MAT-HS Targeted Standards (G) Concept: Geometry (SRT) Domain: Similarity, Right Triangle, and Trigonometry Cluster: Define trigonometric ratios and solve problems involving right triangles
MAT-HS.G-SRT.08.b
Use special right triangles (30°-60°-90° and 45°-45°-90°), trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
(Mastery of the Pythagorean Theorem is an 8th grade standard.)
Student Learning Targets:
Knowledge Targets
I can
I can
Reasoning Targets
I can
I can
Skills (Performance) Targets
I can
I can
Product Targets
I can
I can
Proficiency Scale
Score
Description
Sample Activity
Advanced
In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations.
-
3.5
In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success.
Proficient
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations.
The student will know and apply special right triangle relationships and use them to solve application problems.
The length of a diagonal of a square is 18 cm. Find the exact perimeter of the square.
2.5
The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content).
Progressing
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content).
The student can recognize and recall terminology to answer questions
Special right triangle (30-60-90, 45-45-90)
Exact value
Short leg
Long leg
Hypotenuse
Isosceles
Leg
The student can simplify radical expressions
In each diagram, find the length of AC:
1.5
The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content).
Beginning
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content).
-
0.5
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content).
0.0
Even with help, the student demonstrates no understanding or skill.
