Measuring Up Prototypes for Mathematics Assessment (1993) / Chapter Skim
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Hexarights
Hexarights
Pages 53-64
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From page 53... ...
. In pairs Task it= Assumed background: This task assumes that the children are familiar with area and perimeter of plane figures and with perpendicular lines.
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From page 54... ...
Note: the student work pages have been drawn to fit the 7" x 10" page of this volume. Reproduction of these pages for student use may affect the scale of the centimeter graph paper in questions 2 and 3 and the hexaright in question 4.
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From page 55... ...
Name Date ll l l l l \> ' We made up a new kind of shape and made up a name for it: hexaright. Here's the definition: A hexaright is a hexagon in which each pair of ad jacent sides is perpendicular.
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From page 56... ...
~ 1 1 1 1 1 1 , , ~ ' ' ~ ~, I ~I I ~I 1 1 1 1 1 1 1 1 1 1 2. This hexaright has been drawn on some centimeter graph paper.
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From page 57... ...
r -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -____________________~ 1 1 l l 3. This hexaright has also been drawn on some centimeter graph paper.
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From page 58... ...
On a separate piece of paper, draw two clifferent hexarights, each one with a perimeter of 24 cm. (Be sure to put your name on the paper!
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From page 59... ...
Again, it is neither hexarights nor area and perimeter that make the task noteworthy; it is the mathematica~ investigation of interrelated properties that is an important part of mathematical power. Similarly, the task asks students to think about what hexarights are not.
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From page 60... ...
Even in the cases of questions 2 and 3, the pieces of centimeter graph paper are shown as if they had been torn from a larger sheet and placed obliquely with respect to the edges of the page. Question 5 deliberately does not leave sufficient space to answer the question, and instead calls for the student to use a separate piece of paper.
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From page 61... ...
and their areas and perimeters. Interestingly, octarights occur in three basic shapes (as opposed to hexarights' single basic L-shape)
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From page 62... ...
(No fourth grader should be expected to justify this fact completely.) Fu ~ ~ cred it shou Id be
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From page 63... ...
5 Areas. Question 7 The figures drawn in questions 5 and 6 are hexarights, although the lengths of the sicies may be up to a centimeter wrong in either direction, the angles may not be accurately drawn right angles, and the perimeter may not be exactly 24 cm.
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From page 64... ...
The drawings are clone without regard to accuracy, either in making straight line segments or in making right angles. Moreover, the student's response to ques tion 7 is not related to the problem in a low response.
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