDF

• (1-20) all
• omit 19
• don't forget your index cards!!!!

#12.5 Corr Parts of Similar Triangles PDF

• (1-15) all

PH #8.5

• read pgs 446-448
• copy down the info in the green boxes
• copy examples 1, 2, and 3
• (1-33) all
• (52-55) all

Strand D Form A today!

HW Check: Volume Chapter today!

12.4 Indirect Measurement Word Problems PDF

• (1-12) all

PH 8.3

• read pgs 432-435 paying close attention to examples 1-4
• copy any and all postulates/theorems into your notes (these are the "clouds" you should KNOW!)
• (1-19) odd
• (10-15) all
• (45-48) all

PH #8.1

• (13-25) odd
• (43-44)
• (62-66) all

PH #8.2

• (1-19) odd
• (32, 33, 35)
• (53-56) all

Don't forget to go to youtube and do a search of Trans Siberian Orchestra Christmas Lights Commerical. It is one of the most amazing things you will ever see!

Volume Test tomorrow!!!!! Be ready! Do the practice test again!!!!! That's right. I said again!

Volume Pre Test PDF

• complete all of the problems
• that's 24 problems in all
• the solutions to the pre test are on a different PDF file underneath the pre test PDF file

11.8 Surface Area of a Sphere

• (1-13) all

I know that some of the problems are so that dark that you can't read the numbers so here is what you can't see for each problem:

1. r=9

3. r=12

4. Shaded area = 40 pi square cm. Find the surface area.

5. Surface area = 64 pi square cm. Find the volume.

6. Volume= 288 pi cubic cm. Find the surface area.

7. radius = R

12. A farmer must periodically resurface the interior (wall, floor,

of course, if you were one of the 20 students who did not complete last night's 11.7 HW assignment, you have extra homework! Make sure that both 11.7 AND 11.8 are complete for tomorrow!

Reminder! tomorrow is a professional development day! You will be released at 11:35 tomorrow. Lunch will be served at 11:40. Buses depart at 11:50.

11.7 Volume of a Sphere PDF

• (1-16) all

11.6 Density & Displacement PDF

• (1-12) all

11.5 vol word prob gh.pdf

• download from msichan.com
• HAPPY THANKSGIVING!!!!

HW will be posted by 8 pm this eveing. I'm experiencing technical difficulties

11.3 PDF

• (1-18) all

11.4 PDF

• (3-18) all

Right Triangle Test today!

You have another day to complete the HW I assigned over the weekend!

PH 10.5

• read pages 544-547
• do the Investigation on pg 544
• copy Theorems 10-5, 10-6, 10-7 (green boxes)
• read examples 1, 2, 3, and 4
• complete the Check Understanding problem at the end of each Example

Right Triangle Pre-Test AGAIN!

• this time set a timer for 1 hour and 25 minutes
• see if you can complete the pre-test before the buzzer goes off
• the more times you complete the pre-test, the more you improve your chances of doing well on the Right Triangle Test on Monday

Online Practice quizzes

• http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.gotoWebCode&wcprefix=auk&wcsuffix=0099
• do some practice quizzes for lessons 8-1-8.2
• don't forget to check out the extra credit opportunity at msichan.com

Finish Right Triangle Pre-Test!!!!

• no excuses!

Q. Geometric Mean today

• 20 points

PH #8.4

• (1-19) odd
• (26-37) all
• (50-60) all

#10.9 gh PDF

• (9-21) all
• yes, I know that 9, 10, 11 got chopped off
• you can still see what you need to see
• 9, 10, 11 are all equilateral triangles

Right Triangle Pre Test PDF

• (1-31) all

#10.5 PDF

• (1-30) omit 22-24

#10.4 PDF

• (1-32) all

10.4 invest and problems gh.pdf

• complete Investigation 10.4.1 and 10.4.2

10.1-10.3 Pythagorean Th. PDF

• all

Q. Where do Area Formulas Come from?

• 10 points

#10.1 Pythagorean Theorem

• finish proving that a squared + b squared = c squared by cutting out the 5 pieces we created in class today and rearranging them to fit PERFECTLY into the square on the hypotenuse side

Area Pre-Test PDF

• you are responsible for all of the problems
• this pre-test is actually broekn up into 3 different pre-quizzes
• it will make more sense AFTER you print up the pages and stack them on top of one another. you're bright kids. you'll figure it out.
• Area Test will be this Friday!

