PECT - Module 3 - Practice Test Questions and Answers
A kindergarten student recognizes that, although each object while saying its number aloud
buttons are much smaller than elephants, five D. matching a puzzle piece with the number five
elephants represent the same quantity as five to a puzzle piece with five apples on it -
buttons. This best demonstrates that the child ANSWER -C
has an understanding of:
A. estimation
B. numerical operations A kindergarten teacher keeps a large calendar on
C. multiplication the classroom wall. Each morning, the teacher
D. number sense - ANSWER -D and the children discuss the weather, and the
children decide whether they should place a sun
or a cloud on the calendar. Which of the following
Express the following words as numbers: teacher-led activities would be most effective and
Fifty-six- 506 developmentally appropriate for integrating math
twenty-five- 205 into this science activity?
The student who made the errors shown in the A. creating a weather picture graph and updating
exercise above would benefit most from which of it daily
the following? B. asking the children to decide each morning
A. practicing basic math facts whether it is sunnier or cloudier than the day
B. reviewing the concepts of "0" as a place before
holder when writing numerals C. adding a yellow marble to a jar for everyday it
C. Using unit cubes to represent numbers in is sunny
base 5 D. recording the daily temperature and
D. arranging groups of base-10 blocks and correlating it too cloudy and sunny days. -
writing the numerals represented - ANSWER -A
ANSWER -D
a pair of first-grade uses a 2.5 in. block to
A third grade student has solved a word problem measure the length of a table. The students then
correctly but had not shown any of the work. The use a 5in block to measure a different table of the
teacher can best assess the student's conceptual same length. They announce to the teacher that
understanding of the problem by asking the the first table is longer than the second table. The
student to: teacher then measures the two tables with a ruler
A. solve additional similar problems and shows the students that the two tables are
B. determine if the answer is reasonable the same length. This situation could be most
C. explain the steps to arrive at the answer appropriately used for introducing the students to
D. create a similar type of word problem - which of the following mathematical concepts?
ANSWER -C A. geometric shapes
B. Standard units of measure
C. conservation of number
Which of the following behaviors by a child D. perimeter and area - ANSWER -B
demonstrates an understanding of one-to-one
correspondence? A. placing blue and red balls in
separate containers A teacher regularly utilizes peer tutoring in math.
B. identifying objects in a room that comes in The teacher pairs students according to skill level
pairs and makes sure that each of the students has a
C. Counting a group of ten objects by touching turn in the role of tutor. Which of the following is
,PECT - Module 3 - Practice Test Questions and Answers
likely to be the most important benefit of In alignment with National Council of teachers of
incorporating this type of peer support into mathematics (NCTM) Principles and standards
instruction? for school mathematic, elementary mathematics
A. increasing students' motivation to learn math activities
content A. encourage the use of shortcuts and mnemonic
B. prompting students to evaluate their math devices to improve fluency
performance in relation to that of their B. contribute to a portfolio that students
classmates assembles to demonstrate their progress
C. helping students develop efficient and C. incorporate a wide variety of technology to
effective study skills in math meet the needs pf diverse learners
D. accelerating the pace at which students are D. foster the development of reasoning,
able to master math content - ANSWER -A. argumentation, and representation -
ANSWER -D
A first-grade teacher who wants to promote
students' ability to communicate mathematical A kindergarten teacher wants students to be able
ideas should emphasize which of the following to decompose the number 10 into number pairs.
teaching practices? which of the following student activities is likely to
A. having students explain their problem-solving be most effective in meeting this objective?
strategies orally as part of daily mathematics A. comparing two sets with quantities less than or
activities equal to ten.
B. helping students create a personal dictionary B. describing the role of ten in the place value
of mathematical vocabulary system.
C. engaging students in the process of writing C. Solving a series of addition problems with
their own mathematical word problems. sums equal to ten
D. providing students with opportunities to D. Using number cubes to show how to make ten
complete mathematics activities with a partner or in more than one way - ANSWER -D
in small group - ANSWER -A
A teacher would like to provide opportunities for
Which of the following activities would be most elementary students to make conjectures and
appropriate to foster a fourth-grade students' construct arguments related to mathematics.
skills in using mathematical language to Which of the following approaches is likely to be
communicate relationships and concepts most effective in meeting his goal?
A. making a word problem for a classmate to A. encouraging students in computer-assisted
solve that involves an application of the order. instruction and visual media.
B. using flashcards to learn mathematical B. encouraging student interaction and
vocabulary and practice for a quiz. cooperative learning.
