School Improvement in Maryland

Public Release Item: Public Release items have appeared on HSA forms and then are released for public viewing and use. Releasing items is one step to ensuring that schools, districts, and other stakeholders understand how the core learning goals are assessed on the HSA.

Goal 1 Functions and Algebra

Expectation 1.2 The student will model and interpret real-world situations using the language of mathematics and appropriate technology.

Indicator 1.2.4 The student will describe how the graphical model of a non-linear function represents a given problem and will estimate the solution.

Assessment Limits:

  • The problem is to be in a real-world context.
  • The function will be represented by a graph.
  • The equation of the function may be given.
  • The features of the graph may include maxima/minima, zeros (roots), rate of change over a given interval (increasing/decreasing), continuity, or domain and range.
  • “Zeros” refers to the x-intercepts of a graph, “roots” refers to the solution of an equation in the form p(x) = 0.
  • Functions may include step, absolute value, or piece-wise functions.

Selected Response Item - Released in 2004

Two ships travel in the Chesapeake Bay. The graph below shows the distance between the two ships during the time the ships travel.

How many minutes have the ships traveled when the distance between them is the shortest?

  1. 10 minutes
  2. 20 minutes
  3. 40 minutes
  4. 60 minutes
/share/clg/xml/public_release/mathematics/2004_124_alg01.xml

Correct Answer:
C

Selected Response Item - Released in 2004

Donna drives from Baltimore to Miami. The total time, in hours, of Donna's trip depends on her speed, in miles per hour. This relationship is shown in the graph below.

Approximately, how much longer does the trip take if Donna drives 55 miles per hour than if she drives 70 miles per hour?

  1. 2 hours
  2. 6 hours
  3. 15 hours
  4. 21 hours
/share/clg/xml/public_release/mathematics/2004_124_alg21.xml

Correct Answer:
B

Selected Response Item - Released in 2003

A family travels at a constant speed during a road trip. After 3 hours, they stop for 2 hours to eat and rest. They then continue for 4 more hours at the same speed.

Which of these graphs best represents this situation?





/share/clg/xml/public_release/mathematics/2003_124_alg03.xml

Correct Answer:
B

Selected Response Item - Released in 2003

Jane dives off a platform into a diving pool. The platform is 10 meters above the water. The graph below shows the relationship between her height above the water and her distance, in meters, from the platform.

How far away from the platform is Jane when she enters the water?

  1. 1 meter
  2. 4 meters
  3. 10 meters
  4. 11 meters
/share/clg/xml/public_release/mathematics/2003_124_alg27.xml

Correct Answer:
B

Student Produced Response (SPR) Item - Released in 2001

Use the answer box below to complete the following:

The scatter plot below shows the rabbit population in Smith Field during 1998.

What was the minimum rabbit population in Smith Field during 1998?

/share/clg/xml/public_release/mathematics/2001_124_alg37.xml

Correct Answer:
4.8-5.2

Selected Response Item - Released in 2001

The profit that a shoe manufacturer makes is related to the number of pairs of shoes ordered, as shown in the graph below.
How many pairs of shoes must be ordered for the manufacturer to make the greatest profit?

  1. 60
  2. 100
  3. 1,600
  4. 3,100
/share/clg/xml/public_release/mathematics/2001_124_alg04.xml

Correct Answer:
A

Selected Response Item - Released in 2001

Jane threw a ball into the air. The graph below shows the relationship between the number of seconds that the ball was in the air and the height of the ball.
How many seconds after Jane threw the ball did the ball hit the ground?

  1. 1 second
  2. 1.2 seconds
  3. 2.5 seconds
  4. 5 seconds
/share/clg/xml/public_release/mathematics/2001_124_alg26.xml

Correct Answer:
C

Selected Response Item - Released in 2002

Doug makes a rectangular dog pen using 8 yards of fencing. The graph below shows the relationship between the width of the pen and the area of the pen.

In the ordered pair (2, 4), what does the y-coordinate represent?

  1. maximum area of the pen
  2. maximum width of the pen
  3. maximum length of the pen
  4. maximum perimeter of the pen
/share/clg/xml/public_release/mathematics/2002_124_alg01.xml

Correct Answer:
A

Selected Response Item - Released in 2005

In 1999, first-class postage for items that weighed up to one ounce was $0.33. Each additional ounce (or fraction of an ounce) cost $0.22 as shown in the graph below.

What was the cost to mail a letter that weighed 2.8 ounces?

  1. $0.33
  2. $0.55
  3. $0.77
  4. $0.99
/share/clg/xml/public_release/mathematics/2005_124_alg19.xml

Correct Answer:
C

Selected Response Item - Released in 2005

The path of a tennis ball follows the curve given in the graph below.

How far does the ball travel horizontally before it hits the ground?

  1. 4 yards
  2. 5 yards
  3. 8 yards
  4. 15 yards
/share/clg/xml/public_release/mathematics/2005_124_alg22.xml

Correct Answer:
D

Selected Response Item - Released in 2006

The graph below shows the average professional baseball salary from 1989 through 1998.

Based on the graph, between which two years did the average salary have a negative rate of change?

  1. 1989 to 1990
  2. 1992 to 1993
  3. 1993 to 1994
  4. 1994 to 1995
/share/clg/xml/public_release/mathematics/2006_124_alg11.xml

Correct Answer:
D

Selected Response Item - Released in 2006

The graph below shows the cost of a long-distance telephone call for various lengths of time.

What is the cost of a 5one half - minute long-distance telephone call?

  1. $0.56
  2. $0.77
  3. $0.84
  4. $0.98
/share/clg/xml/public_release/mathematics/2006_124_alg35.xml

Correct Answer:
C

Selected Response Item - Released in 2007

The graph below shows Tanya's distance from home during the day.

After leaving home at 8:00 a.m. when is Tanya at home again?

  1. between 9:00 a.m. and 10:00 a.m.
  2. between 11:00 a.m. and 12:00 noon
  3. between 1:00 p.m. and 2:00 p.m.
  4. between 3:00 p.m. and 4:00 p.m.
/share/clg/xml/public_release/mathematics/2007_124_alg24.xml

Correct Answer:
C

Selected Response Item - Released in 2007

John is at the beach, 2 miles away from his house. The graph below shows the time it takes John to walk home from the beach.

According to the graph, during what time interval is John walking the fastest?

  1. 0 to 10 minutes
  2. 15 to 25 minutes
  3. 30 to 40 minutes
  4. 45 to 55 minutes
/share/clg/xml/public_release/mathematics/2007_124_alg34.xml

Correct Answer:
B
Resources for 1.2.4:
Skill Statements | PUBLIC RELEASE ITEMS |