COURSE
COMPETENCIES &
OBJECTIVES:
Upon satisfactory completion of this course, the
student
will be able to:
I. Use appropriate strategies for problem-solving
1. Solve problems by discovering patterns and
using inductive reasoning.
2. Use Polya’s four- step process for solving
problems.
II. Perform operations on sets
1. Use correct terminology in describing sets.
2. Perform operations on sets.
3. Draw and analyze Venn diagrams.
4. Distinguish between relations and functions
and perform operations.
III. Solve applications of logic problems
1. Determine the validity of arguments.
2. Solve a logic problem through reasoning and
elimination .
IV. Use models and algorithms to add , subtract ,
multiply, and divide whole numbers
1. Write numbers in other numeration systems.
2. Use models to demonstrate addition,
subtraction, multiplication, and division of
whole numbers.
3. Add, subtract, multiply, and divide whole
numbers using various algorithms.
4. Write numbers in different bases and convert
between these bases and base ten.
V. Use models and algorithms to add, subtract,
multiply and divide integers.
1. State the properties of integers and recognize
their use in solving problems.
2. Use models and rules to add , subtract,
multiply, and divide integers.
3. Perform calculations on integers using the
order of operations .
VI. Explore topics in number theory
1. Use the common tests for divisibility.
2. Write composite numbers as a product of their
prime factors.
3. Find the greatest common divisor and least
common multiple of numbers.
VII. Perform operations on real numbers , with
emphasis on rational numbers .
1. Build a set of equivalent fractions and write
fractions in simplest form .
2. Add, subtract, multiply, and divide rational
numbers.
3. Use the order and denseness properties to
build a set of rational numbers.
4. Solve problems involving exponents .