#9.7 Surface Area PDF

• (1-12) all

#9.6 Area of Sector, Segment, and Annulus PDF

• (2-16) even

Senior Superlative Show is this Thursday at 7pm. Go and support the Senior class (and get extra credit for doing it!) $5 pre-sale tickets are on sale now!

PH 7.7

• (7-21) odd
• (22-27) all
• (35-39) all
• (41-43) all

PH 7.1

• 24
• (52-55) all

PH #7.4

• 39
• (42-46) all

PH #7.5

• (46-50) all

PH #7.7

• (1-6) all

Remember, everyone has an "A" (50 out of 50). If you don't do this homework, your 50 will go down to 40 out of 50. Have a very safe, Happy Halloween! Don't forget to "fall back" an hour before you go to bed Saturday night! (Yes, we gain an hour of sleep!)

Area Word Problems

• 9.3 word problems area gh.PDF

Pre-Sale tickets for the Senior Superlative Show

• (next Thurs at 7 pm) are on sale in my room tomorrow!!!!
• Bring your $5 so that you don't miss out on all of the fun!

Don't forget to wear RED tomorrow!!!!! Also, don't forget to bring in money if you wish to purchase pre-sale tickets for the Senior Superlative show next Thursday night at 7 pm!!!

Circle Test

• today
• 117 points

Area of Rectangles, Parallelograms, Triangles, Trapezoids, Kites

• make sure you complete this HW for tomorrow!

Areas of Rectangles, Parallelograms, Triangles, Trapezoids, and Kites

• download the PDF file from the website titled "Areas of rect para tri trap kite"

Circle Test tomorrow!

don't forget to wear RED on Thursday!

Circle Pre-Test

• again!
• practice makes more perfect!
• I am not massaging anyone's grades this 9 weeks so don't even play!
• do the practice test again!
• no distractions (i.e... text messaging, TV, stereo, computer, phone calls...)
• review how to locate the center of a circle by construction!
• Circle Test tomorrow!

Circle Pre-Test

• complete this before Monday's class
• will be having the Circle Test next Tuesday

Mascot Madness

• don't forget to vote!
• let's beat Everglades!
• more extra crredit for 2nd nine weeks!

Scrap Paper Packet

• create your scrap paper packet for use on exam day
• don't ask me how many sheets of paper YOU need. only YOU know how much YOU need. If you've done the practice exam, YOU would know how much YOU need!
• staple the scrap paper packet together
• in the upper right hand corner of the first sheet, please write your name, Mid-Term Exam for Alg 2 or Geo Hon, period, and date

Mid-Term Practice Exam

• never hurts to practice these problems again even IF you THINK you know how to do them. Practice makes MORE perfect

Reference Sheet

• remember to use every square inch of your reference sheet
• eight and a half by eleven inch paper
• handwritten (no typing)
• one side only

Mid-Term Practice

• download from msichan.com
• complete all of the problems
• I will be taking questions on Monday. You must actually ATTEMPT to do these problems so that you can figure out what it is you don't know or understand. What I'm trying to say is that you won't know what it is you don't know until you TRY the problems!
• You will be allowed to bring in notes to use on the exam. ONE side of an eight and a half by eleven inches piece of paper
• I would start creating this reference sheet this weekend.
• I would also USE every square inch of space on that one side I am allowing to use.

PH #7.6

• (15-39) odd
• (49-53) all
• (73-75) all

#7.5 Circumference to Diameter Ratio

• make a table that contains 6 rows and 4 columns
• the name of the 4 columns are: Name of Object, Circumference, Diameter, and C/D
• trace 5 circular objects in your house (campbell soup can, glass bottom, etc)
• find the circumference and diameter of each object
• complete the table

Chord Properties

• finish the investigations from 7.3 pdf file located on my website
• then do problems 1-6 from the PDF file

PH #11.2

• (1-19) odd
• (41-46) all

PH #11.3 Inscribed Angles

• read pgs 598-601. Pay special attention to the examples
• (1-19) odd
• (21-24) all
• (46-50) all

Ch. 4/6 Test today!

