Student Outcomes - Math 310

Elementary Mathematics II

1. Students will demonstrate an understanding of and ability to work with the rational numbers. This includes the following topics

a) Definition of the rational numbers using equivalence classes of integers

b) Definition of the operations for the rational numbers using equivalence classes

c) Properties of the operations for rational numbers (closure, commutative, associative, identities, inverses, distributive)

d) Ordering of the rational numbers

e) Rational numbers as fractions

f) Algorithms for the rational numbers as fractions

g) Rational numbers as decimals

h) Algorithms for the rational numbers as decimals

i) Percent

j) Ratio and proportion

2. Students will demonstrate an understanding of and ability to work with the real numbers. This includes the following topics

Rational numbers vs. irrational numbers

3. Students will demonstrate an understanding of and ability to work with statistics. This includes the following topics

a) Organizing and picturing data, including circle graphs and frequency distributions

b) Measure of central tendency and spread; box-and whisker plots

c) Abuses of statistics

4. Students will demonstrate an understanding of and ability to work with probability. This includes the following topics

a) Experimental probability: computation and simulation

b) Theoretical probability: sample spaces, events, computation

c) Methods of counting

d) Permutations and combinations in probability

e) Conditional probability

f) Odds and expected value

5. Students will demonstrate an understanding of and ability to work with measurement. This includes the following topics

a) Measurement with nonstandard and standard units

b) Length and area

c) Pythagorean Theorem

d) Surface area

e) Volume