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Geometry 17, 18 October 2012 1)Place binder and text on desk. 2)Warm up: (top back) a) Find the rule for the table: a) Find the rule for the table: b) Find x if a = b b) Find x if a = b n12345n F(n)47121928 a= 2x + 10º c= 3x + 20º b
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Objective Students will be able to construct perpendicular lines and practice with construction tools. Homework Due Friday: 3.2, pg. 151+: 7 – 10, 15 - 20 3.2, pg. 151+: 7 – 10, 15 - 20 3.3, pg. 156: 1 – 3, 13 3.3, pg. 156: 1 – 3, 13 3.4, pg. 160: 1 – 5 3.4, pg. 160: 1 – 5 Short Quiz- Friday- know VOCAB and basic SIX constructions Chapter 3/ Rule Writing Test- October 24 PROJECT- Shuttling Around due October 30
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Project- Shuttling Around Review Project Details Review Rubric– how can you get an “A”? Practice-- can you solve the puzzle with one marker on each side? DUE October 30.
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Constructions- how to Graphic Organizer KNOW how to duplicate/ construct (Patty paper, COMPASS AND STRAIGHTEDGE ) 1) Line Segment 2) Angle 3) Perpendicular Bisector 4) Perpendicular to a segment through a point not on the segment 5) Bisect an angle 6) Parallel Lines
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Applications Know how to construct for triangles (Patty paper and Compass/ Straightedge): 1) Medians 2) Altitudes 3) Midsegments 4) Circumcenter 5) Centroid
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Review…..classwork paper http://www.hstutorials.net/math/geometry/constructions/perpendicu lar_not_on_line.htm Construct a perpendicular from a point not on your segment using your compass. Construct a perpendicular from a point not on your segment using patty paper. DO STEP 5 on page 155. Which distance is shortest?
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Angle Bisector A ray that divides an angle into 2 congruent adjacent angles. BD is an angle bisector of <ABC. B A C D
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Two more constructions… ANGLE BISECTOR 1) Patty Paper- see page 159 2) With a compass http://www.youtube.com/watch?v=nysMOfPsAfI&feature=related PARALLEL LINES 1) Patty Paper- see page 163 2) With a compass – various methods http://www.youtube.com/watch?v=7pmonTIWunk PRACTICE- do THREE of each on your classwork paper
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median segment connecting the vertex of of a triangle to the midpoint of the opposite side each triangle has 3 medians midsegment segment connecting midpoints of two sides of a triangle each triangle has 3 midsegments do you know these words?
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and…. circumcenter- the point of concurrency (one point where all 3 lines intersect) for the perpendicular bisectors.
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altitude- perpendicular segment from a vertex to the opposite side or a line containing the opposite side http://www.mathwarehouse.com/dictionary/A-words/altitutude.html
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Chapter 3 Summary Work with your group to complete the graphic organizer Use as a study guide
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Debrief Chinese Restaurants Do your best to answer this problem and justify your work. Work independently for 10 minutes Work independently for 10 minutes. We’ll work on this problem with your group next week.
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