7th Grade Math

Preparing for Standardized Tests 667

Preparing for

Standardized Tests

Extended Response: Scoring Points

In order to receive all possible points for an extended-response question, an

answer must be correct and all work must be shown. An example of a full-credit

answer to one part of an extended-response question is shown below.

Daniela has a corkboard with a 2-centimeter wide frame

2 cm

1.35 m

0.90 m

around it, as shown at the right. She wants to paint the

frame in her school colors. About how many square inches

will Daniela need to paint? Use 1 meter ≈ 39.4 inches.

• Full Credit: 4 points
  A =  · w
  A 1 = 1.35 m · 0.90 m = 1.215 m^2
  A 2 = (1.35 m - 0.02 m - 0.02 m) · (0.90 m - 0.02 m - 0.02 m)
  A 2 = 1.31 · 0.86 m = 1.1266 m^2
  A 1 - A 2 = 1.215 m^2 - 1.1266 m^2 = 0.0884 m^2
  1 m^2 ≈ 1552.36 in^2 —0.0884 mˇ^2 · _ 1552.36 in^2
  1 m^2

≈ 137.2 in^2

• Partial Credit: 3 points
  All work is shown, but an incorrect conversion factor is used, so answer is incorrect.


• Partial Credit: 2 points
  The steps shown are incorrect, answer is incorrect.


• Partial Credit: 1 point
  No work is shown, answer is incorrect.

A company sells cylindrical tins of popcorn in two sizes. The

large tin has a diameter of 20 centimeters and a height of

25 centimeters. The small tin has a diameter of 12 centimeters

and a height of 18 centimeters. About how many more cubic

inches of popcorn does the larger tin hold than the smaller

tin? Use 1 centimeter ≈ 0.39 inch.

If you find that you cannot

answer every part of an

extended-response

question, do as

much as you can.

You may earn partial credit.

e

ucannnot

of an

e e

All work is shown,

answer is correct.

667_669_C11_STP_895130.indd 667 12/30/09 4:45 PM