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Mathematics Pacing Resource Document Geometry – Triangle Strand Standard: G.T.1: Prove and apply theorems about triangles, including the following: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point; a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem, using triangle similarity; and the isosceles triangle theorem and its converse. I can: Prove and apply the theorem that the interior angles of a triangle sum to 180°. Prove and apply the theorem that the base angles of isosceles triangles are congruent. Prove and apply the theorem that the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length. Prove and apply the theorem that the medians of a triangle meet at point. Prove and apply the theorem that a line parallel to one side of a triangle divides the other two proportionally, and conversely. Prove and apply the theorem that the Pythagorean Theorem, using triangle similarity. Prove and apply the theorem that the isosceles triangle theorem and its converse. Lesson Plans/Print Activities: Web-based Practice: Quarter One Standard Geometry - McDougal Littell Textbook This provides a platform for students to practice proving various concepts. Immediate feedback is provided: http://feromax.com/cgi-bin/ProveIt.pl This task is designed to specifically work with a proof of the Pythagorean Theorem: http://map.mathshell.org/materials/lessons.php?taskid=419&su bpage=concept Material not covered in Quarter 1 Honors Geometry – Glencoe McGraw-Hill Textbook Sec. 4.2 Angles of Triangles (include p. 243) Sec. 4.3 Congruent Triangles Sec. 4.4 Prove Triangles Congruent by SSS,SAS,AAS,ASA Quarter Two Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document Standard Geometry - McDougal Littell Textbook Sec. 4.1- Apply Triangle Sum Properties p. 222 # 29, 30, 39 Sec. 4.2- Apply Congruence and Triangles p. 229 # 17, 22, 32 p. 333 # 1-4 Sec. 4.3- Prove Triangles Congruent by SSS p. 238 #22, 23, 28, 29 Sec. 4.4-Prove Triangles Congruent by SAS and HL p. 245 # 31, 32,33 p. 247 #1-3 Sec. 4.5- Prove Triangles Congruent by ASA and AAS p. 254 #23,24,26, Sec. 4.6-Use Congruent Triangles p. 261 # 28-30 Sec. 4.7-Use Isosceles and Equilateral Triangles p. 269 #38, 39, 40, 41 Sec. 5.1-Midsegment Theorem and Coordinate Proof p. 300 # 35, 38, Sec. 5.4-Use Medians and Altitudes p. 324 # 37, 38, 39 Sec. 5.6-Inequalities in Two Triangles and Indirect Proof p. 340 # 22, 23,25 p. 342 #1-6 This link includes several tutorials pertaining to proofs of triangles. Select the appropriate topic: https://www.khanacademy.org/search?page_search_query=tria ngles+proof This site contains activities for proving triangles. Click on the link and scroll down to open a teacher and a student pdf. To prove base angles of isosceles triangles are congruent, open the Teacher guide to p. 190-198. Student activities occur in student guide on p. 131-137. To prove medians of a triangle meet at a point, open the teacher guide to p. 239-241. Student activities occur in the student guide on p. 173-176. https://www.engageny.org/resource/geometry-module-1 Honors Geometry – Glencoe McGraw-Hill Textbook Sec. 4.5- Proving Triangles Congruent – ASA, AAS p. 279 # 23, 24, Sec. 4.6-Isosceles and Equilateral triangles Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document p. 289 # 26, 27, 44 Sec. 7.3-Similar Triangles p. 481 29, 32, 35 Quarter Three Standard Geometry - McDougal Littell Textbook Sec. 7.1- Apply the Pythagorean Theorem p. 438 #31, 32, 34, 35, Sec. 7.2- Use the Converse of the Pythagorean Theorem p. 445 #35, 36, 37,38, 39 Honors Geometry – Glencoe McGraw-Hill Textbook Sec. 8.2- The Pythagorean Theorem and Its Converse p. 548 #44-49, 51 Indianapolis Public Schools Curriculum and Instruction