Chapter 11 Review

Tonight's homework is to review Chapter 11, P. 916-917 #3-51, every third problem.  Also, please study for the multiple choice portion of your test tomorrow.  There will be only 20 questions for this part of the test.  Good luck!  =)

www.regentsprep.org is up and running today.  check out the games we have done in class.

Regents Prep

If you haven't been on this website, please go on it, and use it for extra practice problems.
http://www.regentsprep.org/Regents/math/geometry/math-GEOMETRY.htm

Chapter 10 Review

Tonight, please review Chapter 10, P. 914-915 #3-54, every third.

If I told you to log onto Acuity, you can see your score, but not the individual questions you got wrong, so no test corrections as of yet.  Sorry...  I'll figure out when we will have this information available.  

Chapter 8 Review

Tonight's Chapter 8 Review comes from P. 910-911 #3-48, every third problem.  Please study for the short response part of your test on Friday.

Today's after school review is cancelled, but we will hold an extra review on Friday after school.

GEOMETRY REGENTS IS JUNE 23!!

Chapter 7 Review

Tonight's homework is P. 908-909 #3-48, every third problem.  Please review Chapter 7!!

We have review after school tomorrow, Wednesday, and the test Part 1 on Friday

Chapter 6 Review

Today, you should review Chapter 6 in your textbook, which is reviewing similarity.  Please complete P. 906-907 #3-42, every 3rd problem.

Chapter 5 Review

Today you should review Chapter 5, properties inside a triangle.  Please complete P. 904-905 #3-51, every third problem.

Also we will have extra after-school Review on the following days:

Wednesday, June 8

Tuesday, June 14

Wednesday, June 15

Thursday, June 16

Tuesday, June 21

Wednesday, June 22

GEOMETRY REGENTS IS THURSDAY, JUNE 23

Chapter 4 Review

Tonight, please review triangle congruency in Chapter 4.  Please complete P. 902-903 #3-39, every third problem.

You will have one last test before the Regents exam, and it will be Friday, June 10 (Parts 2-4, Short Response) and Thursday, June 16 (Part 1, Multiple Choice).

Also we will have extra after-school Review on the following days:

Wednesday, June 1

Thursday, June 2

Wednesday, June 8

Tuesday, June 14

Wednesday, June 15

Thursday, June 16

Tuesday, June 21

Wednesday, June 22

GEOMETRY REGENTS IS THURSDAY, JUNE 23

Chapter 3 Review

Tonight, please review Chapter 3: Parallel and Perpendicular Lines.  P. 900-901 #3-45, every third problem.

You will have one last test before the Regents exam, and it will be Friday, June 10 (Parts 2-4, Short Response) and Thursday, June 16 (Part 1, Multiple Choice).

Also we will have extra after-school Review on the following days:
Wednesday, June 1
Thursday, June 2
Wednesday, June 8
Tuesday, June 14
Wednesday, June 15
Thursday, June 16
Tuesday, June 21
Wednesday, June 22

GEOMETRY REGENTS IS THURSDAY, JUNE 23

Chapter 2 Review

Tonight, please complete P. 898-899 #5, 9, 11, 17, 23, and 34-41 which is a review of Chapter 2 topics.  Please finish all other worksheets that have been passed out and your Study Project if you have not already done so.

Chapter 1 Review

Please complete these extra practice problems to review Chapter 1 in the textbook, P. 896-897 #3-51, every third problem.  Please also bring the complete and finished organized product of your Study Project.

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

12.3 Part 1- Surface Area of Pyramids

Today we discussed how to find the surface are of a pyramid.  Please make sure you review all vocabulary associated with a pyramid and please see me if you are having trouble with any of the surface area concepts as we are doing them.  Don't wait until it's too late!

Today's homework is P. 814-815 3,5,7,and 23

Here is a video that may help you if you are having difficulty understanding the material:
http://www.brightstorm.com/math/geometry/area/surface-area-of-pyramids

12.2- Surface Area of Prisms and Cylinders

Today we began our study on 3-dimensional solids.  We looked at finding the surface area of prisms and cylinders.

Tonight your homework is P. 806-807 #3,7,9,13, and 17

For more help with finding surface area of these solids, please see:
http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch12_pg805.html
http://www.brightstorm.com/math/geometry/area/surface-area-of-prisms
http://www.brightstorm.com/math/geometry/area/surface-area-of-cylinders

Ch. 1-11 Test and Corrections

On Friday you received your Chapter 1-11 Test.  Test corrections are due on Monday, unless you need extra help- in which case you should come see me at lunch on Monday, and you can work until Tuesday to complete corrections.  PLEASE SEE ME if you are having trouble with your corrections!

