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HSPA Math Macro 4a: Recognizing, creating, and extending a variety of patterns

Sample Open-ended Item #2


Analyze the pattern below.  What letter will be in the 76th position?  Show your work and explain your answer.

M A T H M A T H M A T H M A …

"0" Response | "1" Response | "3" Response | Top


"0" Response

This response scored a "0" because it does not present the correct answer, and it show little understanding of using appropriate math to figure out patterns.

"0" Response | "1" Response | "3" Response | Top


"1" Response

These responses scored a "1" because they don't apply the appropriate logic to predicting letters based on the pattern, though a limited understanding is identified through the correct math equation employed.

  "0" Response | "1" Response | "3" Response | Top


"3" Response

This response scored a "3" because the answer is correct and the explanation clearly indicates that the proper calculations and logic were employed.  

"0" Response | "1" Response | "2" Response | "3" Response | Top-


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