EC-6 MATH CERTIFY TEACHER QUESTIONS AND ANSWERS
Given two even integers, a and b, determine what could be the least common multiple (LCM)? -
CORRECT ANSWER✅✅ab⁄2
Of the choices given, ab⁄2 is the LCM. Since both numbers are even, both have factors of 2. So, the
product can be reduced by 2. If the numbers have only one factor of 2 in either of them such as in 6 and
16, then 96 is the product and a multiple. However if 96 is reduced by 2, then 48 is the LCM.
Ms. Brown wants to introduce her students to the concept of ratio. Which of the following sets of
manipulatives best describe those that can effectively be used to teach this concept? - CORRECT
ANSWER✅✅color tiles, cubes, Cuisenaire rods, tangrams, pattern blocks, 2-color counters
Sorting, classification, investigation of size, shape, color, logical reasoning, sequencing, patterns,
symmetry, similarity, congruence, thinking skills, geometry, organization of data.
The goal of the teacher is to develop activities that move children from the concrete through the
abstract stages of reasoning necessary for learning higher-level mathematical concepts. Manipulatives
help teachers accomplish this goal. - CORRECT ANSWER✅✅Attribute blocks
Sorting, ordering, counting, number concepts, comparisons, fractions, ratio, proportion, place value,
patterns, even, and odd numbers.
. The goal of the teacher is to develop activities that move children from the concrete through the
abstract stages of reasoning necessary for learning higher-level mathematical concepts. Manipulatives
help teachers accomplish this goal. - CORRECT ANSWER✅✅Cuisenaire rods
is embedded in the sequence of instruction and is designed to enhance learning with non-threatening
results and adapt to student needs. - CORRECT ANSWER✅✅Formative assessment
A teacher begins a new lesson on Trigonometry 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?
, should be used once the concepts are believed to be understood by the students not in the initial
learning process because these assessments contain formal grades. - CORRECT ANSWER✅✅summative
Troy and Walter are neighbors. They both have mowed their grass today. Troy mows his grass every 3
days. Walter mows his grass every 5 days. How many days will it be before they both mow their grass on
the same day?Based on the word problem, the lesson will most likely cover which of the following? -
CORRECT ANSWER✅✅Least common multiple
The smallest number that both 3 and 5 will divide into without a remainder is 15. Thus, 15 is the least
common multiple.
The teacher tells the class to put the following numbers in order from smallest to largest.8 -3.5 9⁄2 π 2.1
2.03 √ 2 Based on the exercise the teacher has given, the exercise is most likely trying to assess which of
the following number concepts. - CORRECT ANSWER✅✅Relative magnitude
Relative magnitude includes ordering or comparing place value of real numbers on a number line.
Use the information below to answer the question that follows.
Items are computer $1800 discount 33.3% monitor $360 discount 25% and printer $100 discount 20%.
A store is having an end-of-the-year computer sale. What is the total cost of a discounted computer
system (i.e., computer, monitor, and printer)? - CORRECT ANSWER✅✅$1,550.60
1) First you need to know the amount that is being discounted off the regular price for each of the
items. (2) Next, you need to subtract the discounts from the regular prices to know the discounted sale
price for each item.(3) Add the results of step (2) to calculate the total cost of the discounted computer
system. Percentage Decimal format 33.3 % = .333
25% = .25, 20% = .20 Step 1 Step 2 Step 3 Computer: .333 x $1800.00 = $599.40 → 1,800 - 599.40 =
1200.60 Monitor: .25 x $360.00 = $90.00 → 360.00 - 90.00 = 270.00 Printer: .20 x $100.00 = $20.00 →
100.00 - 20.00 = 80.00 Total Cost: $1,550.60
Find the sum of the following: 2/9 + 1/4 + 1/6 - CORRECT ANSWER✅✅23/36
Given two even integers, a and b, determine what could be the least common multiple (LCM)? -
CORRECT ANSWER✅✅ab⁄2
Of the choices given, ab⁄2 is the LCM. Since both numbers are even, both have factors of 2. So, the
product can be reduced by 2. If the numbers have only one factor of 2 in either of them such as in 6 and
16, then 96 is the product and a multiple. However if 96 is reduced by 2, then 48 is the LCM.
Ms. Brown wants to introduce her students to the concept of ratio. Which of the following sets of
manipulatives best describe those that can effectively be used to teach this concept? - CORRECT
ANSWER✅✅color tiles, cubes, Cuisenaire rods, tangrams, pattern blocks, 2-color counters
Sorting, classification, investigation of size, shape, color, logical reasoning, sequencing, patterns,
symmetry, similarity, congruence, thinking skills, geometry, organization of data.
The goal of the teacher is to develop activities that move children from the concrete through the
abstract stages of reasoning necessary for learning higher-level mathematical concepts. Manipulatives
help teachers accomplish this goal. - CORRECT ANSWER✅✅Attribute blocks
Sorting, ordering, counting, number concepts, comparisons, fractions, ratio, proportion, place value,
patterns, even, and odd numbers.
. The goal of the teacher is to develop activities that move children from the concrete through the
abstract stages of reasoning necessary for learning higher-level mathematical concepts. Manipulatives
help teachers accomplish this goal. - CORRECT ANSWER✅✅Cuisenaire rods
is embedded in the sequence of instruction and is designed to enhance learning with non-threatening
results and adapt to student needs. - CORRECT ANSWER✅✅Formative assessment
A teacher begins a new lesson on Trigonometry 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?
, should be used once the concepts are believed to be understood by the students not in the initial
learning process because these assessments contain formal grades. - CORRECT ANSWER✅✅summative
Troy and Walter are neighbors. They both have mowed their grass today. Troy mows his grass every 3
days. Walter mows his grass every 5 days. How many days will it be before they both mow their grass on
the same day?Based on the word problem, the lesson will most likely cover which of the following? -
CORRECT ANSWER✅✅Least common multiple
The smallest number that both 3 and 5 will divide into without a remainder is 15. Thus, 15 is the least
common multiple.
The teacher tells the class to put the following numbers in order from smallest to largest.8 -3.5 9⁄2 π 2.1
2.03 √ 2 Based on the exercise the teacher has given, the exercise is most likely trying to assess which of
the following number concepts. - CORRECT ANSWER✅✅Relative magnitude
Relative magnitude includes ordering or comparing place value of real numbers on a number line.
Use the information below to answer the question that follows.
Items are computer $1800 discount 33.3% monitor $360 discount 25% and printer $100 discount 20%.
A store is having an end-of-the-year computer sale. What is the total cost of a discounted computer
system (i.e., computer, monitor, and printer)? - CORRECT ANSWER✅✅$1,550.60
1) First you need to know the amount that is being discounted off the regular price for each of the
items. (2) Next, you need to subtract the discounts from the regular prices to know the discounted sale
price for each item.(3) Add the results of step (2) to calculate the total cost of the discounted computer
system. Percentage Decimal format 33.3 % = .333
25% = .25, 20% = .20 Step 1 Step 2 Step 3 Computer: .333 x $1800.00 = $599.40 → 1,800 - 599.40 =
1200.60 Monitor: .25 x $360.00 = $90.00 → 360.00 - 90.00 = 270.00 Printer: .20 x $100.00 = $20.00 →
100.00 - 20.00 = 80.00 Total Cost: $1,550.60
Find the sum of the following: 2/9 + 1/4 + 1/6 - CORRECT ANSWER✅✅23/36