Extra Credit Assignment

Hi everyone, please remember that your extra credit drawing is due tomorrow.  The more creative and detailed, the more points you will receive toward your project average.  All missing assignments are due tomorrow as well.

Chapter 10 Review and Extra Credit Project

Today we celebrated Pi Day and the culmination of Chapter 10 by working on an extra credit project.  Your project is to create a drawing using circles, lines, and parabolas and labeling each equation of each figure that you draw.  This extra credit project is due on Friday and points will be awarded based on creativity and detail.

Also, please visit http://www.classzone.com/cz/books/geometry_2007_na/crossword.htm?id=xword_ch10 and complete the Chapter 10 Crossword puzzle.  Either email me a screenshot of your results (email to bergerj@nestmk12.net) or print out your finished puzzle.  This is due by tomorrow.

Please also study for you Cumulative Test which will be on Wednesday (Short Response) and Thursday (Multiple Choice).

11.6- Area of a Regular Polygon

Since I know we covered a lot today about the area of regular polygons, please take a look at these videos for a more complete understanding of the material:
http://www.brightstorm.com/math/geometry/area/center-and-apothem-of-regular-polygons
http://www.brightstorm.com/math/geometry/area/area-of-regular-polygons

We will continue talking about this on Monday

Tonight's homework is P. 765-766 #7, 11, 15, 18, and 21

You will have your next Cumulative Test next week on Wedensday (Free Response) and Thursday (Multiple Choice).  Remember this covers everything since the beginning of the year.

Locus

Yesterday and today we talked about the six fundamental loci constructions.  We also learned how to find the locus of a combination of conditions.  See this video for help on the concept of a locus (keep in mind, we are only concerned with 2-dimensional loci at this point): http://www.brightstorm.com/math/geometry/circles/locus-and-definition-of-a-circle-and-sphere

For tomorrow, please complete your Chapter 10 Study Project.  See the previous post for the terms: http://nest8thgrademath2010.blogspot.com/2011/03/chapter-10-study-project.html

10.7- Graphing Circles

Today we practiced graphing circles, both by hand and in our graphing calculators.  We were also introduced to the concept of intersection circles and how this relates to loci- which we will continue discussing tomorrow.

Tonight's homework is P. 703 #23,25,26,31, and 33

10.7- Writing Equations of Circles

Today we learned the standard equation of a circle and how to write equations given the center and radius or enough information to find either of these.  If you were absent, you can find more information about finding the equation of a circle here: http://www.brightstorm.com/math/geometry/pythagorean-theorem/equation-of-a-circle

Tonight's homework is P. 702-703 #3,4,7,11,14,16,17

Chapter 10 Study Project

Your chapter 10 Study Project will be due in one week, Thursday, March 10.  Here are the terms so that you can get started tonight- please remember to include diagrams!:

Tangent (include any theorems and properties)
Central Angle (include its corresponding arc measure)
Chord (include properties of chords from section 10.3)
Inscribed Angle (include how to find its measurement)
Inscribed Polygon (include what you know about inscribed right triangles and quadrilaterals)
Angle Formed by a Tangent and Chord
Angles Inside the Circle Theorem
Angles Outside the Circle Theorem
Segments of Chords Theorem
Segments of Secants Theorem
Segments of Secants and Tangents Theorem
Standard Equation of a Circle
Locus
Area of a Regular Polygon

10.6- Find Segment Lengths in Circle

Today we looked at the relationships between the segments lengths in a circle, specifically of chords, secants, and tangents.

Tonight's homework is P. 692-694 #3,6,9,14,16
Tomorrow we have a quiz on Chapter 10.1-10.6 (Everything we have learned about circles so far).  Please review these sections and be sure that you know all of the properties of circles that we have learned so far.

Check out this animation to help with today's lesson: http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch10_pg691.html

11.4 Part 2 and 11.5- Angles Relationships in a Circle

Today we learned about inscribed polygons of a circle and other angle relationships of a circle, namely Angles inside a circle and outside of a circle.

