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Mathematics Curriculum Supplement
Geometry (G-SRT.B.5)
Geometry
Mathematics
Highly-Leveraged Standard1
G-SRT.B.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric
figures.
Student Learning Targets:
Students will be able to:
 explain the relationship between similarity and congruence.
 set up and write equivalent ratios.
 identify corresponding angles and sides of two triangles.
 determine a scale factor and use it in a proportion.
 solve geometric problems using congruence and similarity.
 prove relationships using congruence and similarity
 explain and apply similarity postulates AA, SSS, and SAS.
 explain and apply the congruence postulates SSS, SAS, ASA, AAS, and HL.
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.B
Finds measures of sides
Solves problems
Solves problems and
Proves conjectures about
[5]
and angles of congruent involving triangles,
proves relationships in
congruence or similarity
and similar triangles.
using congruence and
geometric figures by
in geometric figures,
similarity criteria.
using congruence and
using congruence and
similarity criteria for
similarity criteria for
triangles. Includes
triangles. Includes
problems from context.
problems from context.
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 5/6/2017 7:43 AM
Page 1