• 109 points

PH #11.1

• (1-3) all
• (19-22) all
• (43-47) all

7.3 pdf

• all

Ch 4/6 Pre-Test

• this is a PDF file that can be found on my website
• you are to complete this practice test in its entirety
• the solutions to these problems have been included to further help you understand HOW to solve these problems
• if you still do NOT understand how to do a particular problem even after reviewing my solution, get on the chat room
• if no one can provide assistance, have that question ready for tomorrow
• John B. will be in the library tomorrow at 7am for tutoring. He usually sits at the first table as soon as you walk into the library. If you're not sure, shoot him an e-mail (his address is on my website)
• if you've researched your notes and still can't figure out how to do a problem, call a friend or go into the chat room. If no one can help you there, see John in the morning for tutoring. IF you've exhausted every possible avenue and still don't know how to do a problem, don't fret....I will be taking questions for the first 15 minutes of class (and that's it!) so utilize that time wisely by having your questions ready
• check out the video on the stray dog rescuing another stray dog
• don't forget to vote for the school mascot!

PH 6.4 Special Parallelograms

• (1-15) odd
• (48-50) all
• (57-60) all
• (64-66) all

PS...good luck JV football team!!!! Kick some Cowboy booty!

Look at the new video I posted on my website about never giving up....

PH 6.2 Properties of Parallelograms

• (1-9) odd
• (10-22) all
• (34-35)
• (43-52) all
• (63-69) all

Midsegments of a Trapezoid

Given the following information, find the length of each missing length.

1. if b1=4 and b2=12, find the length of the midsegment.
2. if b1=10 and the midsegment equals 24, find the length of b2.
3. if b1=2x+1 and the midsegment =2x+8 and b2=3x+12, what does x=? b1=?
4. midsegment=? b2=?

PH 5.1 Midsegments of Triangles

• (1-19) odd
• (28-36) all
• (40-46) all

Virtual Counselor Scavenger Hunt Wksht

• download the wksht from msichan.com
• it is located on the Home page of the website underneath the Extra Credit alert
• this is due on Monday for 15 points

PH #6.5 Kites and Trapezoids

• (4, 5, 15)
• (21-25) odd
• (27-29) all
• (45-50) all

Kites and Trapezoid pdf

• (1-6) all
• 8

6.3 Kite and Trapezoid Properties

• go to website and click on kite and trapezoid investigations
• it's underneath the pdf files of last night's homework
• we began Investigation 6.3.1 in class. We completed C-42 which says, "The diagonals of a kite are perpendicular bisectors of each other"
• we went on to Step 4 where we were then able to complete C-43 which says, "The diagonal connecting the 2 vertex angles of a kite is the perpendicular bisector of the other diagonal."
• you are now to continue on with Step 5 and complete all of the statements beginning with C-44 and ending with C-46.
• if you want to check your answers, use the prentice hall book and find the section on kites and trapezoids. No, I won't tell you where it is. You should use your researching skills to find those sections. Hint: use either your table of contents OR the index!
• by the way, 2 girls in my 4th period said that they go on yahoo messenger and are able to doodle the constructions and send them to each other. if you know of someone else who has yahoo, try it with them!

PH #5.5 Triangle Inequalities

• (1, 2, 3,5, 7, 11, 13)
• (17-27) odd
• (32)
• (42-47) all

5.3 (this is a pdf file on my website!)

• (6-18) all

PH #3.3

• (7-11) odd
• (31-35) odd
• (43)
• (64-67) all

PH #3.4

• (21, 23, 47, 48, 64-66)

#5.1 Triangle Sum (pdf file on website)

• (7-8)

#5.2 Properties of Isosceles Triangles (pdf fileo n website)

• (4-7) all

#6.1 Polygon Sum (pdf file on website)

• (1-13) all

PH #2.5 Angle Relationships (you guys know how much i "love" this book!)

• (20-22) all
• (29-30) all
• (39-42) all
• (47-54) all
• (57-65) all
• 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

• (14-16) all
• (23-25) all
• (37-41) all

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
• (1-7, 9)

Happy Yom Kippur to all of my Jewish students! Have a nice, long, PG-13 weekend everyone!

