ratios in right triangles are properties of ability to apply that knowledge to the angles in the triangle, leading to problems. definitions of trigonometric ratios for acute angles. Domain: Enduring Understanding(s) Use the following lesson(s) first to Vocabulary introduce concepts/build conceptual Cluster: Apply geometric concepts in Geometric figures can change size and/or Scale model, scale drawing, scale understanding. modeling situations position while maintaining proportional attributes. Apply geometric methods to solve design Writing in Math/Discussion problems (e.g., designing an object or Compare and contrast scale and scale factor. structure to satisfy physical constraints or Use the textbook resources to address Essential Question(s) minimize cost; working with typographic grid procedural skill and fluency. How do you use proportions to find side lengths ★ You can produce a scale model of a certain systems based on ratios). in similar polygons? Lesson 7.7 Scale Drawings and Scale Models object by extending each dimension by a pp. 512-517 constant. What must be true of the shape of Objective(s): the object? Explain your reasoning. Interpret scale models Use scale factors to solve problems Using Similar Triangles (Allow approximately 3 weeks for instruction, review, and assessment) Domain: Enduring Understanding(s) Use the following lesson(s) first to Writing in Math/Discussion Cluster: Prove theorems involving similarity introduce concepts/build conceptual Polygons are similar if and only if corresponding Contrast and compare the triangle congruence understanding. angles are congruent and corresponding sides theorems with the triangle similarity theorems. Prove theorems about triangles. are proportional. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Essential Question(s) Pythagorean Theorem proved using How do you use proportions to find side lengths triangle similarity. in similar polygons? Domain: How do you show two triangles are similar? Use the textbook resources to address Cluster: Prove theorems involving similarity procedural skill and fluency. Use congruence and similarity criteria Objective(s): Lesson 7.3 Similar Triangles pp. 474-483 for triangles to solve problems and to Identify and prove similar triangles
ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. ability to apply that knowledge to problems. Domain: Cluster: Apply geometric concepts in modeling situations Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). ★ Enduring Understanding(s) Geometric figures can change size and/or position while maintaining proportional attributes. Essential Question(s) How do you use proportions to find side lengths in similar polygons? Objective(s): Interpret scale models Use scale factors to solve problems Use the following lesson(s) first to introduce concepts/build conceptual understanding. Use the textbook resources to address procedural skill and fluency. Lesson 7.7 Scale Drawings and Scale Models pp. 512-517 Vocabulary Scale model, scale drawing, scale Writing in Math/Discussion Compare and contrast scale and scale factor. You can produce a scale model of a certain object by extending each dimension by a constant. What must be true of the shape of the object? Explain your reasoning. Using Similar Triangles (Allow approximately 3 weeks for instruction, review, and assessment) 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 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? How do you show two triangles are similar? Objective(s): Identify and prove similar triangles Use the following lesson(s) first to introduce concepts/build conceptual understanding. Use the textbook resources to address procedural skill and fluency. Lesson 7.3 Similar Triangles pp. 474-483 Writing in Math/Discussion Contrast and compare the triangle congruence theorems with the triangle similarity theorems.
Geometry%20Q3%2012_7_16%20Rev%20CH%20(2).docx