TExES CORE Subjects EC-6 (391): Mathematics V2 || with
100% Error-free Solutions.
Julie brings and eats one-third of a sandwich every day for lunch. If she made 11 sandwiches this
month, how many lunches did she bring?
Which of the following expressions would be a correct computation for the answer to the
problem above?
A. 11 x 1/3
B. 11 / (1/3)
C. 1/3 x 11
D. (1/3) / 11
correct answers B. 11 / (1/3)
A first-grade class has been working on analyzing data using a bar graph. The majority of
students are able to correctly answer questions related to the graph. What would be an
appropriate extension activity for students to complete next to encourage higher-order thinking?
A. Have students work with a partner to come up with their own question that could be answered
using the graph.
B. Have students start working on line graphs now that they have mastered bar graphs.
C. Give students a homework assignment related to bar graphs.
D. Give students a bar graph with larger numbers as a challenge. correct answers A. Have
students work with a partner to come up with their own question that could be answered using
the graph.
Students are separating costs of running a concession stand into expenses that depend on sales
volume and those that do not. What concept does the teacher want students to understand
through this activity?
A. fixed and variable expenses
B. fixed and variable income
C. supply and demand
D. sales tax correct answers A. fixed and variable expenses
A second-grade class has created a pictograph of what type of shoe each person is wearing. What
is the next visual representation students can make from the information given?
A. a circle graph
B. a line graph
C. a bar graph
D. a steam- and- leaf plot correct answers C. a bar graph
Students in Mrs. Wilson's class have mastered multiplication and have been introduced to
division. Mrs. Wilson gave a test over introductory concepts in division and found that a number
,of students struggled. Which of the following strategies is best to help improve the students'
understanding of division?
A. Provide a new study guide with division problems and give a new test again in two days.
B. Separate the class into groups and have at least one student that understands division in each
group. The higher-level students can reteach the struggling students the concept through peer
tutoring.
C. Teach that multiplication and division are opposites, and have students memorize times tables
to make division easier.
D. Use manipulatives to model division and connect it to multiplication. correct answers D. Use
manipulatives to model division and connect it to multiplication.
Mrs. Wilhelm is teaching a lesson on surface area. Every time a student raises their hand to
answer, Mrs. Wilhelm addresses them by name and says that she appreciates how they
participate in class. She also offers small candies for challenge questions. Which learning theory
best matches Mrs. Wilhelm's teaching method?
A. constructivist learning theory
B. behaviorism learning theory
C. sociocultural learning theory
D. social learning theory correct answers B. behaviorism learning theory
In which of the following situations is estimation least appropriate?
A. a mother giving medication to her child with a cough
B. a father talking about the size of the fish he caught and released that morning at the lake
C. a meteorologist talking about the probability for rain tomorrow
D. a sports announcer reporting on the number of people expected to attend a playoff game
correct answers A. a mother giving medication to her child with a cough
A third-grade teacher is working with a small group of students on representing fractions. She
asks students to use the method of their choice to represent ¾. All of the students choose to draw
a circle divided into 4 equal parts and color 3 parts. She then asks students to represent the same
fraction in another way. Which of the following is NOT a method that the students could use to
represent ¾?
A. a fraction strip
B. an array
C. a number line
D. a drawing of four items with three items shaded in correct answers B. an array
Miss Osborn gives her class graph paper with the x and y axes labeled. She asks the students to
draw a three-sided shape of their choice in one quadrant on the x-y plane. She then asks students
to change the sign of each x value and regraph the shape. Which of the following concepts is
Miss Osborn working on with her students?
, A. translation
B. reflection
C. dilation
D. rotation correct answers B. reflection
Whitney is packing for a week-long trip. She fills her suitcase with 5 shirts, 3 pairs of pants, 2
skirts, and 2 dresses. If an outfit consists of 1 shirt and 1 bottom (pant or skirt) or 1 dress, how
many different outfits can Whitney create?
A. 32
B. 7
C. 27
D. 12 correct answers C. 27
Ginny and Carter are learning about probability and their teacher hands them a bag with 18 red
marbles and 10 green marbles. Ginny draws 2 red marbles and keeps them on her desk. Carter
wants to draw green marbles on his turn.
How did the probability of drawing a green marble change from when Ginny drew her marbles
to when Carter will draw?
A. The probability of drawing a green marble increased.
B. The probability of drawing a green marble did not change because the total number of
marbles was not affected.
C. The probability of drawing a green marble did not change because the number of green
marbles did not change.
D. The probability of drawing a green marble decreased. correct answers A. The probability of
drawing a green marble increased.
During the week, the teacher has students use a ruler to measure various objects. They begin with
measuring straight lines and then move on to shapes and 3-D figures. At the end of the week,
students are asked to research careers in which the mathematical ideas explored during the week
could be used.
Which of the following scenarios best demonstrates how the math concept explored in class is
applied to a career context?
A. an architect drawing plans for a new house
B. an accountant calculating the taxes owed by a client
C. a doctor measuring a baby's weight
D. a police officer determining a car's speed correct answers A. an architect drawing plans for a
new house
Student groups are given a six-sided die, with each side labeled a number 1 through 6. Each
student group rolls the die 75 times and records the number that is rolled. If there are 8 groups of
students participating in this activity, which of the following is most likely the total number of
times a 4 was rolled?
