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This course is designed for prospective early childhood or elementary teachers. Students will use the 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.
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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- Demonstrate the ability to teach techniques of problem solving. (CCC 2, 6)
- Use principles of set theory to solve problems. (CCC 2,6)
- Use principles of number theory to solve problems. (CCC 2,6)
- Perform operations using the real number system. (CCC 6)
- Solve problems using elementary algebra. (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:
- Demonstrate the ability to teach techniques of problem solving.
- 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.
- Illustrate sets with Venn diagrams pointing out and differentiating intersections, unions, and complements.
- Determine the intersection, union, and complement given two or more sets.
- Solve application problems using Venn diagrams.
- 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.
- Perform operations using the real number system.
- Convert among various number systems such as Egyptian, Chinese, Roman, Mayan and Hindu-Arabic numeration.
- Compute addition, subtraction, and multiplication problems using expanded notation for addition and subtraction and lattice method for multiplication.
- Perform basic operations of addition, subtraction, multiplication, and division of decimals and fractions.
- Convert among decimals, fractions, and percentages.
- Simplify radicals, and perform basic operations.
- 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.
- Solve problems using elementary algebra.
- Solve linear equations.
- Solve application problems
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 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.
Calculated using the following weighted average
Evaluation Measure |
Percentage of final grade |
5 Tests and 3 Projects (summative) (equally weighted) |
80% |
Formative Assessments |
10% |
Homework (formative) |
10% |
TOTAL |
100% |
- 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.