Course Number and Title:
MAT 183 Reasoning with Functions I
Campus Location
- Georgetown
- Dover
- Stanton
- Wilmington
Prerequisites
Prerequisite: Test Scores or MAT 099
Course Credits and Hours
5 credit(s)
5 lecture hours/week
0 lab hours/week
Course Description
Reasoning with Functions I is the first course of a two course sequence that prepares students to enter Calculus and be successful in future STEM coursework. This course will focus on functions by examining multiple representations and explicit covariational reasoning to investigate and explore quantities, their relationships, and how the relationships change. In addition, students taking the course will analyze a variety of function types including linear, quadratic, polynomial, power, exponential, and logarithmic
Additional Materials
Graphing Calculator
Core Course Performance Objectives (CCPOs)
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Investigate quantities, describe and connect relationships between quantities, and attend to how two quantities change together using multiple representations of different function types. (CCC 2,6)
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Analyze and solve contextualized problems by converting between different representations and algebraic forms of functions and connecting common characteristics or features between those functions. (CCC 2,6)
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Apply algebraic reasoning to write equivalent expressions and solve equations. (CCC 2,6)
See Core Curriculum Competencies and Program Graduate Competencies at the end of the syllabus. CCPOs are linked to every competency they develop.
Measurable Performance Objectives (MPOs)
Upon completion of this course, the student will:
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Investigate quantities, describe and connect relationships between quantities, and attend to how two quantities change together using multiple representations of different function types.
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Conceptualize and define variables that are present in a given situation to include: measurement and association of units within numerical values and “delta” notation to denote change in quantities.
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Compare and interpret how two quantities change together by justifying the presence of a relationship, identifying constraints on quantities and domains, distinguishing between dependent and independent variables, and drawing diagrams of situations.
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Interpret rates of change of quantities embedded in multiple representations (e.g. tables, graphs, contexts, and equations.
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Utilize function notation where necessary and make sense of how the inputs and outputs are related to the given situation.
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Investigate, connect, and describe the patterns and relationships found in multiple function types to include: linear, quadratic, exponential, logarithmic, rational, periodic, and piecewise functions.
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Analyze and solve contextualized problems by converting between different representations and algebraic forms of functions and connecting common characteristics or features between those functions.
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Create, use, and interpret linear equations and convert between forms as appropriate to include: reading slope and intercept from multiple representations; calculate equations of lines given the point and slope, two points, or statements about proportional relationships and/or first differences being constant.
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Create, use, and interpret exponential equations and convert between forms as appropriate to include: modeling constant percent change, half-life, doubling time, and inverting the exponential process (logarithms).
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Construct, use, and describe transformations and operations of functions.
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Construct, use, and describe compositions of functions.
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Construct, use, and describe inverses of functions.
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Apply algebraic reasoning to write equivalent expressions and solve equations.
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Simplify polynomial, exponential, radical, rational, and logarithmic expressions.
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Solve polynomial, exponential, radical, rational, and logarithmic equations.
Evaluation Criteria/Policies
The grade will be determined using the Delaware Tech grading system:
| 90-100 |
= |
A |
| 80-89 |
= |
B |
| 70-79 |
= |
C |
| 0-69 |
= |
F |
Students should refer to the
Catalog/Student Handbook for information on the Academic Standing Policy, the Academic Integrity Policy, Student Rights and Responsibilities, and other policies relevant to their academic progress.
Final Course Grade
Calculated using the following weighted average
|
Evaluation Measure
|
Percentage of final grade
|
|
Summative: Exams – 3 Unit Tests and final exam in two parts (equally weighted)
|
65%
|
|
Formative Assessments
|
15%
|
| Formative: Preview Assignments |
5% |
| Formative: Practice Assignments |
15% |
|
TOTAL
|
100%
|
|
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|
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|
| |
|
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Core Curriculum Competencies (CCCs are the competencies every graduate will develop)
- Apply clear and effective communication skills.
- Use critical thinking to solve problems.
- Collaborate to achieve a common goal.
- Demonstrate professional and ethical conduct.
- Use information literacy for effective vocational and/or academic research.
- Apply quantitative reasoning and/or scientific inquiry to solve practical problems.
Students in Need of Accommodations Due to a Disability
We value all individuals and provide an inclusive environment that fosters equity and student success. The College is committed to providing reasonable accommodations for students with disabilities. Students are encouraged to schedule an appointment with the campus Disabilities Support Counselor to request an accommodation needed due to a disability. The College's policy on accommodations for persons with disabilities can be found in the College's Guide to Requesting Academic Accommodations and/or Auxiliary Aids Students may also access the Guide and contact information for Disabilities Support Counselors through the Student Resources web page under Disabilities Support Services, or visit the campus Advising Center.