Today is our first block of the Rigid Transformation unit. If you have not finished or taken the Construction Unit Test, you need to come by and talk to me ASAP. Tests will be graded and viewed in class on Oct 24-25.
Rigid transformations bring together algebra and geometry in an interesting connection. Our big idea is that a rigid transformation in a plane creates an image that is congruent to the original pre-image (maintains distance and angle when moving).
We created notes from reading in class today (copy attached). We also did investigations 1 and 2 from pp 81-83 in the textbook. And we practice rotating 90 degrees on a grid.
All grades through HW #1 are caught up and posted. Check through HAC to make sure I have not made any mistakes.
HW #2 needs graph paper and a small piece of patty paper. You can print off graph paper by googling "graph paper PDF". Waxed paper or tracing paper will work for patty paper.
HW #2 - pp 85-86:1-14,21-23. It is OK to do the entire assignment on graph paper if you wish.
Quiz on Fri-Mon, 18 pts, at the end of class.

NO HOMEWORK DUE Monday or Tuesday!!!
Our Unit Test over constructions was taken in class on Thurs-Fri, Oct 18-19, Block 24. The test will be returned on Wed-Thurs next week.
If you have not taken the test yet, please do so during A&E on Tuesday, October 23.
The new unit is about Rigid Transformations and congruence as described by rigid transformations. We will be working hands on with graph paper, patty paper, and with technology to transform figures in the coordinate plane as well as "in the plane" with no coordinates. The Unit Test (60 pts) looks to be on Nov 5-6 (Mon-Tues) with one short quiz during the third block.
​Have a great weekend!

Review Assignment is HW #1: p 193:2-6, pp 196-8: 1,5,8-25, 27-28. 
Scroll down for much more information from today's block!

Next block is your unit test! If you were absent for this block, please come by during advisory today, Oct 17!!!
I am not going to describe class today. You can check the Daily Lessons tab if you need to look at the description of class from the board.
I am attaching as much stuff as I can to help you in preparation for the test.
THERE WAS A MISTAKE ON THE TOPIC LIST, highlighted in yellow on the first download option below. ALSO, YOU DO NOT NEED TO KNOW CONJECTURE NAMES OR NUMBERS, just know what is true and a related sketch.
The next download is a construction practice for obtuse altitudes, circumscribed and inscribed circles, with answers on the document.
The 3rd download is a copy of my Geometric Truth section for the unit.
The 4th download is answers to the review assignment from the DG Solutions Manual.
The 5th download is some extra notes on the points of concurrency.
The very last links are the geogebra files for C-12 and C-13. You would have to have Geogebra downloaded for the device on which you open the file. Go to geogebra.org to find what you need. On a computer, download Geogebra Classic.
Resources: mathopenref.com (6th last below), your returned quiz, your topic list (practice constructions, study geometric truth, go through everything listed on the topic list and make sure you know it) and your review assignment (with answers below).
Practice the cheer!

Test Thurs-Fri, Oct 18-19, topics attached, 70 pts.
Each class on A day had a slightly different class period due to testing on Wednesday.
Here are the basics of what we accomplished in each class:

• ​Except for 6th period, a grade was taken over either HW #15 or #16.
• 1st and 2nd worked on the investigation 3.7 in class. 1st period took the quiz; 2nd period finished the quiz. Investigation 3.7 is attached to Block 21 Post. 
• Classes that had not already done so did the Angle Bisector Investigation (p 165) as a class on square patty paper, leading to C-8: If a point is on the angle bisector it is equidistant from the sides of the angle. (This made a circle on the patty paper). The patty paper could be glued into GT if wanted.
• All classes went over assigned HW and asked questions or used keys to check answers.
• The Geogebra demonstration of the circumscribed and inscribed circles and why they work were shown on the screen, leading to C-12 and C-13. That page is attached to an extra post (next if you scroll down). The circumcenter is equidistant from the vertices of a triangle; the incenter is equidistant from the sides of a triangle. We will be able to explain why this follows from C-5 and C-8, respectively.
• Some classes did the centroid investigation on card stock; others did not. That will be completed in 1st and 2nd period on Tuesday.
• The centroid investigation is attached below. The conjectures 14-16 are on pp 190-192 in the new book. On #14 - the medians are concurrent at the centroid. On #15 the FITB is "Twice"; on #16, the FITB is "centroid". We will learn the cheer on Tues-Wed to associate the correct words with the correct construction.
• HW #16 or #17 depended on the class. 1st and 2nd period - finish investigation 3.7 (attached on Block 21) and writing up definitions of "Concurrent lines", "circumscribed circle", and C9-11 from the investigation. HW 16- p 167:11,13,17, p 171:3, p 175:1-3, p 187:1-3,5-6. HW #17 for 4th, 0b and 8th: p 168:15-16, p 173:17, p 176:6, p 187: 1-6,15. For 1-4 on p 187, just say which pt of concurrency with a sketch to explain.
• Test topics for Thurs-Fri, Oct 18-19, were passed out in most classes.

