Scoring Criteria - For Students

State Team Problem 1998: Bank Loan Experience

The following are suggestions of what to look for when scoring student papers. Each part of the scoring rubric given to the students has been expanded to include suggestions of what you might look for in each category. This is to be used as a guide and is not necessarily all inclusive. The content area for this problem is Algebraic Sense.

The student will understand and apply concepts and procedures of mathematics

To meet this standard, the student will understand and apply Algebraic Sense

Operations

4 points max

Option 2

=> Shows complete understanding of loan option 2 and the evaluation of formulas => Shows consistent and correct use of applicable information and procedures uses the correct number of months for each loan adds the new loan amounts at the correct times uses the monthly interest rate of .01 => Evaluates and simplifies expressions accurately monthly payments to the nearest cent total interest paid + one dollar total amount paid + one dollar average monthly payment + one dime

4 points max

Option 3

=> Shows complete understanding of loan option 3 and the evaluation of formulas => Shows consistent and correct use of applicable information and procedures uses the correct number of months for each loan applies 5% finance charge correctly adds the new loan amounts at the correct times uses the monthly interest rate of .01 => Evaluates and simplifies expressions accurately monthly payments to the nearest cent total interest paid + one dollar total amount paid + one dollar average monthly payment + one dime

4 points max

Option 4

=> Shows complete understanding of loan option 4 and the evaluation of formulas => Shows consistent and correct use of applicable information and procedures uses the correct number of months for each loan adds the new loan amounts at the correct times uses the monthly interest rate of .015 => Evaluates and simplifies expressions accurately computes the correct monthly payment amount of between $306-$307 total amount paid between $36,720 and $36,840 total interest paid between $11,720 and $11,840

Relations and Representations - translates between tables and graphs and displays information completely and accurately

4 points max	Option 1 - Graph
	=> Graph titled, axes labeled, and scales labeled => Minimum points plotted at year 0 and year 10 => Graph is accurate scales are appropriate scales are consistent

4 points max	Option 2 - Graph
	=> Graph titled, axes labeled, and scales labeled => Minimum points plotted at year 0, year 3, year 5, year 7, and year 10 => Graph is accurate scales are appropriate scales are consistent

4 points max	Option 3 - Graph
	=> Graph titled, axes labeled, and scales labeled => Minimum points plotted at year 0, year 3, year 5, year 7, and year 10 => Graph is accurate scales are appropriate scales are consistent

The student will use mathematical reasoning

To meet this standard, the student will analyze information - interpret and integrate information from all four options

4 points max

=> Lists at least one advantage for each option based on computations, summary, and graphs

Option 1: Constant payments, no hassle of getting additional loans, more money up front to use if necessary Option 2: Lowest total payback, lowest total interest, lowest average monthly payment Option 3: Payments start low and increase with additional loans which tends to correspond to growth of new company, lower average monthly payment than option 1 Option 4: Consistent payment, payment lower than option 1, no refinance charges, no loan paperwork

4 points max	=> Lists at least one disadvantage for each option based on computations, summary, and graphs
	Option 1: More interest than any other option Option 2: Highest payments are at beginning when business is just beginning, Option 3: Includes refinance charges, for the last 3 years has the highest monthly payment of any option Option 4: Higher interest rate than the other options, total interest paid is higher than option 2

4 points max	Draw conclusions and verify results - supports arguments and checks for graphs
	=> State recommended loan option => Gives comprehensive support for recommended loan option (May use advantages and/or disadvantages listed above)

In this section you are looking for effective ways that students use to communicate their reasoning with applications and procedures as outlined above.

The student will communicate knowledge and understanding in both everyday and mathematical language

To meet this standard, the student will:

4 points max	Organize and interpret information
	demonstrate interpretations and understanding in a clear, systematic and organized manner => clearly organized and neatly written charts for each of the four options option 4 information is organized, neat, and clear => neatly drawn and clearly labeled graphs of each of the options => analysis of loan options is organized and clear

4 points max

Represent and share information

represent mathematical information and ideas in an effective format => the overall format of the presentation of information in report form for the Board of Directors is effective the report appears as an integrated whole - parts do not look like cut and paste use of extra columns on summary sheet scales on all three graphs are the same for comparison purposes presentation of option 4 presentation of the analysis of the loan options

Total points

÷ 11 =

truncate =>

Rating

Each category will receive a score of 4, 3, 2, 1, or 0 based on the following table:

4 - meets or exceeds all relevant criteria

3 - meets most relevant criteria

2 - meets some relevant criteria

1 - meets few relevant criteria

0 - not scoreable: off topic, no attempt, can't read, etc.

• Placement of students for awards should be on total points.
• Students receive a score of 0 to 4 to indicate their overall performance on the problem.

(Example: If the total points received is 39, divided by 11 is 3.55, and then is truncated to a score of 3, which means they met most relevant criteria in solving the problem)