Geometry
Ms. Bogart's Geometry Class
  • About
  • Contact
  • Pre AP Geometry
    • Pre-AP Geometry Daily Blog
    • Pre-AP Daily Lessons
    • Pre-AP Important Links and Forms
    • Look for resources
  • Geometry
    • Daily Lessons
    • Geometry Daily Blog
    • Look for resources
  • PSAT math BOOT CAMP
    • Copies of notes/handouts
    • Answers to problem sets
    • Link to set up Khan account
  • psat ela boot camp

Block 18, 1st semester, Oct 3-4

10/4/2017

0 Comments

 
This block our topic was "perpendicular bisector". 
We started with p 65:22 - a problem from a previous unit that asks us to locate several points in the coordinate plane that would make an isosceles triangle with the segment in the book. In other words: several points that are equidistant from the endpoints of segment RY.  Connecting 5 of these points allowed us to locate the perpendicular bisector of RY.
What is a perpendicular bisector?  A line that passes through the MIDPOINT of a segment at a RIGHT ANGLE. We discussed the difference between this and just a segment bisector (passes thru midpoint at any angle). See good sketches on p 147. We did the investigations on pp 147-8 to discover that points on the perpendicular bisector are equidistant from the endpoints of a segment, AND just like the warm-up: if a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector.  This converse was used to discover the actual construction for perpendicular bisector.
After sharing good homework and measuring our answers for accuracy, we looked at medians on p 149 and made up a definition based on the sketch.  None of our definitions or conjectures got written up today.
We then made triangles with a straightedge and practiced constructing perpendicular bisectors of the sides, as well as locating a median after this construction (use perpendicular bisector to find the midpoint, connect back to a vertex of the triangle with a ruler).
HW #12: pp 149-50: 1-4, 7-8
We also viewed tests (except 3rd, which got new seats).
Link to mathopenref is in the post below this one.
0 Comments



Leave a Reply.

    Author

    Ms. Bogart
    This blog will include downloads for handouts and links to resources as needed.

    Archives

    April 2018
    March 2018
    February 2018
    January 2018
    December 2017
    November 2017
    October 2017
    September 2017
    August 2017
    May 2017
    April 2017
    March 2017
    February 2017
    January 2017
    December 2016
    November 2016
    October 2016
    September 2016
    August 2016

    Categories

    All

    RSS Feed

Powered by
✕