prove relationships in geometric using the AA Similarity Postulate and figures. the SSS and SAS similarity Theorems Use the following resources to deepen Use similar triangles to solve problems students' conceptual understanding of mathematical content and develop their ability to apply that knowledge to problems. Domain: Enduring Understanding(s) Use the following lesson(s) first to Vocabulary Cluster: Prove theorems involving similarity introduce concepts/build conceptual Polygons are similar if and only if corresponding Mid-segment of a triangle understanding. angles are congruent and corresponding sides Prove theorems about triangles. are proportional. Theorems include: a line parallel to Activity with Discussion one side of a triangle divides the other Use multiple representations to explore angle two proportionally, and conversely; the Essential Question(s) bisectors and proportions. See p. 492, #47 Pythagorean Theorem proved using How do you use proportions to find side lengths triangle similarity. in similar polygons? Use the textbook resources to address Domain: procedural skill and fluency. Cluster: Prove theorems involving similarity Objective(s): Lesson 7.4 Parallel Lines and Proportional Use congruence and similarity criteria Use proportional parts within triangles Parts (midsegments was previously covered in for triangles to solve problems and to unit 2) pp. 484-492 Use proportional parts with parallel lines prove relationships in geometric figures. Use the following resources to deepen students' conceptual understanding of mathematical content and develop their ability to apply that knowledge to problems. Task(s)
prove relationships in geometric figures. using the AA Similarity Postulate and the SSS and SAS similarity Theorems Use similar triangles to solve problems Use the following resources to deepen students' conceptual understanding of mathematical content and develop their ability to apply that knowledge to problems. Domain: Cluster: Prove theorems involving similarity Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity. Domain: Cluster: Prove theorems involving similarity Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. Enduring Understanding(s) Polygons are similar if and only if corresponding angles are congruent and corresponding sides are proportional. Essential Question(s) How do you use proportions to find side lengths in similar polygons? Objective(s): Use proportional parts within triangles Use proportional parts with parallel lines Use the following lesson(s) first to introduce concepts/build conceptual understanding. Use the textbook resources to address procedural skill and fluency. Lesson 7.4 Parallel Lines and Proportional Parts (midsegments was previously covered in unit 2) pp. 484-492 Use the following resources to deepen students' conceptual understanding of mathematical content and develop their ability to apply that knowledge to problems. Task(s) Vocabulary Mid-segment of a triangle Activity with Discussion Use multiple representations to explore angle bisectors and proportions. See p. 492, #47
Geometry%20Q3%2012_7_16%20Rev%20CH.docx