MATH
Mrs. Cooper wants to reinforce a concept she is teaching her sixth-graders by having
students use their calculators to solidify their conceptual understanding. In which of the
following activities would the use of a calculator be most beneficial to conceptual
understanding? - correct answer-having students graph lines with different yy-intercepts then
determine how bb changes the graph of y=mx+by=mx+b
A teacher engages her class in a discussion of the coordinate plane. The students are asked
to identify the quadrants, the coordinate axes, and the mathematical notation for various
points in the plane. Students are asked to develop a way to quickly identify the quadrant in
which various points lie. Which of the following objectives is the teacher most likely trying to
address with this lesson? - correct answer-developing precise mathematical language when
expressing mathematical ideas
A math teacher is incorporating the use of technology to enhance her unit on charts and
graphs. The class worked together to write questions to guide their data collections. The
students wrote questions like, "What is your favorite color?" and "What is your favorite
dessert?" They have collected responses from their classmates and are ready to organize
their data to make graphs. What technological tool could the students use to organize their
data and create their graphs? - correct answer-a spreadsheet
A third-grade teacher notices that some of her students are struggling with putting fractions
in order from least to greatest. What would be the most appropriate manipulative to help
students with this concept? - correct answer-fraction strips
Mrs. Adamson's student asks her how much space a cube takes up. Mrs. Adamson said to
answer this question, the student would need to calculate the volume of the cube. Which of
the following measurable attributes is the formula for a cube based upon? - correct
answer-length
A kindergarten teacher is planning a lesson in which students will measure the length of
various items in the classroom using nonstandard units of measurement. Which of the
following would be best suited for measuring crayons, books, and computers during this
lesson? - correct answer-paper clips
In a fourth-grade class, students are making cookies to learn about fractions. They are using
a set of measuring cups and spoons for their measurements. This learning is best described
as: - correct answer-formal standard measurement.
Jayce is a first-grade student struggling with comparing two-digit numbers. Which two of the
following manipulatives could his teacher use to provide support for Jayce?
Select all answers that apply. - correct answer--Unifix cubes
-Base ten blocks
,A kindergarten teacher is working on adding one-digit numbers with a small group of
students. Which of the following would NOT be a manipulative that the teacher might plan to
use? - correct answer-base ten blocks
A teacher draws a 10x8 grid on the board without any "X"s in the grid. The teacher then
writes "X"s in one and a half rows of the grid. The teacher asks the students to create an
equation to represent blocks left on the grid, if the "X"s represent the blocks that have been
removed.
Which of the following is the best equation in response to the teacher's question? - correct
answer-80 - 15
A second-grade teacher is planning an introductory lesson on ordering numbers on open
number lines and wants to incorporate technology into the lesson. Which of the following
would be the most effective use of technology in this scenario? - correct answer-an
interactive number line on which students can drag and drop numbers to the correct place
Marcus is a first-grade student working on place value task cards at a math center. Each
task card shows an image of base ten manipulatives, and students are to write the
corresponding number in standard form on their recording sheet. Marcus selects a card that
shows 1 hundreds block and 3 ones cubes. On his recording sheet, he writes that the
number shown on the card is 13.
Based on this scenario, which of the following tools would be the most effective to provide to
Marcus? - correct answer-a dry-erase place value chart
Base ten blocks are commonly used by teachers to illustrate the concept of: - correct
answer-place value.
Anytown School District provides a 50 multiple-choice question mathematics assessment to
all students. The students complete the assessment, the tests are scored, and the scores
are compared throughout the school district. Which of the following mathematics component
is most likely the goal of this type of assessment? - correct answer-accuracy
Which of the following activities would be most effective in helping first-graders understand
partitioning 2-dimensional shapes into equal parts? - correct answer-cutting out different
shapes and having students fold them into 2 or 4 equal parts
Which of the manipulative materials below would be most suitable for teaching decimal
notation to the hundredths place?