Polygon Sum Conjecture

1. Draw a triangle. Use a protractor to measure each angle. Find the sum of all the angles.
2. Draw a quadrilateral. Use a protractor to measure each angle. Find the sum of all the angles.
3. Draw a pentagon. Use a protractor to measure each angle. Find the sum of all the angles.
4. Draw a hexagon. Use a protractor to measure each angle. Find the sum of all the angles.
5. Draw a heptagon. Use a protractor to measure each angle. Find the sum of all the angles.
6. Draw an octagon. Use a protractor to measure each angle. Find the sum of all the angles.

Complete the following chart:

# of sides: 3 4 5 6 7 8 n

# of triangles formed:

Sum of all the angles:

Constructions

Construct the 3 perpendicular bisectors of:

1. an acute triangle
2. an obtuse triangle
3. a right triangle

Now construct the circumscribed circles of each of the above triangles.

Construct the 3 angle bisectors of:

4. an acute triangle

5. an obtuse triangle

6. a right triangle

The 3 angle bisectors of a triangle intersect at one point callede the incenter.

For numbers 4-6, pick the longest side of each triangle. Use your knowledge of how to construct a perpendicular through a point NOT on the line to construct a perpendicular to your longest side through the incenter.

Good luck! See you tomorrow! Remember, tomorrow is early release which means we end at 12:40.

P.S. make sure you KNOW the definitions for median and altitude BEFORE you walk into my class tomorrow. I do not have time for you to be confused! KNOW them like the back of your hand!

Constructing Perpendiculars &Different Types of Angles
(For those of you who have been absent or need extra help, go to hstutorials.net (thanks, Taylor!), click on Geometric Constructions to view video explanations)

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.
7. 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.
8. On the bottom half of the back side of the second sheet of paper, construct a 120 degree angle.
9. On the top half of the 3rd sheet of paper, construct a 75 degree angle.
10. On the bottom half of the 3rd sheet of paper, construct a 52 1/2 degree (fifty-two and a half) angle.
11. On the top half of the back side of the 3rd sheet of paper, construct a 135 degree angle.
12. 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.

Constructions

1. Draw an acute angle on the top half of your paper. Duplicate it.
2. Draw an obtuse angle on the bottom half of your paper. Duplicate it.
3. On the back of your paper, (top half), draw an acute angle. Label it angle A. Now draw another acute angle next to it. Label it angle B. Construct a third angle so that it is congruent to angle A + angle B.
4. On a new sheet of paper (top half), construct a perpendicular bisector.
5. On the bottom half, draw an angle. Label it angle D. Bisect it.
6. On the back side (top half), draw an obtuse angle. Label it angle E. Bisect it.
7. On the bottom half, draw a line segment. Label it AB. Draw another segment of a diffrent length. Label it CD. Now construct a new segment so that it is equal in length to AB +CD.

Be sure to have your compass and straightedge with you on Monday!!!!!

We will be learning how to do constructions next week. If you would like to get a head start on these lessons (HIGHLY RECOMMENDED), you can try googling "constructions". We will be learning how to "duplicate a line segment", "duplicate an angle", "bisect a segment", "bisect an angle", "construct a perpendicular line through a point ON the line", "construct a perpendicular line through a point NOT on the line" and "construct parallel lines". If you can find a video showing you how to do it, even better. If you find a good website that SHOWS you how to do any of these constructions, write it down and bring it to share with your colleagues. Everyone should have at least 5 websites to share on Monday.

Vocabulary Quiz on Monday! Use your index cards to study, study, study this weekend!!!!!

True or False?

The following exercises will help you visualize relationships between geometric figures in a plane and in space. Determine whether the following statements are true or false. Make a sketch or use physical objects to demonstrate each true statement. For each false statement, produce a counterexample illustrating that each is false. If you wish to create physical models, use pencil tips and thumbtacks to represent points. Use rulers, pencils, or stiff wires to represent lines. Use a piece of paper or cardboard to represent planes. Some of these can be challenging I know which is why I am asking you to make a PHYSICAL model to help you visualize the statement.

