take out your calculator what does it mean for two triangles to be similar? what information is...

23
Take out your calculator What does it mean for two triangles to be similar? What information is sufficient to show that two triangles are similar? Draw and label an example of two similar triangles.

Upload: sarah-roberts

Post on 17-Jan-2016

216 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

Take out your calculator What does it mean for two triangles to be similar?

What information is sufficient to show that two triangles are similar?

Draw and label an example of two similar triangles.

Page 2: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

$60 from the yard sale! $108 from donations! $259 from the car wash! $427 total

Page 3: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

Start on the DO NOW before the bell rings Participation Professional language It’s ok to be wrong! Be prepared and on time Push yourself and don’t give up Be on task Communicate any needs or concerns Clean up after yourself Do your homework Respect

Page 4: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

Positive attitude Prepared and on time Respect Patience and clarity Teach at your pace Raffle tickets Monthly auction

Page 5: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

Raffle tickets Problem Solvers of the Week

◦Must be on time to class every day◦Must participate fully◦Must score a 3 or 4 on each exit slip◦Turn in all homework on time

Positive Phone Calls Home

Page 6: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

Laziness Profanity Disrespect

Page 7: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

1st warning-Warning 2nd warning-You need to have a

conversation with me (during or after class)

3rd warning-You will move seats for the day

4th warning-I will call your parents 5th warning-Referral to the office

Page 8: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

1st warning-I keep your phone for the rest of the class period.

2nd warning-I keep your phone for the rest of the school day.

3rd warning-I will give your phone to Castillo.

Page 9: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

#10 was extra credit 18 points possible 16+ 4 14+ 3 12+ 2 10+ 1.5 1-9 1

Page 10: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

Period 1 Results: 25% Proficient Period 2 Results: 40% Proficient Period 4 Results: 45% Proficient Period 5 Results: 7% Proficient Period 6 Results: 23% Proficient

Page 11: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

Retake Options Common Mistakes

Page 12: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?
Page 13: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

Establish expectations Define the sine, cosine, and tangent ratios Understand the usefulness of trigonometry Use problem solving skills

Page 14: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

Trigonometry is the study of the relationships between the sides and the angles of a

triangle.

In this lesson you will discover some of these relationships for right triangles.

Page 15: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

All these triangles are similar by SAS or AA.

Notice that the ratio of the shorter leg’s length to the longer leg’s length is 3/5. The angle opposite the shorter leg is 31o.

Page 16: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

The three right triangles are similar to each other by AA

Page 17: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?
Page 18: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

Sine (sin) is the ratio of the length of the opposite leg to the length of the hypotenuse.◦ Sin (A) =opposite/hypotenuse◦ S=O/H

Cosine (cos) is the ratio of the length of the adjacent leg to the length of the hypotenuse.◦ Cos (A)=adjacent/hypotenuse◦ C=A/H

Tangent (tan) is the ratio of the length of the opposite leg to the length of the adjacent leg.◦ Tan (A)=opposite/adjacent◦ T=O/A

Page 19: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

SOH-CAH-TOA Some Old Horse Caught Another Horse

Taking Old Apples

Page 20: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?
Page 21: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

Memorize all the trig ratios (including working backwards)

Page 22: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?

Establish expectations Define the sine, cosine, and tangent ratios Understand the usefulness of trigonometry Use problem solving skills

Page 23: Take out your calculator  What does it mean for two triangles to be similar?  What information is sufficient to show that two triangles are similar?