Here is a full page that has a snip of the geogebra constructions that I put on the screen today.
​

If you are in 1st or 2nd period, scroll down to the previous post for information about your class.
All others:
Construction quiz was taken in class today for 22 pts. It must be made up quickly if you missed the day before. I have a junior advisory and will not be available during A&E on Thurs. Lunchtime would be good. Let me know when you will take it.
We started with a "speed construction" warm-up. Students self-checked their worksheet, got a 5 pt grade on HW #15, and then shared good constructions from the warm-up. We went over the textbook part of HW #15 and had questions answered over the worksheet. There were lots of questions about the difference between median and altitude. CHECK YOUR DEFINITIONS AND SKETCHES IN YOUR GEOMETRIC TRUTH!
Also, you cannot "eyeball" a right angle. It must be constructed. Continue to use mathopenref (there is a link under "resources" tab for Pre-AP Geometry.
There was a handout before the quiz: it is an investigation over points of concurrency that leads you to some definitions and conjectures to write up from the book. Then there is a 7 problem homework at the bottom of the handout. 
The handout is attached below.

No first period class, so quiz will be on Friday. 2nd period will have two questions of the quiz on Friday. There was no homework for these two classes. We will be playing catch-up next time, so ignore the daily blog for the other classes.
If you want to download the investigation/homework on their blog post for Block 21, you might want to get started.

QUIZ NEXT BLOCK!! Similar to review worksheet HW #15! Topics handed out in class today and attached below!
Having finished filling up our tool belt in the last block, today was devoted to two things: beginning to get the differences between different constructions into our heads AND working more with triangles, the big applications of constructions in our curriculum.
We began by entering C-7 (shortest distance) from p 161 into our Geometric Truth, as well as the definition of altitude (p 162). Be sure to copy good sketches. We practiced a 90 degree angle at a point on a line, using it to also construct a 45 and 135 (HW #14, problem 6). We also construct squares by two different methods (given one side, or given one diagonal), which also constructed parallel lines; constructed angle bisectors in triangles; discovered that points on the angle bisector are equidistant from the sides of the angle, allowing us to construct a circle that touches both sides of the angle.
 A grade was taken on HW #13 for 4 pts.
Quiz topics were passed out, as well as homework #15 worksheet.  Add to your worksheet: p 166: 4, 7-10, 12, 20-24. Topics and worksheet and answers are downloadable below.
We did an investigation together to discover C-8: Every point on the angle bisector of an angle is equidistant from the sides of the angle. This was done on patty paper.  Can be glued into your geometric truth.
Use mathopenref when you have difficulties on any homework.

Today in class with finished our "tool belt", learning all the basic construction skills that we can then synthesize to construct all kinds of triangles, angles, and segments.
The tool belt:

•     Copy a segment (double, add, subtract)
• copy an angle (double, add)
• construct a daisy (regular hexagon)
• construct an equilateral triangle (or a 60 degree angle)
• perpendicular bisector of a segment (locates a midpoint) (also for medians, midsegments in triangles)
• angle bisector of an angle
• perpendicular from a point to a line (also altitude)
• Perpendicular from a point on a line (useful for right triangles and squares, etc.
  We added Conjectures 5 and 6 to geometric truth (p 156-7) and added p 158:10 to homework #13, also taking a grade on HW #13 for 4 pts. We then figured out how to bisect an angle, to construct a perpendicular from a segment to a line, what is an altitude in a triangle (look up in textbook) and how to construct it, and well as constructing a 90 degree angle on a line. Practice and answers to HW #13 are attached below. MORE HELPFUL: follow the link to the mathopenref constructions menu. Here are some relevant ones to view:
• Under lines: copy a segment, add or subtract segments, perpendicular bisector of a segment, perpendicular from an external point to a line, perpendicular from a point on a line. 
• Under angles: copy an angle, add or subtract angles, angle bisector
• Triangles: median, midsegment, perpendicular bisector, angle bisector                                                                         HW #14: p 162-3:2,4-6, p 166:5