Variable Equations COVER SHEET

 

Rating scale

A          The solution shows a deep understanding of the problem including the ability to identify the appropriate mathematical concepts and the information necessary for its solution. Student applies procedures accurately to correctly solve the problem.

B+        The solution shows that the student has a broad understanding of the problem and the major concepts necessary for its solution. Mathematical procedures were used, and correct answer may not have been achieved. Minor Revisions are suggested but not required.

B          The solution shows that the student has a good understanding of the problem and the major concepts necessary for its solution. Mathematical procedures were used, but correct answer may not have been achieved. Some Revisions are suggested, but not required

C+        The solution shows that the student has more than a basic understanding of the problem and the major concepts necessary for its solution. Mathematical procedures were used, but correct answer was not achieved. Revisions are required.

C          The solution addresses some, but not all of the mathematical components presented in the task. There is some evidence of mathematical reasoning. Student could not completely carry out mathematical procedures. Revisions are required.

F          There is no solution, or the solution addresses none of the mathematical components presented in the task. There were so many errors in mathematical procedures that the problem could not be solvedMajor Revisions are required.

Scoring Guide

#

Criteria

Ratings

1

Learner correctly computed the Grade Point Average (GPA). A   B+   B   C+   C   F

2

Learner correctly completed the temperature tables A   B+   B   C+   C   F

3

Learner correctly specified an item, its price and web address where the information was found. A   B+   B   C+   C   F

4

Learner correctly solved equation to determine  % of pay to be saved A   B+   B   C+   C   F

5

Learner correctly simplified the equation and solved it to determine the final cost after the tax A   B+   B   C+  C    F

6

Learner correctly created and solved an equation to determine the minimum number of weeks of savings required to be able to buy the item of interest. A   B+   B   C+  C    F

7

Learner correctly stated an appropriate amount of monetary gift A                              F

8

Learner correctly identified the bank , interest rate, and the compounding method for the investment A   B+   B   C+  C    F

9

Learner correctly calculated the maturity amount and the interest earned on the investment A   B+   B  C+  C     F

 

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Student’s Name:_____________________________                  Date:_____________________

 

Overall Grade Guidelines:

 A         The solutions show a deep understanding of the problems including the ability to identify the appropriate mathematical concepts and the information necessary for their solutions. Student applies procedures accurately to correctly solve the problems.

B+        The solutions show that the student has a broad understanding of the problems and the major concepts necessary for their solutions. Mathematical procedures were used, and correct answers may not have been achieved. Minor Revisions are suggested but not required.

B          The solutions show that the student has a good understanding of the problems and the major concepts necessary for their solutions. Mathematical procedures were used, but correct answers may not have been achieved. Some Revisions are suggested, but not required

C+        The solutions show that the student has more than a basic understanding of the problems and the major concepts necessary for their solutions. Mathematical procedures were used, but correct answers may not have been achieved. Revisions are required.

C          The solutions address some, but not all of the mathematical components presented in the task. There is some evidence of mathematical reasoning. Student could not completely carry out mathematical procedures. Revisions are required.

F          There are no solutions, or the solutions unsatisfactorily address the mathematical components presented in the task. There were so many errors in mathematical procedures that the problems could not be solved Major Revisions are required.

 

Instructor’s Signature:________________________      PAT # 2 Grade:________________

 

Comments/Feedback:

 

 

 

 

 

 

 

 

 

 

 

Variable Equations

Overview        This PERFORMANCE ASSESSMENT TASK is designed to assess the learner’s

ability to perform integer operations, to evaluate algebraic expressions and solve issues in real life situations using equations

Attitude(s):    confident, inquisitive, engaged, and satisfied.

Skill(s):          Perform operations dealing with real numbers with an emphasis on integers.

Evaluate variable expressions.

Simplify variable expressions containing no parentheses (order of operations)

Simplify variable expressions containing parentheses & solve equations.

