Passed back assessments and went over how grades and retakes work. Click here for explanation. Started and/or finished the 'temple task' relating to applying the Pythagorean theorem on the coordinate plane. This led to the distance formula, which is just the Pythagorean theorem on the cartesian plane.
Notes from board
Homework
p. 59 #4-12
Resources
distance formula, straightforward example: link
distance formula example, application problem (no need to reduce radical) 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
Warm up was to find the perimeter of a rectangle on the coordinate plane using either the distance formula or the Pythagorean Theorem. Went over homework, then reviewed the distance formula in more depth using decimals, which is where the counting method for making triangles is difficult (and time consuming if no graph is provided). Then developed the midpoint formula through a 'karate chop' activity and saw that the midpoint of 2 points is simply the average of the x's and the average of the y's for the ordered pair. Finally reviewed constructions by making both an equilateral triangle and then 2 perpendicular bisectors, which led to the creation of a circumcircle.
Notes from board
Homework
p60 #15-20
(note: when a question asks "What is AB?" it is asking for the length)
Resources
circumcircle construction from class: link
midpoint and number line: link
another midpoint example: link
using the midpoint formula: link
find an endpoint given one endpoint and a midpoint: link
Warm up was to determine whether a given figure was a rhombus using numerical evidence, as well as finding the midpoints of the 2 diagonals. Went over homework, then reviewed last several weeks of geometry foundations knowledge, building on that with discussion of the segment addition postulate. Worked through 2 straightforward examples and one challenging one involving overlapping segments. Then worked in groups to solve 'riddles' which helped to review angle sets and angle pairs.
Notes from board
Homework
try the practice assessment, (skip #2) then check solutions: (blank copy) (SOLUTIONS)
real assessment is on Tuesday (A) or Wednesday (B)
Resources
video showing how to construct a perpendicular bisector: link list of steps
video showing how to construct an equilateral triangle: link
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