1 / 8

Understanding 30-60-90 and 45-45-90 Triangles: Geometry Bell Ringer Activities

In this lesson, students will explore how to find missing sides of 45-45-90 and 30-60-90 triangles using proportions and the Pythagorean theorem. The agenda includes a bell ringer exercise, a discussion on geometry shortcuts, and examples to solidify understanding. Students will also engage in independent practice, check their work, and prepare for grading accuracy. Homework consists of specific problems from page 493 to reinforce today's learning. Be ready to collaborate and share your insights!

chavez
Télécharger la présentation

Understanding 30-60-90 and 45-45-90 Triangles: Geometry Bell Ringer Activities

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 3/15 Bell Ringer 6 Homework: pg 493 #1 – 6,9,11 √3 y x 12 These two triangles are similar. Use a proportion to solve for x and y: Grab a bell ringer sheet from the front of the room! 60° 1

  2. 3/15 Agenda • I CAN find missing sides of 45-45-90 and 30-60-90 Triangles. • 1. Bell Ringer • 2. Why is this a shortcut? • 3. Two examples to figure all of this out. • 4. Fix it up! • 5. ACT Question of the Day

  3. News and Notes • Mr. Chrischilles’ Clicker • Perfection Award: 3rd Period • Hand in Bell Ringers from last week if you didn’t turn them in on Friday. • Hand in Hawkeye Makeup if you did it.

  4. Where does this come from? • Where does 5√2 come from? • Let’s assume we want to find c if a and b = 5. • Pythagorean Theorem: a2+b2=c2 • 52 + 52 = c2 • 25 + 25 = c2 • 50 = c2 • C = √50

  5. Example #1 6 45° • What type of triangle is it? • 45-45-90 • What do we know? Hyp = Leg x √2 C = a√2 Leg (a) = 6 • Find out: C = 6√2 • What if we knew c and wanted to find the legs? 6 C 45°

  6. 3 Example #2 60° B C • What type of triangle is it? 30-60-90 • What do we know? C = 2a B = a√3 a = 3 • Find out: C = 2(3) = 6 B = 3√3 • What if you only knew that c = 6. How would you find a and b? 30°

  7. What do I do now? • If you were not here Friday, work on the 30-60-90 Independent Practice first, then check your 45-45-90 IP. • If you didn’t finish one of the Independent Practices, finish it now. • If you finished both, check your work, making sure you didn’t write answers as decimals. • If you finish all of this, get the bonus sheet from the front of the room and work on it • ALL WORK WILL BE HANDED IN AT THE END OF CLASS AND WILL BE GRADED FOR ACCURACY!!!

  8. ACT Question of the Day • Find the value of x: • A. 2 • B. 4√3 • C. 4√2 • D. 8 • E. 2√3 x 60° 4 30° New grades are posted, check yours Homework: pg 493 #1 – 6,9,11

More Related