Course Outline for DMA 010
OPERATIONS WITH INTEGERS
I.
CATALOG DESCRIPTION:
DMA 010 – Operations With Integers - 1 credit (5 contact hours per week for four weeks)
This course provides a conceptual study of integers and integer operations. Topics include integers,
absolute value, exponents, square roots, perimeter and area of basic geometric figures, Pythagorean
Theorem, and use of the correct order of operations. Upon completion, students should be able to
demonstrate an understanding of pertinent concepts and principles and apply this knowledge in the
evaluation of expressions.
II.
PREREQUISITE: None
III.
COREQUISITE: None
IV.
EXPECTED STUDENT LEARNING OUTCOMES:
Upon completion of the course, students should be able to:
A.
B.
C.
D.
E.
F.
G.
H.
I.
J.
K.
L.
M.
N.
O.
V.
Demonstrate an understanding of the concept of integers within contextual application problems.
Correctly represent integers on a number line.
Demonstrate the correct use of additive inverses.
Evaluate the absolute value of a number.
Apply integer operations in solving contextual application problems.
Correctly apply the associative and commutative properties.
Demonstrate understanding of exponents by converting between exponential and expanded form.
Evaluate exponents.
Calculate the square root of numbers containing perfect squares.
Evaluate integer expressions by using the correct order of operations.
Distinguish between appropriate use of area and perimeter formulas to solve geometric application
problems.
Use the Pythagorean Theorem to solve geometric problems.
Represent the events of a geometric application problem included in this module pictorially and
evaluate the correct solution using the appropriate formula.
Demonstrate an understanding of what a variable represents.
Evaluate variable expressions and formulas.
METHODS OF INSTRUCTION:
A.
Video lectures in basic concepts and skills
B.
Read text
C.
Class and group discussion of topics
D.
Skill-building computer exercises
VI.
CONTENT:
A.
Understanding Integers and Absolute Value: state the integer that corresponds to a real-world
situation, graph integers on the number line, determine which of two integers is greater and
indicate which using < or >, find the absolute value of an integer.
B.
Basic Integer Operations and Applications: add whole numbers, use addition in finding perimeter,
subtract whole numbers, multiply whole numbers, use multiplication in finding area, divide whole
numbers, solve applied problems involving addition, subtraction, multiplication, or division of whole
numbers.
C.
Advanced Integer Operations and Applications: add integers without using the number line, find
the opposite or additive inverse of an integer, subtract integers and simplify combinations of
additions and subtractions, solve applied problems involving addition and subtraction of integers,
multiply integers, divide integers, solve applied problems involving multiplication and division of
integers.
D.
Properties of Real Numbers: find equivalent fraction expressions and simplify fraction expressions,
use the commutative and associative laws to find equivalent expressions, use the distributive law to
multiply expressions like 8 and x – y.
E.
Exponential Notation: write exponential notation for products such as 4x4x4, evaluate exponential
notation.
F.
G.
H.
Square Roots: simplify square roots of square such as 25 , approximate square roots.
Order of Operations: simplify expressions using the rules for order of operations, remove
parentheses within parentheses.
Area and Perimeter: find the perimeter of a polygon; find the area of a parallelogram, a triangle,
and a trapezoid.
VII.
TYPICAL ASSIGNMENTS:
A.
In class participation
B.
Online or textbook homework
C.
Mid-module quizzes
D.
Online Post-module tests
VIII.
EVALUATION:
A.
Methods of Evaluation
1.
Students are evaluated online using module homework, mid-module quiz, module posttest.
B.
Frequency of Evaluation
1.
Each module will have several homework assignments, a mid-module quiz and a module
post-test.
IX.
TYPICAL TEXT:
Bittinger and Beecher, Mathematical Skills for Mastery. 1st Edition. Pearson, Addison Wesley Publishing.
X.
OTHER SUPPLIES REQUIRED OF STUDENTS:
A scientific calculator and a MyLabsPlus student access code are additional requirements for students. It
is highly recommended that students in all sections of the course have internet access.
Creation date: June 28, 2012
Modified by: Caroline Greenough; April 18, 2016