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Open-Ended
Template
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Names: Karen Sheppard; Zema Schaney;
Michele Elkes; Suzanne Williams |
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Grade Level: 4 |
Content
Area: Measurement and
Estimation |
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PA Standards Addressed: 2.3.5.A;
2.5.5.A |
NCTM Standards: Develop,
understand and use formulas to find the area of rectangles and related
triangles and parallelograms |
Problem Name: Julie’s Carpet
Problem: Julie is buying new carpet for her living
room. The living room is the shape shown
below.
7
feet 12
feet
Directions:
What
is the area of the room?
Write
each step of your math work.
Explain
why you did each step.
Write
your answer on the line. _________________________________
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Problem
Name: Julie’s Carpet |
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Grade
Level: 4 |
Content
Area: Measurement
and Estimation |
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Problem
Solution: |
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Solution A
7 X
7 = 49
3 X
12 = +36
85 sq. feet
Solution B
10 X 7 = 70
3 X
5 = +15
85 sq. feet
Explanation: Split the room into 2 parts. Multiply length X width of one part (7 x
7=49) and the length X width of the other part (3 x 12 = 36). Now take the two products
and add them together to find the area.
(49 + 36 = 85) Area is measured
in square feet. The answer is 85 or 85
square feet of carpet.
Solution C
10 X 12 =
120
7 X
5 = -35
85 sq. feet
Explanation: You need to extend the top wall to 12 ft. and
the side wall to 10 ft. to create a rectangle.
Then multiply the length X width (10 x 12 = 120) to find the area of
this rectangle. Then you need to figure
out the area of the section that was added which is
7 x
5 = 35. Now take the large rectangle
area (120) and subtract the area of the small section that was added (35). 120 – 35 = 85. The area of the room is 85 or 85 sq. ft.
Problem Name: Julie’s Carpet
Grade
Level: 4th
Specific
Rubric:
5:
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Correct answer- (85 or 85 sq. ft.)
All work provided is shown correctly and the explanation must include
multiplication to find area(s) and the need to add or subtract to get the total
area of the room.
4:
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Correct answer with correct procedures and correct calculations with an
insufficient explanation to support the work shown.
3:
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Correct answer with no explanation but most procedures shown. (At least
one area shown and the addition or subtraction problem)
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Correct answer with few procedures shown, and some explanation. (e.g.
Shows just the areas)
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Incorrect answer with correct procedures and some explanation. ( one
computation error)
2:
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Correct answer but little explanation and one procedure shown.
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Correct answer with little of the work shown and no explanation.
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Incorrect answer with 2 procedures shown correctly and some or no
explanation.
1:
·
Correct answer but the work is missing or unreadable and no explanation
or unreadable.
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Incorrect answer but there is one correct step shown and some or no
explanation.
0:
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Off task or no correct work.
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