Select all answers that apply. - correct answer--decimal squares
-base ten blocks
-
Which of the following manipulatives are most appropriate for kindergarten students learning
about two-dimensional shapes? - correct answer-attribute blocks
Ms. Daniels is a second-grade teacher who notices that several of her students are
struggling to determine the value of an unknown addend in an equation. She plans to
,reteach this concept in small groups to the students who are struggling. Which of the
following manipulatives would enhance Ms. Daniels' small group lessons on this topic? -
correct answer-Cuisenaire rods
Mr. Stiles is introducing measurement to his third-grade class. He has rulers, stopwatches,
scales, and graduated cylinders available for them to use. Based on previous lessons, he
knows that most students do not know how to use these tools correctly. What is the best
introductory lesson for this unit? - correct answer-providing students time to explore the
items and then creating a K-W-L chart
A recent formative assessment shows that 80% of Ms. Parker's first-grade class has not
mastered the skill of finding the value of unknown addends. In her lesson on this concept,
Ms. Parker taught students to "count up" from one number to the other to find the unknown
addend. Based on results of the formative assessment, Ms. Parker should: - correct
answer-reteach the concept to the whole class using manipulatives.
Two color counters are often used to model addition and subtraction of integers. The red
counters represent negative integers; the yellow represent positive integers.
If the counters above were used to model the addition, what would be the result? - correct
answer--2
Mariela is a third-grade student in Mr. Miller's math class. Mr. Miller has noticed that Mariela
is struggling with comparing fractions with the same denominator. What should Mr. Miller use
when working with Mariela on this concept? - correct answer-fraction tiles
A first-grade student is working on the problem 11 + 9. His teacher observes him as he
draws 11 circles, then 9 more circles, and then counts the total. As he is counting, he counts
one of the circles twice and gets an answer of 21. His teacher encourages him to try another
strategy to check his work. Which of the following is a reasonable method that the student
should choose? - correct answer-solving the problem using a number line
The mathematics teacher and art teacher work together to create an interdisciplinary lesson
using tessellations, which are basic geometric shapes set to a repeating pattern. The
students cover a large piece of poster board with the patterns they create. Which of the
following mathematical concepts is most closely reflected in this activity? - correct
answer-infinity
A first-grade class is finishing a unit on counting sets of coins. Which of the following would
be an effective use of technology at the end of the unit? - correct answer-an online
assessment in which students select the set of coins needed to purchase different items
A first-grade teacher is planning a lesson on solving problems with an unknown addend,
such as 3 + __ = 8. She knows that students have struggled with this concept in previous
years and is looking for a way to engage students with technology while still improving their
understanding of the concept. Which of the following could she do in order to achieve this? -
correct answer-Use an interactive part-part-whole model that allows students to drag items
from the "whole" to the "parts" to find the unknown addend.
, A local school district requires all fourth graders to complete a 20-minute test containing 200
multiple-choice mathematics problems. Students are not expected to complete all of the
questions, but are graded on the number they are able to get correct in the time limit. What
component of mathematics fluency is most likely the goal of this type of assessment? -
correct answer-rate
A kindergarten teacher is planning a lesson on two-dimensional shapes. Which of the
following manipulatives would be the most effective to use when teaching students about the
different qualities of specific shapes? - correct answer-attribute blocks
Mr. Zammit is teaching his class about shapes. One of his students incorrectly labels all
rectangles as squares and all rectangular prisms as cubes. Which of the following should Mr.
Zammit do in this situation?
Select all answers that apply. - correct answer--Require his student to use correct
mathematical vocabulary.
-Make an analogy to help the student understand his mistake, for example calling every
rectangle a square is like calling every fruit an apple
A prekindergarten teacher is planning small group lessons on one-to-one correspondence.
Which of the following manipulatives would be the most effective to use when introducing
this concept? - correct answer-counters
A third-grade teacher is planning a lesson on representing data using dot plots. She plans to
introduce the concept of dot plots, show examples, and create a class dot plot that shows
how many siblings the students have. Which of the following would be the best way to
incorporate technology into this lesson? - correct answer-an online program that allows
students to plot their data point on a dot plot
A third-grade teacher is planning a lesson on representing multiplication facts. She wants
students to be able to model multiplication problems using a variety of different
representations. Which of the following includes ways that the students could model a basic
multiplication fact? - correct answer-arrays, equal-sized groups, number lines
A third-grade teacher is teaching a whole group lesson on counting money. After the lesson
is complete, she asks students to form groups of four and find the total of different sets of
bills and coins that she will display on the board. During the group activity, there is a lot of
commotion and off-task behavior, and several students begin working independently instead
of with their group. What could the teacher have done differently to improve the group
activity? - correct answer-assigned groups ahead of time and established clearer
expectations for group members
Students in Ms. Cook's fourth-grade class are learning about different types of angles.
Students are given a worksheet with several different angles and asked to identify each
angle as acute, obtuse, or right. Ms. Cook notices that one student, Amari, is correctly
labeling all right angles, but is labeling all acute angles as obtuse and vice versa.
