Test Objective 10

Question #1

In a second-grade class, each student stands on a large sheet of 1-inch graph paper while a partner creates an outline of the student's foot by tracing around it. Students then count the number of squares inside each outline. This activity would best help students understand the mathematical concept of:

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This question requires the examinee to demonstrate knowledge of basic concepts related to geometry. In geometry, the term area refers to a flat surface enclosed by lines. Outlining a student’s foot on graph paper enables students to explore the concept of area by counting the number of unit squares contained within the outline.


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Question #2

A prekindergarten teacher is planning a lesson with a teaching objective of categorizing geometric objects by type of shape. Which of the following actions must children be able to perform successfully before the teacher teaches this lesson?

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Correct Answer: A

The recognition of geometric shape’s attributes (such as identifying the number of points and edges that make up a triangle) is necessary for the categorization aspect of this lesson. 

Question #3

The gasoline tank of a car holds 15 gallons when full. If there are 7 gallons of gasoline in the tank, how many gallons of gasoline are needed to fill the tank?

Which of the following is most appropriate to use to correctly answer the question shown? 

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Correct Answer: B

The answer of 8 is found by subtracting 7 from 15.

* There will be questions on your test where you will be asked to identify which mathematical operation is being taught or reinforced based on the details of the scenario or activity in which the children are to engaged. 

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TIP: There will be questions on your test where you will be asked to identify which mathematical operation is being taught or reinforced based on the details of the scenario or activity in which the children are to engaged. 

Question #4

A teacher asks students to look at the graph shown and indicate which fruits are preferred by more than 5 students, fewer than 5 students, and exactly 5 students. Which of the following is most likely the goal of the activity?

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Correct Answer: B 

Students will need to read the chart to find the quantities 8, 3, 5, 7, 2, and 10. If the students then order the numbers from least to greatest, getting    2 < 3 < 5 < 7 < 8 < 10, it will be easy for them to see how many fruits are preferred by fewer than 5 students, exactly 5 students, or more than 5 students. 

This question also relates to use of pictographs to help children gather and represent data. For young children, taking surveys of personal preferences or collecting data on personal items (such as types of shoes children are wearing) can be a meaningful and motivating way to engage them in mathematical thinking. 

Question #5

A preschool teacher wants to plan mathematics activities that will be responsive to children's varied experiences, characteristics, and needs. Which of the following strategies would best provide the teacher with information to support this goal?

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Correct Response: D

In order to plan developmentally appropriate mathematics activities for a preschool-age child, a teacher needs to have a good idea of each child’s existing knowledge related to mathematical concepts (e.g., bigger and smaller, more than and less than, round and square, one-to-one correspondence). With a young child, the best way to make such a determination would be to observe and talk with the child as he or she interacts with various relevant materials

Question #6

A second-grade teacher is presenting a mathematics lesson involving addition and subtraction word problems. Although the teacher has explained the process using three sample word problems and students have the necessary computation skills, they are struggling to understand. Which of the following strategies would most effectively enhance students' understanding of how to solve the word problems?

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Correct Response: B

The use of drawings, tallies, and other graphic representations during instruction helps students visualize concepts. Such representations help students identify and focus on relevant information and support comprehension for students with diverse learning needs (e.g., visual learners, students with disabilities, English language learners). 

Question #7

A kindergarten class is playing a game involving the exchange of pennies for dimes and dimes for dollars. A die is rolled and that number of pennies is given to the roller. When a student has enough pennies, they may be exchanged for a dime. This process continues until the student has collected enough dimes to exchange for a dollar bill. Carrying out this type of activity is likely to be most effective for helping the students develop an understanding of: 

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