Bellringer 8/31/17

Select all equations that could be used to find the missing side of the triangle.

Bellringer 8/31/17 𝑎 2 + 𝑏 2 = 𝑐 2 35 2 + 𝑏 2 = 37 2 c 1225+ 𝑏 2 =1369 -1225 = −1225 a This is a LEG! 𝑏 2 =144 𝑏 2 = 144 b=12

Agenda Learning Target ~Summary of weekly learning ~Error Analysis ~Pop Quiz ~PT on coordinate plane Learning Target 8.G.B.8 I can apply the Pythagorean Theorem to find the distance between two points in a coordinate system. 8.G.B.7 I can draw a diagram and use the Pythagorean Theorem to solve real world problems involving right triangles.

3 Things to Know IS THIS A RIGHT ? FIND THE MISSING SIDE 15 3 Things to Know 15 8 15 m 15 9 12 20 Y IS THIS A RIGHT ? FIND THE MISSING SIDE WHEN A LEG IS MISSING. FIND THE MISSING SIDE WHEN THE HYPOTENUSE IS MISSING.

Bellringer 8/26/15 https://www.youtube.com/watch?NR=1&feature=endscreen&v=BbX44YSsQ2I

Error Analysis Agenda 17 b 8 PT on coordinate plane PT word problems (Modeling a Task) 17 b 8

Error Analysis Agenda 17 b 8 PT on coordinate plane PT word problems (Modeling a Task) 17 b 8

Error Analysis Agenda 17 b 8 PT on coordinate plane PT word problems (Modeling a Task) 17 b 8

Error Analysis Agenda 17 b 8 PT on coordinate plane PT word problems (Modeling a Task) 17 b 8

Error Analysis Agenda 17 b 8 PT on coordinate plane PT word problems (Modeling a Task) 17 b 8

POP QUIZ TIME!!!!!!!

What do the tiles remind you of? Look at the floor What do the tiles remind you of?

Right Triangles on the Floor -Teams of 4 -2 People are "points" -Estimate the distance between them -3rd Person will make the triangle -4th person counts off the tiles and calculates dist. -Repeat x3 -Record distances and triangles in your notebooks

How far apart are the points?

Coordinate Plane Review origin x-axis y-axis coordinates ordered pair

Coordinate Plane http://www.mathplayground.com/locate_aliens.html

Coordinate Plane Review y-axis ABC order X runs left to right Y runs up and down origin x-axis 2 (x, y) -3 (2, -3) coordinates ordered pair

Distance using Pythagorean Theorem

Distance using Pythagorean Theorem

Solo Time

Check Sum 4.1 5.0 10.0 +14.0 33.1 Round each ans. to tenths and add up http://tube.geogebra.org/m/136191

Check Sum Round each ans. to hundredths and add up http://tube.geogebra.org/m/136191

Finish your coloring activity Solo Time p. 435 #1-3 (basic) #8 p. 438 #20-21 p. 440 #1-6 Finish your coloring activity

Bellringer 8/18/16 A B C D

Bellringer 8/18/16 A B C D

Agenda Learning Target *Finish Textbook work and check. *Tasks PT in real world *Error Analysis *Review Game for test tomorrow Learning Target 8.G.B.8 I can apply the Pythagorean Theorem to find the distance between two points in a coordinate system. 8.G.B.7 I can draw a diagram and use the Pythagorean Theorem to solve real world problems involving right triangles.

Finish your coloring activity Solo Time p. 435 #1-3 (basic) #8 p. 438 #20-21 p. 440 #1-6 Finish your coloring activity

p. 435 #1-3 (basic) #8

p. 438 #20-21

p. 440 #1-6

Error Analysis *Highlight the mistake in each solution. *Describe the error. *Solve this problem correctly.

