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

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# Proportion and Reasoning