<TestItem CLASS="ssmc" METHOD="list">

<Stem>
  <Paragraph><Sentence>
Maddie has come up with an idea for a community project. During month 1 of the project, she performs 
three helpful tasks, one task for each of three people. She tutors her brother in math, rakes leaves 
for her neighbor, and replaces the chain on her friend's bicycle. In turn, she asks each person she 
helps to help out three new people during month 2. By the end of month 2, nine new tasks are accomplished, 
and nine people are each ready to help three new people during month 3. The plan is for the project 
to continue in this fashion.
</Sentence></Paragraph>
  <Paragraph><Sentence>
  If everyone participates as planned, how many new tasks would be accomplished in month 5?
  </Sentence></Paragraph>
</Stem>
<Distractor_list>
  <Distractor><Paragraph><Sentence>729</Sentence></Paragraph></Distractor>
  <Distractor><Paragraph><Sentence>81</Sentence></Paragraph></Distractor>
  <Distractor><Paragraph><Sentence>243</Sentence></Paragraph></Distractor>
  <Distractor><Paragraph><Sentence>15</Sentence></Paragraph></Distractor>
  <Distractor><Paragraph><Sentence>45</Sentence></Paragraph></Distractor>	
</Distractor_list>
<key TYPE="SSMC">
    <response  SCORE="0" EVIDENCEVAL="0">
        <observable>1</observable>
        <feedback TYPE="Student">Sorry, that's not right, but you are close. You correctly figured out 
        how many new tasks would be accomplished in month 6. In month 5, there will be 243 new tasks 
        accomplished (3<sup>5</sup> = 243).</feedback>
        <feedback TYPE="Teacher">The student probably raised the exponent
 by one too many. Instead of calculating the number of new tasks accomplished in month 5 (3<sup>5</sup> = 243), the student calculated the number of new tasks accomplished in month 6: 3<sup>6</sup> = 729</feedback>
    </response>
    <response  SCORE="0" EVIDENCEVAL="0">
        <observable>2</observable>
        <feedback TYPE="Student">Sorry, that's not right, but you are close. You correctly figured out 
        how many new tasks would be accomplished in month 4. In month 5, there will be 243 new tasks 
        accomplished (3<sup>5</sup> = 243).</feedback>
        <feedback TYPE="Teacher">The student probably raised the exponent
 by one too few. Instead of calculating the number of new tasks accomplished in month 5 (3<sup>5</sup> = 243), the student calculated the number of new tasks accomplished in month 4: 3<sup>4</sup> = 81</feedback>
    </response>
    <response  SCORE="1" EVIDENCEVAL="1">
        <observable>3</observable>
        <feedback TYPE="Student">Correct, good job!</feedback>
        <feedback TYPE="Teacher">Student has answered correctly: 3<sup>5</sup> = 243.</feedback>
    </response>
    <response  SCORE="0" EVIDENCEVAL="0">
        <observable>4</observable>
        <feedback TYPE="Student">Sorry, that's not right. If three additional tasks were completed each month, 
        your answer would be correct. But each month, each new participant performs three new tasks. 
        In month 5, there will be 243 new tasks accomplished (3<sup>5</sup> = 243).</feedback>
        <feedback TYPE="Teacher">The student multiplied 3 * 5 = 15, instead of rasing 3 to the 5th power (3<sup>5</sup> = 243).</feedback>
    </response>
  <response  SCORE="0" EVIDENCEVAL="0">
        <observable>5</observable>
        <feedback TYPE="Student">Sorry, that's not right. By the end of the third month, 9 * 3 = 27 new tasks 
        are completed. By the end of the fourth month, 27 * 3 = 81 new tasks are completed. In month 5, 
        there will be 243 new tasks accomplished which is 3<sup>5</sup> = 243.</feedback>
        <feedback TYPE="Teacher">The student probably multiplied 9 (the number of new tasks completed in month 2) by 5 (number of months).</feedback>
    </response>
  </key>	
<Metadata>
    <AeL ItemNode="tVerbalRuleExtendModelGeometric1a" Difficulty="1">
        <PMNode LINK="true">ExtendGeometric</PMNode>
	<PMNode LINK="true">VerbalRuleGeometric</PMNode>
	<PMNode>ModelGeometric</PMNode>
    </AeL>
</Metadata>
 
</TestItem>
