TExES CORE Subjects EC-6 (391): Mathematics V2
Questions and Answers with Complete Solutions 2025
VERSION 1
Question 1
A kindergarten teacher is introducing the concept of addition. Which of the
following manipulatives would be MOST appropriate for students to visually
represent the combination of two groups of objects?
A) Place value blocks
B) Fraction tiles
C) Connecting cubes
D) Geoboards
E) Pattern blocks
Correct Answer: C) Connecting cubes
Rationale: Connecting cubes are excellent for demonstrating addition
as they can be physically joined to represent the combination of two
quantities, providing a concrete visual and tactile experience for
young learners.
Question 2
Which of the following activities best promotes a child's understanding of
one-to-one correspondence?
A) Counting by rote up to 100.
B) Grouping objects by color.
C) Distributing one crayon to each child at a table.
D) Stacking blocks to build a tower.
E) Reciting the number sequence backward.
Correct Answer: C) Distributing one crayon to each child at a table.
Rationale: One-to-one correspondence is the ability to match one
object to one number (or another object). Distributing one crayon to
each child directly engages this concept by pairing each child with a
single crayon.
,Question 3
A first-grade student is struggling to understand subtraction as "taking
away." Which of the following strategies would be most effective for the
teacher to use?
A) Provide a worksheet with many subtraction problems.
B) Explain the definition of subtraction verbally.
C) Use counters to model "taking away" from a group.
D) Ask the student to memorize subtraction facts.
E) Have the student watch a video about subtraction.
Correct Answer: C) Use counters to model "taking away" from a group.
Rationale: Using concrete manipulatives like counters allows the
student to physically perform the action of "taking away" from a
larger group, making the abstract concept of subtraction more
tangible and understandable.
Question 4
A second-grade class is learning about fractions. Which of the following real-
world examples would be most effective for introducing the concept of
halves?
A) Sharing a pizza equally among two friends.
B) Dividing a group of 10 students into pairs.
C) Measuring the length of a room with a ruler.
D) Comparing the height of two different trees.
E) Counting the number of cookies in a box.
Correct Answer: A) Sharing a pizza equally among two friends.
Rationale: Sharing a pizza (or any whole object like a cookie or apple)
equally among two friends is a relatable and concrete way to
demonstrate the concept of dividing a whole into two equal parts,
representing halves.
Question 5
Which instructional strategy best supports students in developing number
,sense?
A) Focusing solely on memorizing arithmetic facts.
B) Providing limited opportunities for counting.
C) Engaging students in activities that involve comparing, ordering, and
estimating quantities.
D) Restricting the use of manipulatives.
E) Emphasizing speed over understanding in calculations.
Correct Answer: C) Engaging students in activities that involve
comparing, ordering, and estimating quantities.
Rationale: Number sense involves a deep understanding of numbers
and their relationships. Activities that encourage comparing,
ordering, estimating, and decomposing numbers build this
foundational understanding.
Question 6
A third-grade teacher wants to help students understand the relationship
between multiplication and division. Which of the following activities would
be most effective?
A) Using flashcards to practice multiplication facts.
B) Having students create arrays and write corresponding multiplication and
division equations.
C) Asking students to solve long division problems.
D) Discussing the definitions of multiplication and division.
E) Playing a game that only involves multiplication.
Correct Answer: B) Having students create arrays and write
corresponding multiplication and division equations.
Rationale: Arrays (rows and columns) visually represent the equal
groups involved in multiplication. By creating an array and then
describing it with both multiplication and division equations (e.g., 3
rows of 4 = 12, so 3x4=12 and 12÷3=4), students concretely see the
inverse relationship.
, Question 7
A fourth-grade student is having difficulty understanding equivalent
fractions. Which manipulative would be MOST beneficial for this student?
A) Base ten blocks
B) Unifix cubes
C) Fraction tiles
D) Pattern blocks
E) A number line
Correct Answer: C) Fraction tiles
Rationale: Fraction tiles are concrete, proportional representations of
fractions (e.g., a "whole" tile, 1/2 tiles, 1/4 tiles, etc.). Students can
physically compare and exchange them to see that, for example,
two 1/4 tiles are equivalent to one 1/2 tile.
Question 8
Which of the following activities best supports the development of
proportional reasoning in fifth-grade students?
A) Calculating the area of various shapes.
B) Solving word problems involving ratios and unit rates.
C) Memorizing multiplication tables up to 12.
D) Identifying prime and composite numbers.
E) Converting between different units of measurement.
Correct Answer: B) Solving word problems involving ratios and unit
rates.
Rationale: Proportional reasoning is foundational to understanding
ratios, rates, and scaling. Word problems involving these concepts
require students to compare quantities multiplicatively rather than
additively, which is key to proportional thinking.