C. explaining why a procedure for multiplication C. incorporating the use of progressive and
work using place value and properties of innovative textbooks
operations. D. ensuring that all students work at the same
D. reading and writing whole number up to one pace and level of complexity - ANSWER -B
million in words and in number form -
ANSWER -C
A fourth-grade teacher leads an activity with a
class. When a student states a number, the
, PECT - Module 3 - Practice Test Questions and Answers
teacher responds with a resulting number. This unit when students have a stronger knowledge
continues until the students can identify the rule base
the teacher is using to calculate the resulting C. agreeing to ignore results for the week 3 quiz
number. This activity is one layer of scaffolding to if student performance improves on later unit
prepare students for which of the following quizzes
mathematical concepts? D. reteaching week 3 content before moving on
A. Functions to the content planned for week 4 of the unit -
B. probability ANSWER -D
C. proportions
D. multiplication - ANSWER -A
Which of the following strategies would be most
appropriate for helping first-grade students
A third-grade teacher would like to design an develop skill in adding two number within 20?
assessment to measure student understanding A. showing students how to regroup using the
of the following learning standard: Understand standard addition algorithm
concepts of area and relate area to multiplication B leading students to discover the relationship
and addition. Which of the following activities is between addition and multiplication.
most appropriate for assessing a third-grade C. helping students recognize that a digit in the
student's mastery of this standard? tens place is ten times a digit in the ones place.
A. The student explains why the area of a square D. encouraging students to decompose one of
is the same as its side length squared and how the numbers so that it can make ten with the
this relates to the diagonals of the square. other number. - ANSWER -D
B. The student finds the area of a rectangle
using unit squares and explains why it is the
same as the product of the side length. Giving four-year olds access to water or sand
C. The student verifies the formula for the area of tables and a variety of containers would most
a right triangle by showing that it has half the effectively promote their early exploration of
area of a rectangle which of the following physical science concepts?
D. The student represents lengths on a number A. conservation of mass
line and explains how multiplication is related to B. Forces and motion
making copies of the lengths. - ANSWER - C. properties of materials
B D.Energy transfer - ANSWER -B
During a six week mathematics unit, a teacher Over a two month period, a kindergarten teacher
gives the class a quiz each Friday to assess has taken pictures of the phases of the moon.
students' understanding of the content that was During that time, the teacher and students have
covered that week. The students perform well on pasted each new picture on the corresponding
the Friday quiz for weeks 1 and 2, but then they date on a large calendar. The class has had
score very poorly on the quiz for week 3. The several lively discussions about the students' own
teacher can best respond to the students' poor observations of the moon and its changing
performance by using which of the following appearance. In the context of developing
approaches? students' science skills, which of the following
A. creating a unit test that places greater weight questions would be most appropriate for the
on week 3 content than on other unit content teacher to pose at this time?
B. reviewing week 3 content at the end of the
A kindergarten student recognizes that, although each object while saying its number aloud
buttons are much smaller than elephants, five D. matching a puzzle piece with the number five
elephants represent the same quantity as five to a puzzle piece with five apples on it -
buttons. This best demonstrates that the child ANSWER -C
has an understanding of:
A. estimation
B. numerical operations A kindergarten teacher keeps a large calendar on
C. multiplication the classroom wall. Each morning, the teacher
D. number sense - ANSWER -D and the children discuss the weather, and the
children decide whether they should place a sun
or a cloud on the calendar. Which of the following
Express the following words as numbers: teacher-led activities would be most effective and
Fifty-six- 506 developmentally appropriate for integrating math
twenty-five- 205 into this science activity?
The student who made the errors shown in the A. creating a weather picture graph and updating
exercise above would benefit most from which of it daily
the following? B. asking the children to decide each morning
A. practicing basic math facts whether it is sunnier or cloudier than the day
B. reviewing the concepts of "0" as a place before
holder when writing numerals C. adding a yellow marble to a jar for everyday it
C. Using unit cubes to represent numbers in is sunny
base 5 D. recording the daily temperature and
D. arranging groups of base-10 blocks and correlating it too cloudy and sunny days. -
writing the numerals represented - ANSWER -A
ANSWER -D
a pair of first-grade uses a 2.5 in. block to
A third grade student has solved a word problem measure the length of a table. The students then
correctly but had not shown any of the work. The use a 5in block to measure a different table of the
teacher can best assess the student's conceptual same length. They announce to the teacher that
understanding of the problem by asking the the first table is longer than the second table. The
student to: teacher then measures the two tables with a ruler
A. solve additional similar problems and shows the students that the two tables are
B. determine if the answer is reasonable the same length. This situation could be most
C. explain the steps to arrive at the answer appropriately used for introducing the students to
D. create a similar type of word problem - which of the following mathematical concepts?
ANSWER -C A. geometric shapes
B. Standard units of measure
C. conservation of number
Which of the following behaviors by a child D. perimeter and area - ANSWER -B
demonstrates an understanding of one-to-one
correspondence? A. placing blue and red balls in
separate containers A teacher regularly utilizes peer tutoring in math.
