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Open-Ended Template

 

Names:

Stephanie Bunson

 

Juanita Dymszo

 

Denise Krol

 

JoAnn Parrish

 

Jane Zawacki

 

Grade Level:  6 – 8

 

Content Area: Numbers, Number Systems, and Number Relationships

 

PA Standard(s) addressed: 2.1.8.A

NCTM standard(s) addressed: Understand meaning of operations and how they relate to one another.

Understand the meaning and effects of arithmetic operations with fractions, decimals, and integers.

Problem Name:  Pizza Party

 

 

Problem: 

A class of thirty students is having a pizza party.  The chart below shows the fraction of the class and the number of slices of pizza each student ordered.

 

 

 

A.  How many slices of pizza should be ordered?

 

B.  Each slice of pizza cost $1.25.  What is the total cost?

 

 

                           Class                     Slice(s)

            1/6

              1

            1/3

              2

            1/2

              3

 

 

 

 

 

 

Directions:  To get full credit the student must show or describe each step of their work, 

                    even if they did it in their head (mental math) or used a calculator.  The

                    student must write an explanation stating the mathematical reason(s) why

                    they chose each of the steps.

 

 

 

Problem Name:  Pizza Party

 

Grade Level:  6-8

Content Area: Numbers, Number Systems, and Number Relationships

 

Problem Solution:

 

 

 

 

1.)    1/3  x 30/1= 10

        1/6  x 30/1 = 5

             1/2 x 30/1 = 15

1.)To find the # of students

    for 1,2, or3 slices:

   multiply fractions and #

    of   students in class.

Calculation error: using the reciprocal for the fractions.

Ex. 3/1 x 30/1 = 90

 

 

2.)10 x 2 = 20

5 x 1 = 5

15 x 3 = 45

 

     20 + 5 + 45 = 70 slices

 

2.)  To find total amount of slices needed:  multiply # of students and the # of slices.

Then add up the totals .

 

 

 

3.) 70 x $1.25 = $87.50

 

 

 

 

 

3.)To find the total cost of Pizza slices:  multiply # of slices and the money.

Possible calculation error:

   Placement of decimal incorrect.  $8.75 or $875.00

 

 

 

 

 

 

 

 

 

Problem Name: PIZZA PARTY

 

 

 

 

Grade Level:  6 – 8       

Content Area:  Numbers, Number Systems, and Number Relationships

 

 

Specific Rubrics:

 

 

 

 

5

 

Correct answers with correct procedures and calculations shown or described and an explanation.  Must show multiplication of fraction times whole number to find number of students and multiplication of whole number times decimal to find total cost of slices.  Correct money form must be used.

 

4

Correct answer with all 3 correct procedures and calculations     shown AND some explanation.

 

3

A. 

Correct answer with most correct procedures and calculations shown or described AND some or no explanation.

 

B.

Incorrect answer with correct procedures shown or described   with some explanation, but with one calculation or copying error carried through. (Example 70 x 1.25 = $8.75)

 

2

A. 

Correct answer, at least 1 correct procedure shown with some explanation.

 

B.

Incorrect answer, with at least 2 correct procedures and       calculations and at least some explanation.

 

1   

A. 

Correct answer to either the number of students, total number of slices, or total cost with illegible or missing procedures, calculations, or explanations.

B.

Incorrect answer with at least one correct procedure or calculation shown.

 

0

Incorrect answer with no correct procedure, calculation, or explanation shown or described.

 

 

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