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Weekly Overview:
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Unit Description: Unit Description: : Unit 3 Triangles and More Triangles
· How can classifying triangles identify their special characteristics?
· What special relationships occur between congruent triangles and similar triangles?
· What special properties exist in a right triangle that makes it unique?
· How can special segments of a triangle be used to solve real-world problems?
· How can points of concurrency be used in real- world situations?
Standards/Benchmarks/GLEs: 1,2,3,4,8,9,10,11,12,17,18,19
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Objectives:
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3.1.4 Proving Triangles Congruent
CPCTC – solve for missing corresponding measures of congruent triangles
Students will be able to identify and prove that triangles are congruent by SAS, SSS, ASA and AAS theorems.
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3.1.4 Proving Triangles Congruent
Students will be able to identify and prove that triangles are congruent by SAS, SSS, ASA and AAS theorems.
Name similar triangles and understand that the sides are proportional and the angles are congruent.
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3.2.1 Similar Figures
Students will solve equations involving proportions
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3.2.1 Similar Figures
Determine scale factors and whether polygons are similar.
Write similarity statements.
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3.2.1 Similar Figures
Determine scale factors and whether polygons are similar.
Write similarity statements.
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Student Learning Activities:
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3.1.4 Lesson Enhancement on using algebra and specific line segments in triangles. What other info is needed to prove triangles congruent?
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Test on proving triangles congruent, segments in triangles, and points of concurrency
Finish 3.1.4 LE
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7-1 Practice/ 7-2 Practice(Glencoe) On solving proportions, finding ratios and exploring similar polygons
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Making conjectures about similarity activity p.472 (explore photos)
8.3 Lesson opener Lute of Pythagoras- similar polygons
8.3 Practice A – determine which figures are similar and write statements of proportionality, similarity, and determine scale factors
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Mirror Trick
8.4 Lesson opener – golf problem
8.3 Practice B – continue determining similarity, scale factors, writing similarity statements and solving for missing sides in similar polygons
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Homework:
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Pass Lessons 8-11
Study for test on proving triangles congruent
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Finish 3.1.4 Lesson Enhancement
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Finish 7-1/7-2 worksheets
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Finish 8.3 Practice A
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Finish 8.3 Practice B
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