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MAT 099 Foundations of Mathematical Reasoning

Foundations of Mathematical Reasoning provides the skills and conceptual understanding needed to be successful in future algebra-intensive Calculus pathway coursework. This course provides the foundation of algebraic reasoning rooted in contextualized examples.

Credits

4

Prerequisite

None

See Course Syllabus

Course Number and Title:

MAT 099 Foundations of Mathematical Reasoning

Campus Location

  • Dover
  • Georgetown
  • Stanton
  • Wilmington

Effective Date

202551

Prerequisites

None

Course Credits and Hours

4 credit(s)

4 lecture hours/week

0 lab hours/week

Course Description

Foundations of Mathematical Reasoning provides the skills and conceptual understanding needed to be successful in future algebra-intensive Calculus pathway coursework. This course provides the foundation of algebraic reasoning rooted in contextualized examples.

Additional Materials

Approved online graphing calculator (see course policies) or approved graphing calculator (see bookstore).

Required Text(s)

Obtain current textbook information by viewing the campus bookstore - https://www.dtcc.edu/bookstores online or visit a campus bookstore. Check your course schedule for the course number and section.

Disclaimer

None

Core Course Performance Objectives (CCPOs)

  1. Solve contextualized problems by applying concepts of numeracy. (CCC 2,6)
  2. Solve contextualized problems using proportional reasoning involving the usage of ratios, rates, and proportions. (CCC 2,6)
  3. Solve contextualized problems involving one or more unknown values. (CCC 2,6)
  4. Perform arithmetic operations on polynomial expressions. (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:

  1. Solve contextualized problems by applying concepts of numeracy.
    1. Identify appropriate mathematical operations for the context and communicate verbally and symbolically with real numbers.
    2. Convert between fractions, decimals, and percentages to represent quantities in equivalent forms.
    3. Solve problems involving calculations with fractions, decimals, and percentages and communicate verbally and symbolically the meaning of the results within a range of problem contexts.
    4. Convert between units of measurement using dimensional analysis.
    5. Perform arithmetic operations using integers and rational numbers.
    6. Solve contextualized problems using integers and rational numbers.
  2. Solve contextualized problems using proportional reasoning involving the usage of ratios, rates, and proportions.
    1. Use ratios in a variety of forms.
    2. Determine whether two ratios are equivalent.
    3. Solve for the unknown in a proportional relationship.
    4. Find and interpret the rate of change in linear relationships in a variety of contexts.
  3. Solve contextualized problems involving one or more unknown values.
    1. Describe, identify, compare, and contrast the effect of multiplicative or additive change.
    2. Evaluate functions for a given value graphically and algebraically.
    3. Solve linear equations graphically or algebraically.
    4. Construction linear or exponential models to solve problems from a variety of contexts.
    5. Determine the slope, x-intercept, y-intercept of a line algebraically and graphically.
  4. Perform arithmetic operations on polynomial expressions.
    1. Simply expressions using rules of exponents.
    2. Add, subtract, and multiply polynomials.
    3. Divide polynomials by monomials.
    4. Factor polynomial expressions.

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

Formative: Preview Assignments

5%

Formative: Practice Assignments

15%

Formative: Weekly Activities

20%

Summative: Unit Tests

60%

TOTAL

100%

Program Graduate Competencies (PGCs are the competencies every graduate will develop specific to his or her major)

N/A

Core Curriculum Competencies (CCCs are the competencies every graduate will develop)

  1. Apply clear and effective communication skills.
  2. Use critical thinking to solve problems.
  3. Collaborate to achieve a common goal.
  4. Demonstrate professional and ethical conduct.
  5. Use information literacy for effective vocational and/or academic research.
  6. 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.

Minimum Technology Requirements

Minimum technology requirements for online, hybrid, video conferencing and web conferencing courses.

Academic Integrity

https://dtcc.smartcatalogiq.com/Current/Catalog/Academics/Academic-Integrity

Attendance

https://dtcc.smartcatalogiq.com/Current/Catalog/Search?q=attendance

Cell phone/Electronic Device

https://dtcc.smartcatalogiq.com/Current/Catalog/Student-Policy/Cell-Phone-and-Electronic-Device-Policy

Tuition Adjustment Policy

https://dtcc.smartcatalogiq.com/Current/Catalog/Financial/Tuition-Fee-Adjustment-Policy-Course-or-Semester-Withdrawal