PECT module 3 practice test
An understanding of which of the following mathematical concepts is most helpful when
working with probabilities? - Answer - ratios and proportions
A Venn diagram would be most appropriate for visually representing which of the
following problems? - Answer - What are the common multiples of 2, 3, and 5 that are
less than 40?
A teacher wants to help students develop their understanding of the relative magnitude
of numbers. Which of the following types of mathematics learning materials would be
most effective for the teacher to use for this purpose? - Answer - number lines
Which of the following strategies is most appropriate for solving the problem below?
"One week Liam baked some cookies and gave half of them away. The next week Liam
baked twice as many cookies as the week before and gave half of them away. The third
week Liam again baked twice as many cookies as the week before and gave half of
them away. If Liam gave away 24 cookies the third week, how many cookies did he give
away altogether?" - Answer - working backward
To correctly use the ordinal numbers first through fifth with a group of five objects
placed in a row, a young child must first be able to: - Answer - recognize that the last
number counted is the number of objects in the group.
A preschool child measures the length of a long rectangular block by lining up several
smaller blocks along the length of the longer block. This demonstrates that the child has
an understanding of which of the following measurement concepts? - Answer - unit
iteration
With respect to mathematics instruction, a standardized developmental screening test
would be most appropriate for helping a second-grade teacher: - Answer - identify
whether any student is at risk of a possible learning problem in mathematics.
A kindergarten teacher wants to promote students' ability to interpret data. The teacher
provides stickers of various colors and asks students to select the sticker that best
matches the color of the shirts they are wearing. The students then place the stickers in
columns based on color on a large sheet of paper. To meet the objective of the lesson,
the most appropriate step for the teacher to take next would be to: - Answer - ask
students to identify which columns have more stickers and which have fewer.
A second-grade teacher is having students work on adding double-digit numbers. The
teacher writes a problem on the board, asks students to estimate the answer, and then
asks them to explain how they arrived at their answers. As students listen to their peers'
explanations, some students are able to revise their answers correctly while others are
, not. Which of the following follow-up activities would be most appropriate? - Answer -
working with students in small groups to help students at different ability levels construct
their understanding of the concept of addition
Which of the following mathematics activities would be most appropriate for promoting
preschool students' skills in measurement? - Answer - sequencing three different events
that occur in the daily classroom routine
A third-grade teacher is developing a criterion-referenced test for a mathematics unit on
multiplication. During the unit, students use arrays to solve multiplication problems
involving one- and two-digit numbers. To produce a valid criterion- referenced test for
this unit, the teacher must: - Answer - include test questions that allow students to solve
multiplication problems using arrays as they did during the unit.
A preschool teacher wants to promote children's skills related to counting and
comparing numbers. Which of the following activities is most appropriate to use for this
purpose? - Answer - letting the class vote on which book the teacher should read next
and then asking the class which book won based on the votes
A third-grade student is having difficulty solving word problems in mathematics. Which
of the following strategies would be most helpful for the teacher to suggest the student
use first? - Answer - restating the problem in his or her own words
A teacher provides mathematics instruction using manipulatives, worksheets, games,
and class discussion. The primary benefit of providing instruction in multiple formats is
that it: - Answer - addresses a variety of learning styles.
A teacher gives groups of students a number of triangles, squares, and semicircles and
asks the students to combine these shapes to make as many different figures as they
can. This activity will help build a foundation for students' future development of which of
the following skills? - Answer - determining the area of irregular shapes
During group time, a preschool teacher uses shapes made out of felt to create a circle-
circle-square, circle-circle-square pattern. The teacher asks children which shape
should come next to continue the pattern. Some of the children say a circle and some
say a square. Which of the following teacher strategies will best help the children
construct their own understanding of the concept? - Answer - having the children say
the pattern out loud as a group and again asking which shape should come next
A student incorrectly solves the multiplication problems below.
