Wednesday, August 14, 2024, 5:32 AM
Site: Learnbps
Course: BPSS (MAT) Mathematics Standards (SMAT)
Glossary: MATHS: Geometry
M
MATHS.GSRT.08.b
MATHS Targeted Standards (G) Concept: Geometry (SRT) Domain: Similarity, Right Triangle, and Trigonometry Cluster: Define trigonometric ratios and solve problems involving right triangles
MATHS.GSRT.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
Reasoning Targets
Skills (Performance) Targets
Product Targets

Proficiency Scale
Score 

Description 
Sample Activity

Advanced 
In addition to Score 3.0, the student demonstrates indepth 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 indepth 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
 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. 
 
Resources


MATHS.GSRT.09
MATHS Targeted Standards (G) Concept: Geometry (SRT) Domain: Similarity, Right Triangle, and Trigonometry Cluster: Define trigonometric ratios and solve problems involving right triangles.
MATHS.GSRT.09 Derive the formula A = ½ ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.

Student Learning Targets:
Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
 I can for a triangle that is not a right triangle, draw an auxiliary line from a vertex, perpendicular to the opposite side and derive the formula, A=½ ab sin (C), for the area of a triangle, using the fact that the height of the triangle is, h=a sin(C).
Product Targets

Proficiency Scale
Score 

Description 
Sample Activity

4.0 
In addition to Score 3.0, the student demonstrates indepth 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 indepth inferences and applications regarding the more complex content with partial success. 
3.0 
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. 
 

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). 
2.0 
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). 
 

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). 
1.0 
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. 
 
Resources


MATHS.GSRT.10
MATHS Targeted Standards (G) Concept: Geometry (SRT) Domain: Similarity, Right Triangle, and Trigonometry Cluster: Apply trigonometry to general triangles
MATHS.GSRT.10 Prove the Laws of Sines and Cosines and use them to solve problems.

Student Learning Targets:
Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
 I can prove the Laws of Sines and Cosines.
 I can use the Laws of Sines and Cosines to solve real world problems.
Product Targets

Proficiency Scale
Score 

Description 
Sample Activity

4.0 
In addition to Score 3.0, the student demonstrates indepth 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 indepth inferences and applications regarding the more complex content with partial success. 
3.0 
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. 
 

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). 
2.0 
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). 
 

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). 
1.0 
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. 
 
Resources


MATHS.GSRT.11
MATHS Targeted Standards (G) Concept: Geometry (SRT) Domain: Similarity, Right Triangle, and Trigonometry Cluster: Apply trigonometry to general triangles.
MATHS.GSRT.11 Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and nonright triangles (e.g., surveying problems, resultant forces).

Student Learning Targets:
Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
 I can apply any method to find unknown measurements in right triangles.
 I can apply the Laws of Sines and Cosines to find unknown measurements in nonright triangles.
Product Targets

Proficiency Scale
Score 

Description 
Sample Activity

4.0 
In addition to Score 3.0, the student demonstrates indepth 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 indepth inferences and applications regarding the more complex content with partial success. 
3.0 
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. 
 

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). 
2.0 
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). 
 

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). 
1.0 
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. 
 
Resources