1. For every line segment, there is exactly one midpoint.
2. For every angle, there is exactly one angle bisector.
3. If two different lines intersect, then they intersect at one and only one point.
4. If 2 different circles intersect, then they intersect at one and only one point.
5. There is exactly one and only one line perpendicular to a given line through a given point on the given line.
6. In a plane, there is exactly one line perpendicular to a given line through a given point on the given line.
7. There is exactly one line perpendicular to a given line through a given point NOT on the given line.
8. In every triangle, there is exactly one right angle.
9. Through a given point NOT on a given line, there is one and only one line that can be constructed parallel to the given line.
10. It is possible for 2 triangles to intersect in one point, 2 points, 3 points, 4 points, 5 points, or 6 points, but not exactly 7 points.
11. One and only one distinct line can be drawn through 2 different points.
12. One and only one distinct plane can be made to pass through 3 NONcollinear points.
13. Exactly one disitinct plane passes through one line and a point NOT on the line.
14. If a line intersects a plane NOT containing it, then the intersection is exactly one point.
15. If 2 lines are perpendicular to the SAME line, then they are parallel.
16. If 2 different planes intersect, then their intersection is a line.
17. If a line and a plane have NO points in common, then they are parallel.
18. If 2 coplanar lines are BOTH PERPENDICULAR to a third line in the SAME plane, then the 2 lines are parallel.
19. If 2 different planes do NOT intersect, then they are parallel.
20. If a plane intersects 2 parallel planes, then the LINES OF INTERSECTION are parallel.
21. If 3 RANDOM planes intersect (no 2 planes are parallel and no 3 through the same line), then they divide space into 6 parts.
22. If a line is perpendicular to 2 lines in a plane, but the lines is NOT contained in the plane, then the line is perpendicular to the plane.
23. If 2 lines are perpendicular to the same plane, then they are parallel to each other.

Vocabulary

• create vocabulary index cards
• you may use 3x5 index cards or 4x6 index cards. your choice.
• on one side of the card, write the vocabulary word
• on the other side of the card, write the definition AND draw a picture illustrating the word you're trying to define

1. point
2. line
3. plane
4. collinear
5. coplanar
6. space
7. line segment
8. ray
9. angle
10. congruent
11. counterexample
12. right angle
13. acute angle
14. obtuse angle
15. midpoint
16. angle bisector
17. parallel
18. perpendicular
19. complementary
20. supplementary
21. vertical angles
22. linear pair
23. polygon
24. convex
25. concave
26. triangle
27. quadrilateral
28. pentagon
29. hexagon
30. consecutive vertices
31. consecutive angles
32. consecutive sides
33. perimeter
34. diagonal
35. equilateral
36. equiangular
37. regular polygon
38. right triangle
39. acute triangle
40. obtuse triangle
41. scalene
42. isosceles
43. median
44. altitude
45. trapezoid
46. kite
47. parallelogram
48. rhombus
49. rectangle
50. square

This may seem like a lot of words to you, but if you take 50 vocabulary words and divide it by the 4 nights (Friday night, Saturday night, Sunday night, and Monday night) you have to complete this assignent, it gives you an average of 12.5 words per evening. This is definitely doable.

PH #1.1

• FCAT Practice (56-59) all

PH #1.2

• read pgs. 10-13
• take notes. pay particular attention to vocabulary words Highlighted in yellow, as well as, examples 1, 2, 3, and 4
• FCAT Practice (85-89) all

PH #1.3

• read pgs. 17-19
• take notes. pay particular attention to vocabulary words highlighted in yellow, as well as, examples 1, 2, and 3
• FCAT Practice (63-70) all

FACTORING

Factor the following trinomials: the symbol ^ means "raised to". For instance, 5x^4 means 5 times x raised to the fourth power

1. 3x^2+5x+20
2. x^2+10x+24
3. x^2-14x+33
4. x^2+3x-28
5. 6x^2-31x+35
6. 6x^2+11x-35
7. 2^2+11x+12
8. 4x^2+7x+3
9. 2x^2-7x+6
10. 3x^2-16x+5

If you didn't finish last night's #1.6 problems, you have another night to complete it.

#1.6 Mathematical Modeling
Draw pictures for yourselves to model each situation. Use points to represent people and line segments to represent connections such as a handshake or a conversation.

