Ms. Benedick, Relay Elementary School

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<H1 class=MsoNormal style="MARGIN: 0in 0in 0pt"><?xml:namespace prefix = o /><o:p>Class Instructional Sequence</o:p></H1>
We will have a "two-book" organization for our class this year. This will mean that I will be teaching two separate lessons from two different texts each day. 

Instruction follows a 5E lesson plan format: Engagement, Exploration, Explanation, Extension, and Evaluation. Lessons begin with an Engagement activity. This could be a prerequisite skill for a daily lesson, vocabulary review, or review of previously learned content to keep our skills sharp. The whole class will complete the Engagement as one group. 
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Then we move into Exploration. I will lead an activity that introduces the day's concept. Students will will be expected to explain their strategies and thinking as they worked to solve problems. Students will then complete a Quick Evaluation to determine extra help needs for the independent practice part of the Extension. The class will be assigned Extension activities based on their level of understanding. Finally, students will complete an Evaluation, and homework will be assigned.
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Lesson Progress</TD>
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Engagement </TD></TR>
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Exploration / Explanation
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Exploration & Practice 
w/ Partner or Group</TD>
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Exploration/Explanation</TD></TR>
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Explanation & Direct Instruction</TD>
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Evaluation, Quick Assessment</TD>
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Evaluation / Quick Check</TD></TR>
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Extension & Small Group Instruction</TD>
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Extension</TD></TR>
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Evaluation & Centers</TD>
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Small Group/Centers</TD></TR>
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<o:p>Blocks shaded in green are times when students will be working with the teacher, and unshaded blocks represent independent or partner/group work times. </o:p>
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<o:p></o:p><A href="http://teacherweb.com/MD/RelayElementarySchool/MsBenedick/hf3.stm">
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<H1 class=MsoNormal style="MARGIN: 0in 0in 0pt"><o:p>Centers</o:p></H1>
<H1 class=MsoNormal style="MARGIN: 0in 0in 0pt"><o:p></o:p></H1>
<o:p></o:p>To allow students to work on developing their Math skills and practice previously learned materials, there are Math Centers for students to use: Computation, Algebra, Geometry, Thinking Skills, Parts of a Whole, and Problem Solving. Students are assigned to activities and track progress on a monitoring chart.
<o:p></o:p><o:p><A href="http://teacherweb.com/MD/RelayElementarySchool/MsBenedick/hf3.stm">
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Newsletter

To keep parents informed about the math that we are studying, each unit will begin with a Unit Newsletter. It will explain the content we will cover in our unit of study, examples of the skills, applications, and suggestions for ways that students can practice. An electronic copy of the newsletters will be available on the Newsletter link at the top of the page.
<o:p></o:p><o:p><A href="http://teacherweb.com/MD/RelayElementarySchool/MsBenedick/hf3.stm">
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<H1 class=MsoNormal style="MARGIN: 0in 0in 0pt"><o:p>Grading</o:p></H1>
<H1 class=MsoNormal style="MARGIN: 0in 0in 0pt"><o:p></o:p></H1>
Students' grades are based on three components: Classwork, Tests & Quizzes, and Basic Facts, Skills Maintenance, & Homework. 
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Classwork</TD>
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Tests & Quizzes</TD>
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Skills & Homework</TD></TR>
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60%</TD>
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25%</TD>
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15%</TD></TR></TBODY></TABLE></DIV>
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Not all classwork will be graded, although all work will be reviewed for accuracy and completeness. Each unit has a unit test, also called a Summative Assessment or Short Cycle Assessment. 

<A href="http://teacherweb.com/MD/RelayElementarySchool/MsBenedick/hf3.stm">
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<H1 class=MsoNormal style="MARGIN: 0in 0in 0pt"><o:p>Tests</o:p></H1>
The tests include selected response items (SR, more commonly known as multiple choice) and constructed response (CR, BCR, ECR) items. The selected response items will be scored by a scanning machine, and I will score the constructed response items according to a scoring key. Six of our assessments are 'secured' documents, so you will receive the summary document created for parents, but the actual tests cannot leave the classroom. To view your child's paper, please let me know when you wish to come for a visit.


