E-6 MATH QUESTIONS AND ANSWERS
WITH SOLUTIONS 2024
Mrs. Herschend decided not to give a test about ratios and instead had her students do a project to
display their knowledge. She has decided that she will do this for every unit going forward. What is the
main disadvantage to this approach? - ANSWER Students need to practice test taking skills periodically.
Students need to practice these skills for standardized testing.
Mrs. Jones is teaching a lesson on slope-intercept form. She requires each student to find the slope and
y-intercept of a set of graphs, then put them into a formula that describes the graph. The students work
one problem at a time and Mrs. Jones circulates to check their work. If a student has the correct answer,
Mrs. Jones gives them a checkmark and they move on to the next question. If the student has the wrong
answer, Mrs. Jones directs them to the incorrect portion of their work and they revise their answer. Mrs.
Jones continues to circulate the room until all students have finished the assignment. Which of the
following learning theories best matches the activity Mrs. Jones uses with her students? - ANSWER
Behaviorism learning theory
The students are learning by receiving feedback with positive reinforcement.
Ms. Colon, a new fifth-grade teacher, is planning her math lessons for the grading cycle. She thinks of all
of the topics she needs to teach and makes discrete daily lessons. Each unit has an opening pre-test.
Each lesson has instruction, guided practice, and independent practice. Which of the following are
methods she should incorporate into her lesson planning?
Select all answers that apply. - ANSWER Instead of making single lesson plans, first create a thematic unit
around which to frame her lessons.
Planning discrete lessons does not leave much room for repetition of ideas. Planning lessons around a
thematic unit allows students to be exposed to the ideas multiple times.
Plan each lesson with a closure activity.
Planning for a closure activity is good practice.
Plan time each day for students to explain concepts they have learned to their peers.
Planning a time for students to explain concepts to each other is good practices.
, A third-grade teacher is introducing the idea of adding areas of smaller rectangles to make one larger
rectangle. Which would be the most effective beginning activity? - ANSWER having the students explore
rectangles that all have the same width
Since the students are just learning a skill for the first time, they are in the concrete learning progression
stage and should use manipulatives. Using rectangles with the same widths will allow them to "stack"
the rectangles and create one larger rectangle.
According to the TEKS, which of the following is an appropriate skill for a second-grade student to master
during a unit on numbers and operations? - ANSWER Students will be able to place a given whole
number in the correct position on an open number line.
This correctly identifies a TEKS for second-grade math. It describes what the student will be able to do as
a result of instruction.
A fifth-grade teacher is preparing to launch a unit focused on multiplying and dividing fractions. Which of
the following concepts should he include on the pre-unit diagnostic test? - ANSWER inding simplest form
Before learning to multiply or divide fractions, students must have a foundational understanding of how
to manipulate fractions to find equivalent fractions and simplest form. If a student struggles with this
skill, they will face additional challenges when attempting to multiply and divide fractions.
Mr. Fischer, a bilingual teacher, teaches a mathematics class composed of native English speakers and
English language learners (ELLs). He has introduced a new topic with new vocabulary words in which he
presented the vocabulary words with several examples. Which of the following strategies should Mr.
Fischer use next to check each student's understanding of the vocabulary words? - ANSWER having
students write a definition for each term in their own words in their native language
It is best to have the students construct their own definition in their native language so Mr. Fischer can
assess their knowledge of the vocabulary words.
A second-grade teacher is finishing up a lesson on using graphs to analyze data and make predictions.
She wants to make sure that students continue to use this knowledge instead of learning it as an isolated
skill. Which of the following would be the best way for the teacher to achieve this? - ANSWER Plan a
science lesson in the upcoming weeks in which students graph the daily temperature using bar graphs.
Integrating math content into another subject area is an effective way to reinforce previously taught
concepts.
Mr. Sexton has been trying a variety of teaching methods to engage his class, but it seems to make things
more out of control. How can he increase engagement while maintaining an orderly classroom? -
ANSWER Establish a daily procedure for class and vary the activities used for instruction.