Mrs. Cooper wants to reinforce a concept she is teaching her sixth-graders by having
students use their calculators to solidify their conceptual understanding. In which of the
following activities would the use of a calculator be most beneficial to conceptual
understanding? - correct answer-having students graph lines with different yy-intercepts then
determine how bb changes the graph of y=mx+by=mx+b
A teacher engages her class in a discussion of the coordinate plane. The students are asked
to identify the quadrants, the coordinate axes, and the mathematical notation for various
points in the plane. Students are asked to develop a way to quickly identify the quadrant in
which various points lie. Which of the following objectives is the teacher most likely trying to
address with this lesson? - correct answer-developing precise mathematical language when
expressing mathematical ideas
A math teacher is incorporating the use of technology to enhance her unit on charts and
graphs. The class worked together to write questions to guide their data collections. The
students wrote questions like, "What is your favorite color?" and "What is your favorite
dessert?" They have collected responses from their classmates and are ready to organize
their data to make graphs. What technological tool could the students use to organize their
data and create their graphs? - correct answer-a spreadsheet
A third-grade teacher notices that some of her students are struggling with putting fractions
in order from least to greatest. What would be the most appropriate manipulative to help
students with this concept? - correct answer-fraction strips
Mrs. Adamson's student asks her how much space a cube takes up. Mrs. Adamson said to
answer this question, the student would need to calculate the volume of the cube. Which of
the following measurable attributes is the formula for a cube based upon? - correct
answer-length
A kindergarten teacher is planning a lesson in which students will measure the length of
various items in the classroom using nonstandard units of measurement. Which of the
following would be best suited for measuring crayons, books, and computers during this
lesson? - correct answer-paper clips
In a fourth-grade class, students are making cookies to learn about fractions. They are using
a set of measuring cups and spoons for their measurements. This learning is best described
as: - correct answer-formal standard measurement.
Jayce is a first-grade student struggling with comparing two-digit numbers. Which two of the
following manipulatives could his teacher use to provide support for Jayce?
Select all answers that apply. - correct answer--Unifix cubes
-Base ten blocks
,A kindergarten teacher is working on adding one-digit numbers with a small group of
students. Which of the following would NOT be a manipulative that the teacher might plan to
use? - correct answer-base ten blocks
A teacher draws a 10x8 grid on the board without any "X"s in the grid. The teacher then
writes "X"s in one and a half rows of the grid. The teacher asks the students to create an
equation to represent blocks left on the grid, if the "X"s represent the blocks that have been
removed.
Which of the following is the best equation in response to the teacher's question? - correct
answer-80 - 15
A second-grade teacher is planning an introductory lesson on ordering numbers on open
number lines and wants to incorporate technology into the lesson. Which of the following
would be the most effective use of technology in this scenario? - correct answer-an
interactive number line on which students can drag and drop numbers to the correct place
Marcus is a first-grade student working on place value task cards at a math center. Each
task card shows an image of base ten manipulatives, and students are to write the
corresponding number in standard form on their recording sheet. Marcus selects a card that
shows 1 hundreds block and 3 ones cubes. On his recording sheet, he writes that the
number shown on the card is 13.
Based on this scenario, which of the following tools would be the most effective to provide to
Marcus? - correct answer-a dry-erase place value chart
Base ten blocks are commonly used by teachers to illustrate the concept of: - correct
answer-place value.
Anytown School District provides a 50 multiple-choice question mathematics assessment to
all students. The students complete the assessment, the tests are scored, and the scores
are compared throughout the school district. Which of the following mathematics component
is most likely the goal of this type of assessment? - correct answer-accuracy
Which of the following activities would be most effective in helping first-graders understand
partitioning 2-dimensional shapes into equal parts? - correct answer-cutting out different
shapes and having students fold them into 2 or 4 equal parts
Which of the manipulative materials below would be most suitable for teaching decimal
notation to the hundredths place?