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<H1 class=MsoNormal style="MARGIN: 0in 0in 0pt"></H1>
<H1 class=MsoNormal style="MARGIN: 0in 0in 0pt">BCRs and ECRs </H1>
(Translation: Brief Constructed Responses and Extended Constructed Responses)

The constructed response items have two parts. In Part A, students answer the problem that is posed. Space is provided for students to work the problem. This 'figuring' should be left on the paper...please help me to break the students of a bad habit among many of them: They should NOT erase this figuring; it can be counted for points toward the explanation, Part B. 

In Part B the students write a brief explanation of the solution, including the steps to arrive at the solution and the math content that is used in the solution. Part B may ask students to explain how they determined their answer or why their answer is correct. BCRs that ask how may be explained in paragraph form or by providing a sequence of steps in the solution of the problem. BCRs that ask why may be explained in the same way, but the response must include a justification based on mathematical principles and connections. Both types of questions must close with a summary statement that includes the final answer.

A BCR is worth a total of 3 points: 1 point for a correct answer in Part A and 2 points for Part B. An ECR is worth a total of 4 points: 1 point for a correct answer to Part A and 3 points for the explanation in Part B. ECRs differ from BCRs in Part B; there will be an additional task required of students and students will recognize this from the format. The Part B task description will contain two bulleted items to address. The following shows a BCR and then two versions of an ECR based on the same problem.



<H1 class=MsoNormal style="MARGIN: 0in 0in 0pt">BCR</H1>

Part A
Find the average for this set of quiz scores: 100, 90, 85, 95, 90

92 

100 + 90 + 85 + 95 + 90 = 460

460 <SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">÷ 5 = 92
<SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">
<SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">Part B
<SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">Explain how you determined your answer.
<SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">Use what you know about finding averages in your response.
<SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">Use words, numbers, and/or symbols in your explanation.
<SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">
<SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">Add the scores: 100 + 90 + 85 + 95 + 90 = 460
<SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">Divide by 5 to distribute: 460 <SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">÷ 5 = 92
<SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA"><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">So, the average score is 92.
<SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">
<SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">This example shows that the student understands how to find an average. It is demonstrated by the application of an appropriate strategy and operations, resulting in a correct answer.
<SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">
<SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">
<H1 class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">ECRs</H1>
<H1 class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">Extension to Constructed Response, Example 1</H1>
<H1 class=MsoNormal style="MARGIN: 0in 0in 0pt"><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA"></H1>

Part A<?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /><o:p></o:p>
Find the average for this set of quiz scores: 100, 90, 85, 95, 90<o:p></o:p>
<o:p></o:p>
92 <o:p></o:p>
<o:p></o:p>
100 + 90 + 85 + 95 + 90 = 460<o:p></o:p>
<o:p></o:p>
460 ÷ 5 = 92<o:p></o:p>
<o:p></o:p>
Part B<o:p></o:p>
<UL style="MARGIN-TOP: 0in" type=disc>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: maroon; mso-list: l0 level1 lfo1; tab-stops: list .5in">Two more quizzes are taken. The scores are 80 and 90. Explain how the average might change.<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; mso-list: l0 level1 lfo1; tab-stops: list .5in">Explain how you determined your answer. Use what you know about finding averages in your response. Use words, numbers, and/or symbols in your explanation.<o:p></o:p></LI></UL>
To find an average, the total of all scores should be divided equally among the total number of quizzes. The total is the sum of the quizzes and division is used to divide the total among the quizzes:<o:p></o:p>
<UL style="MARGIN-TOP: 0in" type=disc>
<UL style="MARGIN-TOP: 0in" type=circle>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; mso-list: l0 level2 lfo1; tab-stops: list 1.0in">Add the scores: 100 + 90 + 85 + 95 + 90 = 460<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; mso-list: l0 level2 lfo1; tab-stops: list 1.0in">Divide by 5 to distribute: 460 ÷ 5 = 92</LI></UL>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; mso-list: l0 level2 lfo1; tab-stops: list 1.0in">So, the average score is 92.<o:p></o:p></LI></UL>
<o:p></o:p>To find out whether the average will change, the average needs to be determined with all seven scores:<o:p></o:p>
<UL style="MARGIN-TOP: 0in" type=circle>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; mso-list: l1 level1 lfo2; tab-stops: list .5in">Add the scores: 100 + 90 + 85 + 95 + 90 + 80 + 90 = 630 or 460 + 170 = 630</LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; mso-list: l1 level1 lfo2; tab-stops: list .5in">630 ÷ 7 = 90<o:p></o:p></LI></UL>
So, the average will go down to 90 over the seven quizzes. I also know the average will be lower because each of the scores being added are less than the mean of the original set, so the new average would have to be lower.


