Double A Computer Repair Company by vvp81194

VIEWS: 21 PAGES: 16

									              Double A
       Computer Repair Company

                               Mathematics
                                Module




                                 Grades 7-8

                           By
                        Val Jones
                     MAP Senior Leader

East Buchanan C-1 School District

  Northwest Regional MAP Center

Fourth Edition: Performance-Based Assessments for Classroom Use: Missouri Assessment Program, 2001-2002

                                                                                                          25-1
                              Double A
                       Computer Repair Company

Purpose: The purpose of this event is to have students practice computations and making
decisions, all within given restraints. In addition, students will practice explaining their
ideas in words.

Subject: Mathematics

Show-Me Standards Addressed:
     Knowledge: MA1, MA4
     Performance: 4.1, 3.3

Grade Level: 7-8

Materials and resources needed for Module:
Module packet.

Time needed:
20 - 25 minutes.

Instruction for Administration:
None.

Pre-Assessment Instructions:
Students must have a working knowledge of percents prior to doing this event.




        Fourth Edition: Performance-Based Assessments for Classroom Use: Missouri Assessment Program, 2001-2002

                                                                                                                  25-2
                               Double A
                        Computer Repair Company
                    Student Response Sheet #1
Anna and Alfonzo, two eighth graders, are starting their own computer company,
the Double A Computer Repair Company. They plan to repair personal computers
in the basement of Alfonzo’s house. The following group of questions are about
this venture.




1. The dimensions of the room in which Anna and Alfonzo plan to work are 21 feet
by 12 feet. What is the total area, in square feet, of this room?
      a. 33
      b. 66
      c. 252
      d. 126




2. The last five computers that Anna and Alfonzo fixed tool a total of 4.5 hours.
What is their average repair time per computer?
      a. 92 minutes
      b. 54 minutes
      c. 60 minutes
      d. 270 minutes




        Fourth Edition: Performance-Based Assessments for Classroom Use: Missouri Assessment Program, 2001-2002

                                                                                                                  25-3
                               Double A
                        Computer Repair Company
                    Student Response Sheet #2
3. The work table that Alfonzo’s father plans to buy as a gift for the new company
is going on sale soon and will be discounted 20%. If the original price is $259,
what will be the discounted price for the table?
       a. $207.20
       b. $51.80
       c. $259.00
       d. $310.80




4. Choose which algebraic expression best describes the following statement:
Three times the sum of the number of computers and 6 is equal to 110.
     a. 3(c-6) = 110
     b. 3c + 6 = 110
     c. c + 6(3) = 110
     d. 3(c + 6) = 110




        Fourth Edition: Performance-Based Assessments for Classroom Use: Missouri Assessment Program, 2001-2002

                                                                                                                  25-4
                               Double A
                        Computer Repair Company
                    Student Response Sheet #3
5. Anna and Alfonzo must order some equipment to start their business. They will
need 10 connection cords that cost $3.50, one computer table priced at $250, five
boxes of envelopes at $1.50 each, and one electric fan for $27.50. Fill out in full
the order form below and show all these purchases. Find the total that Anna and
Alfonzo will owe for this particular order, including the 7% sales tax.

     Item                          Quantity       Price per unit                        Total




                                                                                 Subtota l:
                                                                                 + 7%ta x:
                                                                                    T otal:




        Fourth Edition: Performance-Based Assessments for Classroom Use: Missouri Assessment Program, 2001-2002

                                                                                                                  25-5
                              Double A
                       Computer Repair Company
                   Student Response Sheet #4
6. Anna has done some research and has developed an algebraic equation that
describes the amount of profit they will make. In the equation given below, P
stands for profit, and x stands for the number of computers on which they
work. If Anna and Alfonzo take in 15 computers, how much profit does Anna
expect them to make according to her equation? Show all your work in the space
provided below.

                                          P = 27.5x - 18.75




       Fourth Edition: Performance-Based Assessments for Classroom Use: Missouri Assessment Program, 2001-2002

                                                                                                                 25-6
                               Double A
                        Computer Repair Company
                    Student Response Sheet #5
7. Anna and Alfonzo are going to have some business cards made up for their
company. They wish to have a small logo on the cards, as well as the following
words:

              Double A Computer Repair
              Owners: Anna Grapelli and Alfonzo Corattoni

Use the information given in the chart below to calculate how much 100 cards will
cost.
                           Item                  Cost (per card)
                   S m all logo                             $.01 each

                   Large logo                               $.02 each

                   Letters                                 $.005 each

                   Num bers                                $.002 each

                   Punctuation m arks                       no charge


Use the space provided below to show how you arrived at your answer.




