Proportion and Reasoning

Download Report

Transcript Proportion and Reasoning

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.





$60 from the yard sale!
$108 from donations!
$259 from the car wash!
$427 total











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







Positive attitude
Prepared and on time
Respect
Patience and clarity
Teach at your pace
Raffle tickets
Monthly auction



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



Laziness
Profanity
Disrespect





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



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.







#10 was extra credit
18 points possible
16+  4
14+  3
12+  2
10+  1.5
1-9  1





Period
Period
Period
Period
Period
1
2
4
5
6
Results:
Results:
Results:
Results:
Results:
25% Proficient
40% Proficient
45% Proficient
7% Proficient
23% Proficient


Retake Options
Common Mistakes




Establish expectations
Define the sine, cosine, and tangent ratios
Understand the usefulness of trigonometry
Use problem solving skills
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.
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.
The three right triangles are similar
to each other by AA

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


SOH-CAH-TOA
Some Old Horse Caught Another Horse
Taking Old Apples

Memorize all the trig ratios (including
working backwards)




Establish expectations
Define the sine, cosine, and tangent ratios
Understand the usefulness of trigonometry
Use problem solving skills