Extended Constructed Response, Example 2


Part A<o:p></o:p>
Find the average for this set of quiz scores: 100, 90, 85, 95, 90<o:p></o:p>
<o:p></o:p>
92 <o:p></o:p>
<o:p></o:p>
100 + 90 + 85 + 95 + 90 = 460<o:p></o:p>
<o:p></o:p>
460 ÷ 5 = 92<o:p></o:p>
<o:p></o:p>
Part B<o:p></o:p>
<UL style="MARGIN-TOP: 0in" type=disc>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: maroon; mso-list: l0 level1 lfo1; tab-stops: list .5in">Find the average if two more quizzes are taken with scores of 80 and 90. <o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; mso-list: l0 level1 lfo1; tab-stops: list .5in">Explain why your answer is correct. Use what you know about finding averages in your response. Use words, numbers, and/or symbols in your explanation.<o:p></o:p></LI></UL>
<o:p></o:p>
To find an average, the total of all scores should be divided equally among the total number of quizzes. The total is the sum of the quizzes, and division is used to divide the total among the quizzes:<o:p></o:p>
<UL style="MARGIN-TOP: 0in" type=disc>
<UL style="MARGIN-TOP: 0in" type=circle>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; mso-list: l0 level2 lfo1; tab-stops: list 1.0in">Add the scores for the total: 100 + 90 + 85 + 95 + 90 + 80 + 90 = 630<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; mso-list: l0 level2 lfo1; tab-stops: list 1.0in">Since there are seven scores, divide by 7 to distribute: 630 ÷ 7 = 90<o:p></o:p></LI>
<LI class=MsoNormal style="MARGIN: 0in 0in 0pt; COLOR: maroon; mso-list: l0 level2 lfo1; tab-stops: list 1.0in">So, the average score for these seven quizzes is 90.<o:p></o:p></LI></UL></UL><o:p></o:p>

The examples differ in the tasks the students were directed to complete in Part B and whether the students needed to explain how or why in their response. Remember that why items require a demonstration of understanding of underlying math principles and connections. 

Both BCR and ECR responses should be guided by the second statement in Part B that reads: 'Use what you know about ... in your response.' That statement is a clue to students about the math concepts that should be addressed in the response.
<A href="http://teacherweb.com/MD/RelayElementarySchool/MsBenedick/hf3.stm">
</A><A href="http://teacherweb.com/MD/RelayElementarySchool/MsBenedick/hf2.stm"><IMG title="" alt="Top Divider" src="http://teacherweb.com/MD/RelayElementarySchool/MsBenedick/stardivider.bmp" align=bottom border=0></A><A href="http://teacherweb.com/MD/RelayElementarySchool/MsBenedick/hf3.stm"></A>
<H1 class=MsoNormal style="MARGIN: 0in 0in 0pt">BCR Scoring</H1>

