MAZ505: Algebraic Modeling (2012-2013)
CURRICULUM PROGRAM: Mathematics
COURSE TITLE: Algebraic Modeling
CALENDAR YEAR: 2012-2013
GRADE LEVEL: 9-12
COURSE LENGTH: 36 weeks
Major Concepts/Content: Algebraic Modeling will help students understand the connection between math and their daily lives. Students will explore Algebra 1 topics such as linear, quadratic, exponential and piecewise functions by modeling real world situations. Students will identify key characteristics, represent problems algebraically and graphically, determine lines/curves of best fit and make predictions. Concepts and solutions are presented in non-threatening, easy-to-understand language with numerous examples to illustrate ideas. Whether the student will go on to study early childhood education, graphic arts, automotive technologies, criminal justice or something else, the student will discover that the practical applications of mathematical modeling will continue to be useful well after they have finished this course.
Major Instructional Activities: This course is designed to help students make connections between algebra and real world applications through activities, modeling and extensive conversations. Students will be expected to explore real world data, make conjectures about different situations and communicate their thoughts in a variety of ways. Students will become proficient in a variety of technologies including: graphing calculators and software for graphing /modeling, word processing, spreadsheet processing and presentation software.
Major Evaluative Techniques: Students will demonstrate their knowledge through tests, hands-on demonstrations, technical reports, projects, case studies, and reflections.
Course Objectives: Throughout this course, students will create and use mathematical models employing algebraic modeling techniques with the following mathematical concepts:
- Linear Functions
- Systems of Equations
- Quadratic Functions
- Exponential, Power and Logarithmic Functions
- Piecewise Functions