Tonight's homework is P. 676-677 #13,15,19,21,23 AND P. 683-684 #3,6,9,11, and 13

Check out this animation for more help: http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch10_pg682.html

10.4- Inscribed Angles

Today we investigated the relationship between inscribed angles and central angles of a circle.  If you were absent, please complete the activity found on page 671 of your textbooks and please watch this video:
http://www.brightstorm.com/math/geometry/circles/inscribed-angles

Tonight's homework is P. 676-677 #5,8,16, and 18

10.3- Properties of Chords

Today we began looking at arcs and chords of circles and how they are related.

Along with the Acuity assignment, please complete P. 667-668 #3-15 odds

For those of you who were absent, please read this section of the textbook and check out this helpful video: http://www.brightstorm.com/math/geometry/circles/chords-and-a-circles-center

Have a great break!

BREAK ASSIGNMENT

DUE on MONDAY, FEBRUARY 28, 2011:

Over break (or as soon as you get a chance), please log on to Acuity (https://nyc-acuity.mcgraw-hill.com/index.jsp) and review your most recent 8th Grade Predictive Exam.  Your exam results go with the booklet that I passed out in class today.  Please write down the score that you received and complete all test corrections for any mistakes that you made.  This will count as a test score.  To check your questions that you got wrong, please click on:
1. View Reports
2. 02/09/11 Grade 8 Predictive Assessment
3. Click on any Strand that you did not receive 100%
4. View the item numbers that you got wrong in your booklet that you received today

You login information:
Username: firstnamelastname (no spaces)
Password: StudentID# (9 digit OSIS number)

Please email me at bergerj@nestmk12.net if you have trouble logging in.

10.1- Properties of Tangents Part 2

Today we did an investigation on external tangent segments.

Tonight's homework is P. 656 #21,23,25,29,34

If you missed our activity or need more explanataion, please see the following video, which explains the concept we learned today:
http://www.brightstorm.com/math/geometry/circles/tangent-segments-to-a-circle

10.1- Properties of Tangents Part 1

Today, we did an introduction to circles and began a study on the properties of tangents.

Tonight's homework is P. 655-656 #1-10, 13, 14, and 19

For practice on the vocabulary that we learned today, please see this animation: http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch10_pg655.html

Test Cancelled

For various reasons, I have decided to cancel our test this week.  Please complete the review sheet though.  We will begin our unit on circles tomorrow.

11.3- Perimeter and Area of Similar Polygons

Today we learned the relationship between the ratio of corresponding sides of similar polygons compared to the ratios of their perimeters and areas.

Tonight's homework is P. 740-742 # 5, 7, 12, 13, 17, and 28

You can see the gazebo question from class here: http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch11_pg739.html

Also, we will have our next cumulative test on Wednesday (Short Response) and Thursday (Multiple Choice).  It will be two days just to ensure that we have enough time to finish the whole exam, even though it will not take both full periods.  We will review the topics tomorrow in class.

11.2- Area of Trapezoids and Kites Investigation

Today we did an investigation on the area of trapezoids and kites and how they compare to the area of a parallelogram.  If you missed our activity today, please try it on your own from P. 729 of our textbook.

Also, check out the videos to see another demonstration of a derivation of these formulas:
http://www.brightstorm.com/math/geometry/area/area-of-trapezoids
http://www.brightstorm.com/math/geometry/area/area-of-kites-and-rhombuses

11.1- Area of Triangles and Parallelograms

As we begin Chapter 11, we will be exploring the area of various polygons.  Today we reviewed how to find the area of triangles and parallelograms.

Tonight's homework is P. 723-724 #3,7,13,17,23,27, and 30

Need more help?  Check out this animation:
http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch11_pg720.html
Or one of these videos:
http://www.brightstorm.com/math/geometry/area/area-of-parallelograms
http://www.brightstorm.com/math/geometry/area/area-of-triangles

Chapter 8 MORE Review

In an attempt to give you all more time to review the current chapter's material, please complete the following two activities on the classzone website, accessed here: http://www.classzone.com/cz/books/geometry_2007_na/book_home.htm
The Chapter 8 Crossword Puzzle found in the the Games and Puzzles section
and the Chapter 6 (Quadrilaterals) Assessment

For extra credit, please either email me a screen shot of your assessment results or print it out and hand to me tomorrow.  If you would like to email me, please email me at bergerj@nestmk12.net  If you email me at my DOE account, I will not be able to see it.  Thank you!