59 27 34
x13 21 24
_____ _______
217 27 166
590 640 680
______________
An understanding of which of the following mathematical concepts is most helpful when
working with probabilities? - Answer - ratios and proportions
A Venn diagram would be most appropriate for visually representing which of the
following problems? - Answer - What are the common multiples of 2, 3, and 5 that are
less than 40?
A teacher wants to help students develop their understanding of the relative magnitude
of numbers. Which of the following types of mathematics learning materials would be
most effective for the teacher to use for this purpose? - Answer - number lines
Which of the following strategies is most appropriate for solving the problem below?
"One week Liam baked some cookies and gave half of them away. The next week Liam
baked twice as many cookies as the week before and gave half of them away. The third
week Liam again baked twice as many cookies as the week before and gave half of
them away. If Liam gave away 24 cookies the third week, how many cookies did he give
away altogether?" - Answer - working backward
To correctly use the ordinal numbers first through fifth with a group of five objects
placed in a row, a young child must first be able to: - Answer - recognize that the last
number counted is the number of objects in the group.
A preschool child measures the length of a long rectangular block by lining up several
smaller blocks along the length of the longer block. This demonstrates that the child has
an understanding of which of the following measurement concepts? - Answer - unit
iteration
With respect to mathematics instruction, a standardized developmental screening test
would be most appropriate for helping a second-grade teacher: - Answer - identify
whether any student is at risk of a possible learning problem in mathematics.
A kindergarten teacher wants to promote students' ability to interpret data. The teacher
provides stickers of various colors and asks students to select the sticker that best
matches the color of the shirts they are wearing. The students then place the stickers in
columns based on color on a large sheet of paper. To meet the objective of the lesson,
the most appropriate step for the teacher to take next would be to: - Answer - ask
students to identify which columns have more stickers and which have fewer.
A second-grade teacher is having students work on adding double-digit numbers. The
teacher writes a problem on the board, asks students to estimate the answer, and then
asks them to explain how they arrived at their answers. As students listen to their peers'
explanations, some students are able to revise their answers correctly while others are
, not. Which of the following follow-up activities would be most appropriate? - Answer -
working with students in small groups to help students at different ability levels construct
their understanding of the concept of addition
Which of the following mathematics activities would be most appropriate for promoting
preschool students' skills in measurement? - Answer - sequencing three different events
that occur in the daily classroom routine
A third-grade teacher is developing a criterion-referenced test for a mathematics unit on
multiplication. During the unit, students use arrays to solve multiplication problems
involving one- and two-digit numbers. To produce a valid criterion- referenced test for
this unit, the teacher must: - Answer - include test questions that allow students to solve
multiplication problems using arrays as they did during the unit.
A preschool teacher wants to promote children's skills related to counting and
comparing numbers. Which of the following activities is most appropriate to use for this
purpose? - Answer - letting the class vote on which book the teacher should read next
and then asking the class which book won based on the votes
A third-grade student is having difficulty solving word problems in mathematics. Which
of the following strategies would be most helpful for the teacher to suggest the student
use first? - Answer - restating the problem in his or her own words
A teacher provides mathematics instruction using manipulatives, worksheets, games,
and class discussion. The primary benefit of providing instruction in multiple formats is
that it: - Answer - addresses a variety of learning styles.
A teacher gives groups of students a number of triangles, squares, and semicircles and
asks the students to combine these shapes to make as many different figures as they
can. This activity will help build a foundation for students' future development of which of
the following skills? - Answer - determining the area of irregular shapes
During group time, a preschool teacher uses shapes made out of felt to create a circle-
circle-square, circle-circle-square pattern. The teacher asks children which shape
should come next to continue the pattern. Some of the children say a circle and some
say a square. Which of the following teacher strategies will best help the children
construct their own understanding of the concept? - Answer - having the children say
the pattern out loud as a group and again asking which shape should come next
A student incorrectly solves the multiplication problems below.
59 27 34
x13 21 24
_____ _______
217 27 166
590 640 680
______________