        Fourth Edition: Performance-Based Assessments for Classroom Use: Missouri Assessment Program, 2001-2002

                                                                                                                  25-7
                               Double A
                        Computer Repair Company
                    Student Response Sheet #6
8. Last year, Alfonzo borrowed $300 from Aunt Maria to buy spare computer
parts. Aunt Maria told him she would charge 8% simple interest for a 6 month
loan. Using the formula I = PRT, calculate the total amount that Alfonzo owed
his aunt at the end of the six months. Show all your work in the space provided
below.




9. Anna and Alfonzo have agreed that they will charge their customers for the cost
of the parts needed plus $25 for every hour of labor. Find what they should
charge a customer if the parts cost $79, and if it takes 1 1/2 hours to complete the
job. Show all your work in the area provided below.




        Fourth Edition: Performance-Based Assessments for Classroom Use: Missouri Assessment Program, 2001-2002

                                                                                                                  25-8
                               Double A
                        Computer Repair Company
                    Student Response Sheet #7
10. Anna’s father, Mr. Grapelli, would like to help the two young people get their
company started by giving them a gift of $1500; however, Mr. Grapelli wants to
make sure that the kids spend the money wisely. He has given them the following
restrictions on how the money should be used:

      Tools and equipment                            at least 30% of the money
      Advertising                                    between 20% and 30% of the money
      Savings account in bank                        at least 30% of the money

You are asked to figure how much money Anna and Alfonzo should spend in
which areas. Use the information below to help you make your choices.


       Radio Ad’s:                                                 Television Ad’s:
         30 seconds                $300                              30 seconds                 $500
         60 seconds                $500                              60 seconds                 $750




                                  Newspaper Ad’s:
                                   1/16 page      $200
                                   1/8 page       $300
                                   1/4 page       $450




                       Tools and Equipment:
                         Electronics Tool Box                          $400
                        Office Supply Kit                              $250
                        Office Chair                                   $139
                        Office Sign                                    $145



        Fourth Edition: Performance-Based Assessments for Classroom Use: Missouri Assessment Program, 2001-2002

                                                                                                                  25-9
                              Double A
                       Computer Repair Company
                   Student Response Sheet #8
11. Use the space below to show all your calculations. Assume that Anna and
Alfonzo will spend the entire $1500.




        Fourth Edition: Performance-Based Assessments for Classroom Use: Missouri Assessment Program, 2001-2002

                                                                                                                  25-10
                              Double A
                       Computer Repair Company
                   Student Response Sheet #9
12. Finally, in the space provided below, write a friendly letter to Anna and
Alfonzo, telling them about the decisions that you would suggest to them. Make
sure to included in your letter the choices that you made as well as the reasons
why these choices fit the restrictions that Mr. Grapelli has given them.




        Fourth Edition: Performance-Based Assessments for Classroom Use: Missouri Assessment Program, 2001-2002

                                                                                                                  25-11
                               Double A
                        Computer Repair Company
                                    Scoring Guides
Item 1: Selected Response
Content: MA2          Standard:
        Correct Answer: C

Item 2: Selected Response
Content: MA3          Standard:
        Correct Answer: B

Item 3: Selected Response
Content: MA1          Standard:
        Correct Answer: A

Item 4: Selected Response
Content: MA4          Standard:
        Correct Answer: D


Item 5: Constructed Response
Content: MA1, MA5         Standard: 1.8, 1.10

Examples of Correct Response:
      It e m                       Q uant it y       P rice pe r unit                 T o t al

      Connection Cords                      10                     $3.50            $35.00
      Computer Table                             1              $250.00            $250.00
      Box of envelopes                           5                 $1.50             $7.50
      Electric Fan                               1               $27.50             $27.50




                                                                               S ubtotal:        $320.00
                                                                                + 7 % tax:        $22.40
                                                                                   T otal:       $342.40

Scoring Guide:
       2 points          Correct Response.

       1 point           Order form filled out in full, one calculation error OR correct total, not all
                         parts filled out in order form.

       0 points          Other.

         Fourth Edition: Performance-Based Assessments for Classroom Use: Missouri Assessment Program, 2001-2002

                                                                                                                   25-12
                                Double A
                         Computer Repair Company
                                     Scoring Guides
Item 6: Constructed Response
Content: MA1, MA4         Standard: 3.2

Examples of Correct Response:

       (P = 27.5x - 18.75)
       (P =) 27.5 X 15 (# of computers) - 18.75
         (=) 412.5 - 18.75
        (=) ($) 393.75
                OR other valid response


Scoring Guide:
       2 points          Correct Response.

       1 point           Correct process with error in calculation
                                 OR
                         Correct answer only, no work shown.

       0 points          Other.




