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Transcript
CCGPS GEOMETRY UNIT 1 Monday Tuesday Wednesday 7 Thursday Friday 8 9 Pre-test Ancient Greece Task 1-1 Measuring & Constructing Segments 1-2 Measuring & Constructing Angles 1-3 Inductive Reasoning to Make Conjectures 1-4 Conditional Statements 1-5 Using Deductive Reasoning to Verify Conjectures Syllabus, Transcripts 12 13 14 15 16 2-1 Biconditional Statements & Definitions 2-2 Algebraic Proof 2-2 Algebraic Proof 2-3 Geometric Proof 2-4 Flow Chart & Paragraph Proof MOD 1-2 QUIZ 3-1 Angles Formed by Parallel Lines & Transversals 19 20 21 22 23 3-2 Proving Lines Parallel 3-3 Perpendicular Lines 4-1 Congruence and Transformations 4-2 Angle Relationships in Triangles 4-3 Congruent Triangles Review Mod 1-4 26 27 28 29 30 MOD 1-4 Test 5-1 SSS & SAS 5-2 ASA, AAS, HL 5-3 CPCTC 5-4 Isosceles and Equilateral Triangles MOD 5 QUIZ 2 3 4 5 6 6-1 Perpendicular & Angle Bisector 6-2 Bisectors of Triangles 6-3 Medians & Altitudes of Triangles 6-4 Triangle Midsegment Theorem Review Mod 6 10 11 12 13 7-1 Properties of Parallelograms 7-2 Conditions for Parallelograms 7-3 Properties of Special Parallelograms 7-4 Conditions for Special Parallelograms 8-1 Ratios of Similar Polygons 8-2 Similarity and Transformations NO SCHOOL LABOR DAY 9 Mod 5-6 QUIZ CCGPS GEOMETRY UNIT 1 16 17 18 19 8-3 Triangle Similarity AA, SSS, SAS 8-4 Applying Properties of Similar Triangles Review Mod 5-8 MOD 5-8 Test 8-5 Dilations and Similarity in the Coordinate Plane OVERVIEW In this unit students will: verify experimentally with dilations in the coordinate plane. use the idea of dilation transformations to develop the definition of similarity. determine whether two figures are similar. use the properties of similarity transformations to develop the criteria for proving similar triangles. use AA, SAS, SSS similarity theorems to prove triangles are similar. use triangle similarity to prove other theorems about triangles. using similarity theorems to prove that two triangles are congruent. prove geometric figures, other than triangles, are similar and/or congruent. use descriptions of rigid motion and transformed geometric figures to predict the effects rigid motion has on figures in the coordinate plane. know that rigid transformations preserve size and shape or distance and angle; use this fact to connect the idea of congruency and develop the definition of 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. use the definition of congruence, based on rigid motion, to develop and explain the triangle congruence criteria; ASA, SSS, and SAS. prove theorems pertaining to lines and angles. prove theorems pertaining to triangles. prove theorems pertaining to parallelograms. make formal geometric constructions with a variety of tools and methods. construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.