MTTC Elementary Education – MATHEMATICS questions and answers graded A+.

MTTC Elementary Education – MATHEMATICS questions and answers graded A+. Which of the following problem-solving strategies would be most effective and appropriate to use in solving the problem below: A company puts a free toy in each box of cereal and states that there is a one in four chance of getting the astronaut toy with each purchase. On average, how many boxes will need to be purchased to get an astronaut? A. expressing numbers in base four B. working backwards to find an equation C. simulating the situation using a random process D. graphing points on a coordinate system to find a pattern - correct answer. C A fifth-grade teacher is writing an article on mathematics activities in the classroom. The article describes how students use manipulatives to solve measurement problems. The teacher included trademark symbols with he name of the manipulative. The teacher also included photographs of students working with the manipulatives. None of the students in the photographs were identified by name. To ensure compliance with ethical guidelines, the teacher should take which of the following actions prior to posting the article on the internet? A. providing links to the manufacturers of the manipulative that have trademarked names B. providing a disclaimer stating that the school district does not endorse the pedagogical methods used C. explicitly identifying the manipulative used in a caption below each photograph D. obtaining permission from parents/guardians before posting pictures of the students - correct answer. D A fourth-grade teacher is planning a unit in which students will use a computer application to create their own tessellations. The teacher would like to develop a series of related activities and assessments to help develop students' mathematical reasoning skills related to the use of the application. Which of the following topics would be most appropriate for the additional materials to address? A. reflections, rotations, and translations B. area of composite figures C. similarity and proportional reasoning D. graphs of simple equations - correct answer. A Using the distributive property can best be described as: A. an axiom B. a proof C. a postulate D. a definition - correct answer. B Integers are a subset of which of the following sets of numbers? A. negative numbers B. natural numbers C. rational numbers D. irrational numbers - correct answer. C Which of the following activities is most effective for creating a foundation for understanding the concept of multiplication? A. practicing basic addition facts with numbers 1 through 10 B. using base-ten blocks to model two-digit numbers C. modeling equality of numbers with a balance scale D. skip counting by different intervals on a number line - correct answer. D If the least common denominator is used to perform the operation a/6 + b/15, what will be the value of the numerator for the equivalent representation of a/6? A. 2a B. 5a C. 6a D. 15a - correct answer. B In which of the following pairs are the numbers equivalent? A. 106.0 x 10 ^ 4 and 1060.0 B. 8.63 x 10 ^ -5 and 0.00863 C. 5.72 x 10 ^ 5 and 572,000.0 D. 0.3374 x 10 ^ -4 and 0.0003374 - correct answer. C A person buys an item that costs $3.60 and pays for it with a $5.00 bill. The amount of change, in dollars, represents a number from which of the following sets? A. natural numbers B. rational numbers C. whole numbers D. nonnegative integers - correct answer. B According to the order of operations, what could be the first step in simplifying the expression below? 4/3 [(6^2 - 3^2) + 9 - 6] A. (8^2 - 4^2) + 12 - 8 B. 4/3 [(3^2) + 9 - 6] C. 4/3 [(6^2 - 3^2) - 3] D. 4/3 [(36 - 9) + 9 - 6] - correct answer. D An individual wants to purchase an air conditioner and can choose between two different options. Both options have an original price of $200. The first option offers 30% off the original price and charges $20 for shipping. The second option offers 15% off the original price and shipping is free. What is the difference in savings between the two options? A. $5 B. $10 C. $15 D. $20 - correct answer. B A teacher shows students how they can improve their computational fluency by providing them with frequent opportunities to use mental math to solve problems such as the ones below. 2 + 8 + 7 + 3 = ? 9 + 4 + 3 + 3 = ? 3 + 7 + 2 + 3 = ? Which of the following best describes the teacher's approach? A. finding sums by working left to right B. using a combination of addition and subtraction together C. finding number pairs that sum to easily recognizable numbers D. converting addition problems into multiplication problems - correct answer. C