Select all answers that apply. - correct answer--decimal squares
-base ten blocks
-
Which of the following manipulatives are most appropriate for kindergarten students learning
about two-dimensional shapes? - correct answer-attribute blocks
Ms. Daniels is a second-grade teacher who notices that several of her students are
struggling to determine the value of an unknown addend in an equation. She plans to
,reteach this concept in small groups to the students who are struggling. Which of the
following manipulatives would enhance Ms. Daniels' small group lessons on this topic? -
correct answer-Cuisenaire rods
Mr. Stiles is introducing measurement to his third-grade class. He has rulers, stopwatches,
scales, and graduated cylinders available for them to use. Based on previous lessons, he
knows that most students do not know how to use these tools correctly. What is the best
introductory lesson for this unit? - correct answer-providing students time to explore the
items and then creating a K-W-L chart
A recent formative assessment shows that 80% of Ms. Parker's first-grade class has not
mastered the skill of finding the value of unknown addends. In her lesson on this concept,
Ms. Parker taught students to "count up" from one number to the other to find the unknown
addend. Based on results of the formative assessment, Ms. Parker should: - correct
answer-reteach the concept to the whole class using manipulatives.
Two color counters are often used to model addition and subtraction of integers. The red
counters represent negative integers; the yellow represent positive integers.
If the counters above were used to model the addition, what would be the result? - correct
answer--2
Mariela is a third-grade student in Mr. Miller's math class. Mr. Miller has noticed that Mariela
is struggling with comparing fractions with the same denominator. What should Mr. Miller use
when working with Mariela on this concept? - correct answer-fraction tiles
A first-grade student is working on the problem 11 + 9. His teacher observes him as he
draws 11 circles, then 9 more circles, and then counts the total. As he is counting, he counts
one of the circles twice and gets an answer of 21. His teacher encourages him to try another
strategy to check his work. Which of the following is a reasonable method that the student
should choose? - correct answer-solving the problem using a number line
The mathematics teacher and art teacher work together to create an interdisciplinary lesson
using tessellations, which are basic geometric shapes set to a repeating pattern. The
students cover a large piece of poster board with the patterns they create. Which of the
following mathematical concepts is most closely reflected in this activity? - correct
answer-infinity
A first-grade class is finishing a unit on counting sets of coins. Which of the following would
be an effective use of technology at the end of the unit? - correct answer-an online
assessment in which students select the set of coins needed to purchase different items
A first-grade teacher is planning a lesson on solving problems with an unknown addend,
such as 3 + __ = 8. She knows that students have struggled with this concept in previous
years and is looking for a way to engage students with technology while still improving their
understanding of the concept. Which of the following could she do in order to achieve this? -
correct answer-Use an interactive part-part-whole model that allows students to drag items
from the "whole" to the "parts" to find the unknown addend.
, A local school district requires all fourth graders to complete a 20-minute test containing 200
multiple-choice mathematics problems. Students are not expected to complete all of the
questions, but are graded on the number they are able to get correct in the time limit. What
component of mathematics fluency is most likely the goal of this type of assessment? -
correct answer-rate
A kindergarten teacher is planning a lesson on two-dimensional shapes. Which of the
following manipulatives would be the most effective to use when teaching students about the
different qualities of specific shapes? - correct answer-attribute blocks
Mr. Zammit is teaching his class about shapes. One of his students incorrectly labels all
rectangles as squares and all rectangular prisms as cubes. Which of the following should Mr.
Zammit do in this situation?
Select all answers that apply. - correct answer--Require his student to use correct
mathematical vocabulary.
-Make an analogy to help the student understand his mistake, for example calling every
rectangle a square is like calling every fruit an apple
A prekindergarten teacher is planning small group lessons on one-to-one correspondence.
Which of the following manipulatives would be the most effective to use when introducing
this concept? - correct answer-counters
A third-grade teacher is planning a lesson on representing data using dot plots. She plans to
introduce the concept of dot plots, show examples, and create a class dot plot that shows
how many siblings the students have. Which of the following would be the best way to
incorporate technology into this lesson? - correct answer-an online program that allows
students to plot their data point on a dot plot
A third-grade teacher is planning a lesson on representing multiplication facts. She wants
students to be able to model multiplication problems using a variety of different
representations. Which of the following includes ways that the students could model a basic
multiplication fact? - correct answer-arrays, equal-sized groups, number lines
A third-grade teacher is teaching a whole group lesson on counting money. After the lesson
is complete, she asks students to form groups of four and find the total of different sets of
bills and coins that she will display on the board. During the group activity, there is a lot of
commotion and off-task behavior, and several students begin working independently instead
of with their group. What could the teacher have done differently to improve the group
activity? - correct answer-assigned groups ahead of time and established clearer
expectations for group members
Students in Ms. Cook's fourth-grade class are learning about different types of angles.
Students are given a worksheet with several different angles and asked to identify each
angle as acute, obtuse, or right. Ms. Cook notices that one student, Amari, is correctly
labeling all right angles, but is labeling all acute angles as obtuse and vice versa.
