MTTC Elementary Education – MATHEMATICS Question and answer already solved 2023

MTTC Elementary Education – MATHEMATICS Question and answer already solved 2023Which 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 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 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 A Using the distributive property can best be described as: A. an axiom B. a proof C. a postulate D. a definition 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 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 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 B