2.6- Prove Statements about Segments and Angles

Today we began writing proofs about the congruency of segments and angles.  Please remember that writing proofs takes practice because forming a logical argument does not always come easily to many of us.  Do not discouraged, and know that we will be writing many proofs about many geometric concepts throughout the year.

Tonight's homework is P. 116-119 #4, 12, 16, 17, 18, 22, 31

Please try the animation for more practice: http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch02_pg119.html

2.5- Reason using Algebraic Properties

Today we learned how to use Algebraic Properties to apply deductive reasoning to form logical arguments.  We learned the Addition Property, Subtraction Property, Multiplication Property, Division Property, Substitution Property, Distributive Property, Reflexive Property, Symmetric Property, and the Transitive Property.  Please practice these properties because we will use them throughout the school year.

Tonight's homework is P.109-111 5,9,14,17,21-25,33,39 and we have a QUIZ tomorrow on sections 2.1, 2.2, 2.4, and 2.5 in the textbook.

Please do practice 2.5 in the eworkbook http://www.classzone.com/cz/books/geometry_2007_na/resources/htmls/ml_hsm_geom_eWorkbook/index.html
and do the section quizzes to prepare for the quiz tomorrow.
http://www.classzone.com/cz/books/geometry_2007_na/page_build.htm?id=resources/applications/oltp/ny/online_test_practice&qtype=section

2.4- Use Postulates and Diagrams

Today we learned about how to apply postulates about point, lines, and planes to interpret and sketch diagrams.

Tonight's homework is P. 99-102 #3,4, 6-24 all, 46, and 47

Please visit Section 2.4 in the eworkbook for more practice: http://www.classzone.com/cz/books/geometry_2007_na/resources/htmls/ml_hsm_geom_eWorkbook/index.html

Your next quiz will be on Sections 2.1, 2.2, 2.4, and 2.5 on Wednesday, September 29.

2.2- Analyzing Conditional Statements

Today we learned about conditional statements, including the converse, inverse, and contrapositive of a statement and whether or not it can be written as a biconditional statement.  These concepts will be reviewed throughout the year and applied to theorems and definitions and proofs that we will learn in Geometry this year.

This weekend's homework is P. 82-85 #3-15 odds, and 19-27 odds.  Also, your Geometric Construction Book Part 1 is due on Monday.  Please review the directions and look at P. 33-34 in your textbook for further help with creating the required constructions.

Please use this animation to help you analyze conditional statements: http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/2_1_2.html

2.1- Inductive Reasoning

Today we described patterns and made conjectures using inductive reasoning.

Tonight's homework is P. 75-78 #7,13,15,21,29,39,40

Visit the animation for this lesson for more information: http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/g7_1_1.html

1.7- Perimeter and Area of Polygons and Circles

Please review the formulas for area and perimeter of rectangles, triangles, and circles.  Today, we applied the distance formula to find the perimeter of polygons.

Tonight's homework is P. 52-55 #5,7,13,17,19,21,25,31,35.

For extra help with today's lesson, please use the @Home Tutor for the lesson: http://www.classzone.com/cz/books/geometry_2007_na/resources/htmls/athometutor/media/lessonmenu.html?chapter=1&lesson=7&state=NY
Please review chapter one vocabulary, by using the flashcards found here: http://www.classzone.com/cz/books/geometry_2007_na/get_chapter_group.htm?cin=1&ci=1&rg=games_and_activities&at=math_Vocabulary_flipcards&var=math_vocabulary_flipcards
Then complete this crossword puzzle: http://www.classzone.com/cz/books/geometry_2007_na/crossword.htm?id=xword_ch1

Geometric Construction Book Part 1

Today we learned about our Geometric Construction Book Project.  We learned how to do the first four constructions: copy a segment, bisect a segment, copy an angle, and bisect an angle.  Please know that for you book, you need to draw the construction and write detailed step-by-step instructions on how you made the construction.  For help, you can see P. 33-34 in your textbook.  The first part of the construction book is due on Monday, September 27, 2010.

1.6- Classifying Polygons

Today we reviewed/learned different ways to classify polygons.  Please be sure you know what a polygon is, how to name them, the difference between convex and concave polygons, equilateral, equiangular, and regular polygons.