The Study Project will be due tomorrow for one day extension.  Please see me if you have any questions before the quiz tomorrow.

Chapter 8 Review

Today we compared the properties/characteristics of the different special quadrilaterals that we learned this unit. Please complete your Chapter 8 Study Project by Monday and the Chapter 8 Test on Page 564 #1-18 ALL.

See this link to vary videos if you are having trouble with any topics: http://www.brightstorm.com/math/geometry/polygons

Chapter 8 Study Terms are:
Polygon Interior Angles Theorem
Polygon Exterior Angles Theorem
Parallelogram
Ways to Prove a Quadrilateral is a Parallelogram
Rhombus
Rectangle
Square
Trapezoid
Isosceles Trapezoid
Kite

To check the answers to your homework, please look at the following.  You should see me in the morning or at lunch if you are still having trouble with the unit:
1) 118
2) 31
3) 71
4) Angles F and H are 110 degrees, Angles E and G are 70 degrees; consecutive angles are supplementary
5) No; the sides might not be parallel.
6) Yes, diagonals bisect one another
7) No; it could be a trapezoid
8) rhombus, square
9) rectangle, square
10) rectangle, square
11) parallelogram, rectangle, rhombus, square
12) PS is parallel to QR and SR is not parallel to PQ
13) a and b)many answers are possible
c) trapezoid, parallelogram, rectangle
14) Trapezoid; only one pair of opposite sides are known to be parallel
15) Rhombus; segment FH is perpendicular to segment EG.  The diagonals of a rhombus are perpendicular but you don't know that the angle measure of the vertices is 90 degrees
16) Kite; JKLM has a pair of consecutive sides and the angle is bisected
17) 1.25 cm
18) 9 cm, 12 cm

8.5- Trapezoids and Kites

Today we talked about two more special quadrilaterals: trapezoids and kites.  Please see the following videos for a recap of trapezoids and kites:
http://www.brightstorm.com/math/geometry/polygons/trapezoid-properties
http://www.brightstorm.com/math/geometry/polygons/trapezoid-midsegment-properties
http://www.brightstorm.com/math/geometry/polygons/kite-properties

Tonight's homework is P. 546-547 #5,9,11,16,19,25, and 31.
Check out this animation for more help with trapezoids and kites:
http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch08_pg545.html

8.4- Rhombuses, Rectangles, and Squares

Today we learned about the properties of special parallelograms: rhombuses, rectangles, and squares.  Each of these are parallelograms with more specific properties.

Tonight's homework is P. 537-538 #7,11,19,21,23,31,34,40, and 49

For more help with Special Quadrilaterals, see this animation:
http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch08_pg535.html

8.3- Proving a Quadrilateral is a Parallelogram

Today we talked about the reasons/ways that we can prove that a quadrilateral is a parallelogram.  This reasons can be used in a proof or to help you solve for missing measures of sides and angles in a quadrilateral.

Tonight's homework is P. 526-529 #5,9,11,18,19,40

Check out this animation for more help:
http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch08_pg527.html

8.2- Properties of Parallelograms

Today we discussed the properties of parallelograms.  These properties are fundamental in our study of quadrilaterals.  Please make sure you know these properties by tomorrow.

Tonight's homework is P. 518-519 #3,7,9,13,16,29, and 31

Check out this animation to review and explore the properties of parallelograms: http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch08_pg519.html

8.1- Angle Measures in a Polygon

Today we talked about the Polygon Interior Angles Theorem and a Polygon Exterior Angles Theorem as our introduction to Quadrilaterals.

Tonight's homework is P. 510-511 #3, 5, 9, 11, 15, 18, and 19

Midterm Review

Tomorrow and Friday, you will have a midterm.  Thursday is the Multiple Choice section of the midterm, and Friday is the Free Response portion of the midterm.  The midterm covers everything since the beginning of the year.  You should go through your study project and your past exams to study.  Good luck!

Here are some good resources for extra problems and videos on how to do various topics:
http://www.brightstorm.com/math/geometry
http://www.regentsprep.org/Regents/math/geometry/math-GEOMETRY.htm

Transformations Study Project

Please work on your Transformations Study Project this weekend.  It will be due on Wednesday.  Use this to help you study for your midterm.  Your midterm will be two parts on Thursday (Multiple Choice) and Friday (Short Answer) and will cover everything since the beginning of the year.

