Certify Teacher EC-6 (391) Mathematics 902
Questions And Answers
A teacher begins a new lesson on multiplication on Monday. She would like to identify which concepts of
the new lesson are most difficult for students to comprehend, so that she can adjust her lesson plans for
Tuesday as the lesson progresses. Which of the following assessment methods would be least appropriate
for achieving this goal? ANS Summative
The prenumeration activity of having young children place similar shapes in columns is laying the
foundation for which of the following?
(Chart Column with rectangles/squares, triangles, circles, and stars) ANS Bar Graph
Mrs. Sanders is introducing multiplication to her second graders. She would like to integrate the children's
learning of multiplication into other subject areas to demonstrate to her students how they will use
multiplication in real life. Which of the following would be an appropriate activity for integrating
multiplication into the second-grade science curriculum? ANS Asking the children to calculate how
much food the class pet will need for the week.
Which of the following approaches and initiatives used by a math teacher will best assist with planning,
delivery, and reevaluating instruction to ensure that every student is learning sound and significant
mathematics and is developing a positive disposition toward mathematics? ANS Observing, listening
to and gathering other information about the students to assess what they are learning.
An early childhood teacher is planning a lesson series on addition. The teacher introduces the concept of
addition through recalling prior knowledge of pattern using cubes of different colors. The teacher then
moves to having the students do what she models with adding cubes of two different colors. The next day
the teacher models adding cubes of different colors with a written algebraic expression. What would be
the next step for the students? ANS The student would model the algebraic expression with cubes.
Mrs. Ramirez and her second graders have been engaged in a math unit focusing on measuring length. In
the classroom math center, Mrs. Ramirez has put a set of objects including a book, a photograph, a pencil,
a notebook, an index card, and a ruler. She instructed her students to individually visit the center at some
time during the week and to use the ruler to measure each of the objects and record the lengths on the
worksheet provided. Mrs. Ramirez is observing the children to collect formative assessment data for the
children's mastery of the following mathematics TEKS:
, (9) Geometry and measurement. The student applies mathematical process standards to select and use
units to describe length, area, and time. The student is expected to:
(A) find the length of objects using concrete models for standard units of length;
Mrs. Ramirez observes carefully as Emma comes to the math center an begins to measure each object
ANS Mrs. Ramirez should plan and present a re-teach activity on using a ruler to measure length for
Emma and any other children who did not successfully complete the math center activity.
Mrs. Wilson is preparing her fourth graders for Mathematical TEKS. Four math problems similar to the
one shown below fill up the blackboard.
The cost of a sweater at Sears was $75.00. At the Back-to-school sale it was marked $13.50 off of the
original price. What was the price of the sweater during the sale? Explain the process you used to find the
sale price.
A first-year math teacher visiting Mrs. Wilson's classroom quickly observes the tasks have "real world"
context, require an explanation, involve multiple-steps, and are "text-like" but, require no manipulatives
and show no connection to meaning. Which of the following best describes the reason Mrs. Wilson most
likely chose the tasks for her students? ANS To increase students' speed and accuracy in solving
problems.
The second-grade math teachers assessed their students over several concepts including problem solving
with addition and subtraction. After grading a benchmark summative assessment, the teachers met to
review the data and determine which students struggled most with which concepts. The teachers put the
students into groups according to each student's weakest concept. The teachers then formulated a plan to
re-teach the concepts. Which of the following could be part of the plan to re-teach? ANS Spend a few
days with the students grouped by what they struggled with the most and re-teach the corresponding
concept to that group.
A teacher decides to assign students a project where they will develop an amortization schedule of a
purchase so they can apply a lesson using the future value formula and observe the details line by line as
payments are made. What would be the best approach in assigning a purchase? ANS Have the class
research products online such as stereos, game stations, etc, and choose an item they would like to
purchase.
The teacher helps a student draw a horizontal line 3 inches with a straightedge and a perpendicular line 2
inches connecting the edge of these lines at a point as shown in the graph below.
