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Mathematics Curriculum Supplement Geometry (G-SRT.A.2) Geometry Mathematics Highly-Leveraged Standard1 G-SRT.A.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. Student Learning Targets: Students will be able to: explain a transformation is a similarity transformation if and only if it is the composite of dilations and an isometric transformation. know if two figures are similar then corresponding angles are congruent and corresponding lengths are proportional. analyze the relationship between the measures of lengths among similar triangles created with a known scale factor. Performance Level Descriptors Standard Minimally Proficient Partially Proficient Proficient Highly Proficient The Minimally The Partially Proficient The Proficient student The Highly Proficient Proficient student student student Similarity, Right Triangles and Trigonometry G-SRT.A Identifies corresponding Determines if two given Explains that two given Proves or disproves that [2] parts of two similar figures are similar. figures are similar in two given figures are figures. terms of similarity similar, using transformations. transformations and the definitions of similarity. 1 Highly-Leveraged Standards are the most essential for students to learn because they have endurance, leverage and essentiality. This definition for highly-leveraged standards was adapted from the website of Millis Public Schools, K-12, in Massachusetts, USA. http://www.millis.k12.ma.us/services/curriculum_assessment/brochures Specifically for mathematics, the Highly-Leveraged Standards are the Major Content/Clusters as defined by the AZCCRS Grade Level Focus documents. They should encompass a range of at least 65%-75% for Major Content/Clusters and a range of 25%-35% for Supporting Cluster Instruction. See the Grade Level Focus documents at: https://cms.azed.gov/home/GetDocumentFile?id=57069f7baadebe0bccd0a8b5 TUSD Department of Curriculum and Instruction Curriculum 3.0 Revised 5/2/2017 11:30 PM Page 1