# Mathematics for Elementary Education 2

Course Number:
MATH&132
Course Credits:
5.00
Course Description:
MATH& 132 is the second of two courses that are designed to fulfill the requirements for entry into a bachelors program in elementary education at a four year university. The major objective of this course is to prepare the prospective K-8 teacher to understand elementary school mathematical concepts taught from kindergarten through the eighth grade. MATH& 132 focuses on geometric figures, measurement, probability and statistics. In conjunction with studying these topics, students will improve their abilities to recognize patterns and make connections to the mathematical ideas explored. Each student will be expected to justify his or her reasoning and communicate the results through such means as group activities, written discussions, oral presentations and/or other methods. Students who complete both MATH& 131 and MATH& 132 will satisfy the quantitative skills requirement (MATH& 131) and be granted 5 credits of specified elective.
Course Prerequisites:
Recommended Preparation: ENGL 095 or placement in ENGL& 101. Prerequisites: A grade of "C" or better in MATH 097 or appropriate placement score.
Course Outcomes:
• Convert between metric units for length, area and volume
• Find perimeters by using unit values
• Measure lengths with a ruler and find angles using a protractor
• Determine the number of degrees around a circle, several circles, or part of a circle
• Use right angles, straight angles and vertical angles to find other angles in figures
• Find angles in a triangle given other angles
• Determine angles in a polygon
• Count “natural units” given a plane figure to find area
• Count “natural units” given a 3-dimensional figure to find surface area
• Count “natural units” given a 3-dimensional figure to find volume
• Calculate circumference by formula
• Calculate areas of parallelograms, triangles, trapezoids and circles by formula
• Calculate surface area and volume of a sphere by formula
• Find area and perimeter of figures that consist of several shapes
• Determine the volume of a prism by analysis and use of formulas
• Determine the volume of a cone or pyramid by formula
• Use the Pythagorean Theorem to solve problems including finding area and volume
• Find outcomes for probability experiments
• Distinguish between outcomes and events in probability experiments
• Find simple probabilities (number of times an event occurs/number of trials) by empirical experiments
• Find simple probabilities (number in the event/number in the sample space) by theoretical models
• Use probability facts to calculate probabilities
• Calculate odds or vice versa
• Find outcomes in a sample space by observation, the use of trees and orderly lists
• Find the probability of the union of two events
• Find the probability of the intersection of two events
• Calculate conditional probabilities
• Identify population, sample, parameter and statistic when given a specific situation
• Identify sampling techniques
• Represent categorical data by creating bar graphs
• Represent measurement data by producing histograms and stem and leaf plots
• Calculate medians, quartiles, 5-number summaries and create box-plots
• Calculate the mean and find the mode for data
• Calculate variance and standard deviation
• Find percentiles, proportions, probabilities and percentages of populations using normal curves
• Distinguish between permutations and combinations and calculate each type