PPT-From Triangles to Circles and Back - Exploring Connections

Facilitator David Brown May 3 2014 Workshop Goals Setting the stage Standards for Mathematical Practices Handson exploration of Pythagorean triples incorporating NYS Secondary CCLSM Discuss geometry and algebra connections. A geometric realization of a proof in . H. Wu’s “Teaching Geometry According to the Common Core Standards”. B. A. C. c. a. b. Given a right triangle . . ABC with legs . a. and . b. and hypotenuse . Ms. . Andrejko. Vocabulary. Radius-. a segment with endpoints at the center and on the circle. Chord-. segment with both endpoints on the circle. Diameter-. chord that passes through the center and has endpoints on the circle. Chapter 13 . Circles and Area. Circles and Area . 13.1 Circles and . Circumference. Circles and Area . 13.1 Circles and Circumference. . Circles and Area . 13.1 Circles and Circumference. Example One: Lesson Tutorial. Written by: Jack S. . Calcut. Presented by: Ben Woodford. (pay attention: there Will be a test at the end). Definitions. An . angle is . rational . provided it is commensurable with a straight . angle; equivalently. in the UK. ISTR, Muenster, Germany. July 2014. Angela . Eikenberry. , University of Nebraska at Omaha, USA. Beth Breeze, University of Kent, UK. Overview. Definition of a giving circle. Previous relevant studies. Geometry 1B. Things we already know…. Circles. The set of all points in a plane that are a given distance (radius) from a given point (center)in the plane. Radius. Segment that joins the center to a point on the circle. TWSSP Wednesday. Welcome. OK, OK, I give in! You can sit wherever you want, . if …. You form groups of 3 or 4. You promise to assign group roles and really pay attention to them today. AND you promise to stay on task, minimize your side conversations, and participate actively in our whole group discussions. If triangles are similar are other things similar as well. Proportional Parts Conjecture. If two triangles are similar, then the length of the corresponding altitudes, medians, and angle bisectors are proportional to the lengths of the corresponding sides. This shows similar Triangles. Using Congruent Triangles. Congruent triangles have congruent corresponding parts. So, if you can prove the two triangles are congruent then you know their corresponding parts must be congruent as well.. Honors Geometry. CCHS. Which rule proves the triangles congruent?. . ASA. What rule proves the triangles congruent?. . SAS. What rule proves the triangles congruent?. Not enough information. (SSA labeling). Objective. :. To understand and apply properties of isosceles and equilateral triangles.. Supplies. :. Math Notebook. Assignment: 4.8 p. 276: 1-10, 12-16, 22-26. 4.8: Isosceles & Equilateral Triangles. Geometry. 5.1 Angles of Triangles. Essential Question. How are the angle measures of a triangle related?. 5.1 Angles of Triangles. November 21, 2016. 5.1 Angles of Triangles. November 21, 2016. Goals – . Discover the truth and the facts about Back To Life System™ PDF, eBook by Emily Lark. Click \"SHARE\" and \"DOWNLOAD\" to read the document offline. The set of all points in a plane that are equidistant An angle whose vertex is the is 15 16 A radius drawn to a tangent at the point of 17 exterior point to a circle are congruent 18 In