A rubric at <A href="http://www.mdk12.org/mspp/k_8/mathscoring_bcr.html">http://www.mdk12.org/mspp/k_8/mathscoring_bcr.html</A> shows more detail about the scoring explanations for a BCR (Brief Constructed Response) and the ECR (Extended Constructed Response and Extension to Constructed Response) is explained at ht<A href="http://www.mdk12.org/mspp/k_8/mathscoring_ecr.html">tp://www.mdk12.org/mspp/k_8/mathscoring_ecr.html</A> . This is my abbreviated version of the scoring keys. When you look at a scored BCR or ECR, please keep in mind that the response is scored for the demonstrated understanding of the math. The student's intent or skills observed in class have no bearing on the score.
<o:p></o:p>
<DIV align=center>
<TABLE class=MsoTableGrid style="BORDER-RIGHT: medium none; BORDER-TOP: medium none; MARGIN: auto auto auto -8.1pt; BORDER-LEFT: medium none; WIDTH: 463.5pt; BORDER-BOTTOM: medium none; BORDER-COLLAPSE: collapse; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-border-alt: solid windowtext .5pt; mso-yfti-tbllook: 480; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext" cellSpacing=0 cellPadding=0 width=618 border=1>
<TBODY>
<TR style="mso-yfti-irow: 0; mso-yfti-firstrow: yes">
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 1pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: windowtext 1pt solid; WIDTH: 53.65pt; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt" vAlign=top width=72>
Part A</TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 1pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt" vAlign=top>
Correct = 1 </TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 1pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt" vAlign=top>
Incorrect = 0 </TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 1pt solid; PADDING-LEFT: 5.4pt; BACKGROUND: #339966; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt" vAlign=top>
<o:p></o:p></TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 1pt solid; PADDING-LEFT: 5.4pt; BACKGROUND: #339966; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; WIDTH: 90.4pt; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=121>
<o:p></o:p></TD></TR>
<TR style="mso-yfti-irow: 1">
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: windowtext 1pt solid; WIDTH: 53.65pt; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=72>
Part B BCR “how” ?</TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top>
Complete understanding and analysis = 2 </TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top>
Partial or minimal understanding and analysis = 1 </TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top>
Incorrect, irrelevant or missing = 0 </TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; BACKGROUND: #339966; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; WIDTH: 90.4pt; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=121>
<o:p></o:p></TD></TR>
<TR style="mso-yfti-irow: 2">
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: windowtext 1pt solid; WIDTH: 53.65pt; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=72>
Part B BCR
“why” ?</TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top>
Complete understanding, analysis and justification = 2 </TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top>
Partial or minimal understanding, analysis and justification = 1 </TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top>
Incorrect, irrelevant or missing = 0 </TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; BACKGROUND: #339966; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; WIDTH: 90.4pt; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=121>
<o:p></o:p></TD></TR>
<TR style="mso-yfti-irow: 3">
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: windowtext 1pt solid; WIDTH: 53.65pt; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=72>
Part B ECR
“how” ?</TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top>
Comprehensive understanding and analysis = 3 </TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top>
General understanding and analysis = 2 </TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top>
Minimal understanding and analysis = 1 </TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; WIDTH: 90.4pt; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=121>
Incorrect, irrelevant or missing = 0 </TD></TR>
<TR style="mso-yfti-irow: 4; mso-yfti-lastrow: yes">
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: windowtext 1pt solid; WIDTH: 53.65pt; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=72>
Part B ECR
“why” ?</TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top>
Comprehensive understanding, analysis and justification = 3 </TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top>
General understanding, analysis and justification = 2 </TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top>
Minimal understanding, analysis and justification = 1 </TD>
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; WIDTH: 90.4pt; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=121>
Incorrect, irrelevant or missing = 0 </TD></TR></TBODY></TABLE></DIV>
<o:p></o:p>
<o:p></o:p><o:p><A href="http://teacherweb.com/MD/RelayElementarySchool/MsBenedick/hf3.stm"></A>
<A href="http://teacherweb.com/MD/RelayElementarySchool/MsBenedick/hf2.stm"><IMG title="" alt="Top Divider" src="http://teacherweb.com/MD/RelayElementarySchool/MsBenedick/stardivider.bmp" align=bottom border=0></A>
<A href="http://teacherweb.com/MD/RelayElementarySchool/MsBenedick/hf3.stm"></A>
<H1 align=left>Problem Solving Skills in Math</H1>

