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Download Unit 4 Congruent Triangles - South Williamsport Area School District
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South Williamsport Area School District Unit Plan Template Teacher: Christopher Lusk Dates: Unit Topic: Congruent Triangles Grade Level: 10th. Unit Summary: Students will be able to apply special relationships about interior and exterior angles of triangles. They should be able to identify corresponding parts of congruent triangles and prove triangles are congruent. They will also learn about the special properties of isosceles and equilateral triangles. Unit Outcomes: By the end of the unit, students will know: -how to find the relationships among the measures of the interior angles of a triangle. - How to name and use corresponding parts of congruent triangles. - How to prove triangles congruent using the definition of congruence. - Use the SSS and SAS postulates to test for triangle congruence. - Use the ASA and AAS postulates to test for triangle congruence. By the end of the unit, students will be able to: - Identify and classify triangles by angle measure and side measures. - Apply the Triangle angle sum theorem. - Apply the exterior angle theorem. - Prove constructions using congruent measurements. PA-Core Reporting Categories Addressed (Click here to access PDE web resources) G.GPE.4 – use coordinates to prove simple geometric theorems algebraically. G.CO.6 – Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent. 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. G.CO.10 – Prove theorems about triangles. G.CO.12 – Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.) G.MG.3 – Apply geometric methods to solve problems. G.SRT.5 – Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. Revised - April 30, 2017 Unit plans are used for lesson pacing / planning. They will be posted to teacher web pages and provided to administration upon request. South Williamsport Area School District Unit Plan Template Lessons – Whole Class Lesson Topics Anticipated Start Date Lesson Topics Anticipated Start Date 4-1 Classifying Triangles 12-17 4-5 Proving Triangles congruent – ASA, AAS 1-12 4-2 Angles of triangles 1-5 4-6 Isosceles and Equilateral Triangles 1-14 4-3 Congruent Triangles 1-7 4-7 Congruence Transformations 1-16 4-4 Proving Triangles Congruent – SSS, SAS 1-9 4-8 Triangles and Coordinate Proof 1-18 Advanced Learner Anticipated Needs *Advanced Learners with GIEPs: All Specially Design Instruction is followed as outlined by the student's Gifted Individualized Education Plan. Struggling Learner Anticipated Needs *Struggling Learners with IEPs: All accommodations/modifications are followed as outlined by the student's Individualized Education Plan. Examples: extended time, small group testing, study guides, test read aloud, and modifications made to the regular education curriculum. *Struggling Learners without IEPs: Available during the daily FLEX period to ask questions or review materials, restating of directions, and instruction that incorporates the different types of learning modalities (ex: visual, auditory, or kinesthetic). *Implement Note Cards to help with learning the postulates and theorems. Revised - April 30, 2017 Unit plans are used for lesson pacing / planning. They will be posted to teacher web pages and provided to administration upon request.
