Took assessment on basics of proof and parallel line relationships and how to prove lines parallel in the Euclidean plane. Finished angle chases from last week.
Homework:
[CO-A2a] Watch and take notes on the video here: direct link
Passed back assessments and went over proof problems using peer experts. Note that CO-C9a and CO-C9b will be tested again in class as part of the 9/26 assessment, so you are encouraged to study and wait until that required retest. All other skills should be retaken in DS.
Discussed the transformation video from the previous night and then looked at applications of transformations in a variety of art and technology forms including symmetry in art, graphic design and vector graphics, and Snapchat filters. Looked at a "spot the difference" pair of pictures to establish the definition of congruence in terms of isometries (rigid motions). Applied this definition in a Cartesian example, moving a rectangle on the coordinate plane. Then practiced how to develop a rule for 2 transformed figures. Worked on homework in class for significant time.
Notes from board
Homework
Complete handout on transformations [blank copy here]
{CO-A5a, CO-A2a]
Resources
translating a figure on the coordinate plane: link
reflecting a figure across x or y axis: link
reflecting across various lines: link
write a rule for a translation: link
First warm-up was another angle chase involving parallel lines and triangles. Second warm up dealt with how to prove that a particular pair of overlapping triangles' angles were congruent. Went over homework on transformations and introduced the idea of vectors including vector notation and how to calculate the magnitude of a vector. Then handed out "Transformation Exploration" packet dealing with translations and reflections on the coordinate plane as a model for how basic graphics engines are coded in software and video games. Will continue this next week.
Notes from board
Homework
Assessment on Monday: covers transformations similar to HW worksheet we went over today + basics of proof + line proofs (see below for resources)
p. 119 #20-24 [CO-A4a]
HINT for 20: the coordinates of the arrow tip before reflection are (0,3). The coordinates for the tail of the arrow before reflection are (4,3). Plug these into each rule in parts a, b, and c to assist with drawing the shapes.
Resources
see hint above for hw help
Assessment study resources:
Converse and contrapositive: link
proving vertical angles congruent: link
finding all the angles in a parallel set cut by transversal: link
proving lines parallel: link
last week's practice assessment [blank copy here] [solutions HERE]
translating a figure on the coordinate plane: link
reflecting a figure across x or y axis: link
reflecting across various lines: link
write a rule for a translation: link