# MAT 201 Structure of Math Systems I

Exit Skills

1.  Articulate and implement problem-solving strategies, including
1. Look for a pattern.
2. Examine a related problem.
3. Examine a simpler case.
4. Make a table.
5. Make a diagram, including bar modeling.
6. Guess and check.
2. Examine and articulate the logic of the base 10 number system by comparing/contrasting it with various number systems.
3. Describe and complete operations on sets.
4. Examine the properties of operations on real numbers and their subsets of whole numbers, integers, and rational numbers.
5. Model situations that involve numerical operations.
6. Examine standard and non-standard algorithms for calculating operations on real numbers.
7. Compute in bases other than 10, including 2, 5, and 12, and translate numbers from and to base 10 and other bases.
8. Develop strategies for calculating numerical operations mentally.
9. Describe the difference between terms/factors and constants/variables.
10. Explore relationships between symbolic notations and graphs of lines with special attention to the meaning of slope.
11. Explore the divisibility rules and explain why the rules work for divisibility by 2,3,4,5,6,8,10 with 7 and 11 optional.
12. Examine the concepts of greatest common divisor/least common multiple with manipulatives (e.g., rod lengths), Venn diagrams, prime factors, and Euclid’s method.
13. Solve and explain problems that require proportional reasoning using vocabulary and concepts elementary students would understand.
14. Review a K-8 curriculum in light of the grade level standards mandated by the Missouri Department of Elementary and Secondary Education.
15. Use Boolean logic to evaluate truth tables and inverse, converse, and contrapositive statements.
16. Calculate using clock and modular arithmetic.

Objectives

1. Problem solve using truth tables and other logic rules, patterns (arithmetic, algebraic and geometric) and sets along with Venn diagrams.
2. Identify and use properties of real numbers; perform operations using rules of exponents including radicals and their relationship to rational exponents.
3. Find least common multiples and greatest common divisors using factorization and find greatest common denominators using the Euclidean Algorithm.
4. Perform operations in modular and clock arithmetic and bases others than base ten.

#### Office Hours

8 a.m.-4:30 p.m. Monday-Friday