Geometry: Chapter 6: More About Triangles Halvorsen Chapter Six Objectives: Section 1: Medians Learn to identify and construct medians in triangles. Vocabulary: median, centroid, concurrent. Section 2: Altitudes and Perpendicular Bisectors Learn to identify and construct altitudes and perpendicular bisectors in triangles. Vocabulary: altitude, and perpendicular bisector. Section 3: Angle Bisectors of Triangles Learn to identify and use angle bisectors in triangles. Vocabulary: angle bisector. Section 4: Isosceles Triangle Learn to identify and use properties of isosceles triangles. Vocabulary: No new terms. Section 5: Right Triangles Learn to use tests for congruence of right triangles. Vocabulary: hypotenuse and legs. Section 6: The Pythagorean Theorem Learn use the Pythagorean Theorem and its converse. Vocabulary: Pythagorean Theorem, and Pythagorean triple. Section 7: Distance on the Coordinate Plane Learn to find the distance between two points on the coordinate plane. Vocabulary: No new terms. Chapter 6 Alignment to Core Standards: Domain G.CO.A.4: Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. Domain G.CO.B.7: Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. Domain G.CO.B.8: Explain how the criteria for triangle congruence follow from the definition of congruence in terms of rigid motions. Domain G.CO.C.10: Prove theorems about triangles. Domain G.CO.12: Make geometric constructions. Domain HSG.GPE.B.7: Use coordinates to prove simple geometric theorems algebraically. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. Timeline for Coverage: Geometry: Chapter 6: Monday, 12/02: Teach Lesson 6-1 HW: Practice 6-1 and Read to Learn 6-1 Tuesday, 12/03: Teach Lesson 6-2 HW: Pg. 237 – 239; #2 – 28 Evens Wednesday, 12/04: Teach Lesson 6-3 HW: 6-3 Practice and Practice Quiz Thursday, 12/05: Review 6-1 to 6-3 Take Quiz over 6-1 to 6-3 HW: None Friday, 12/06: Teach Lesson 6-4 HW: 6-4 Study Guide and Practice Monday, 12/09: Teach Lesson 6-5 HW: 6-5 Worksheet Tuesday, 12/10: Teach Lesson 6-6 HW: FW D-74 with own word problem on back Wednesday, 12/11: Teach Lesson 6-7 HW: Distance Worksheet Thursday, 12/12: Review Chapter 6 HW: Practice Test Friday, 12/13: Test over Chapter 6 HW: None Monday, 12/16: Review Chapters 1 - 6 HW: Finals Study Guide Packet Tuesday, 12/17: Review Chapters 1 - 6 HW: Finals Study Guide Packet Wednesday, 12/18: Review Chapters 1 - 6 HW: Finals Study Guide Packet Friday 12/20: RBHS Final Exams; 2nd, 4th, 6th, and 8th hours