Bellringer~ Error Analysis 8/27/15 *Highlight the mistake in each solution. *Describe the error. *Solve this problem correctly. 5 is the hypotenuse, and they subs. As a side in the formula. 3 squared isn’t 6 it is 9 Just subtracted sides-formula requires sides to be squared The sqrt of 16 is 4 not 8

Graph on a grid and calc distance Using Pythag Theorem R(-4, 5) and Q(8, -2) Show calculation!! http://tube.geogebra.org/m/136191

Graph on a grid and turn in for grade: R(-4, 5) and Q(8, -2) http://tube.geogebra.org/m/136191

Math Task Challenge Your team will be solving various tasks. You need to sketch a picture and label it accurately. Then, apply the Pythagorean Theorem to solve. Finally, make any adjustments (measure conversions, etc.) and do a quick write of 1-3 sentences explaining the solution.

Math Task Challenge 2nd   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 $10,000 per mile to pave. What would be the cost of the new road?

Math Task Challenge 2nd Block   2. 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?

Math Task Challenge   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?

Math Task Challenge   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?

Math Task Challenge   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.

Math Task Challenge   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?

2. 64.3 sq in length rounded to 5ft total area for TV is 15 sq ft Pythagorean Math Tasks Solutions Answers   5 miles long cost $50,000 2. 64.3 sq in length rounded to 5ft total area for TV is 15 sq ft remaining area around TV is 93 sq ft.

2. 1300 ft cables, 500 ft from the tower about 6/10 miles Pythagorean Math Tasks Solutions Answers   5 miles long cost $264,000 2. 1300 ft cables, 500 ft from the tower about 6/10 miles 3. 32.2 sq in width rounded to 3 ft 4. 64.3 sq in length rounded to 5ft total area for TV is 15 sq ft remaining area around TV is 93 sq ft.

Be sure to have your calculator with you! Bellringer 8/19/16 On the coordinate plane: graph the points (-3, 4) and (5, -2) Find the distance between the two points. Be sure to have your calculator with you!

Homework  Pencils on floor.

Homework 

User name: last name + first initial Test Time! Go formative.com User name: last name + first initial Ex. Priodeb Password: pass123

When you finish part 1, bring your paper up and grab your calculator Test Time! Friendly reminder to mind your own and act like an eighth grader during the test. Ain’t nobody got time for your shenanigans…or you talking. Part 1 NO calculator If it asks you to take a picture and you can’t figure it out, just complete the problem on your paper When you finish part 1, bring your paper up and grab your calculator Part 2 If it asks you to take a picture and you can’t figure it out, just complete the problem on your paper

Show your work on a piece of paper. You will be turning in your work. Review Kahoot Show your work on a piece of paper. You will be turning in your work. https://play.kahoot.it/#/k/44516a38-1179-4dd5-9f7c-8e2f23081666

Pythagorean Ther. also used in 3D situations Find My Phone Pythagorean Ther. also used in 3D situations http://www.city-data.com/towers/cell-Knoxville-Tennessee.html

Find My Phone The app says my phone is 68 feet away from the signal. The tower measures 30 feet high-where should I look?

Triangulation uses 3 towers and their intersecting ranges to more accurately locate a device. http://www.cloudetal.com/triangulation-fun-time-with-maths

Triangulation in the Movies Your text here Triangulation in the Movies https://www.youtube.com/watch?v=HUg1BPIGEzo Independence Day 37 mins into http://www.dailymotion.com/video/x2klkye

Find My Phone The app says my phone is 68 feet away from the signal. The tower measures 30 feet high-where should I look? 68 ft?

Find My Phone The app says my phone is 68 feet away from the signal. The tower measures 30 feet high-where should I look? 68 ft?

Find My Phone If we assume the phone is on the ground can we use PT to determine how far away from the base? The app says my phone is 68 feet away from the signal. The tower measures 30 feet high-where should I look? 68 ft 30ft ?

Find My Phone 68 ft 30ft ? 𝑎 2 + 𝑏 2 = 𝑐 2 30 2 + 𝑏 2 = 68 2 900+ 𝑏 2 =4624 −900 =−900 𝑏 2 =3724 𝑏 2 = 3724 𝑏=61.02 ft