 

Vocabulary    integersimplify, variable, constant, expression, solve, solution, equations,                              formulas, translate, terms, coefficient, like terms, commutative, associative,                                distributive,  property, sum, difference, product, quotient, ratio, data, datum

Evaluator        Instructor/Learner

Format                        Presentation (Hand-in)

Directions for learner

This performance assessment task has four sections: GPA Calculation, temperature conversions, solving equations, and compounding interest.  You must satisfactorily complete all sections to gain credit for this assignment.

Section 1: Computation of Grade Point Average (GPA)   (Using data in your education)

To compute the GPA for the quarter, each letter grade is converted to the grade point equivalent listed in your course syllabus, section entitled as Berkeley College Grading System.  Then, that grade point is multiplied by the number of credits designated for the course.  This procedure is followed for each course.

Next, the number of grade point equivalents for all courses is added.  That total is then divided by the total number of credits attempted for the quarter.  The result is the quarter GPA.

Your task is to compute your Grade Point Average (GPA) for your first quarter at Berkeley College if you received the following grades as described below:

COURSES TAKEN NUMBER OF CREDITS GRADES RECEIVED AT THE END OF THE QUARTER
Financial Accounting I 4 Credits B+
Business Organization & Management 4 Credits C+
English 105 4 Credits B
College Algebra 4 Credits C

A)   Use the above table to calculate the student‘s first quarter Grade Point Average (GPA) at Berkeley College.

 

B) In order for full time students to be eligible for the President list, they must have a GPA of 4.0 for the quarter.  Based on your GPA calculation, were you eligible for the President’s list? What grade did you need to get in all your classes to be eligible for the President’s list?

 

C) In order for full time students to be eligible for the Dean’s list, they must have at least a GPA of 3.5 for the quarter.  Based on your GPA calculation, were you eligible for the Dean’s list? What grade (s) would you need to change, if any, to meet the criteria for the Dean’s list?

 

Section 2: Temperature Conversions

Facts:

Countries That Use Celsius Today

  • Nearly all of the countries in the world use the Celsius system. These include most of Africa, South America, Asia, the Middle East Australia and Europe. In the early 1970s, the United Kingdom switched from Fahrenheit to Celsius.

Countries that Do Not Use Celsius

  • Fahrenheit has remained the official scale of temperature for both the United States and Belize. Some Central American countries use American measurements for weights and volumes, but measure temperature in Celsius. Additionally, Canada has retained Fahrenheit as a secondary temperature system.

 

In this section, you will use an external source of information such as the internet to get six different high temperatures for six different locations. The first three data you gather will be the temperature using the Fahrenheit scale (F).  Then you will convert the Fahrenheit temperature (F) to Celsius temperature (C) to complete table 1.

The next three data you gather must be the temperature using the Celsius temperature (C). Then you will convert the Celsius temperature (C) to Fahrenheit temperature (F) to complete table 2.

You will need to know the following formula:

Celsius temperature is five ninths the difference of Fahrenheit temperature and thirty-two

C = (5/9)(F-32)

First, fill in your data in Fahrenheit temperature in this table, except for the last column where you need to convert from Fahrenheit temperature to Celsius temperature. (WORK MUST BE SHOWN).

Table 1

Observation

Source of information

(Web site)

Date of

Predicted Temperature

Location of

Predicted Temperature

Temperature in Fahrenheit

Temperature in Celsius

1

2

3

 

Second, fill in your data in Celsius temperature in this table, except for the last column where you need to convert from Celsius temperature to Fahrenheit temperature. (WORK MUST BE SHOWN).

Use F = (9/5) C + 32

Table 2

Observation

Source of information

(Web site)

Date of

Predicted Temperature

Location of

Predicted Temperature

Temperature in Celsius

Temperature in Fahrenheit

1

2

3

 

 

 

Section 3: Solving equations (Using data to make your best shopping decision)

  1. If you have or had a job, write down the approximate net amount that you get (got) paid each week. If you never had a job make an estimate of how much you could get paid working in your spare time.

 

  1. Assume that you will save $37.50 each week from your net pay.  Calculate the percent of your net weekly pay that you will be saving.