Tonight's homework is P. 44-45 #3, 5, 7, 11, 13, 17, 29, and 37

Check out this PacMan animation to practice classifying polygons http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/6_1.html

1.4 and 1.5 Angle Classification and Angle Relationships

Today we reviewed various angle classifications (acute, obtuse, right, straight) and learned new angle relationships (congruent, complementary, supplementary, linear pairs, and vertical angles).  These are fundamental to geometry and we will continue using these throughout this year.

This weekend's homework is P. 29-30 #21-47 odds only, AND P. 39-40 #9-42, every 3rd problem (ie.9,12,15,18, etc).

If you do not know how to use a protractor or need a review, please visit this animation: http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/g6_9_2.html

1.3- Midpoint and Distance Formulas

Today we investigated how to find the midpoint and length (distance) of a segment given its endpoints.  Please recall the use of averages and the pythagoren theorem when using the formulas.

You homework is P. 19-22 #3-48, every third problem (ie. 3,6,9,12, etc.) and problems 55-57 on the same page.

Visit the animation for more information: http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch01_pg21.html
Also you can see section 1.3 problems here:
http://www.classzone.com/cz/books/geometry_2007_na/resources/htmls/ml_hsm_geom_eWorkbook/index.html
And quiz yourself for understanding!
http://www.classzone.com/etest/viewTestPractice.htm?testId=4479

1.2- Segment Congruency

Today we learned the difference between segment length equality and segment congruency.  Please be sure you understand that equality pertains to numerical measurements and congruency pertains to geometric figures.  Also, be sure to know the correct symbols and notations for each.  Please see the below resources for extra help.  Even though we did not go over it in class today, you are also expected to know how to use a ruler to take measurements of segment lengths.

Tonight's homework is P. 12-13 #1,8,10,16,19,24,26,33.  Remember to show work when applicable and be aware that homework is graded mainly on effort.  Copying or cheating benefits you in no way.  Understanding the concepts are infinitely more important than getting a good homework grade.  If for whatever reason you are unable to complete your homework on a given night, please just do it for homework the next night- do not copy someone's homework.  Help us to maintain the academic integrity of this course.

Visit this animation for extra practice on today's topic: http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch01_pg14.html
Also, you can visit section 1.2 workbook for more practice problems.  http://www.classzone.com/cz/books/geometry_2007_na/resources/htmls/ml_hsm_geom_eWorkbook/index.html
Want to see how you would do on a quiz on today's lesson? Take one here: http://www.classzone.com/etest/viewTestPractice.htm?testId=4479

Lesson 1.1- Points, Lines, and Planes

Today we learned the undefined terms of points, lines, and planes and did an investigation on the intersection of lines and planes.  Please make sure you know the correct way to NAME the various geometric figures that we learned today.

Your homework is to complete textbook P. 5-8 #1-22 ALL, and 28-38 EVENS.  Please sign up at our textbook website http://www.classzone.com/cz/books/geometry_2007_na/book_home.htm?state=ny if you haven't already done so to sign up for a student account.  Please use the activation code: 4966580-10 to access your online copy of our textbook.  Visit the animated math section and complete animation 1.1 for more practice on today's lesson!

Please remember that all math supplies should be brought into school tomorrow.  You may leave your index cards at home until I tell you when we will start using them.

Welcome and Syllabus

Hello my new 8th grade class!  Welcome to our Geometry blog, where you can check my daily post to find homework and anything I may have forgotten to mention in class that day.  Today you got your syllabus which you should go over with your parents and sign it and bring it back tomorrow.

Please note that on the syllabus, I posted important websites that you should visit frequently and whenever you need help in this course.  Please check this blog regularly and become familiar with how to find older posts (to the archive on the right, listed monthly).  Also, please visit our textbook website: http://www.classzone.com/cz/books/geometry_2007_na/get_center_home.htm?rg=quick_reference
Create a student account and enter the following activation code: 4966580-10 to access the online copy of our textbook.
For your reference, I have posted an additional website for your use of Regents prep: http://www.regentsprep.org/Regents/math/geometry/math-GEOMETRY.htm
Feel free to visit this site for additional help with anything Regents related.

If you have any questions, feel free to comment on this blog or send me an email at jberger6@schools.nyc.gov
Have a great first full week of school!