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…