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MCAP, Maryland Comprehensive Assessment Program

This page shows questions in the Math 3 Modeling public release module at MSDE. 3rd Grade Math
"Math 3 Modeling"

Select from the list to explore. Read any associated passages and then interact with the questions here.

Expand All Official Practice Test

This is a multiple choice question that allows you to select several options.

Wylie Elementary School has students in 1st through 6th grade.

The table shows the number of present and absent students for different grades on a certain day.

School Attendance
Grade Number of Students Present Number of Students Absent
2nd grade 185 14
3rd grade 104 13
4th grade 196 18

Which two questions could be answered based on the information in the table?

Select the two correct answers.

  1. A.
    What is the total number of students in the school?
  2. B.
    What is the total number of students who are in the 1st grade?
  3. C.
    What is the total number of students who are in the 4th grade?
  4. D.
    What is the total number of absent students on that day in the 2nd grade and the 3rd grade?
  5. E.
    What is the total number of present students on that day in the 5th grade and the 6th grade?

This is a multiple choice question that allows you to select only one option.

A gardener has a rectangular garden.

  • The length of the garden is 6 feet.
  • The width of the garden is 3 feet.

Which expression could be used to find the area, in square feet, of the garden?

  1. A.
    6+3
  2. B.
    6−3
  3. C.
    6×3
  4. D.
    6÷3

This is a test question that allows you to enter extended text in your response.

A pet store owner built two rectangular dog pens next to each other.

The picture shows the floors of the two dog pens.

The figure shows two rectangles next to each other. One rectangle has a length of 8 feet and a width of 6 feet. One rectangle has a length of 10 feet and a width of 9 feet.

The pet store owner will cover the floors of the dog pens with concrete.

What is the total area, in square feet , of the floors of the two dog pens?

Enter your answer and your work or explanation in the space provided. You may also use the drawing tool to help explain or support your answer.

Drawing Box

There is no alt-text. (37 files were searched.)

Holistic Rubric for 3-Point Modeling Constructed Response Items

Sample Top Score Response

The area of the smaller rectangle that is 8 × 6 is 48 square feet.

The area of the larger rectangle that is 10 × 9 is 90 square feet.

The area of both rectangles is 48 + 90 = 138 square feet.

Points

Sample Characteristics

3 Points

A three-point response provides full and complete evidence of the modeling process used to solve a real-world problem.

The response may:

  • identify the problem that needs to be solved.
  • determine information that is needed to solve the problem.
  • communicate an accurate, organized solution path that is aligned to the problem using appropriate, effective, and precise representations.
  • contain minor flaws that do not detract from correct modeling or demonstration of a thorough understanding.
  • evaluate or validate a partial or complete solution and show how to improve or refine the solution.

2 Points

A two-point response provides partial evidence of the modeling process used to solve a real-world problem.

The response may:

  • partially identify the problem that needs to be solved.
  • determine some of the information that is needed to solve the problem.
  • include a partial solution path that may be incomplete.
  • contain some errors in identifying the mathematics that is needed to solve the problem.
  • evaluate or validate a partial or complete solution and attempt to improve or refine the solution.

1 Point

A one-point response provides limited evidence of the modeling process used to solve a real-world problem.

The response may:

  • partially or incorrectly identify the problem that needs to be solved.
  • determine a minimal amount of the information that is needed to solve the problem.
  • include an incomplete or unorganized solution path.
  • contain errors in identifying the mathematics that is needed to solve the problem.
  • contain the correct solution, but work is limited or missing.
  • evaluate or validate a partial or complete solution but does not show how to improve or refine the solution.

0 Point

A zero-point response is completely incorrect, incoherent or irrelevant.

This is a multiple choice question that allows you to select only one option.

A gym teacher took some bags of soccer balls to the soccer field.

The teacher put 6 soccer balls in each bag.

What other information is needed to find how many bags of soccer balls the teacher took to the field?

  1. A.
    the total number of students in the gym class
  2. B.
    the total number of players on the school’s soccer team
  3. C.
    the total number of soccer balls the teacher took to the field
  4. D.
    the total number of soccer balls each group of students will get

This is a question with 2 parts, including a test question that allows you to enter extended text in your response.

Rafael will cover a rectangular board with square labels. He will buy packages of square labels. Each package contains 6 labels of the same size.

The following figure shows the side lengths of the board and of one label.

The figure shows a diagram of a board and a label. The board is 12 inches long and 8 inches wide. The label is 1 inch long and 1 inch wide.

Part A

What is the least number of labels Rafael needs to cover the board? Show your work or explain how you found your answer.

Enter your answer and your work or explanation in the space provided. You may also use the drawing tool to help explain or support your answer.

Part B

What is the least number of packages of labels Rafael should buy? Show your work or explain how you found your answer.

Enter your answer and your work or explanation in the space provided. You may use the drawing tool to help explain or support your answer.

Drawing Box

There is no alt-text. (37 files were searched.)

Holistic Rubric for 3-Point Modeling Constructed Response Items

Sample Top Score Response

Part A

The number of labels that Rafael needs is found by calculating the area of the board. The area is calculated by multiplying the length by the width of the board. The length is 12 inches and the width is 8 inches. The area, in square inches, of the board is 8×12=96. The area, in square inches, of each label is 1×1=1. The number of labels needed to cover the board is 96.

Part B

The least number of packages of labels is found by dividing the number of labels by the number of labels in each package. Rafael needs 96 labels. There are 6 labels in each package. 96÷6=16 So, Rafael needs 16 packages of labels.

Points

Sample Characteristics

3 Points

A three-point response provides full and complete evidence of the modeling process used to solve a real-world problem.

The response may:

  • identify the problem that needs to be solved.
  • determine information that is needed to solve the problem.
  • communicate an accurate, organized solution path that is aligned to the problem using appropriate, effective, and precise representations.
  • contain minor flaws that do not detract from correct modeling or demonstration of a thorough understanding.
  • evaluate or validate a partial or complete solution and show how to improve or refine the solution.

2 Points

A two-point response provides partial evidence of the modeling process used to solve a real-world problem.

The response may:

  • partially identify the problem that needs to be solved.
  • determine some of the information that is needed to solve the problem.
  • include a partial solution path that may be incomplete.
  • contain some errors in identifying the mathematics that is needed to solve the problem.
  • evaluate or validate a partial or complete solution and attempt to improve or refine the solution.

1 Point

A one-point response provides limited evidence of the modeling process used to solve a real-world problem.

The response may:

  • partially or incorrectly identify the problem that needs to be solved.
  • determine a minimal amount of the information that is needed to solve the problem.
  • include an incomplete or unorganized solution path.
  • contain errors in identifying the mathematics that is needed to solve the problem.
  • contain the correct solution, but work is limited or missing.
  • evaluate or validate a partial or complete solution but does not show how to improve or refine the solution.

0 Point

A zero-point response is completely incorrect, incoherent or irrelevant.

This is a test question that allows you to enter extended text in your response.

A farmer has a field with 4 rows of apple trees.

There are 9 trees in each row.

Write an expression that could be used to find the total number of apple trees the farmer has in the field.

Enter your expression in the space provided. Enter only your expression.