WITH SOLUTIONS 2024
Mrs. Herschend decided not to give a test about ratios and instead had her students do a project to
display their knowledge. She has decided that she will do this for every unit going forward. What is the
main disadvantage to this approach? - ANSWER Students need to practice test taking skills periodically.
Students need to practice these skills for standardized testing.
Mrs. Jones is teaching a lesson on slope-intercept form. She requires each student to find the slope and
y-intercept of a set of graphs, then put them into a formula that describes the graph. The students work
one problem at a time and Mrs. Jones circulates to check their work. If a student has the correct answer,
Mrs. Jones gives them a checkmark and they move on to the next question. If the student has the wrong
answer, Mrs. Jones directs them to the incorrect portion of their work and they revise their answer. Mrs.
Jones continues to circulate the room until all students have finished the assignment. Which of the
following learning theories best matches the activity Mrs. Jones uses with her students? - ANSWER
Behaviorism learning theory
The students are learning by receiving feedback with positive reinforcement.
Ms. Colon, a new fifth-grade teacher, is planning her math lessons for the grading cycle. She thinks of all
of the topics she needs to teach and makes discrete daily lessons. Each unit has an opening pre-test.
Each lesson has instruction, guided practice, and independent practice. Which of the following are
methods she should incorporate into her lesson planning?
Select all answers that apply. - ANSWER Instead of making single lesson plans, first create a thematic unit
around which to frame her lessons.
Planning discrete lessons does not leave much room for repetition of ideas. Planning lessons around a
thematic unit allows students to be exposed to the ideas multiple times.
Plan each lesson with a closure activity.
Planning for a closure activity is good practice.
Plan time each day for students to explain concepts they have learned to their peers.
Planning a time for students to explain concepts to each other is good practices.
, A third-grade teacher is introducing the idea of adding areas of smaller rectangles to make one larger
rectangle. Which would be the most effective beginning activity? - ANSWER having the students explore
rectangles that all have the same width
Since the students are just learning a skill for the first time, they are in the concrete learning progression
stage and should use manipulatives. Using rectangles with the same widths will allow them to "stack"
the rectangles and create one larger rectangle.
According to the TEKS, which of the following is an appropriate skill for a second-grade student to master
during a unit on numbers and operations? - ANSWER Students will be able to place a given whole
number in the correct position on an open number line.
This correctly identifies a TEKS for second-grade math. It describes what the student will be able to do as
a result of instruction.
A fifth-grade teacher is preparing to launch a unit focused on multiplying and dividing fractions. Which of
the following concepts should he include on the pre-unit diagnostic test? - ANSWER inding simplest form
Before learning to multiply or divide fractions, students must have a foundational understanding of how
to manipulate fractions to find equivalent fractions and simplest form. If a student struggles with this
skill, they will face additional challenges when attempting to multiply and divide fractions.
Mr. Fischer, a bilingual teacher, teaches a mathematics class composed of native English speakers and
English language learners (ELLs). He has introduced a new topic with new vocabulary words in which he
presented the vocabulary words with several examples. Which of the following strategies should Mr.
Fischer use next to check each student's understanding of the vocabulary words? - ANSWER having
students write a definition for each term in their own words in their native language
It is best to have the students construct their own definition in their native language so Mr. Fischer can
assess their knowledge of the vocabulary words.
A second-grade teacher is finishing up a lesson on using graphs to analyze data and make predictions.
She wants to make sure that students continue to use this knowledge instead of learning it as an isolated
skill. Which of the following would be the best way for the teacher to achieve this? - ANSWER Plan a
science lesson in the upcoming weeks in which students graph the daily temperature using bar graphs.
Integrating math content into another subject area is an effective way to reinforce previously taught
concepts.
Mr. Sexton has been trying a variety of teaching methods to engage his class, but it seems to make things
more out of control. How can he increase engagement while maintaining an orderly classroom? -
ANSWER Establish a daily procedure for class and vary the activities used for instruction.
