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Mathematics for Elementary Teachers II MAT 202 Course Information Textbook Information Title: Mathematical Reasoning For Elementary Teachers: A Contemporary Approach 7e Author: Long, DeTemple, Millman Publisher: Pearson ISBN-13: 978-0-32190099-9 Sections to Cover Chapter or Appendix Chp. 8 Chp. 9 Chp. 10 Chp. 11 Chp. 12 Chp. 13 Chp. 14 Section Topic Algebraic Reasoning, All Graphing, and Connections with Geometry All Geometric Figures 10.1, Measurement: Length, Area 10.3,10.5 and Volume Transformations, All Symmetries, and Tilings Congruence, Constructions, All and Similarity Statistics: The Interpretation All of Data All Probability Learning Outcome(s) Notes 1, 10, 11 5, 10, 11 2, 3, 4, 10, 11 10.2, 10.4 optional 5, 6 5, 10, 11 9, 10, 11 7, 8, 10, 11 Edited: 7/23/2014 MAT 202 Learning Outcomes and Standards Learning Outcome 1. Explain notation and theory of algebra. 2. Identify and analyze measurable attributes of objects and the units, systems, and processes of measurement. 3. Apply appropriate techniques, tools, and formulas to determine measurements. 4. Distinguish between standard and non-standard units and among one-, two-, and three-dimensional applications. 5. Explore a variety of geometric concepts and relationships using appropriate technologies and concrete models. 6. Use tessellations to construct geometric figures. 7. Conduct probability experiments using technologies and concrete models. 8. Interpret probability in real-world situations. 9. Organize and interpret data. 10. Apply a variety of technological tools to investigate and calculate. 11. Utilize mathematical manipulatives to solve problems and illustrate solutions Standard(s) 1. Identify, describe, and explain function relationships using multiple representations. 2. Given an object, choose an appropriate unit of measure and solve applied problems involving various measurements. 3. Calculate measures using various techniques and convert answers to other units of measure. 4. Describe, model, draw, and classify one-, two- and three-dimensional shapes. 5. Use symmetry, reflections, translations, and rotations to formulate conjectures. 6. Utilize shapes, polygons, or original designs to tessellate a plane. 7a. Illustrate and define sample space, event, probability, odds and experiment. 7b. Calculate simple probability. 7c. Distinguish between experimental and theoretical probability. 7d. Create and carry out a probability experiment. 7e. Calculate probability of multi-stage experiments using area models, probability trees and other appropriate models. 7f. Utilize counting strategies such as factorials, combinations and permutations. 8. Identify patterns and trends found in data using technologies and concrete models. 9a. Create and interpret statistical graphs and charts. 9b. Find and interpret measurements of central tendency such as mean, median, mode and weighted averages. 9c. Find and interpret measures of variation such as standard deviation, range and quartiles. 9d. Find and interpret measure of rank such as quartiles, percentiles, z-scores and stanines. 9e. Use the normal curve to interpret data. 10. Apply electronic technologies throughout the course. 11a. Identify, describe, and explain function relationships using multiple representations. 11b. Describe, model, draw, and classify one-, two-, and three-dimensional shapes. 11c. Utilize shapes, polygons, or original designs to tessellate a plane. Edited: 7/23/2014 Edited: 7/23/2014