There is a problem solving process that we use in problem solving.
<UL>
<LI>
<DIV align=left>Preview the problem to get a sense of what it is about, what the question is, and what you are told.</DIV></LI>
<LI>
<DIV align=left>Read the problem more carefully and highlight, underline, or circle important information.</DIV></LI>
<LI>
<DIV align=left>Make the problem visual and analyze the problem -- use an organizer, draw a sketch or diagram, make a table or organized list, draw a representation of the problem using an appropriate manipulative, imagine acting it out, work backwards, guess and test, solve a simpler problem, write an equation, or find a pattern.</DIV></LI>
<LI>
<DIV align=left>Choose a strategy and solve the problem.</DIV></LI>
<LI>
<DIV align=left>Check whether your answer is reasonable and whether it is labeled.</DIV></LI>
<LI>
<DIV align=left>If time permits, try another way to solve the same problem and compare answers.</DIV></LI></UL>
Think of a problem as a story. Stories have a beginning, a middle, and an end; problems have a beginning, a middle, and an end or solution.
<UL>
<LI>
<DIV align=left>What is happening at the beginning of the story? Who or what is the story about? </DIV></LI>
<LI>
<DIV align=left>What is happening in the mddle of the story? What problem does the character have? What do you know about the problem? What does the story ask the character to do? </DIV></LI>
<LI>
<DIV align=left>How does the story end? Does the ending/solution make sense?</DIV></LI></UL>
Some problem solving strategies were suggested above: use an organizer, draw a sketch or diagram, make a table or organized list, draw a representation of the problem using an appropriate manipulative, imagine acting it out, work backwards, guess and test, solve a simpler problem, write an equation, or find a pattern.
<UL>
<LI>use an organizer - </LI>
<UL>
<LI>Addition & Subtraction: Parts and Total, Change, Comparison (missing part problems (start unknown, change unknown, answer unknown); </LI>
<LI>Multiplication & Division: Area Model, Array Model, Part/Whole (Fractional Parts), Comparison, Repeated Addition or Subtraction, and Ratio (working with groups (combining, breaking into groups, finding a difference, an amount repeated x many times)</LI></UL>
<LI>draw a sketch or diagram - when the problem gives information like a story or that can be pictured</LI>
<LI>make a table or organized list </LI>
<UL>
<LI>problems that give more than one set of data, or </LI>
<LI>problems that ask for data to be continued</LI></UL>
<LI>draw/solve with manipulatives </LI>
<UL>
<LI>choose an appropriate manipulative</LI>
<LI>if a test, draw the manipulatives</LI></UL>
<LI>act it out - for problems that could be acted out and can be visualized using people and actions</LI>
<LI>work backwards - </LI>
<UL>
<LI>when the end is given and the start amount or time is to be determined </LI>
<LI>problems that call for inverse operations (division problem with divisor or start unknown, multiplication with a missing factor, subtraction with missing start or change, or addition with a missing addend)</LI></UL>
<LI>guess and test - when the end is given and the parts must be found</LI>
<LI>solve a simpler problem - especially useful for fractional problems - solve using whole numbers and use the same operation and procedure with the fractional numbers in the actual problem</LI>
<LI>write an equation - when the information for two of three parts (start, change, answer) is provided and the operation is clearly understood</LI>
<LI>find/use a pattern - information suggests a pattern or asks to extend a pattern </LI></UL>

Here is an example of an ECR with an opportunity to use some problem solving strategy and process. Try putting it all together for a great response! Then try the BCR that follows.

