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CMS WEEKLY LESSON GUIDELINES TEACHER: Winders, Andrea SUBJECT: Acc math I GRADE: 8th DATE: January 12-16. 2009 Unit 3—Circles and Spheres MA1G3. Students will understand the properties of circles. a. Understand and use properties of chords, tangents, and secants as an application of triangle similarity. b. Understand and use properties of central, inscribed, and related angles. c. Use the properties of circles to solve problems involving the length of an arc and the area of a sector. d. Justify measurements and relationships in circles using geometric and algebraic properties. UNIT ESSENTIAL QUESTION: What measurements can I make on curved shapes? MONDAY 1/12 LESSON EQ: TUESDAY 1/13 LESSON EQ: WEDNESDAY 1/14 LESSON EQ: THURSDAY 1/15 LESSON EQ: WHAT ARE THE What are the properties of central, inscribed, and related angles? What are the properties of central, inscribed, and related angles? How can we use the properties of arcs and chords in a circle? WARM-UP & OPENING: REVIEW F.O.I.L WARM-UP & OPENING: Review SSS Similarity Theorem and SAS Similarity Theorem (p. 185) WARM-UP & OPENING: OPENING: THEOREMS 6.5, 6.6, 6.7, AND 6.8 ON PAGE 198 WARM-UP & OPENING: WORK SESSION: WORK SESSION: WORK SESSION: Investigating Math Activity— Arcs and Central Angles— through this activity, students will discover the relationship between major arcs, minor arcs, and central angles. LESSON 6..3—APPLY PROPERTIES OF CHORDS, PP. 198-202 USING CONGRUENT CHORDS TO FIND ARC MEASURES; USING CHORDS WITH WORK SESSION: Lesson 6.2 Find Arc Measure, pp. 191194 PROPERTIES OF CHORDS, TANGENTS, AND SECANTS AS AN APPLICATION OF TRIANGLE SIMILARITY? WARM-UP & OPENING: QUIZ: VOCABULARY AND APPLICATION PROBLEMS Circle;Center; Radius; Chord; Diameter; Secant; Tangent;Point of Tangency; Arcs—Minor Arc and Major Arc— WORK SESSION: STATE PERFORMANCE TASK: SUNRISE ON THE FIRST DAY OF THE NEW YEAR—WE WILL COMPLETE QUESTIONS 1-3 IN SMALL COLLABORATIVE GROUPS TRIANGLE SIMILARITY FRIDAY 1/16 LESSON EQ: What is the relationship between inscribed angles and intercepted arcs? VOCABULARY: INSCRIBED ANGLES; INTERCEPTED ARCS; INSCRIBED POLYGON; CIRCUMSCRIBED CIRCLE LESSON 6.4—USE INSCRIBED ANGLES AND POLYGONS, PP. 205109 THEOREM 6.11 & 6.12 CLOSING: Discuss Performance Task--Sunrise on the First Day of a New Year Learning Task HW: CONTINUE/COMPLETE SUNRISE TASK NOTES & OBSERVATIONS: YOU MAY FIND THIS CD HELPFUL: @HomeTutor; Geometry 10.1, 10.3, 10.6 CLOSING: WHAT IS THE RELATIONSHIP BETWEEN THE MEASURE OF A MAJOR ARC AND ITS CORRESPONDING MINOR ARC HW: P. 188-189, PROB. 17-25 NOTES & OBSERVATIONS: CLOSING:REVIEW : VOCABULARY—CENTRAL ANGLE; SEMICIRCLE, ARC, ARC ADDITION POSTULATE, CONGRUENT CIRCLES, CONGRUENT ARCS NO HW NOTES & OBSERVATIONS: CLOSING: TURN IN COMPLETED PERFORMANCE TASK “SUNRISE” HW: PURPLE TEXTBOOK, PP. 201, PROB. 1-13 NOTES & OBSERVATIONS: CLOSING— REVIEW VOCABULARY FROM LESSONS THIS WEEK HW: DUE, TUESDAY, JAN 20, 2009, P.207, PROB. 1-18 NOTES & OBSERVATIONS: