Course Objectives:

1.         Solve problems involving sets, functions, and logic
2.         Make connections between numeration systems, integers and number theory
3.         Perform numerical computations with rational numbers, exponents and decimals
4.         Applying mathematics in word problems

Topical Outline:

1.         Use problem-solving steps and strategies, like finding a pattern and using inductive reasoning to form conjectures.
2.         Apply set definitions, set notations, recognize relationships, and perform operations on sets.
3.         Define a function and represent it by a table, an equation, a function machine, a set of ordered pairs, or a graph.
4.         Use logic as a tool in mathematical thinking and problem solving.
5.         Solve problems on various numeration systems and bases.
6.         Perform operations on whole numbers.
7.         Perform operations on integers.
8.         Use divisibility tests.
9.         Determine prime and composite numbers and their number of divisors.
10.       Determine the greatest common divisor and least common multiple for more natural numbers.
11.       Solve arithmetic problems using clocks and modular arithmetic
12.       Represent the set of rational numbers as fractions, perform operations on rational numbers, and know the properties of rational numbers.    
13.       Use the properties of exponents in algebraic operations.
14.       Perform operations on decimals.
15.       Know the properties and perform operations on real numbers.
16.       Use algebraic skills of writing and solving equations and inequalities to solve word problems.
17.       Formulate the word problem as a mathematical problem, solve the mathematical problem, and interpret the solution in terms of the original word problem.
18.       Use properties of decimals to solve problems.
19.       Use the properties of ratios that are proportional to solve problems.
20.       Define and determine percentsetrically.