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Geometry Spring Assessment Problem #1
Definition
The response is complete, including finding the correct difference in
distance between the two paths. Answers are labeled and explanation of
work is complete, accurate and agrees with the student’s work.
The response is largely complete. It includes using the Pythagorean
Theorem to find lengths AD and AC. Students have found total length from
A to C to B and total length from A to D to B. Students may not have found
the difference. The explanation agrees with their work.
The answer is inaccurate or incomplete because the student misused the
Pythagorean Theorem, but they did realize that it needed to be used to solve
the problem. The student’s explanation does not agree with their work.
The student attempts to solve the problem without using any right triangle
mathematics. They correctly conclude which path is shorter, but cannot
justify their answer.
The student has no justifiable approach to solving the problem.
Geometry Spring Assessment Problem #5
Definition
Response is complete and accurate. Explanation of why triangles are
similar is complete including why the angles used are congruent.
Explanation of method used to find X is complete and there are no mistakes
in finding X.
Responses to both questions are largely complete. Student can justify the
triangles being similar because two angles are congruent. Student correctly
sets up and solves a proportion to find X or uses a scale factor to find X.
Student explains the reasoning behind the proportion or the scale factor.
Student may make a minor error in solving the proportion or using the scale
factor.
Student can explain why the triangles are similar, but cannot find X, or the
student can correctly find X but cannot explain why the triangles are
similar. Explanation for work is not complete or is incorrect.
Student cannot explain why the triangles are similar, attempts to solve for X
by writing a proportion, but it is set up incorrectly. Work is not explained.
The student has no justifiable approach to solving the problem.