Passed back assessments and looked at most commonly missed problems and discussed some others in groups. Discussed the growth mindset and how it relates to this grading system, and the mechanics of how and when to do a retake and navigating Powerschool (Details on all of this is here: mgeo.weebly.com/sbg) Continued the perpendicular bisector construction from last week and extended it to construct the circumcenter and circumcircle.
Notes from board
Detailed explanation of grading system
Homework
p. 49 #1-3, 10, 17-19
Next assessment is Sept 5 (A) or 6th (B)
Resources
constructing a perpendicular bisector: link
segment addition postulate and angle addition: link
midpoint and segment addition: link
midpoint and number line: link
another midpoint example: link
angle addition algebra: link
Warm up was a segment addition algebra problem similar to the video from the weekend and the previous night's homework. Went over homework, then learned some new notation for perpendicular and congruence, as related to midpoints and the perpendicular bisector. Then used the compass and straight edge to construct a square with a given side length (see here for steps). Then learned and practiced the process of bisecting an angle.
Looked at the Pythagorean Theorem along with some fun musical theater, along with a water demonstration and a rearrangement proof. Saw how Egyptians used knotted ropes to create right angles with knowledge of the Pythagorean Theorem to aid in their construction of the legendary pyramids, and then introduced the idea of Euclidean vs Cartesian geometry (the former being on a blank plane without set measurement or length and the latter being on a numerical grid). Connected these two ideas with the Pythagorean Theorem which in turn became the Distance Formula. Worked some examples of using the distance formula.
Notes from board
Homework
p. 59 #1,2,8-12
next assessment is 9/5 or 9/6
Resources
how to bisect an angle with compass and straight edge: link list of steps
distance formula, straightforward example: link
distance formula example, application problem (no need to reduce radical) link
Warm up dealt with using distance formula. Went over homework, then did the classic ladder problem with the Pythagorean Theorem and saw the connection between the distance formula and Pythagorean theorem. Applied both to find the perimeter of a triangle, then did an applied problem to find the cost of surveying along the perimeter of a park using a scale map. Finally closed with looking at the idea of midpoint in the coordinate plane and how this relates to the idea of averaging.
Notes from board
Homework
Complete the practice assessment [blank copy] [SOLUTIONS]
Study for assessment, on Tues or Weds
Resources
video showing how to construct a perpendicular bisector: link list of steps
how to bisect an angle with compass and straight edge: link list of steps
midpoint of a segment with algebra to find length: link
perimeter of shape on coordinate plane, Pythagorean Theorem method: link link 2
perimeter of triangle on coordinate plane, distance formula method: link link 2
using the midpoint formula: link
using the distance formula: link
angle relationships: link