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DATE CONECUH COUNTY PUBLIC SCHOOLS GEOMETRY PACING GUIDE High School Mathematics 2nd Nine Weeks for 2015-2016 Standards/Objectives Second Quarter Week 1 October 12-16 Review Week EQT Analysis Assess Needs Explore Resources Week 2 Congruence October ACOS 9 (CO.9) 19-23 G.CO.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, October 19th alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly Parent Teacher those equidistant from the segment’s endpoints. Conference Prove theorems pertaining to lines and angles. Prove vertical angles are congruent. Prove when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angels are congruent. Prove points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints. Week 3 Congruence October ACOS 10 (CO.10) 26-30 G.CO.10 Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180º; 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. Prove theorems pertaining to triangles. Prove the measures of interior angles of a triangle have a sum of 180º. Prove base angles of isosceles triangles are congruent. Prove the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length. Prove the medians of a triangle meet at a point. Week 4 Congruence November ACOS 7 (CO.7) 2-6 G.CO.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. Use the definition of congruence, based on rigid motion, to show two triangles are congruent if and only if their corresponding sides and corresponding angles are congruent. ACOS 8 (CO.8) G.CO.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. Use the definition of congruence, based on rigid motion, to develop and explain the triangle congruence criteria; ASA, SSS, and SAS. Page 1 of 1 Taught Tested Week 6 November 16 – 20 Thanksgiving 23-27 Congruence ACOS 11 (CO.11) G.CO.11 Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals Prove theorems pertaining to parallelograms. Prove opposite sides are congruent. Prove opposite angles are congruent. Prove the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. Similarity, Right Triangles, and Trigonometry ACOS 17 (SRT.4) G.SRT.4 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. Use AA, SAS, SSS similarity theorems to prove triangles are similar. Use triangle similarity to prove other theorems about triangles Prove a line parallel to one side of a triangle divides the other two proportionally, and it’s converse Prove the Pythagorean Theorem using triangle similarity. Week 7 Expressing Geometric Properties With Equations November 30 – ACOS 30 (GPE.4) G.GPE.4 Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure December 4 defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2). Use coordinate geometry to prove geometric theorems algebraically; such as prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2). Week 9 December 14 – 18 Review and Assess Page 1 of 2