Questions And Answers
A teacher begins a new lesson on multiplication on Monday. She would like to identify which concepts of
the new lesson are most difficult for students to comprehend, so that she can adjust her lesson plans for
Tuesday as the lesson progresses. Which of the following assessment methods would be least appropriate
for achieving this goal? ANS Summative
The prenumeration activity of having young children place similar shapes in columns is laying the
foundation for which of the following?
(Chart Column with rectangles/squares, triangles, circles, and stars) ANS Bar Graph
Mrs. Sanders is introducing multiplication to her second graders. She would like to integrate the children's
learning of multiplication into other subject areas to demonstrate to her students how they will use
multiplication in real life. Which of the following would be an appropriate activity for integrating
multiplication into the second-grade science curriculum? ANS Asking the children to calculate how
much food the class pet will need for the week.
Which of the following approaches and initiatives used by a math teacher will best assist with planning,
delivery, and reevaluating instruction to ensure that every student is learning sound and significant
mathematics and is developing a positive disposition toward mathematics? ANS Observing, listening
to and gathering other information about the students to assess what they are learning.
An early childhood teacher is planning a lesson series on addition. The teacher introduces the concept of
addition through recalling prior knowledge of pattern using cubes of different colors. The teacher then
moves to having the students do what she models with adding cubes of two different colors. The next day
the teacher models adding cubes of different colors with a written algebraic expression. What would be
the next step for the students? ANS The student would model the algebraic expression with cubes.
Mrs. Ramirez and her second graders have been engaged in a math unit focusing on measuring length. In
the classroom math center, Mrs. Ramirez has put a set of objects including a book, a photograph, a pencil,
a notebook, an index card, and a ruler. She instructed her students to individually visit the center at some
time during the week and to use the ruler to measure each of the objects and record the lengths on the
worksheet provided. Mrs. Ramirez is observing the children to collect formative assessment data for the
children's mastery of the following mathematics TEKS:
, (9) Geometry and measurement. The student applies mathematical process standards to select and use
units to describe length, area, and time. The student is expected to:
(A) find the length of objects using concrete models for standard units of length;
Mrs. Ramirez observes carefully as Emma comes to the math center an begins to measure each object
ANS Mrs. Ramirez should plan and present a re-teach activity on using a ruler to measure length for
Emma and any other children who did not successfully complete the math center activity.
Mrs. Wilson is preparing her fourth graders for Mathematical TEKS. Four math problems similar to the
one shown below fill up the blackboard.
The cost of a sweater at Sears was $75.00. At the Back-to-school sale it was marked $13.50 off of the
original price. What was the price of the sweater during the sale? Explain the process you used to find the
sale price.
A first-year math teacher visiting Mrs. Wilson's classroom quickly observes the tasks have "real world"
context, require an explanation, involve multiple-steps, and are "text-like" but, require no manipulatives
and show no connection to meaning. Which of the following best describes the reason Mrs. Wilson most
likely chose the tasks for her students? ANS To increase students' speed and accuracy in solving
problems.
The second-grade math teachers assessed their students over several concepts including problem solving
with addition and subtraction. After grading a benchmark summative assessment, the teachers met to
review the data and determine which students struggled most with which concepts. The teachers put the
students into groups according to each student's weakest concept. The teachers then formulated a plan to
re-teach the concepts. Which of the following could be part of the plan to re-teach? ANS Spend a few
days with the students grouped by what they struggled with the most and re-teach the corresponding
concept to that group.
A teacher decides to assign students a project where they will develop an amortization schedule of a
purchase so they can apply a lesson using the future value formula and observe the details line by line as
payments are made. What would be the best approach in assigning a purchase? ANS Have the class
research products online such as stereos, game stations, etc, and choose an item they would like to
purchase.
The teacher helps a student draw a horizontal line 3 inches with a straightedge and a perpendicular line 2
inches connecting the edge of these lines at a point as shown in the graph below.
