Math

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Performance Assessment Task    

 Performance Assessment Task # 3

Linear 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 solved Major Revisions are required.

Scoring Guide

#

Criteria

Ratings

1

Learner provided a summary of the student profile.

 A                                 F

2

Learner correctly calculated the total cost of their Berkeley college education.

A   B+   B   C+   C     F

3

Learner correctly calculated the total amount of their college student loans based on their profile.

A     B+   B   C+   C     F

4

Learner correctly provided the linear equation describing their monthly loan balance

A     B+   B    C+   C    F

5

Learner correctly graphed the equation describing their monthly loan balance

A     B+   B    C+   C    F

6

Learner correctly provided the equation describing their monthly student loan payment

A     B+   B    C+   C    F

7

Learner correctly graphed the equation describing their monthly student loan payment

A     B+   B    C+   C    F

8

The learner identified their potential job and  entry level salary they are likely to get after graduating

A                                  F

9

The learner correctly calculated their annual raise

A     B+   B    C+   C    F

10

The learner correctly provided the equation describing their annual salary

A     B+   B    C+   C    F

11

The learner correctly graphed the equation describing their annual salary

A     B+   B    C+   C    F

 

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 # 3 Grade:________________

 

 

Comments/Feedback:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Linear Equations 
Overview                    This PERFORMANCE ASSESSMENT TASK  is designed to assess the learner’s 
                                     ability to interpretanalyze, and graph linear equations 
Attitude(s)                 confident, inquisitive, engaged, satisfied
Skill(s)                                   Supplemental Material

                                         · add, subtract, multiply, divide whole numbers

                                         · simplify numerical expressions (order of operations)

Vocabulary                title, axis, scale, positive slope, negative slope, zero slope, x-intercept , y-intercept, 
                                      vertical intercept, horizontal intercept, 

Evaluator        
            Instructor/Learner 
Format                                    Presentation (Hand-in)
                                     
Directions for learner

 

A-   In this section of this performance assessment task, you are required to estimate the annual cost of your college education by first completing your student profile.

To complete your student profile, take the following steps:

1)    Go to “ http://berkeleycollege.financialaidtv.com/

2)    Go to the “Finances” tab and scroll down to find the “Net Price Calculator”

3)    Click on the net price calculator and complete the student profile based on your personal information.

4)    Submit the resulted student profile as your answer to part A.  (Hint:  You are advised to visit the site before you attempt to formally complete the survey so that you can be prepared to correctly answer the questions. Please note that the student is not required to use their personal information for this activity.)

 

B-   NEW YORK (CNN-Money) – “Students graduating from college last year walked away with more than a diploma, they also left with a record level of student loan debt. College seniors who took out loans to fund their college education owed an average of $25,250, according to a report from the Institute for College Access & Success' Project on Student Debt.”

 

Based on your student profile,

1)    Calculate the total cost of your Berkeley College education.

 (Hint: Total cost = Annual cost x Total years at Berkeley College)

 

2)     Calculate the total amount of your student loans for your Berkeley college education. (Hint: Total amount of the loan = Annual loan amount x Total years at Berkeley College.) (If no loans were required, please enter a loan amount between $10,000 and $25,250)

 

C-   Student Loan Payment:

1.     Use http://www.finaid.org/calculators/loanpayments.phtml/   to estimate your monthly payment on your total amount of your student loans (stated in B part 2), based on a 10-year repayment plan with an interest rate of 3.5%.

 

2.     Write a linear equation describing your monthly student loan balance.

 

3.     Make a table of values describing the monthly loan balance for the first six months.

 

4.     Use paper and pencil or any graphing software to draw the graph of the equation.

 

5.     State a linear equation describing that you pay the same amount for your student loan every month.  (This monthly amount should be the same as stated in C part 1)

 

6.     Use paper and pencil or any graphing software to draw the graph describing your monthly student loan payment.

 

D-   Employment and linear equation

According to research, an entry-level job is a job that is normally designed or designated for recent graduates of a given discipline, and does not require prior experience in the field or profession. Entry-level jobs which are targeted at college graduates often offer a higher salary. These positions are more likely to require specific skills and knowledge. Most entry-level jobs offered to college graduates are full-time permanent positions, and some offer more extensive graduate training programs.

7.     According to your educational goals, what type of jobs are you expecting to get after graduating from Berkeley College?

 

8.     What is the potential entry level salary you are likely to receive in your field of employment? (You may use the website listed below or any other appropriate websites as a source of information:http://www.salary.com/category/salary/)

 

9.     Assume that you receive $1,975 raise annually for the first five years of employment, provide a linear equation describing the condition of your annual salary in your field.

 

10.  Make a table of values describing your annual salary for the first five years of employment.

 

11.  Use paper and pencil or any graphing software to draw the graph of the equation describing the condition of your annual salary.

 

Performance Assessment Task # 3

Linear Equations LEARNER SELF-ASSESSMENT

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 solved Major Revisions are required.

 

Scoring Guide

#

Criteria

Ratings

1

Learner provided a summary of the student profile.

A                                    F

2

Learner correctly calculated the total cost of their Berkeley college education.

A    B+    B    C+    C     F

3

Learner correctly calculated the total amount of their college student loans based on their profile.

A    B+    B    C+    C     F

4

Learner correctly provided the linear equation describing their monthly loan balance

A    B+    B    C+    C     F

5

Learner correctly graphed the equation describing their monthly loan balance

A    B+    B    C+    C     F

6

Learner correctly provided the equation describing their monthly student loan payment

A    B+    B    C+    C     F

7

Learner correctly graphed the equation describing their monthly student loan payment

A    B+    B    C+    C     F

8

The learner identified their potential job and  entry level salary they are likely to get after graduating

A                               F

9

The learner correctly calculated their annual raise

A    B+    B    C+    C      F

10

The learner correctly provided the equation describing their annual salary

A    B+    B    C+    C      F

11

The learner correctly graphed the equation describing their annual salary

A    B+    B    C+    C      F

 

Continue on to the next part of the self-assessment only after you’ve successfully completed 1-11 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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