100% Error-free Solutions.
Julie brings and eats one-third of a sandwich every day for lunch. If she made 11 sandwiches this
month, how many lunches did she bring?
Which of the following expressions would be a correct computation for the answer to the
problem above?
A. 11 x 1/3
B. 11 / (1/3)
C. 1/3 x 11
D. (1/3) / 11
correct answers B. 11 / (1/3)
A first-grade class has been working on analyzing data using a bar graph. The majority of
students are able to correctly answer questions related to the graph. What would be an
appropriate extension activity for students to complete next to encourage higher-order thinking?
A. Have students work with a partner to come up with their own question that could be answered
using the graph.
B. Have students start working on line graphs now that they have mastered bar graphs.
C. Give students a homework assignment related to bar graphs.
D. Give students a bar graph with larger numbers as a challenge. correct answers A. Have
students work with a partner to come up with their own question that could be answered using
the graph.
Students are separating costs of running a concession stand into expenses that depend on sales
volume and those that do not. What concept does the teacher want students to understand
through this activity?
A. fixed and variable expenses
B. fixed and variable income
C. supply and demand
D. sales tax correct answers A. fixed and variable expenses
A second-grade class has created a pictograph of what type of shoe each person is wearing. What
is the next visual representation students can make from the information given?
A. a circle graph
B. a line graph
C. a bar graph
D. a steam- and- leaf plot correct answers C. a bar graph
Students in Mrs. Wilson's class have mastered multiplication and have been introduced to
division. Mrs. Wilson gave a test over introductory concepts in division and found that a number
,of students struggled. Which of the following strategies is best to help improve the students'
understanding of division?
A. Provide a new study guide with division problems and give a new test again in two days.
B. Separate the class into groups and have at least one student that understands division in each
group. The higher-level students can reteach the struggling students the concept through peer
tutoring.
C. Teach that multiplication and division are opposites, and have students memorize times tables
to make division easier.
D. Use manipulatives to model division and connect it to multiplication. correct answers D. Use
manipulatives to model division and connect it to multiplication.
Mrs. Wilhelm is teaching a lesson on surface area. Every time a student raises their hand to
answer, Mrs. Wilhelm addresses them by name and says that she appreciates how they
participate in class. She also offers small candies for challenge questions. Which learning theory
best matches Mrs. Wilhelm's teaching method?
A. constructivist learning theory
B. behaviorism learning theory
C. sociocultural learning theory
D. social learning theory correct answers B. behaviorism learning theory
In which of the following situations is estimation least appropriate?
A. a mother giving medication to her child with a cough
B. a father talking about the size of the fish he caught and released that morning at the lake
C. a meteorologist talking about the probability for rain tomorrow
D. a sports announcer reporting on the number of people expected to attend a playoff game
correct answers A. a mother giving medication to her child with a cough
A third-grade teacher is working with a small group of students on representing fractions. She
asks students to use the method of their choice to represent ¾. All of the students choose to draw
a circle divided into 4 equal parts and color 3 parts. She then asks students to represent the same
fraction in another way. Which of the following is NOT a method that the students could use to
represent ¾?
A. a fraction strip
B. an array
C. a number line
D. a drawing of four items with three items shaded in correct answers B. an array
Miss Osborn gives her class graph paper with the x and y axes labeled. She asks the students to
draw a three-sided shape of their choice in one quadrant on the x-y plane. She then asks students
to change the sign of each x value and regraph the shape. Which of the following concepts is
Miss Osborn working on with her students?
, A. translation
B. reflection
C. dilation
D. rotation correct answers B. reflection
Whitney is packing for a week-long trip. She fills her suitcase with 5 shirts, 3 pairs of pants, 2
skirts, and 2 dresses. If an outfit consists of 1 shirt and 1 bottom (pant or skirt) or 1 dress, how
many different outfits can Whitney create?
A. 32
B. 7
C. 27
D. 12 correct answers C. 27
Ginny and Carter are learning about probability and their teacher hands them a bag with 18 red
marbles and 10 green marbles. Ginny draws 2 red marbles and keeps them on her desk. Carter
wants to draw green marbles on his turn.
How did the probability of drawing a green marble change from when Ginny drew her marbles
to when Carter will draw?
A. The probability of drawing a green marble increased.
B. The probability of drawing a green marble did not change because the total number of
marbles was not affected.
C. The probability of drawing a green marble did not change because the number of green
marbles did not change.
D. The probability of drawing a green marble decreased. correct answers A. The probability of
drawing a green marble increased.
During the week, the teacher has students use a ruler to measure various objects. They begin with
measuring straight lines and then move on to shapes and 3-D figures. At the end of the week,
students are asked to research careers in which the mathematical ideas explored during the week
could be used.
Which of the following scenarios best demonstrates how the math concept explored in class is
applied to a career context?
A. an architect drawing plans for a new house
B. an accountant calculating the taxes owed by a client
C. a doctor measuring a baby's weight
D. a police officer determining a car's speed correct answers A. an architect drawing plans for a
new house
Student groups are given a six-sided die, with each side labeled a number 1 through 6. Each
student group rolls the die 75 times and records the number that is rolled. If there are 8 groups of
students participating in this activity, which of the following is most likely the total number of
times a 4 was rolled?
