first hour warm-up review second hour triangles third hour circles
TRANSCRIPT
Part 1 is for all: equations
Alternatives: van Hiele levels, mark a rope, prove Area formula
Operating on fractions
Warm-up
EquationsInvolve any 2 things set equal to each other
They usually include only 1 variable“Solve” means find the value of that variable that makes the equal sign true
When there is more than one variable, it is a formula and “solve for” means get that particular variable alone
Warm-up: Solving for…
“Are there names for 13-sided polygons and onward?”
Tridecagon (13)Icosagon (20)Chiliagon (1000)Myriagon (10,000)Megagon (1,000,000)Apeirogon (infinite)
Good past question
Right trianglesWhich kinds can they be?
Building – right angles from rope
Distance formula for a line (more on this in a few slides)
Triangles (continued)
Right triangles’ side lengths obey the Pythagorean Theorem:
(c is the hypotenuse!)
Triangles (continued)
The distance formula (for any line!) is based on the Pythagorean Theorem
THIRD PROBLEM SET
Triangles (continued)
Similar triangles…
Have the same angle sizes in the same order
Have corresponding sides whose ratios are equal
FOURTH PROBLEM SET
Triangles (continued)
Identify types of trianglesFind missing interior anglesFind areaFind perimeter
Find lengths of missing sides of similar triangles (still to come)
Triangles TASKS
Find length of a line on a coordinate plane (using the distance formula)
How could we find the halfway point along a line?
Lines NEW TASK
Are made up of points that are all the same distance from a center point
Have a radius (center to outside)
Have a diameter (all the way across)
Have a circumference (around outside)
Topic: Circles
Free throws – 1 hour recordFirst clip: http://www.youtube.com/watch?v=718ldCsCECk&NR=1
Second clip: http://www.youtube.com/watch?v=nLemV48N258
Third clip: http://www.youtube.com/watch?v=E6ziQNSETe4
Area:
SIXTH PROBLEM SET
Circles (continued)
Clip: http://www.youtube.com/watch?v=hDvaU-GyIYE
Circumference:
SEVENTH PROBLEM SET
Circles (continued)
Have chordslines from edge to edge
Have tangent linestouch edge only once
Have arcsportions of circumference
Have sectorsslices of pizza
Circles (cont'd)
Find the arc spanned by the Pacific Crest Trail
Clues:17o of latitudeEarth’s diameter:
12,742 km
http://upload.wikimedia.org/wikipedia/commons/0/02/Pacific_crest_trail_route_overview.png
Circles (continued)
Find areaFind area of a sector
Find circumferenceFind arc length
Find radius, diameter
Circles TASKS
Nature by numbershttp://www.youtube.com/watch?v=kkGeOWYOFoA&feature=related
(no need to mute the music)
Good video…