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The next meeting of the
District Governing Board
is scheduled for
Jan. 13, 2009, at 1 p.m.
at District Headquarters
in Palatka
.

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Project WET:

AfterMath

FCAT-like practice questions

Download AfterMath questions as a .pdf pdf icon

Project WET - Water Education For Teachers

Questions

Use the grid below to answer the next three questions. Each square on the grid represents a home or a business that had losses due to a flood. The amount of the loss each home or business had is written inside each square. The line that goes between the squares represents a river that flooded.

Math Chart describing flood monetary losses

1. Grades 3-5/6-8 Mathematics Selected Response Item

What percentage of the homes and businesses had losses from $50,000 through $60,000?

A. 55%
B. 45%
C. 20%
D. 11%

2. Grades 3-5/6-8 Mathematics Selected Response Item

What is the median amount of loss for all the homes and businesses?

A. $55,000
B. $52,000
C. $50,000
D. $48,000

3. Grades 3-5/6-8 Mathematics Constructed Response Item

In the space below, make a prediction about losses in relationship to the river. Also, make a hypothesis that would explain your prediction.

4. Grades 6-8 Language Arts Constructed Response Item

In the space below, write a paragraph that compares and contrasts the economic losses and the environmental benefits of a flood.



Responses

1. Correct Response: A. 55% (11/20 : X/100)

B. 45% — Student mistakenly selects losses below $50,000.
C. 20% — Student mistakes the total number of homes and businesses for the percent from $50,000 through $60,000.
D. 11% — Student does not translate raw data into a percentage.

Benchmarks: Grades 3-5 — MA.A.3.2.2, MA.A.3.2.3; Grades 6-8 — MA.A.3.3.2, MA.A.3.3.3

Difficulty Level: Grades 3-5 — Medium; Grades 6-8 — Easy

2. Correct Response: C. $50,000

A. $55,000 — Student mistakes mode for median.
B. $52,500 — Student averages the central two numbers on the grid — $55,000 + $50,000 / 2 = $52,500.
C. $50,000 — $50,000 + $50,000 / 2 = $50,000
D. $48,000 — Student mistakes mean for median.

Benchmarks: Grades 3-5 — MA.E.1.2.1, MA.E.1.2.2; Grades 6-8 — MA.E.1.3.2

Difficulty Level: Grades 3-5 — Medium; Grades 6-8 — Easy

3. Grades 3-5/6-8 Mathematics Constructed Response Item

Sample Top-Scoring Response

According to the grid, the homes closest to the river will sustain the highest losses. This is probably because floodwaters are higher and cause more damage closer to the river.

2-Point Response

1. Student predicts that losses are directly proportional to proximity to the river.
2. Student makes a reasonable hypothesis to support the prediction such as higher floodwaters, lower elevation, construction in a flood plain, etc.

1-Point Response

1. Student predicts that losses are directly proportional to proximity to the river.
2. Student makes an unreasonable hypothesis to support the prediction, such as “It’s really dumb to build next to a river” or “Only really rich people build next to a river.”

OR

1. Student does not note the proportional relationship of losses to proximity.
2. Student makes a reasonable hypothesis to support the faulty prediction.

OR

1. Student does not note the proportional relationship of losses to proximity.
2. Student makes no hypothesis.

Benchmarks: Grades 3-5 — MA.E.1.2.3, MA.E.2.2.2, MA.E.3.2.2; Grades 6-8 — MA.E.1.3.3, MA.E.2.3.2, MA.E,3.3.1

Difficulty Level: Grades 3-5 — Medium; Grades 6-8 — Easy

 

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