Math 1050 E - Integrated College Algebra for Elementary Teachers

Description:

Designed as an alternative approach to traditional lectures for education majors and meets the prerequisite for MATH 2010, and provides students with appropriate background for advanced mathematical endorsements. Topics include a review of fundamental algebra; the course will cover equations, inequalities, functions (linear, quadratic, rational, exponential and logarithmic), linear programming, sequences, series, and non-linear systems of equations their graphs, matrix algebra, identities, equations, inverse functions, and partial fractions. This course is a lecture/lab course with an emphasis on concrete applications. In addition to the traditional content, this class integrates grade specific methods (such as the appropriate use of manipulatives and inquiry-based learning) and integration of technology such as graphing calculators and computer-assisted instruction. The class emphasizes the National Council of Teachers of Mathematics (NCTM) standards and grade-level expectations. Methodologies will integrate current professional standards, such as NTCM/NCATE standards, with classroom activities, homework assignments, quizzes, tests, projects, demonstrations, and research and comprehensive exam. Satisfies prerequisites for MATH 1060, MATH 1100, and MATH 2010. Prerequisite: MATH 1010 (with an earned grade of C or better) or equivalent or ACT of 23 or higher within two years of enrollment. 5 lecture/lab hours per week.

All mathematics classes at Dixie College will:

1. Require students to perform mathematical processes including arithmetical, algebraic, and proportions/ratios, algebraic equations and/or calculus techniques.
2. Provide students with application problems that use a variety of methods including arithmetical, algebraic, and geometric methods.
3. Challenge students to make inferences from mathematical processes including fractions, percentages, decimals, proportions/ratios, algebraic, equations and/or calculus techniques.
4. Provide students with application problems that use a variety of mathematical functions.

Upon successful completion of Math 1050, a student will demonstrate through testing and projects the ability to:

1. Apply functional notation.
2. Determine symmetries that exist in the graph of an equation.
3. Graph polynomial functions and find their intercepts, maxima, and minima.
4. Analyze the key components of the graph of polynomial and rational functions.
5. Compute the composition and inverse of functions.
6. Graph exponential and logarithmic functions.
7. Apply properties of logarithms and exponents in simplifying expressions and solving equations.
8. Solve systems of linear equations using substitution, elimination, matrices, and Cramer's Rule.
9. Perform matrix arithmetic, including determinants and finding an inverse matrix.
10. Solve non-linear systems of equations and inequalities. Demonstrate concrete grade specific applications.
11. Find terms and sums of terms of arithmetic and geometric sequences and series. Identify and analyze national and state professional standards for course content.
12. Compute the terms of binomial expansion.
13. Identify and analyze national and state professional teaching standards related to course content.
14. Integrate discovery-based methods with traditional content.