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2016-2017 Grade 10 Geometry Pacing Guide Week/Date ACOS/CCRS Standard Week 1 (10/3-10/7) 9. [G-CO.9] Prove theorems about lines and angles. Theorems ACT Aspire Periodic Assessment include vertical angles are congruent; when a transversal crosses Grades 3-10 October 3-14 parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints. 12. [G-CO.12] Make formal geometric constructions with a variety of tools and methods such as compass and straightedge, string, reflective devices, paper folding, and dynamic geometric software, etc. Constructions include copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line. 10. [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. Geometry Book: 3.6 & Review Week 2 (10/10-14) Geometry Book: 4.1, 4.2 Larry J. Contri, Ed.D. Interim Superintendent Dates to Remember 2015 Park Place North Birmingham, AL 35203 205.231.4600 Week 3 (10/17-10/21) Geometry Book: 4.4, 4.5 Week 4 (10/24-10/28) Geometry Book: 4.6, 4.7, 4.8 Week 5 (10/31-11/4) Geometry Book: Chpt 4 Assessment, 5.1 Larry J. Contri, Ed.D. Interim Superintendent 7. [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. 8. [G-CO.8] Explain how the criteria for triangle congruence, angle-side-angle (ASA), side-angle-side (SAS), and side-side-side (SSS), follow from the definition of congruence in terms of rigid motions. 10. [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. 8. [G-CO.8] Explain how the criteria for triangle congruence, angle-side-angle (ASA), side-angle-side (SAS), and side-side-side (SSS), follow from the definition of congruence in terms of rigid motions. 10. [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. 30. [G-GPE.4] Use coordinates to prove simple geometric theorems algebraically. Example: 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). 2015 Park Place North Birmingham, AL 35203 205.231.4600 Week 6 (11/7-11/11) Geometry Book: 5.2, 5.3, 5.4 Week 7 (11/14-11/18) Geometry Book: 5.5, 5.6 Week 8 (11/28-12/2) Geometry Book: 6.2, 6.3 Larry J. Contri, Ed.D. Interim Superintendent 9. [G-CO.9] Prove theorems about lines and angles. Theorems include vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints. 26. [G-C.3] Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle. 10. [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. 26. [G-C.3] Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle. 4. [G-SRT.1] Verify experimentally the properties of dilations given by a center and a scale factor. ~A dilation takes a line not passing through the center of the dilation to a parallel line and leaves a line passing through the center unchanged. ~The dilation of a line segment is longer or shorter in the ratio given by the scale factor. 15. [G-SRT.2] Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. (Alabama) Veterans’ Day Progress Reports Go Home (11/10) Thanksgiving Holidays: November 21-25 ACT Aspire Periodic Assessment Grades 3-10 December 1- 16 2015 Park Place North Birmingham, AL 35203 205.231.4600 Week 8 cont. 16. [G-SRT.3] Use the properties of similarity transformations to establish the angle-angle (AA) criterion for two triangles to be similar. 24. [G-C.1] Prove that all circles are similar. Week 9 (12/5-12/9) Complete any missed standards Week 10 (12/12-12/16) Larry J. Contri, Ed.D. Interim Superintendent ACT Aspire Periodic Assessment Grades 3-10 December 1- 16 Review for Exam, Semester Exam 2015 Park Place North Birmingham, AL 35203 205.231.4600