(Top 2024/2025 EXAM REVIEW PAPERS / GRADED A+/ 100% Accurate) C109 - Elementary Mathematics Methods Module Questions and more. 100% Accurate Answers, With rationale. Rated A+ Unit 2

C109 - Elementary Mathematics Methods Module Questions and more. 100% Accurate Answers, With rationale. Rated A+ Unit 2 National, State, and Local Mathematics Standards A teacher is planning a lesson on adding and subtracting positive and negative integers. The teacher will use red and black chips as a manipulative and allow students to develop patterns for understanding the addition and subtraction problems. The following NCTM standard is associated with the lesson: "Represent the idea of a variable as an unknown quantity using a letter or a symbol." How do you rate the activity and alignment to the standard? A) The activity is effective at showing students how to add and subtract integers but the standard is not aligned. B) The activity is not effective at showing students how to add and subtract integers and the standard is not aligned. C) The activity is not effective at showing students how to add and subtract integers but the standard is aligned. D) The activity is effective at showing students how to add and subtract integers and the standard is aligned. A) The activity is effective at showing students how to add and subtract integers but the standard is not aligned. Correct! While this lesson does a very good job of teaching students to represent integers both numerically and with a manipulative, it does not address the use of variables. Since the standard relates to variables, not integers, the lesson is not aligned. A teacher wants students to write out how to use positive and negative chips to model operations with integers. How does this lesson address the Communication Standard from the Principles for School Mathematics? A) Students will use precise math language to express their reasoning. B) Students will model an abstract concept using manipulatives. C) It allows students to connect previously learned math to newly learned math content. D) Students use the manipulative to show the teacher how to add and subtract integers. A) Students will use precise math language to express their reasoning. Correct! When students work through various math problems, it is important that you encourage them to use mathematically precise language. For example, students tend to use top number and bottom number when working with fractions. Math teachers should use good questioning techniques and respond to students by modeling how to use mathematically precise language. For example, the teacher could say, "How did you get your common denominator?" Which stakeholder is directly in charge of choosing mathematical standards? A) State departments of education B) Parent-teacher organizations C) Federal department of education D) Teacher organizations A) State departments of education Correct! The state department of education in each state determines which standards will be taught in their schools. While the federal government may suggest standards, and even financially incentivize adopting those standards, the decision of which standard is implemented lies with each individual state. According to the Teaching Principle defined by NCTM, effective mathematics teaching requires __________. A) educated mathematics teachers who possess certification in their subject B) understanding what students know and need to learn C) instructional and financial support D) knowing the important ideas to teach B) understanding what students know and need to lear