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This course is designed for prospective early childhood or elementary teachers. Students use skills and techniques necessary to apply mathematical concepts to a variety of situations. Topics include techniques of problem solving, set theory, number theory, the real number system, and algebraic equations and inequalities.

Obtain current textbook information by viewing the campus bookstore online or visit a campus bookstore. Check your course schedule for the course number and section.

Scientific calculator

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- Apply problem solving techniques to a variety of mathematical applications. (CCC 2, 6)
- Use principles of set theory to solve problems. (CCC 2, 6)
- Perform operations using various number systems. (CCC 6)
- Use principles of number theory to solve problems. (CCC 6)
- Develop, solve, and interpret linear algebraic equations. (CCC 2, 6)
- Develop, solve, and interpret systems of linear equations and inequalities. (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.

Upon completion of this course, the student will:

- Apply problem solving techniques to a variety of mathematical applications.
- Solve application problems using Polya’s four-step method.
- Solve problems using a variety of techniques, including pattern recognition, trial and error, guess and check, and inductive reasoning.
- Develop and solve equations to solve word problems.

- Use principles of set theory to solve problems.
- Classify a number as natural, whole, integer, rational, irrational or real, and combinations thereof.
- Classify sets using words, lists, and set-builder notation.
- Classify sets as finite or infinite.
- Classify subsets as proper subsets using an “if and only if” statement.
- Classify sets as being empty, equal, or equivalent.
- Illustrate sets with Venn diagrams pointing out and differentiating intersections, unions, and complements.
- Determine the intersection, union, complement, and Cartesian product given two or more sets.
- Solve application problems using Venn diagrams.

- Perform operations using various number systems.
- Convert among various number systems, including but not limited to Egyptian, Chinese, Roman, Mayan, and Hindu-Arabic numeration.
- Compute addition and subtraction problems using expanded notation.
- Perform multiplication using a variety of methods such as lattice, Egyptian, Napier’s rods, and Russian peasant.
- Convert between number bases.
- Add and subtract in bases other than base ten.
- Perform basic operations of addition, subtraction, multiplication, and division of decimals and fractions.
- Convert among decimals, fractions, and percentages.
- Simplify radicals.
- Perform basic operations of addition, subtraction, and multiplication of radicals.
- Use the commutative, associative, identity, distributive, and closure properties on real numbers.
- Use the order of operations to solve problems involving addition, subtraction, multiplication, and division of real numbers.

- Use principles of number theory to solve problems.
- Identify a number as prime or composite.
- Test divisibility of any number using divisibility rules.
- Determine the prime factorization for a composite number.
- Determine the greatest common factor (GCF) and least common multiple (LCM) among two or more numbers.

- Develop, solve, and interpret linear algebraic equations.
- Solve and graph linear equations and inequalities.
- Solve application problems.
- Determine the equation of a line in the slope intercept form and in the standard form when given two coordinates on the line, a coordinate on the line and a slope of the line, a coordinate on the line and the equation of a second line that is parallel or perpendicular to first line, and a graph of the line.

- Develop, solve, and interpret systems of linear equations and inequalities.
- Evaluate systems of linear equations algebraically.
- Interpret solutions of linear systems using graphing technology.
- Graph systems of linear inequalities.

Students must demonstrate proficiency on all CCPOs at a minimal 75 percent level to successfully complete the course. The grade will be determined using the Delaware Tech grading system:

92 | – | 100 | = | A |
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83 | – | 91 | = | B |

75 | – | 82 | = | C |

0 | – | 74 | = | F |

Students should refer to the 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.

- 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.

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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. A listing of campus Disabilities Support Counselors and contact information can be found at the disabilities services web page or visit the campus Advising Center.