IntroductionOpen Response Question from MCAS Exam 2001, Grade 10

#22

The following is an “Open Response” question. It is important to practice these types of questions in preparation for the the State Mandated MCAS. This exercise will help you walk through the process. There will also be some reference links to assist you.

How to Answer an Open Response Question

Be sure to:Read all parts of each question

carefully.Make each response as clear,

complete and accurate as you can.

Check all your work!

TopicUnderstand measurable attributes of objects and the units, systems, and processes of measurementApply appropriate techniques, tools, and formulas to determine measurements

Question #22

Students at Viking High School decide to have T-shirts made with a blue “V” inside a gold rectangle as shown in the diagram above.The costs are as follows:•plain T-shirt $8.50 •blue coloring $0.02 per square inch •gold coloring $0.04 per square inch

Link back to part C

A. What is the area of the blue “V” in the diagram below? Show your work.

Helpful Hints:o What shapes are shown?o What formulas would be useful? o What operation would you associate with cutting the gold away from the blue?o Show your work!

Link to formula sheet

B. Explain how you can determine the area that will be colored gold.

Helpful Hints:o Use complete sentences!o What formulas would be useful? o How could you use your answer from part A to answer part B?

Link to formula sheet

C. What is the total cost for each T-shirt shown below? Show your work

Helpful Hints:o Remember to include the cost of all items that are needed to create the T-shirt? Link to slide with costs

o How will you use your answers from parts A and B to answer part C?

Link to formula sheet

Scoring GuideScore Description4 The response demonstrates a thorough understanding of

area.

3 The response demonstrates a general understanding of area.

2 The response demonstrates a partial understanding of area.

1 The response demonstrates a minimal understanding of area.

0 The response is incorrect or contains some correct work that is irrelevant to the skill or concept being measured.

Blank No response.

View Student Sample Work at Each Score Point

4 http://www.doe.mass.edu/mcas/student/2001/pdf/10m22_4.pdf

3 http://www.doe.mass.edu/mcas/student/2001/pdf/10m22_3.pdf

2 http://www.doe.mass.edu/mcas/student/2001/pdf/10m22_2.pdf

1 http://www.doe.mass.edu/mcas/student/2001/pdf/10m22_1.pdf

0 http://www.doe.mass.edu/mcas/student/2001/pdf/10m22_0.pdf

References

If you are having any trouble with this problem there are some links below that will help you with the

standards involved with this question.

http://www.gomath.com/geometrycal.html

http://www.shodor.org/interactivate/activities/index.html#geo

http://www.doe.mass.edu/mcas/

http://www.explorelearning.com/

Conclusion

Congratulations! You are done!So:Take a break.

ORTry another problem.

to try another Problem