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MPM2D - Unit 3 Test

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MPM2D - Unit 3 Test
Student Name:
Overall Expectations Assessed
C1. Use their knowledge of ratio and proportion to investigate similar triangles and solve problems related to similarity.
C2. Solve problems involving right triangles, using the primary trigonometric ratios and the Pythagorean theorem.
C3. Solve problems involving acute triangles, using the sine law and the cosine law.
K:
/7
T:
/5
C:
/6
A:
/5
Questions:
1. Mr. Britz needs to support the tower with cables into an anchor in the ground 9 m from the base
of the tower. When the tower’s shadow is 9 m long, Mr. Brtiz’s shadow is 0.6 m long. If Mr. Britz
is 1.85 m tall, how long of a cable will he need to support the tower?
K:2, T:2, C:2, A:2
2. Explain in your own words why you are able to find the length of the cable with the information
you were given.
K:0, T:1, C:1, A:0
3. How much further does the plane need to fly to be directly above the ship? K:1, T:0, C:1, A:1
4. Solve for all unknown sides and angles in the triangle below. It will help to label the triangle’s
vertices and sides that are unknown with letters.
K:4, T:2, C:2, A:2
MPM2D Unit 3 Test Rubric
Student Name:
R: 0-49%
Level 1: 50%-59%
Level 2: 60%-69%
Level 3: 70%-79%
Level 4: 80%-100%
Knowledge: How well did you demonstrate your knowledge and understanding of trigonometry?
No answer was
provided.
Many errors while
solving similar
triangles.
Some errors while
solving similar
triangles.
Few errors while
solving similar
triangles.
No errors while solving
similar triangles.
No answer was
provided.
Many errors while
using the primary
trigonometric ratios.
Some errors while
using the primary
trigonometric ratios.
Few errors while using
the primary
trigonometric ratios.
No errors while using
the primary
trigonometric ratios.
No answer was
provided.
Many errors while
using the sine and
cosine laws.
Some errors while
using the sine and
cosine laws.
Few errors while using
the sine and cosine
laws.
No errors while using
the sine and cosine
laws.
Thinking: How well did you demonstrate your critical thinking and creativity when solving problems?
No answer was
provided.
Very little critical
thinking can be seen.
Critical thinking is
displayed in some
solutions.
Critical thinking is
displayed in most
solutions.
Critical thinking is
displayed in all
solutions.
No answer was
provided.
Very little creativity is
demonstrated when
needed.
Some creativity is
demonstrated when
needed.
Creativity is often
demonstrated when
needed.
Creativity is always
demonstrated when
needed.
Communication: How well did you communicate your learning with full solutions showing all steps with proper notation?
No answer was
provided.
Almost no work is
shown.
Some steps are
included.
Most steps are written.
Full, complete
solutions provided.
No answer was
provided.
Did not use proper
notation.
Used proper notation,
including
measurement units,
sometimes.
Used proper notation
and included units in
most problems, where
appropriate.
Proper notation and
units are included in all
solutions, where
appropriate.
Application: How well did you apply your learning and skills to solve a real-world problem?
No answer was
provided.
Very poor ability to
solve real-world
problems involving
acute triangles.
Overall Percentage
Some ability to solve
real-world problems
involving acute
triangles.
Good ability to solve
real-world problems
involving acute
triangles.
Teacher Comments
Excellent ability to
solve real-world
problems involving
acute triangles.
Grade
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