Proportion and Reasoning
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Transcript Proportion and Reasoning
Take out your scientific 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.
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
Assistance
Engaging activities
Patience and clarity
Politeness
Teach at your pace
Communication
Raffle tickets
Monthly auction
Raffle tickets
Problem Solvers of the Week
◦ Must be on time to class every day
◦ Must participate fully in each station
◦ Must score a 3 or 4 on each exit slip
Positive Phone Calls Home
Bathroom Passes
Certificates for Most Improved, MVP, etc.
Competitions between classes
Competitions between teams in each class
Group activities
Jeopardy
Educational videos
iPad activitites
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
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
Establish expectations
Define the sine, cosine, and tangent ratios
Understand the usefulness of trigonometry
Use problem solving skills