Question 9
A kindergarten teacher is assessing students' understanding of geometric
shapes. Which of the following skills is a prerequisite for identifying specific
Questions and Answers with Complete Solutions 2025
VERSION 1
Question 1
A kindergarten teacher is introducing the concept of addition. Which of the
following manipulatives would be MOST appropriate for students to visually
represent the combination of two groups of objects?
A) Place value blocks
B) Fraction tiles
C) Connecting cubes
D) Geoboards
E) Pattern blocks
Correct Answer: C) Connecting cubes
Rationale: Connecting cubes are excellent for demonstrating addition
as they can be physically joined to represent the combination of two
quantities, providing a concrete visual and tactile experience for
young learners.
Question 2
Which of the following activities best promotes a child's understanding of
one-to-one correspondence?
A) Counting by rote up to 100.
B) Grouping objects by color.
C) Distributing one crayon to each child at a table.
D) Stacking blocks to build a tower.
E) Reciting the number sequence backward.
Correct Answer: C) Distributing one crayon to each child at a table.
Rationale: One-to-one correspondence is the ability to match one
object to one number (or another object). Distributing one crayon to
each child directly engages this concept by pairing each child with a
single crayon.
,Question 3
A first-grade student is struggling to understand subtraction as "taking
away." Which of the following strategies would be most effective for the
teacher to use?
A) Provide a worksheet with many subtraction problems.
B) Explain the definition of subtraction verbally.
C) Use counters to model "taking away" from a group.
D) Ask the student to memorize subtraction facts.
E) Have the student watch a video about subtraction.
Correct Answer: C) Use counters to model "taking away" from a group.
Rationale: Using concrete manipulatives like counters allows the
student to physically perform the action of "taking away" from a
larger group, making the abstract concept of subtraction more
tangible and understandable.
Question 4
A second-grade class is learning about fractions. Which of the following real-
world examples would be most effective for introducing the concept of
halves?
A) Sharing a pizza equally among two friends.
B) Dividing a group of 10 students into pairs.
C) Measuring the length of a room with a ruler.
D) Comparing the height of two different trees.
E) Counting the number of cookies in a box.
Correct Answer: A) Sharing a pizza equally among two friends.
Rationale: Sharing a pizza (or any whole object like a cookie or apple)
equally among two friends is a relatable and concrete way to
demonstrate the concept of dividing a whole into two equal parts,
representing halves.
Question 5
Which instructional strategy best supports students in developing number
,sense?
A) Focusing solely on memorizing arithmetic facts.
B) Providing limited opportunities for counting.
C) Engaging students in activities that involve comparing, ordering, and
estimating quantities.
D) Restricting the use of manipulatives.
E) Emphasizing speed over understanding in calculations.
Correct Answer: C) Engaging students in activities that involve
comparing, ordering, and estimating quantities.
Rationale: Number sense involves a deep understanding of numbers
and their relationships. Activities that encourage comparing,
ordering, estimating, and decomposing numbers build this
foundational understanding.
Question 6
A third-grade teacher wants to help students understand the relationship
between multiplication and division. Which of the following activities would
be most effective?
A) Using flashcards to practice multiplication facts.
B) Having students create arrays and write corresponding multiplication and
division equations.
C) Asking students to solve long division problems.
D) Discussing the definitions of multiplication and division.
E) Playing a game that only involves multiplication.
Correct Answer: B) Having students create arrays and write
corresponding multiplication and division equations.
Rationale: Arrays (rows and columns) visually represent the equal
groups involved in multiplication. By creating an array and then
describing it with both multiplication and division equations (e.g., 3
rows of 4 = 12, so 3x4=12 and 12÷3=4), students concretely see the
inverse relationship.
, Question 7
A fourth-grade student is having difficulty understanding equivalent
fractions. Which manipulative would be MOST beneficial for this student?
A) Base ten blocks
B) Unifix cubes
C) Fraction tiles
D) Pattern blocks
E) A number line
Correct Answer: C) Fraction tiles
Rationale: Fraction tiles are concrete, proportional representations of
fractions (e.g., a "whole" tile, 1/2 tiles, 1/4 tiles, etc.). Students can
physically compare and exchange them to see that, for example,
two 1/4 tiles are equivalent to one 1/2 tile.
Question 8
Which of the following activities best supports the development of
proportional reasoning in fifth-grade students?
A) Calculating the area of various shapes.
B) Solving word problems involving ratios and unit rates.
C) Memorizing multiplication tables up to 12.
D) Identifying prime and composite numbers.
E) Converting between different units of measurement.
Correct Answer: B) Solving word problems involving ratios and unit
rates.
Rationale: Proportional reasoning is foundational to understanding
ratios, rates, and scaling. Word problems involving these concepts
require students to compare quantities multiplicatively rather than
additively, which is key to proportional thinking.
Question 9
A kindergarten teacher is assessing students' understanding of geometric
shapes. Which of the following skills is a prerequisite for identifying specific
