Ohio Graduation Test for Mathematics – March 2005
Annotated Item 2
Standard and Benchmark Assessed:
Standard: Patterns, Functions and Algebra
Benchmark: E. Analyze and compare functions and their graphs using attributes, such as rates
of change, intercepts and zeros.
Multiple Choice Question:
2.
Ted and Bob each mu st type a 1,500- wor d research paper. The graph
below repr esents their normal typing rates.
Based on the inf ormation in the graph, which of these is a valid
conclusion?
A.
Bob can t ype his research paper in half the time it t akes Ted to type
his paper.
B.
Ted can type his research paper in half the time it takes Bob to type
his paper.
C.
Ted will take 4 minut es longer than Bob to type his research paper.
D.
Bob will take 4 minut es longer than Ted to type his research paper.
Commentary:
This multiple-choice question asks students to analyze and draw a valid conclusion from a
graph. The graph models the rate (number of words per number of minutes) the two boys can
type. From the graph, Bob can type 200 words in 4 minutes while Ted can type 200 words in 8
minutes. A comparison of the rates must be made and choice A is the correct response. The
Source: Ohio Department of Education
Apr 05
Ohio Graduation Test for Mathematics – March 2005
Annotated Item 2
rate displayed on the graph indicates Bob could type his research paper in half the time it takes
Ted. Choices B, C and D are invalid conclusions based on the graph shown.
This question is classified as Moderate Complexity because the task requires students to
interpret a visual representation and make a conclusion.
Performance Data:
The percent of public school students selecting answer choice A for question 2 on the March
2005 Ohio Graduation Test was 70%.
Keywords: analyzing graph, rates, comparison
Source: Ohio Department of Education
Apr 05