 

  1. Decide on an item that you would like to buy (that usually cost over $299.99).  Conduct a search to find the best price for this item. State the item, the sale price and the Web site where you found the item for this particular price.

 

 

  1. NJ has a 7 % sales tax rate and the NY sales tax rate is 8 ¼ %.
    1. In what state do you usually do most of your shopping?

 

  1. Calculate the final, after-tax, price that you will pay for the item.

 

  1. Assuming that you already had $50 saved, substitute all the known quantities into the formula that follows to create an equation with one unknown value. Solve the equation and determine the minimum number of weeks that you will need to save in order to have enough money to purchase this item.

(Final Price) = (Weekly Savings) (number of weeks) + (Amount already saved).

Note the minimum number of weeks must be a whole number correctly.

Section 4- Using data to make your best investment decision

 

The average total monetary gifts that high school graduates received range from $500 to $6,000 inclusively.

To celebrate your high school graduation, you received several monetary gifts from your family and friends. Assume that the total amount of monetary gifts you received fall between the stated range.

 

a)     How much monetary gift did you receive?

 

b)     You decided to invest your money by opening a 2-year Certificate of Deposit (CD).  Search the following website to investigate which bank will give you the best offer.  Identify the bank and describe the offer by identifying the interest rate, minimum amount required and the method of compounding.    http://cdrates.bankaholic.com/

 

 

c)      How much money would you have in your account at the end of the 2-year period?

 

 

d)     How much interest would you receive on your investment?

 

Variable Equations LEARNER SELF-ASSESSMENT COVER SHEET

Performance Assessment Task # 2

 

Rating scale

A          The solution shows a deep understanding of the problem including the ability to identify the appropriate mathematical concepts and the information necessary for its solution. Student applies procedures accurately to correctly solve the problem.

 

B+        The solution shows that the student has a broad understanding of the problem and the major concepts necessary for its solution. Mathematical procedures were used, and correct answer may not have been achieved. Minor Revisions are suggested but not required.

B          The solution shows that the student has a good understanding of the problem and the major concepts necessary for its solution. Mathematical procedures were used, but correct answer may not have been achieved. Some Revisions are suggested, but not required

C+        The solution shows that the student has more than a basic understanding of the problem and the major concepts necessary for its solution. Mathematical procedures were used, but correct answer was not achieved. Revisions are required.

C          The solution addresses some, but not all of the mathematical components presented in the task. There is some evidence of mathematical reasoning. Student could not completely carry out mathematical procedures. Revisions are required.

F          There is no solution, or the solution addresses none of the mathematical components presented in the task. There were so many errors in mathematical procedures that the problem could not be solvedMajor Revisions are required.

 

 

Scoring Guide

#

Criteria

Ratings

1

Learner correctly computed the Grade Point Average (GPA). A   B+   B   C+     C   F

2

Learner correctly completed the temperature tables A   B+   B   C+     C   F

3

Learner correctly specified an item, its price and web address where the information was found. A   B+   B   C+    C   F

4

Learner correctly solved equation to determine  % of pay to be saved A   B+   B   C+    C   F

5

Learner correctly simplified the equation and solved it to determine the final cost after the tax A   B+   B   C+    C   F

6

Learner correctly created and solved an equation to determine the minimum number of weeks of savings required to be able to buy the item of interest. A   B+   B   C+    C   F

7

Learner correctly stated  an appropriate amount of monetary gift A                               F

8

Learner correctly identified the bank , interest rate, and the compounding method for the investment A   B+   B   C+    C   F

9

Learner correctly calculated the maturity amount and the interest earned on the investment A   B+   B   C+   C   F

 

Continue on to the next part of the self-assessment only after you’ve successfully completed 1-9 above.

 

 

 

Strongly

Agree

Agree

Neutral

Disagree

Strongly Disagree

I found this PAT challenging          
This PAT improved/strengthened my confidence in my

ability to perform the skills required of me

         
This PAT was interesting to me          
I believe the content covered on this PAT was relevant to

my future academic success

         
I enjoyed completing this PAT          
I am satisfied with my performance on this PAT          

 

 

 

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