Warm up dealt with finding the length of an arc. (see here for a video example--this will be on an upcoming assessment).
Then reviewed a large number of geometry terms using a paper plate circle: these terms included circumference, diameter, radius, chord, sector, semicircle, arc (major and minor), parallel lines, perpendicular lines, bisectors, congruent segments, alternate interior angles, corresponding angles, vertical angles, supplementary angles, central angle, inscribed angle, equilateral triangle, isosceles triangle, congruent triangles, similar triangles, dilation, tetrahedron, triangular pyramid, trapezoid, isosceles trapezoid, rhombus, parallelogram, truncated pyramid, icosahedron.
We then began to assemble the icosahedron.
Homework
Watch and take notes on the following video: (direct link)
Warm up with completing the square based on hw videos. Launch dealt with plugging points into a given equation to see if they made both sides of the equation true, then reviewed graphing equations on the calculator. Central question: how do you make the graph of a circle?
Looked at distance formula and applied it to center of (h,k) and point on circle of (x,y). This led to the development of the standard form of a circle equation. Then used voting eggs to practice finding center and radius with this pattern. Then wrote our own equations following model in the book.
Finally looked at completing the square to make equations "readable" and thereby finding the center and radius when in standard form.
Board notes
Homework:
p.395 #13-14 (GPE-1a)
p. 398 #10ab (GPE-1b)
Resources:
basic concept from class + example to help with #13 and 14 link
interactive tool to show equation of a circle: link
completing square for x and y to find standard form (like #10b) link
Warm up dealing with circle equation (2A) and arc length + sector area (others). Went over homework, then learned how to solve a circle equation for y to make it graphable and played around with it in the calculator. Played a quick "game" to make a circle from 3 random points.
Then looked at finding the exact center of a circle that passes through three points, Here is the procedure link
Homework:
Practice assessment (Real assessment is either Monday (b-day) or Tuesday (a-day)
blank copy here
solutions here
Resources
forthcoming