1. How many diagonals can you draw from ONE vertex in a polygon with 35 sides?
2. If you place 35 points on a piece of paper so that NO THREE are in a line, how many line segments are necessary to connect each point to all the others?
3. What's the TOTAL number of diagonals in a 35 sided figure?
4. If you draw 35 lines on a piece of paper so that no 2 lines are parallel to each other and no three pass through the same point, how many times will they intersect?
5. Is there a geometrical relationship between the first 4 problems?
6. If there are 20 ppl sitting around a table, how many different pairs of ppl can have conversations during dinner?
7. If 40 houses in a community all had to have direct lines to one another in order to have telephone service, how many lines would be necessary? Would it be practical? Is there a more practical alternative?
8. If each team in a 10 team league plays each of the other teams four times in a season, how many league games are played during one season? What geometric figures can you use to model teams and games played?
9. Each person at a dinner table shakes hands with everyone EXCEPT the 2 ppl on either side of him (this means he won't shake hands with either the person directly to his left and the person directly to his right). How many handshakes will there be among 20 diners?
10. A polygon has six diagonals leaving each vertex. How many sides does it have?
11. A polygon has 90 diagonals. How many sides does it have?
12. Each person at a party shook hands with everyone else exactly once. There were 66 handshakes. How many ppl were at the party?
13. Find the nth term: 1, 6, 15, 28, 45, 66
14. Find the nth term: 4, 7, 10, 13, 16, 19
15. Find the nth term: -4, 3, 16, 35, 60, 91
16. Find the nth termL -1, 0, 9, 26, 51, 84
17. 33+35+37+...+351=?
18. 48+50+52+...+688=?
19. 45+46+47+...+986=?
20. Find the next term in the sequence: 1, 246, 546, 909, 1344, 1861

Finding the sum of the first n even integers
(remember, n represents the # of even integers
and Finding the sum of the first n consecutive integers

1. find the sum of the first 75 even integers.
2. find the sum of the first 100 even integers.
3. how many even integers are there between 1 and 60?
4. how many even integers are there between 1 and 200?
5. how many even integers are there between 1 and 500?
6. 2+4+6+...+60=?
7. 2+4+6+...+200=?
8. 2+4+6+...+500=?
9. if 2+4+6+...+1000=? is the same as finding the sum of the first 500 even integers, then 2+4+6+...+ is the same as ....?
10. if 2+4+6+...+450=? is the same as finding the sum of the first 225 even integers, then 2+4+6+...+ is the same as ....?
11. if 2+4+6+...+840=? is the same as finding the sum of the first 420 even integers, then 2+4+6+...+ is the same as ....?
12. 58+60+62+...600=?
13. 34+36+38+...+168=?
14. 88+90+92+...+792=?
15. find the sum of the first 150 consecutive integers.
16. find the sum of the first 75 consecutive integers.
17. find the sum of the first 221 consecutive integers.
18. 1+2+3+...+ 123=?
19. 1+2+3+...+242=?
20. 1+2+3+...+650=?
21. 66+67+68+...+431=?
22. 90+91+92+...+357=?
23. 44+45+46+...+242=?

For numbers 24-28, first determine which nth term you need to use (n squared, n(n+1), or n(n+1)/2). Be sure you can justify your answer. Then, solve the problem.

24. 56+58+60+...+548=?

25. 1+3+5+...+453=?

26. 45+46+47+...+226=?

27. 2+4+6+...+888=?

28. 39+41+43+...199=?

29. Find the nth term of the following sequence: 1, 2, 15, 40, 77, 126

30. Find the value of the 50th term: 0, 0, 2, 6, 12, 20 (this problem gives me warm fuzzzies...lol)

Finding sum of a series of odd numbers

For numbers 1-5, find the nth term.

