Took a practice assessment reviewing concepts learned before spring break. Reviewed area of a circle reasoning, looking at these videos: rectangle method triangle method
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Here are the answers (not solutions; will show those in class Tues/Weds): link
Finish practice assessment; real assessment next class
see answers above
Resources
Find the equation of a circle from diameter points (like #1) link
Complete the square to find center and radius of circle and graph (like #2 and 3) link link 2 (first 5 mins)
Area of a circle formula: why it works (like #4) rectangle method triangle method
Angles formed by crossing chords (like #5) link
Angle formed by tangents/circumscribed angle (like #6) link
Cyclic Quadrilateral/inscribed quad angles (like #7) link
Find circumference from arc length and measure (like #8) link
Went over practice assessment solutions and answered questions if needed. Took real assessment and worked on a pair of challenge problems when finished.
Introduced a brand new way to think about angle measure: rather than degrees (since 360 is arbitrary and has no mathematical basis), we talked about the radian and how it comes from the following:
Then introduced the basics of 3D geometry and shapes defined by their cross sections. Watched this video (link) and then looked at this work of art (link) before doing a clicker activity identifying cross sections.
Notes from board
Homework
p. 475 #1,3,9, 14, 15 (C-B5c)
Resources
Find radius from sector area (#9) link
Radian and Degree conversions (#14 and 15) link
Debriefed assessment using peer experts. Went over homework, then continued discussion on cross sections and 3D shapes: identified cross sections from solids and introduced the concept of a prism (stretched version of a flat shape with 2 bases) and a pyramid ("pinched, pulled" version of a flat shape with 1 base) and contrasting features of each (Prisms have rectangular faces, Pyramids have triangular faces). We explored these concepts on whiteboards and hand-held manipulatives.
(Friday: we also looked at this video: link)
Also examined solids of revolution which shows the result of revolving a flat shape around an axis to produce a solid. We were able to sketch the resulting shape after such a revolution and also draw the formative shape that would create a given solid.
Notes from board
Homework:
p. 493 #4 ,7 ,8, 9, 13, 14 [GMD-4a and 4b]
Next assessment on Tues/Wed: Covers these skills: LINK
Resources
basics of cross sections: link 1 link 2
prism vs pyramids: link
solids of revolution: link