First hourWarm-upReview

Second hourTRIANGLES

Third hourCIRCLES

Agenda for today

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…

1) Solve for X in this equation

2) Solve for X in this equation

Warm-up: Solving for…

3) Solve for B1 in this formula

Warm-up: Solving for…

From last time: adding

From last time: subtracting

From last time: multiplying

From last time: dividing

New fractions problems

“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

Hand back check-in forms so folks can see the feedback

FIRST PROBLEM SET

Your questions

What are the different types?

Topic: Triangles

Isosceles Scalene Equilateral

Triangles (continued)

SIA?Area:

Perimeter:

SECOND PROBLEM SET

Triangles (continued)

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

Find the area of a kite

Find area of a cyclic

FIFTH SET

Quadrilaterals 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)

To find a part (arc, L)of the circumference:

Circles (continued)

To find the area ofa sector:

Circles (continued)

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

Complete the REVIEW SETS

Do your check-in

For the rest of the meeting…

Nature by numbershttp://www.youtube.com/watch?v=kkGeOWYOFoA&feature=related

(no need to mute the music)

Good video…

Fibonacci spirals

Just a DreamBoards of Canada – Music is Math

“I don’t care”?

Tunes