Course Title:Fundamentals of Elementary Math II

Course No: MTH212

Credits: 5

Date: February 2011

Institution:Rogue Community College

Type of Course:Transfer

Length of Course:A minimum of sixty (40 lecture/20 lab) hours per one term.

Prerequisites:MTH211, appropriate placement score on the RCC Placement test, or consent of instructor

Department Assignment:Mathematics

Course Description: MTH212 is the second term of a threeterm sequence of transfer courses designed to prepare pre-service elementary and middle school teachers for entrance into the Oregon teacher certification program. The course will study the topics from basic math, algebra, counting theory, probability, and statistics.

Course Outcomes, Skills and Assessment: On successful completion of this course, the students will be able to:

Expected Outcomes: / ILO Key Indicators / Assessment Methods:
1. Identify and use problem solving steps and problem solving strategies to understand, analyze and solve problems. / AK 1 - Demonstrate ability to transfer learning in familiar and unfamiliar contexts in order to complete tasks.
CT 4 - Envision creative approaches to issues and problems.
AK 2 -Integrate previous and new learning, along with practical skills, to solve problems. / 1. Homework problems and criterion referenced tests.
2. Identify and use the attributes of measurements to describe the nature of the rational numbers. / COM 2 - Express ideas clearly in oral, written and visual work.
AK 4 - Use numeracy skills for interpretation, synthesis, and analysis of data. / 2. Homework problems, class presentations, and criterion referenced tests.
3. Define and give examples of primes, composites, factors and multiples; and use these effectively to simplify rational number calculations and results. / COM 2 - Express ideas clearly in oral, written and visual work.
AK 4 - Use numeracy skills for interpretation, synthesis, and analysis of data. / 3. Homework problems, class presentations, and criterion referenced tests.
4. Use definitions and properties to describe operations, and operational algorithms, with rational numbers. / COM 2 - Express ideas clearly in oral, written and visual work.
AK 4 - Use numeracy skills for interpretation, synthesis, and analysis of data. / 4. Homework problems, class presentations, and criterion referenced tests.
5. Calculate rational number results accurately whether using mental math, paper and pencil, or computational technology. / AL1 - Understand and accept responsibility for learning.
AL 2 - Put forth the time and effort necessary to succeed.
AK 4 - Use numeracy skills for interpretation, synthesis, and analysis of data. / 5. Homework problems and criterion referenced tests.
6. Define probability and use this definition with specific properties and models for probability to explain and calculate P(E), P(A and B),
P(A or B), P(A | B) and odds in elementary problem situations. / COM 2 - Express ideas clearly in oral, written and visual work.
AL 3 - Internalize and assimilates information into new situations.
AK 4 - Use numeracy skills for interpretation, synthesis, and analysis of data. / Homework problems, class presentations, and criterion referenced tests.
7. Use fundamental counting techniques, including permutations and combinations, to determine the size of a set of outcomes. / COM 2 - Express ideas clearly in oral, written and visual work.
AL 3 - Internalize and assimilates information into new situations.
AK 4 - Use numeracy skills for interpretation, synthesis, and analysis of data. / 7. Homework problems, class presentations, and criterion referenced tests.
8. Create, explain and use graphical displays of statistical information. / COM 2 - Express ideas clearly in oral, written and visual work.
AK 4 - Use numeracy skills for interpretation, synthesis, and analysis of data. / 8. Homework problems, class presentations, and criterion referenced tests.
9. Explain, calculate and use relevant statistical measures of central tendency, variability and relative standing. / COM 2 - Express ideas clearly in oral, written and visual work.
AK 4 - Use numeracy skills for interpretation, synthesis, and analysis of data. / 9. Homework problems, class presentations, and criterion referenced tests.
10. Create and use spreadsheets for investigations of, or practice with; rational number, probability, data analysis, and graphing analysis skills. / AL 5 - Use technological tools to research new information, solve problems, and communicate effectively.
CT 4 - Envision creative approaches to issues and problems. / 10. Excel spreadsheet assignments and final project.
11. Communicate and respond to mathematical conjectures by seeking verification using mathematical definitions, properties and theorems. Analyze and respond to the mathematical conjectures of others. Respectfully disagree with a conjecture by providing counterexamples. / CT 2 - Raise significant and relevant questions.
AL 3 - Internalize and assimilates information into new situations.
COM 1 - Display understanding, compassion and acceptance. / 11. Classroom observations, homework problems and criterion referenced tests.
12. Develop, evaluate, and present elementary mathematical arguments (proofs) using properties and theorems developed in this course. / AK 2 -Integrate previous and new learning, along with practical skills, to solve problems. / 12. Homework problems and criterion referenced tests.

Typical Required and Recommended Equipment and Text(s): Musser, Burger, Petersen, Mathematics for Elementary Teachers, eighth edition, 2007. A scientific calculator. Microsoft Excel 2003 or better recommended only.

TYPICAL COURSE OUTLINE:

Introduction

Unit 1:Factors and multiples

The set of fractions

Fraction addition and subtraction

Fraction multiplication and division

Unit 2:Decimals

Operations with decimals

Ratios and proportion

Percents

Unit 3:Organizing and picturing information

Misleading graphs and statistics

Analyzing data using measures of center, variance and dispersion

Unit 4: Probability and simple experiments

Probability and complex experiments

Counting techniques

Simulation, odds and conditional probability

Unit 5: Patterns, algebraic functions and graphs