assessment in mathematics.docx - Midterm Exam Assessment...

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Midterm Exam Assessment and Evaluation in Mathematics Directions: Write your answer on a bond paper or yellow paper I. Critical Thinking A. Marla is going to clean the outside of her bedroom window which is on the second floor of her house, 7.5 m above the ground. She has a 9 m ladder and positions it against the house so that it just reaches the bottom of the window. How far from the house on level ground is the foot of the ladder? 1. How would you find the answer to this problem? (3 pts) 2. Bobby’s solution to this problem starts like this: ( 3 pts) 9 2 7.5 2 = x 2 Why did Bobby do this? 3. Solve the problem. (5 pts) 4. The following is Mary’s solution. Has she made any error or omissions? Explain how you know: (3 pts) 9 2 7.5 2 = x 2 18 + 15 = x 2 33 = x 2 x = about 5.5 5. Provide three possible student responses to the above problem and explain their decisions using these scenarios: (6 pts) (a) A correct algebraic response using symbols (b) An algebraic response using area of the triangle incorrectly ( A = 0.5 ( 9 ) ( 7.5 ) ) instead of the

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