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First hourReview
Triangles
Second hour
TrianglesDistance
Third hourCircles
Agenda for today
Where did the SIA formula come from? (“Why do we subtract 2 from n?”)
Your questions
“Are there names for 13-sided polygons and onward?”
Tridecagon (13)Icosagon (20)Chiliagon (1000)Myriagon (10,000)Megagon (1,000,000)Apeirogon (infinite)
Your questions
Hand back check-in forms so folks can see the feedback
Complete FIRST PROBLEM SET
Your questions
Nature by numbershttp://www.youtube.com/watch?v=kkGeOWYOFoA&feature=related (no need to mute the music)
Quick video…
Fibonacci spirals
What are the different types?
Topic: Triangles
Isosceles Right Scalene Equilateral
Triangles (continued)
SIA?Area:
Perimeter:
(Complete SECOND PROBLEM SET)
Triangles (continued)
Uses of right triangles
Babylon – 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:
Triangles (continued)
The distance formula (for any line!) is based on the Pythagorean Theorem
(Complete THIRD PROBLEM SET)
Triangles (continued)
Similar triangles…
Have the same angle sizes in the same order
Have corresponding sides whose ratios are equal
Complete FOURTH PROBLEM SET
Triangles (continued)
Identify types of trianglesFind missing interior anglesFind areaFind perimeter
Find lengths of missing sides of similar triangles
Triangles TASKS
Find length of a line on a coordinate plane (using the distance formula)
And now, a toast to triangles…
Lines NEW TASK
Are made up of points that are 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:
Complete FIFTH PROBLEM SET
Circles (continued)
Clip: http://www.youtube.com/watch?v=hDvaU-GyIYE
Circumference:
(Complete SIXTH PROBLEM SET)
Circles (continued)
Find area
Find circumference
Find radius, diameter
Circles TASKS
Complete the REVIEW SETS
Do your check-in
Reminders:EXAM, Thursday August 6PROJECT, Tuesday August 17
For the rest of the meeting…