A TAAP - University of Arkansas at Monticello

Solution and Scoring
Part Points
1 1 point possible
PART II Geometry Released Items––April 2007
1 point: Correct name, statement of, or explanation of theorem.
Give credit for the following or equivalent:
• The Triangle Inequality Theorem, or
• “The sum of the lengths of any two sides of a triangle is greater than the length of the
third side” (give credit if “any” is omitted), or
• “Take the two shortest lengths and add them together. That number must be bigger than
the third length,” or
• “The length of a side of a triangle must be between the sum and difference of the other
two lengths.”
Note: No credit for the Pythagorean Theorem or its statement.
2 3 points possible
Note: No credit will be awarded in Part 2 for answer or procedure if support is completely invalid
(obviously incorrect procedure) in Parts 1 and/or 2 with no correct procedure shown.
Ex: “Jason could use 3-, 4-, and 5-inch rods because they’re closest together.” (True, but insufficient.)
Ex: “Patrick could use 4-, 15-, and 16-inch rods because you could make a right triangle.” (Not true.)
½ point: Correct combination for Jason: 3-, 4-, and 5-inch rods.
AND
½ point: Correct and complete procedure shown.
Work may contain a calculation or copy error if answer is incorrect.
Give credit for the following or equivalent:
• 5 + 3 > 4, 5 + 4 > 3, 3 + 4 > 5, or
• 3 + 4 > 5, or
• 5 + 4 = 9 > 3 and 5 − 4 = 1 < 3. (If using this method, it is not necessary to check all
three pairs.)
Note: If student uses the Pythagorean Theorem in Part 1 ,
then credit will be
awarded for 3, 4, 5 with or without correct procedure shown.
AND
½ point: 1 correct combination for Patrick: 4-, 15-, and 16-inch rods or 9-, 15-, and 16-inch rods.
AND
½ point: Correct and complete procedure shown for appropriate combination.
Work may contain a calculation or copy error if answer is incorrect.
Give credit for the following or equivalent:
• 4 + 15 > 16, 4 + 16 > 15, 15 + 16 > 4, or
• 9 +15 > 16, 9 + 16 > 15, 15 + 16 > 9, or
• 4 + 15 > 16 or 9 + 15 > 16, or
• 4 + 16 = 20 > 15 and 16 − 4 = 12 < 15, or
• 16 + 15 = 31 > 9 and 16 − 15 = 1 < 9.
AND
½ point: Correct response for Bryce: No combination works.
AND
½ point: Give credit for the following or equivalent:
• All 4 combinations are checked:
7, 2, 10 : 7 + 2 < 10
7, 2, 19 : 7 + 2 < 19
2, 10, 19 : 2 + 10 < 19
7, 10, 19 : 7 + 10 < 19, or
• The smallest three numbers and the largest three numbers are checked as follows:
7, 2, 10: 7 + 2 < 10 (Work for 7, 2 ,19 is not required.)
7, 10, 19: 7 + 10 < 19 (Work for 2, 10, 19 is not required.)
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