<DIV align=center>
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<TBODY>
<TR style="mso-yfti-irow: 0; mso-yfti-firstrow: yes; mso-yfti-lastrow: yes">
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 1pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: windowtext 1pt solid; WIDTH: 6.15in; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt" vAlign=top width=590>

<DIV align=center>
<TABLE class=MsoTableGrid style="BORDER-RIGHT: medium none; BORDER-TOP: medium none; BACKGROUND: #ccded3; BORDER-LEFT: medium none; BORDER-BOTTOM: medium none; BORDER-COLLAPSE: collapse; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-border-alt: solid windowtext .5pt; mso-yfti-tbllook: 480; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-shading: windowtext; mso-pattern: thin-diag-cross #339966" cellSpacing=0 cellPadding=0 border=1>
<TBODY>
<TR style="HEIGHT: 531pt; mso-yfti-irow: 0; mso-yfti-firstrow: yes; mso-yfti-lastrow: yes">
<TD style="BORDER-RIGHT: windowtext 1pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 1pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0in; BORDER-LEFT: windowtext 1pt solid; WIDTH: 410.95pt; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; HEIGHT: 531pt; BACKGROUND-COLOR: transparent; mso-border-alt: solid windowtext .5pt" vAlign=top width=548>
<o:p></o:p>
<o:p>The wading pool at the community swim club is 30 feet wide and 20 feet long. There is a rectangular cement patio that surrounds the pool, extending ten feet from each side.</o:p>
<o:p></o:p>
<o:p>Part A</o:p>
<o:p>What is the perimeter of the patio?</o:p>
<o:p></o:p>
<o:p>_________ feet</o:p>
<o:p></o:p>
<o:p></o:p>
<o:p></o:p>
<o:p></o:p>
<o:p></o:p>
<o:p>Part B</o:p>
<UL>
<LI>
<DIV class=MsoNormal style="MARGIN: 0in 0in 0pt; tab-stops: 125.25pt"><o:p>Explain why your answer is correct. Use what you know about perimeter in your response. Use words and/or numbers in your response.</o:p></DIV></LI>
<LI>
<DIV class=MsoNormal style="MARGIN: 0in 0in 0pt; tab-stops: 125.25pt"><o:p>Determine the area of the patio and pool together. Explain how you determined your answer. Use what you know about problem solving and area in your response. Use words and/or numbers in your response.</o:p></DIV></LI></UL>
<o:p></o:p>
<o:p>
<TABLE class=MsoTableGrid style="BORDER-RIGHT: medium none; BORDER-TOP: medium none; BORDER-LEFT: medium none; BORDER-BOTTOM: medium none; BORDER-COLLAPSE: collapse; mso-padding-alt: 0in 5.75pt 0in 5.75pt; mso-yfti-tbllook: 480; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-border-top-alt: solid windowtext .5pt; mso-border-bottom-alt: solid windowtext .5pt" cellSpacing=0 cellPadding=0 border=1>
<TBODY>
<TR style="mso-yfti-irow: 0; mso-yfti-firstrow: yes">
<TD style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 5.75pt; BORDER-TOP: windowtext 1pt solid; PADDING-LEFT: 5.75pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; WIDTH: 6.15in; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt; mso-border-bottom-alt: solid windowtext .5pt" vAlign=top width=590>
<o:p></o:p></TD></TR>
<TR style="mso-yfti-irow: 1">
<TD style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 5.75pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.75pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; WIDTH: 6.15in; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt; mso-border-bottom-alt: solid windowtext .5pt" vAlign=top width=590>
<o:p></o:p></TD></TR>
<TR style="mso-yfti-irow: 2">
<TD style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 5.75pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.75pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; WIDTH: 6.15in; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt; mso-border-bottom-alt: solid windowtext .5pt" vAlign=top width=590>
<o:p></o:p></TD></TR>
<TR style="mso-yfti-irow: 3">