B. identifying objects in a room that comes in The teacher pairs students according to skill level
pairs and makes sure that each of the students has a
C. Counting a group of ten objects by touching turn in the role of tutor. Which of the following is
,PECT - Module 3 - Practice Test Questions and Answers
likely to be the most important benefit of In alignment with National Council of teachers of
incorporating this type of peer support into mathematics (NCTM) Principles and standards
instruction? for school mathematic, elementary mathematics
A. increasing students' motivation to learn math activities
content A. encourage the use of shortcuts and mnemonic
B. prompting students to evaluate their math devices to improve fluency
performance in relation to that of their B. contribute to a portfolio that students
classmates assembles to demonstrate their progress
C. helping students develop efficient and C. incorporate a wide variety of technology to
effective study skills in math meet the needs pf diverse learners
D. accelerating the pace at which students are D. foster the development of reasoning,
able to master math content - ANSWER -A. argumentation, and representation -
ANSWER -D
A first-grade teacher who wants to promote
students' ability to communicate mathematical A kindergarten teacher wants students to be able
ideas should emphasize which of the following to decompose the number 10 into number pairs.
teaching practices? which of the following student activities is likely to
A. having students explain their problem-solving be most effective in meeting this objective?
strategies orally as part of daily mathematics A. comparing two sets with quantities less than or
activities equal to ten.
B. helping students create a personal dictionary B. describing the role of ten in the place value
of mathematical vocabulary system.
C. engaging students in the process of writing C. Solving a series of addition problems with
their own mathematical word problems. sums equal to ten
D. providing students with opportunities to D. Using number cubes to show how to make ten
complete mathematics activities with a partner or in more than one way - ANSWER -D
in small group - ANSWER -A
A teacher would like to provide opportunities for
Which of the following activities would be most elementary students to make conjectures and
appropriate to foster a fourth-grade students' construct arguments related to mathematics.
skills in using mathematical language to Which of the following approaches is likely to be
communicate relationships and concepts most effective in meeting his goal?
A. making a word problem for a classmate to A. encouraging students in computer-assisted
solve that involves an application of the order. instruction and visual media.
B. using flashcards to learn mathematical B. encouraging student interaction and
vocabulary and practice for a quiz. cooperative learning.
C. explaining why a procedure for multiplication C. incorporating the use of progressive and
work using place value and properties of innovative textbooks
operations. D. ensuring that all students work at the same
D. reading and writing whole number up to one pace and level of complexity - ANSWER -B
million in words and in number form -
ANSWER -C
A fourth-grade teacher leads an activity with a
class. When a student states a number, the
, PECT - Module 3 - Practice Test Questions and Answers
teacher responds with a resulting number. This unit when students have a stronger knowledge
continues until the students can identify the rule base
the teacher is using to calculate the resulting C. agreeing to ignore results for the week 3 quiz
number. This activity is one layer of scaffolding to if student performance improves on later unit
prepare students for which of the following quizzes
mathematical concepts? D. reteaching week 3 content before moving on
A. Functions to the content planned for week 4 of the unit -
B. probability ANSWER -D
C. proportions
D. multiplication - ANSWER -A
Which of the following strategies would be most
appropriate for helping first-grade students
A third-grade teacher would like to design an develop skill in adding two number within 20?
assessment to measure student understanding A. showing students how to regroup using the
of the following learning standard: Understand standard addition algorithm
concepts of area and relate area to multiplication B leading students to discover the relationship
and addition. Which of the following activities is between addition and multiplication.
most appropriate for assessing a third-grade C. helping students recognize that a digit in the
student's mastery of this standard? tens place is ten times a digit in the ones place.
A. The student explains why the area of a square D. encouraging students to decompose one of
is the same as its side length squared and how the numbers so that it can make ten with the
this relates to the diagonals of the square. other number. - ANSWER -D
B. The student finds the area of a rectangle
using unit squares and explains why it is the
same as the product of the side length. Giving four-year olds access to water or sand
C. The student verifies the formula for the area of tables and a variety of containers would most
a right triangle by showing that it has half the effectively promote their early exploration of
area of a rectangle which of the following physical science concepts?
D. The student represents lengths on a number A. conservation of mass
line and explains how multiplication is related to B. Forces and motion
making copies of the lengths. - ANSWER - C. properties of materials
B D.Energy transfer - ANSWER -B
During a six week mathematics unit, a teacher Over a two month period, a kindergarten teacher
gives the class a quiz each Friday to assess has taken pictures of the phases of the moon.
students' understanding of the content that was During that time, the teacher and students have
covered that week. The students perform well on pasted each new picture on the corresponding
the Friday quiz for weeks 1 and 2, but then they date on a large calendar. The class has had
score very poorly on the quiz for week 3. The several lively discussions about the students' own
teacher can best respond to the students' poor observations of the moon and its changing
performance by using which of the following appearance. In the context of developing
approaches? students' science skills, which of the following
A. creating a unit test that places greater weight questions would be most appropriate for the
on week 3 content than on other unit content teacher to pose at this time?
B. reviewing week 3 content at the end of the
