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YOU HAVE 2 MINUTES TO GET IN THESE GROUPS!. Group 1 : Tasha, Kenneth, Mari, Sinatu , Teiara Group 2 : Teia , Kecia , Lashany , Erick L, Lafontae , Amina Group 3 : Breniah , Valeria, Conrad, Miguel, Johnny, Group 4: Khamyra , Brishanika , Deandra , Trenita , Karla
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YOU HAVE 2 MINUTES TO GET IN THESE GROUPS! Group 1: Tasha, Kenneth, Mari, Sinatu, Teiara Group 2 : Teia, Kecia, Lashany, Erick L, Lafontae, Amina Group 3: Breniah, Valeria, Conrad, Miguel, Johnny, Group 4: Khamyra, Brishanika, Deandra, Trenita, Karla Group 5: Joseph, Tracia, Keoni, James, Nijee Group 6: Mercedes, Sha’Quilla, Jerrica, Brandey, Erik A.
YOU HAVE 2 MINUTES TO GET IN THESE GROUPS Group 1: Kristina, Alyeyah, Barbara, Kaneisha, D’Antoinette Group 2: Selena, Christal, Juwan, Nicole, Brian L Group 3: Julian, Emmanuel, Dalia, Jovanny, Mercedes Group 4: Tiffany, Chelsea, Jasmine R, Tatyana, Gilbert Group 5: Katie, Niesha, Bryan, Raven, Leslie Group 6: Santrell, Yakeemah, Jasmine S, Aaron
Germany: China, Allan, Jasmine T, Vanessa, Desirae, Daniel Mart., Portugal: Cristian H, Ida, Lorena, Stephanie, Sanjae, Manolito France: Scottie, Jasmin C, Cristian E., Juan, Kristy, Nicole Spain: Brittany, LaTyra, Ariana, Jasmine Z, Mohammad, Daniela Italy: Daniel Mej, Yanet, Arely, Angela, Erandi. Poland: Lucia, Lavitchi, Sandy, Coraima, April, Rosendo. YOU HAVE 2 MINUTES TO GET IN THESE GROUPS
1/6/11 Geometry Bell Ringer YOU HAVE 2 MINUTES TO Identify the congruent triangles and determine the correct reason: Homework: Finish 1/6 Indep. Pract. STUDY FOR QUIZ
1/6 News and Notes • Test Takers: TODAY AFTER SCHOOL IN ROOM 218! • QUIZ TOMORROW • Perfection Award: 1st and 2nd Period!
1/6 Agenda • I CAN discover which potential congruency shortcuts are valid and which are invalid reasons for proving triangles congruent. • Bell Ringer • Engage • Explore – AGILE MIND EXPLORATION • Elaborate – INDEPENDENT PRACTICE • Evaluate – QUIZ TOMORROW
Engage • You’re in a group with a computer loaded up to a specific page… WHY?! • What did we say yesterday about the 6 possible shortcuts? • ONLY 4 OF THEM ARE VALID REASONS FOR PROVING TRIANGLES ARE CONGRUENT. 2 OF THEM ARE NOT! • So… What are we going to do today?
Engage • Today we are going to discover which of the 6 DO NOT prove congruence and which DO. • What does prove mean? • To guarantee something is true • There can be NO counterexamples • How are you going to do this? • Think of yourself as a detective. You’re trying to find the two imposters. • Each situation will give you a triangle, and 3 corresponding congruent parts. • Your job is to try to create a triangle from the 3 pieces that is DIFFERENT from the one you’re given.
Choose your job: • 2 Agile Mind Users (you’re in charge of moving the angles and sides, creating triangles on screen) • 2 Innovators (you’re in charge of keeping the ideas flowing with the people running the computer, coming up with new ideas if the group gets stuck) • 1 Note Taker (you’re filling in the chart) • ALL GROUP MEMBERS HAVE INPUT • THIS IS WORTH 10 POINTS BASED SOLELY ON YOUR EFFORT.
You have the next 15 minutes to work on filling in the chart.
Explain • What did you find? • Let me show you another example of why AAA and SSA do not work!
Equilateral Triangle • This is an equilateral triangle, what is true about its angles? • ALL ANGLES ARE 60° • MARK THIS • Well this is also Equilateral: • So, AAA is NOT a valid shortcut to showing that 2 triangles are congruent BOTH SHOWING AAA
What about SSA? • What shortcut is showing? • SSA • Are these two triangles congruent? • NO • So we found a counterexample, • Therefore “SSA is a pain in the ASS” and can’t prove 2 triangles are congruent.
Independent Practice • This is also in your textbook • Complete Questions #1 – 9 and 12 – 17. • QUIZ TOMORROW: Identify corresponding parts, shortcuts and know which shortcuts work to prove 2 triangles are congruent.