Item 7: Constructed Response
Content: MA1, MA3         Standard: 3.3, 1.5

Examples of Correct Response:

       58 (letters) X .005 (each) = .29 (total for letters)
       .29 (for letters) + .01 (for small logo) = ($) .30 (per card)
       ($) .30 (per card) X 100 (cards) = $30 (Total)
                OR other valid response


Scoring Guide:
       2 points          Correct Response.

       1 point           Correct process with error in calculation
                                 OR
                         Correct answer only, no work shown.

       0 points          Other.


         Fourth Edition: Performance-Based Assessments for Classroom Use: Missouri Assessment Program, 2001-2002
                                                                                                                   25-13
                                Double A
                         Computer Repair Company
                                     Scoring Guides
Item 8: Constructed Response
Content: MA1, MA5         Standard: 3.3

Examples of Correct Response:

       (I = PRT)
       ($) 300 X .08 X .5 (years) = $12
               AND
       ($) 300 + ($) 12 = ($) 312
               OR other valid response


Scoring Guide:
       2 points          Correct Response.

       1 point           Correct process with error in calculation
                                 OR
                         Correct answer only, no work shown.

       0 points          Other.



Item 9: Constructed Response
Content: MA1        Standard: 3.3

Examples of Correct Response:

       1.5 (hr) X ($) 25 = ($) 37.50
       ($) 79 (parts) + ($) 37.50 (labor) = ($) 116.50 (Total)
                OR other valid response


Scoring Guide:
       2 points          Correct Response.

       1 point           Correct process with error in calculation
                                 OR
                         Correct answer only, no work shown.

       0 points          Other.




          Fourth Edition: Performance-Based Assessments for Classroom Use: Missouri Assessment Program, 2001-2002

                                                                                                                    25-14
                                Double A
                         Computer Repair Company
                                     Scoring Guides

Item 10: Performance Event/Task
Content: MA1, CA4         Process: 4.1, 3.3

Examples of Correct Response:
     30% X $1500 = .3 X 1500 = $450
     20% X $1500 = .2 X 1500 = $300

                 AND

Choices: Students must have evidence of choices made. These MUST be present in the letter and
MAY be present where they are to show their work. The following are acceptable choices:
       Advertising: must be between $300 and $450, so student may choose between a 30 second
       radio ad for $300, a 1/8 page newspaper ad for $300, or a 1/4 page newspaper ad for $450.
       Tools and Equipment: At least $450, so a combination of at least two items.
       Savings: At least $450.

Totals: Students MUST have a total for their choices that is less than or equal to $1500.
        For Example: $300 (1/8 page newspaper ad)
                      $400 (Tool box)
                      $250 (Repair kit)
                      $550 (Savings)
                      $1500 (Total)

                 AND

Letter: Students will have a letter that addresses their choices for the three areas of advertising, tools
and equipment, and savings, with valid justifications for each of those choices. For example, “You should
choose the 1/4 page newspaper ad because it is $300, and that amount is between 20% and 30%,” and
so on. Accept all reasonable justifications if they are based on the given restrictions.




         Fourth Edition: Performance-Based Assessments for Classroom Use: Missouri Assessment Program, 2001-2002

                                                                                                                   25-15
                                 Double A
                          Computer Repair Company
                                      Scoring Guides
Scoring Guide:
       4 Points:          The student’s response fully addresses the performance event. The response:
                          * demonstrates knowledge of the mathematical concepts and principles needed
                          to complete the event.
                          * communicates all process components that lead to an appropriate and
                          systematic solution.
                          * may have only minor flaws with no effect on the reasonableness of the solution.

       3 Points:          The student’s response substantially addresses the performance event. The
                          response:
                          * demonstrates knowledge of the mathematical concepts and principles needed
                          to complete the event.
                          * communicates most process components that lead to an appropriate and
                          systematic solution.
                          * may have only minor flaws with no effect on the reasonableness of the
                          solution.

       2 Points:          The student’s response partially addresses the performance event. The response:
                          * demonstrates a limited knowledge of the mathematical concepts and principles
                          needed to complete the event.
                          * communicates some process components that lead to an appropriate and
                          systematic solution.
                          * may have flaws or extraneous information that indicates some lack of
                          understanding or confusion.

       1 Point:           The student’s response minimally addresses the performance event. The
                          response:
                          * demonstrates a limited knowledge of the mathematical concepts and principles
                          needed to complete the event.
                          * communicates few or no process components that lead to an appropriate and
                          systematic solution.
                          * may have flaws or extraneous information that indicates some lack of
                          understanding or confusion.

       O Points:          Other -- Responses not addressed by the Condition Codes:
                          Work consists of copying the prompt information only.
                          Work indicates no mathematical understanding of the task.




          Fourth Edition: Performance-Based Assessments for Classroom Use: Missouri Assessment Program, 2001-2002

                                                                                                                    25-16

								
To top