Ch. 9 Study Project Terms(10)

Transformation

Isometry

Translation

Reflection

Rotation

Dilation

Composition of Transformations

Line Symmetry**

Rotational Symmetry**

Orientation**

**We will go over these terms on Tuesday

Transformations: Composition of Transformations

Today we learned about the composition of transformations, which is when we combine two or more transformations.  Please note that when you see the function symbol (dot that looks like a multiplications symbol), that means that you perform the second transformation first and then the first transformation.

Tonight's homework is the Worksheet from class.  Please do #1,2,4,6,7,12, and 13 on the first page, and #2-8 evens starting on the second page.  Feel free to do the rest of the problems for additional practice.

For help on how to perform a composition of transformations, please see this video:
http://www.brightstorm.com/math/geometry/transformations/compositions-of-transformations

Transformations: Dilations

Today we learned about dilations, which are transformations that result in similar figures.

Today's homework is a worksheet that we received in class.  YOU DO NOT HAVE TO DO #17 and #18!  If you were absent, please go to eboard on the math/physics tab and download the "Dilations" document.
Also, if you were absent, please see the following video:
http://www.brightstorm.com/math/geometry/transformations/dilations

Transformations: Rotations

Today we learned how to rotate a figure in a coordinate plane.  You should know how to rotate a figure counterclockwise about the origin 90, 180, or 270 degrees.

Tonight's homework is to complete the worksheet from class, odd problems only.

Please watch the video to learn more about rotations:
http://www.brightstorm.com/math/geometry/transformations/rotations

Transformations: Reflections

Today we learned how to perform reflections over a line.  You should know how to reflect a figure over any vertical line, horizontal line, the line y = x, and the line y = -x.

Tonight's homework is the worksheet from class, and to finish your test corrections by Wednesday.  You may skip #3,8, and 11-15.

Please see the video on reflections for more information on reflections:
http://www.brightstorm.com/math/geometry/transformations/reflections

Transformations: Translations

Today we began our unit on Transformations.  The first transformation that we are learning about are translations.  This unit is supplemental to Chapter 9 in our textbook, so please copy someone's notes from class if you were absent today.

Tonight's homework is a worksheet that we passed out in class today.  If you were absent, please see me on Monday or whenever you return.  I will try to figure out a way to post the worksheets because this unit will be mostly done by supplemental worksheets.

This video introduces transformations and isometries:
http://www.brightstorm.com/math/geometry/transformations/transformations-and-isometries
This video teaches about translations:
http://www.brightstorm.com/math/geometry/transformations/translations

Chapter 7 Review

Today we reviewed Chapter 7 and some of Chapters 1-6.  Tomorrow we will review further.  For Chapter 7, you should know how to:

• Use the Pythagorean Theorem to Solve for the Missing Side of a Right Triangle
• Find the Area of an Isosceles Triangle, given its side lengths
• Use the Converse of the Pythagorean Theorem to Classify A Triangle as Acute, Right, or Obtuse
• Solve for missing sides of Similar Right Triangles by either setting up corresponding proportions or by using the Geometric Mean (Leg) Theorem or the Geometric Mean (Altitude) Theorem
• Know the Properties of Special Right Triangles and know how to simplify answers in simplest radical form
• Know how to apply sine, cosine, and tangent ratios to solve missing sides of a right triangle
• Know how to apply inverse sine, cosine, and tangent ratios to solve missing angles of a right triangle.

For homework, please complete the Chapter 7 Test on Page 498 #1-17 ALL problems.  Also, please complete the Chapter 7 Study Project.  You have a Cumulative Test on Chapters 1-7 on Thursday.
The Chapter 7 Study Terms include:

Pythagorean Theorem

Converse of the Pythagorean Theorem

Classifying Acute Triangles Theorem

Classifying Obtuse Triangles Theorem

Geometric Mean

Similar Right Triangles Theorem

Geometric Mean (Altitude) Theorem

Geometric Mean (Leg) Theorem

45-45-90 Triangle Theorem

30-60-90 Triangle Theorem

Tangent Ratio

Sine Ratio

Cosine Ratio

Inverse Trigonometric Ratios

7.7 Inverse Trig Ratios

Today we learned how to use the inverse trig ratios to help us solve right triangles.  To solve a right triangle means to solve for all missing angles and side lengths.

Tonight's homework is P. 485-486 #5,7,9,13,29

(sorry for the late post!)