Factoring Book

Today, you were assigned a small project on factoring.  You goal is to create a book that describes the different strategies of factoring a trinomial. You will explain each strategy, give two worked out examples, and 3 problems for each strategy and include a complete answer key to the problems in the back of the book.

•          GCF
•          “Diamond Problem” or the equivalent
•          Difference of Two Squares
•          Perfect Square Trinomial
•          When the x² coefficient is greater than 1

The project is due in one week, Thursday, May 5th.  

Chapter 1-12 Review

Please remember that we have the first portion of our test tomorrow, short response.  This is a cumulative test, so please review EVERYTHING!  =)

Here is the link to the geometry Bingo Review for your enjoyment:
http://www.mathbits.com/MathBits/PPT/GEOMETRYBINGOReview.html

Here are the answers to your worksheet that you got yesterday in class:
1) x = 12; y = 33
2) x = 25; y = 58
3) many acceptable answers...
4) x = 27.6
5) x = 47.0
6) x = 5.3
7) 1980 degrees
8) 1080 degrees
9) 3600 degrees
10) 540 degrees
11) Kite; segement PQ is congruent to segment PS; segment QR is congruent to segment SR and they are pairs of congruent sides
12) Trapezoid; segment PQ is parallel to segment SR and segment PS is not parallel to segment QR
13) Parallelogram; segment QR is parallel to segment to PS and segment RS is parallel to segment QP
14) Rhombus; segment PW is parallel to segment RS, segment PS is parallel to segment QR and segment QS is perpendicular to segment PR
15) Translate down 5 and left 2, then reflect over the y-axis
16) Rotate 90 degrees counterclockwise about the origin, then translate down 6 units.
17) 2
18) 1
19) 8
20) (x + 3)^2 + (y - 2)^2 = 64
21) (x - 6)^2 + (y +1)^2 = 98
22) 5:3
23) 13:15
24) radical 3: 2
25) 120.6 square ft; 683.6 square feet
26) 236.0 square cm; 295.0 square cm
27) S = 226.73 square cm; V = 209.44 cubic cm
28) S = 142 square ft; V = 105 cubic ft
29) S = 389.56 square m; V = 458.90 cubic m
30) S = 345.70 square in; V = 378 cubic in
31) S = 78.54 square ft; V = 65.45 cubic ft
32) S = 251.14 square in; V = 290.98 cubic in

Chapter 1-12 Review

For review, please complete P. 866 #1-18 ALL.
Finish your Chapter 12 Study Project (see post below for terms)
Study for our Cumulative Test on Ch. 1-12 on Thursday (Short Response) and next Thursday (Multiple Choice)!!
See this website for videos of any topic that you are still having trouble with: http://www.brightstorm.com/math/geometry

12.7- Similar Solids

Today we did an investigation on Similar Solids, and discovered the relationships of the surface areas and volumes of similar solids.  If you were absent, please do the investigation from your textbook on Page 846.

Tonight's homework  is P. 850-851 #3,7,9,16,17, and 21.
Check out this animation: http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch12_pg852.html
Also, here is a video if you are having trouble understanding this topic: http://www.brightstorm.com/math/geometry/similarity/similarity-and-volume-ratios

Also, we have the last portion of our Study Project Due on Wednesday, April 6, 2011. (See below for terms)
And finally, we have our next Cumulative Test on Chapters 1-12 (everything since the beginning of the year) on Wednesday and Thursday next week (April 6 and 7)

Chapter 12 Terms
Prism (Surface Area and Volume)

Cylinder (Surface Area and Volume)

Pyramid (Surface Area and Volume)

Cone (Surface Area and Volume)

Sphere (Surface Area and Volume)

Similar Solids Theorem

12.6 Part 2- Volume of a Sphere

Today, we learned about how to find the volume of a sphere.  You should know how to find the volume of any composite solid now using your knowledge of volume of all solids.

Tonight's homework is: P. 842-843 #13,17,20, and 21
Also, we have our volume quiz tomorrow in class.  Please study!

http://www.brightstorm.com/math/geometry/volume/volume-of-spheres
Remember that you can use this website to review all past concepts if you need extra help!

12.6- Surface Area of Spheres

Today we learned about how to find the surface area of a sphere.  Think about it taking apart a baseball, and asking yourself how much leather would you need to cover the entire surface.

Tonight's homework is P. 842-843 #3,6,7, and 9

Check out this video for extra help:
http://www.brightstorm.com/math/geometry/volume/surface-area-of-spheres

12.5- Volume of Pyramids and Cones

Today we learned how to find the area of pyramids and cones.  You should be able to apply these formulas to calculate various parts of solids.

Tonight's homework is P. 832-833 #3, 6, 11, 13, 14, 17, 18, 21, and 24

Please see the following videos for extra help:
http://www.brightstorm.com/math/geometry/volume/volume-of-pyramids
http://www.brightstorm.com/math/geometry/volume/volume-of-cones

Also, if you are interested in proving why a pyramid is one-third the volume of a prism, check this out:
http://mathschallenge.net/library/geometry/volume_pyramid

12.4- Volume of Prisms and Cylinders

Today we started our discussion on volume of three-dimensional solids.  We began by looking at prisms and cylinders which have the same formula for finding their volume- calculating the area of the Base multiplied by the height of the solid.

Tonight's homework is P. 822-824 #3,7,11,15,19, and 21

Please see the following videos for extra help:
http://www.brightstorm.com/math/geometry/volume/volume-of-prisms
http://www.brightstorm.com/math/geometry/volume/volume-of-cylinders

Surface Area Review and Logic Puzzles

Today we reviewed what we have learned so far about Surface Area.  Please be sure that you have a good understanding of Surface Area so that we can move on to Volume tomorrow.

For homework, you received two logic puzzles in class.  You are to solve them for homework tonight.  If you need help, here are some websites that give some suggestions on how to solve them:

http://www.ehow.com/how_4442217_solve-logic-problems.html
http://www.thepuzzleclub.com/logicpuzzlessolve.php

HAVE FUN!!  =)

12.3 Part 2- Surface Area of Cones

Today we learned how to find the lateral area and total surface area of a cone.

Tonight's homework is P. 814-815 #11,15,17, and 22

Please see this video on finding surface area of a cone:
http://www.brightstorm.com/math/geometry/area/surface-area-of-cones
Also, here is a video on the surface are of joined solids if you are having trouble with them:
http://www.brightstorm.com/math/geometry/area/surface-area-of-joined-solids