Download G-SRT.C.6

Mathematics Curriculum Supplement
Geometry (G-SRT.C.6)
Geometry
Mathematics
Highly-Leveraged Standard1
G-SRT.C.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading
to definitions of trigonometric ratios for acute angles.
Student Learning Targets:
Students will be able to:
 explain that similar triangles have corresponding sides that are proportional and corresponding angles that are
congruent.
 understand that similarity in right triangles, leads to proportional relationships which produce the trigonometric
ratios for the acute angles in the right triangle.
 explain the definitions of cosine, sine, and tangent functions.
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.C
Understands that, in
Defines sine, cosine, and Understands that the
Determines the
[6]
similar triangles,
tangent as the ratio of
ratio of two sides in one similarity of right
corresponding angles are sides of a right triangle.
triangle is equal to the
triangles by comparing
congruent and ratios of
Identifies the
ratio of the
the trigonometric ratios
corresponding sides are
relationship between the corresponding two sides of the corresponding
equal. Understands that
sine and cosine of the
of all other similar
sides. Solves for missing
the acute angles of a
acute angles of a right
triangles, leading to
angles of right triangles
right triangle are
triangle.
definitions of
using sine and cosine.
complementary.
trigonometric ratios for
acute angles. Explains
the relationship between
the sine and cosine of
complementary angles.
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 4/30/2017 2:23 AM
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