Went over homework in collaborative groups. Took assessment over logical reasoning/statements/proof/review.
Homework: Watch and take notes on the following video:
https://www.youtube.com/watch?v=YBeXhGl6pSE
Finished going over the homework from the weekend by presenting results. Used clicker eggs to answer questions related to the distance formula and the Pythagorean theorem. Discovered the midpoint formula in a discovery activity. Applied the midpoint to a real-world problem on a map.
Homework: p. 61-62: #1-3 (Embedded Assessment 2) (GPE-B6a)
Resources:
Midpoint formula example: https://www.youtube.com/watch?v=1Hf_bWSQsuc
Midpoint applet/tutorial: http://mathopenref.com/coordmidpoint.html
Distance applet/tutorial: http://mathopenref.com/coorddist.html
Warm up dealing with ratios vs fractions and finding a midpoint. Collected Embedded Assessment #2 after answering some questions on it. Then examined the basics of rise, run, and slopes and how the midpoint interacts with these concepts on a line segment. Most of class was spent on a collaborative activity involved with finding points along a line segment on the coordinate plane that divided the segment into precise ratios. The key insight is to realize that the rise (delta y) and run (delta x) can be multiplied by equivalent fractions to produce the change needed to arrive at new coordinates. (GPE-B6a)
Homework: none; assessment on Tuesday/Weds. of next week. Will include midpoint and distance formulas, angle and segment addition with algebra, Pythagorean theorem with distance, and review.
Resources:
review of ratios and then coordinate partition example: https://www.youtube.com/watch?v=1kKm41MKLHI
similar to class activity, partition segment by fraction and ratio methods: https://www.youtube.com/watch?v=ceUbR7THrVI
related concept to ratio partitioning, in one-dimension: https://www.youtube.com/watch?v=PDkm6F_nFRE