Dates Standards/Essential Questions Essential Knowledge/Skills/Understanding Resources Block Trdtl Standard: G.7 Essential Understanding Key Vocabulary Similarity has real-world applications in a variety of area The student, information in the areas, including art, architecture, and the sciences. deductive proof 5 days 10 days form of a figure or statement, will perimeter prove two triangles are similar, using Similarity does not depend on the position of the proportion algebraic and coordinate methods as triangle. ratio well as deductive proofs. scale factor Congruent figures are also similar, but similar similar figures figures are not necessarily congruent. similar triangles AA Similarity Prerequisite/Extension SOL Essential Knowledge/Skills SSS Similarity 6.12 determine congruence of Use definitions, postulates, and theorems to prove SAS Similarity segments/angles/polygons triangles similar. volume 7.6 determine similarity of plane Use algebraic methods to prove that triangles are DOE Lesson Plans figures and write proportions to similar. express relationships between similar quads and triangles Use coordinate methods, such as the distance Textbook Resources formula, to prove two triangles are similar. 5.1 5.4 (supplemental to G.5), 5.6, – 5.7 Resources/Lessons Section 7.1-7.5
Dates Standards/Essential Questions Essential Knowledge/Skills/Understanding Resources Block 5 days Trdtl 10 days Standard: G.7 The student, information in the form of a figure or statement, will prove two triangles are similar, using algebraic and coordinate methods as well as deductive proofs. Prerequisite/Extension SOL 6.12 determine congruence of segments/angles/polygons 7.6 determine similarity of plane figures and write proportions to express relationships between similar quads and triangles Essential Understanding Similarity has real-world applications in a variety of areas, including art, architecture, and the sciences. Similarity does not depend on the position of the triangle. Congruent figures are also similar, but similar figures are not necessarily congruent. Essential Knowledge/Skills Use definitions, postulates, and theorems to prove triangles similar. Use algebraic methods to prove that triangles are similar. Use coordinate methods, such as the distance formula, to prove two triangles are similar. Key Vocabulary area deductive proof perimeter proportion ratio scale factor similar figures similar triangles AA Similarity SSS Similarity SAS Similarity volume DOE Lesson Plans Textbook Resources 5.1 – 5.4 (supplemental to G.5), 5.6, 5.7 Resources/Lessons Section 7.1-7.5
2014-2015_geometry_completed_pacing_guide.docx