<TD style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 5.75pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.75pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; WIDTH: 6.15in; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt; mso-border-bottom-alt: solid windowtext .5pt" vAlign=top width=590>
<o:p></o:p></TD></TR>
<TR style="mso-yfti-irow: 4">
<TD style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 5.75pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.75pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; WIDTH: 6.15in; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt; mso-border-bottom-alt: solid windowtext .5pt" vAlign=top width=590>
<o:p></o:p></TD></TR>
<TR style="mso-yfti-irow: 5; mso-yfti-lastrow: yes">
<TD style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 5.75pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.75pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; WIDTH: 6.15in; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt; mso-border-bottom-alt: solid windowtext .5pt" vAlign=top width=590>
<o:p></o:p></TD></TR></TBODY></TABLE></o:p>
<o:p></o:p>
<o:p></o:p>
<o:p></o:p>
<o:p></o:p>
<o:p></o:p>
<o:p></o:p>
<o:p></o:p>
<o:p>The Party Store is having a special offer of one free balloon for every four party favors that customers buy. Abby got 5 free balloons to use to decorate for her party, and her party favors cost her $15.75. </o:p>
<o:p></o:p>
<o:p>Part A</o:p>
<o:p>How many packages of party favors did Abby buy?</o:p>
<o:p></o:p>
<o:p>_______ packages</o:p>
<o:p></o:p>
<o:p></o:p>
<o:p></o:p>
<o:p></o:p>
<o:p>Part B</o:p>
<o:p>Explain how your found your answer.</o:p>
<o:p>Use what you know about problem solving in your response.</o:p>
<o:p>Use words, numbers, and/or symbols in your response.</o:p>
<o:p></o:p>
<o:p></o:p>
<o:p></o:p>
<o:p>
<TABLE class=MsoTableGrid style="BORDER-RIGHT: medium none; BORDER-TOP: medium none; BORDER-LEFT: medium none; BORDER-BOTTOM: medium none; BORDER-COLLAPSE: collapse; mso-padding-alt: 0in 5.75pt 0in 5.75pt; mso-yfti-tbllook: 480; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-border-top-alt: solid windowtext .5pt; mso-border-bottom-alt: solid windowtext .5pt" cellSpacing=0 cellPadding=0 border=1>
<TBODY>
<TR style="mso-yfti-irow: 0; mso-yfti-firstrow: yes">
<TD style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 5.75pt; BORDER-TOP: windowtext 1pt solid; PADDING-LEFT: 5.75pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; WIDTH: 6.15in; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt; mso-border-bottom-alt: solid windowtext .5pt" vAlign=top width=590>
<o:p></o:p></TD></TR>
<TR style="mso-yfti-irow: 1">
<TD style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 5.75pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.75pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; WIDTH: 6.15in; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt; mso-border-bottom-alt: solid windowtext .5pt" vAlign=top width=590>
<o:p></o:p></TD></TR>
<TR style="mso-yfti-irow: 2">
<TD style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 5.75pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.75pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; WIDTH: 6.15in; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt; mso-border-bottom-alt: solid windowtext .5pt" vAlign=top width=590>
<o:p></o:p></TD></TR>
<TR style="mso-yfti-irow: 3; mso-yfti-lastrow: yes">
<TD style="BORDER-RIGHT: #ece9d8; PADDING-RIGHT: 5.75pt; BORDER-TOP: #ece9d8; PADDING-LEFT: 5.75pt; PADDING-BOTTOM: 0in; BORDER-LEFT: #ece9d8; WIDTH: 6.15in; PADDING-TOP: 0in; BORDER-BOTTOM: windowtext 1pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt; mso-border-bottom-alt: solid windowtext .5pt" vAlign=top width=590>
<o:p></o:p></TD></TR></TBODY></TABLE></o:p>
<o:p></o:p>
<o:p></o:p><o:p></o:p>
<o:p></o:p></TD></TR></TBODY></TABLE></DIV>
<o:p></o:p><o:p></o:p></TD></TR></TBODY></TABLE></DIV>
</o:p>

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Ms. Benedick, Relay Elementary School

Math Class