Graph the numbers on the number line below. Bellringer 8/15/16 Graph the numbers on the number line below. 28 169 60 90 225

SOLUTION Bellringer 8/15/16 Graph the numbers on the number line below. 28 60 90 169 225

Smallest square’s area Using the squares make as many right triangles as you can. Record the results in your comp book. Smallest square’s area Medium square’s area Largest square’s area

Pythagorean Theorem

https://www.youtube.com/watch?v=uaj0XcLtN5c&safe=active

Water Wheel Proof of Pythagorean Theorem https://www.youtube.com/watch?v=CAkMUdeB06o

Geotube Applet 1 Geotube Applet 2

https://www.youtube.com/watch?v=PrjTkWGLk2Q&safe=active

Foldable

Notes Legs Hypotenuse Formula

Notes legs Hypotenuse Formula

Ex 1: Given the sides, use Pythagorean Theorem to prove or DISPROVE this is a right triangle? 12 cm, 35 cm, 37 cm

Ex 2: Given the sides, use Pythagorean Theorem to prove or DISPROVE this is a right triangle? 14 in, 12 in, 6 in

Ex 3 Highlight the hypotenuse 7 24 c

Ex 4 Highlight the hypotenuse 4 5 c

Ex 5 Highlight the hypotenuse 5 7 x

4 Ex 6 Highlight the hypotenuse 128 y

Solo Practice Sheet for a grade #1-10 odd

Two airplanes leave the same airport at the same time Two airplanes leave the same airport at the same time. The first plane flies to a landing strip 350 miles south, while the other plane flies to an airport 725 miles west. How far apart are the two planes after they land?

as many Pythagorean Triples as you can in 5 minutes. Using popsicle sticks and a protractor build as many Pythagorean Triples as you can in 5 minutes. Remember-use the protractor to check for a right angle!

Triples (3, 4, 5 ) (5, 12, 13) (8, 15, 17) (7, 24, 25) (20, 21, 29) (12, 35, 37) ( 9, 40, 41) (28, 45, 53) (11, 60, 61) (16, 63, 65) (33, 56, 65) (48, 55, 73) (13, 84, 85) (36, 77, 85) (39, 80, 89) (65, 72, 97)

Pythagorus Tree

Spiral project http://www.ehow.com/how_4621697_spiral-pythagorean-theorem.html

Spiral project https://www.youtube.com/watch?v=kr6aMWueLrk https://www.youtube.com/watch?v=9G0NiB0-koM

Pythagorean Theorem Jeopardy

Pythagorean Math Tasks choose 1 to work in your group   1. Frank Rd and James Rd. make a perpendicular intersection. The state wants to build a new road. The new road will intersect 3 miles north of the intersection on Frank Rd. and 4 miles west of the intersection on James Rd. How long will the new road be that intersects Frank and James Rd? The new road would cost $10 per foot to pave. What would be the cost of the new road? 2. The mobile phone company is anchoring wires to the top of their 1200 ft high communication towers. The cable for the support wire comes in a roll that is 3900 ft long. The company requires you to use the entire roll. The cable can only be cut twice to ensure its strength. All cables need to be equal. How long will each cable be and how far from the base of the tower do they need to be anchored? 3. In the city planning meeting, a scale drawing of a park was drawn. The park fills inside a square city block. The scale was 3 inches equal 3/10 miles. One side of the city blocks was 4 inches in the drawing. One member of the city planners said, " There needs to be a short cut through the park from the corners." How long in miles will the short cut be? Round answers to the nearest tenth of a mile. 4. You are planning to put a new digital flat TV on a wall that is 12 ft long and 9 ft high. The digital TV has a diagonal of 72 inches. The length of the TV is twice the width of the TV. How much of the wall will still need to be decorated around the TV?

Pythagorean Math Tasks Solutions Answers   5 miles long cost $264,000 1300 ft cables, 500 ft from the tower about 6/10 miles 32.2 sq in width rounded to 3 ft 64.3 sq in length rounded to 5ft total area for TV is 15 sq ft remaining area around TV is 93 sq ft.