1. 28, 45, 66, 91, 120
2. 7, 24, 45, 70, 99
3. 15, 21, 28, 36, 45
4. 5, 28/3, 15, 22, 91/3
5. -2, 7/2, 15, 65/2, 56
6. Find the sum of the first 40 odd numbers.
7. Find the sum of the first 121 odd numbers.
8. Find the sum of the first 343 odd numbers.
9. 1+3+5+7+...+79=?
10. 1+3+5+7+...+241=?
11. 1+3+5+7+...+685=?
12. Given that the sum of the first 50 odd numbers is the same as the mathematical problem 1+3+5+7+9+11+...+99, rewrite the following sentence as a mathematical problem: the sum of the first 150 odd numbers is the same as ......
13. Given that the sum of the first 50 odd numbers is the same as the mathematical problem 1+3+5+7+9+11+...+99, rewrite the following sentence as a mathematical problem: the sum of the first 242 odd numbers is the same as ......
14. Given that the sum of the first 50 odd numbers is the same as the mathematical problem 1+3+5+7+9+11+...+99, rewrite the following sentence as a mathematical problem: the sum of the first 400 odd numbers is the same as ......
15. 55+57+59+...+311=?
16. 213+215+217+...+501=?
17. 457+459+461+...+975=?
18. 99+101+103+...+445=?
19. 25+27+29+...+1013=?
20. 77+79+81...+367=?

More nth Term Problems

For numbers 1-10, find the nth term. Then find the value of the 20th term.

1. 8, 13, 18, 23
2. 2, 5, 8, 11
3. 9, 13, 17, 21
4. 6, 14, 22, 30
5. 17, 27, 37, 47
6. -3, 10, 35, 72
7. 12, 40, 66, 112
8. 28, 63, 110, 169
9. -5/2, 0, 13/2, 17, 63/2
10. -5/2, 3, 21/2, 20
11. Find the sum of the first 100 odd numbers.
12. Find the sum of the first 25 odd numbers.
13. Find the sum of the first 50 odd numbers.
14. How many odd numbers are there between 1 and 299?
15. How many odd numbers are there between 1 and 75?
16. How many odd numbers are there between 1 and 183?
17. 1+3+5+...+299=?
18. 1+3+5+...+75=?
19. 1+3+5+...183=?
20. 1+3+5+...+247=?

#1.5

• (3, 4)
• (9-14)
• (20, 21, 24, 25)

#1.4
Find the nth term for each sequence. After you find the nth term, I want you to tell me what the value of the 20th term will be (that means substitute n with 20 after you get your answer. For example, if you get 2n+5 as your nth term, then the value of the 20th term would be equal to 2(20) +5 or 45)

1. 3, 9, 15, 21, 27, 33
2. 11, 23, 35, 47, 59, 71
3. -4, 4, 12, 20, 28, 36
4. 0, 7, 14, 21, 28, 35
5. do in class tomorrow
6. do in class tomorrow
7. do in class tomorrow
8. do in class tomorrow
9. do in class tomorrow

#1.5

Find the nth term for each sequence. After you find the nth term, I want you to tell me what the value of the 20th term will be (that means substitute n with 20 after you get your answer. For example, if you get (4n+1)(n+3) as your nth term, then the value of the 20th term would be equal to [4(20)+1](20+3) = (81)(23)= 1863 ).

1. 4, 8, 12, 16, 20, 24
2. 5, 7, 9, 11, 13, 15
3. do in class tomorrow
4. do in class tomorrow
5. 2, 9, 20, 35, 54, 77
6. 0, 3, 8, 15, 24, 35
7. 4, 10, 18, 28, 40, 54
8. 6, 21, 40, 63, 90, 121

Some of these may be challenging for some of you and for some of you, this is easy. If you're struggling, call a friend or go online into the chat room. If this is easy for you, go into the chat room and help somebody. First of all, it'll make you feel good. Second of all, you'll reinforce your understanding by explaining it to somebody else. Third of all, what goes around comes around...one of these days when you're the one struggling, someone will be more than likely to remember your generosity and want to help you out.

#1.2 Inductive Reasoning

• Using inductive reasoning, find the next two terms of the sequence. Be sure to SHOW your work!

• 2. 180, 360, 540, 720, ?, ?
• 4. 1, 3, 6, 10, 15, 21
• 6. W, T, Q, N, K, H
• 8. a, 6, c, 12, e, 18
• 10. A, B, D, G, K
• 12. 1, 3, 4, 7, 11, 18
• 14. 1, 3, 7, 15, 31, 63
• 16. 3, 5, 11, 29, 83, 245
• 18. 3, -12, 48, -192, 768
• 20. 1/2, 1/3, 1/8, 1/16

be sure to get your supplies by Friday!!!!! Signed Rules must be turned in to me by Friday, August 28, 2010!!!!