HIBBING COMMUNITY COLLEGE
COURSE OUTLINE
COURSE TITLE & NUMBER: Fundamental Mathematics: MATH 0921
CREDITS: 4 (4 Lec / 0 Lab)
PREREQUISITES: Placement Exam
CATALOG DESCRIPTION:
Fundamental Mathematics is a course designed to study addition, subtraction,
multiplication, and division of whole numbers, integers, decimals and fractions. It
also covers the concepts of ratio, percent, proportion, algebraic expressions,
linear equations, and applications. It may not be taken for credit by students who
have earned credit with a grade of “C” or better in courses for which
Fundamental Mathematics is a prerequisite.
OUTLINE OF MAJOR CONTENT AREAS:
I.
Whole numbers
A.
Standard notation
B.
Addition and subtraction
C.
Rounding and estimating; order
D.
Multiplication and division
E.
Solving equations
F.
Applications and problem solving
G.
Exponential notation and order of operations
II.
Integers and algebraic expressions
A.
Integers and the number line
B.
Addition, subtraction, multiplication, and division
C.
Introduction to algebra and expressions
D.
Like terms
E.
Solving equations
III.
Fraction notation
A.
Multiples and divisibility
B.
Factorizations
C.
Introduction to fractions and fraction notation
D.
Multiplying
E.
Simplifying
F.
Reciprocals and division
G.
Solving equations: the multiplication principle
H.
Least common multiples
I.
Addition, subtraction, and order
J.
Solving equations: using the addition and multiplication principles
together
MATH0921
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Hibbing Community College, a technical & community college, is
an equal opportunity educator & employer
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VII.
Mixed numerals
1.
addition and subtraction
2.
multiplication and division
Decimal notation
A.
Addition, subtraction, multiplication, and division
B.
Fraction notation and decimal notation
C.
Estimating
D.
Solving equations
Ratio and proportion
Percent notation
Polynomials
A.
Addition and subtraction
B.
Multiplying and factoring
C.
Integer exponents
D.
Scientific notation
COURSE GOALS/OBJECTIVES/OUTCOMES:
Students will:
1.
give the meaning of digits in standard notation.
2.
convert between standard notation and expanded notation.
3.
convert between standard notation and word names.
4.
add whole numbers.
5.
use addition in finding perimeter.
6.
subtract whole numbers.
7.
round to the nearest ten, hundred, or thousand.
8.
estimate sums and differences by rounding.
9.
write inequalities involving whole numbers.
10.
multiply whole numbers.
11.
estimate products by rounding.
12.
use multiplication in finding area.
13.
divide whole numbers.
14.
solve equations involving whole numbers.
15.
solve applied problems involving addition, subtraction, multiplication
and/or division of whole numbers.
16.
write exponential notation for products.
17.
evaluate exponential notation.
18.
simplify expressions using the rules for order of operations.
19.
remove parentheses within parentheses.
20.
write inequalities involving integers.
21.
find absolute values of integers.
22.
find the opposites of integers.
23.
add integers.
24.
subtract integers.
25.
multiply integers.
26.
find products of three or more integers and simplify powers of integers.
MATH0921
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Hibbing Community College, a technical & community college, is
an equal opportunity educator & employer
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divide integers.
use the rules for order of operations with integers.
evaluate algebraic expressions by substitution.
use the distributive law to find equivalent expressions.
combine like terms.
determine perimeter.
use the addition and/or division principles to solve equations.
find multiples of a number, and determine whether a number is divisible by
another number.
test to see if a number is divisible by 2, 3, 5, 6, 9, or 10.
find the factors of a number.
determine whether a whole number is prime, composite, or neither.
find the prime factorization of a composite number.
identify the numerator and the denominator of a fraction and write fraction
notation for part of an object or part of a set of objects.
simplify fraction notation.
multiply an integer and a fraction.
multiply using fraction notation.
multiply by 1 to find an equivalent fractional expression using a different
denominator.
simplify fraction notation.
test to determine whether two fractions are equivalent.
multiply and simplify using fraction notation.
find the reciprocal of a number.
divide and simplify using fraction notation.
use the multiplication principle to solve equations.
find the LCM of two or more numbers.
add using fraction notation when denominators are the same.
add using fraction notation when denominators are different.
write inequalities involving fractions.
subtract using fraction notation.
solve equations involving fractions using the addition and/or multiplication
principles.
solve equations by using the multiplication principle to clear fractions.
convert from mixed numerals to fraction notation and vice versa.
divide, writing a mixed numeral for the quotient.
add and subtract using mixed numerals.
multiply and divide using mixed numerals.
evaluate expressions using mixed numerals.
given decimal notation, write a word name, and write a word name for an
amount of money.
convert between fraction notation and decimal notation.
given a pair of numbers in decimal notation, tell which is larger.
round decimal notation to a specified place value.
add and subtract using decimal notation.
combine like terms with decimal coefficients.
MATH0921
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Hibbing Community College, a technical & community college, is
an equal opportunity educator & employer
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multiply using decimal notation.
convert from dollars to cents and cents to dollars, and from notation like
45.7million to standard notation.
evaluate algebraic expressions using decimal notation.
divide using decimal notation.
simplify expressions involving decimals using the rules for order of
operations.
use division to convert fraction notation to decimal notation.
round numbers named by repeating decimals.
simplify expressions that contain both fraction and decimal notation.
estimate sums, difference, products, and quotients involving decimal
notation.
solve equations containing decimals.
find fraction notation for ratios.
simplify ratios.
give the ratio of two different measures as a rate.
find unit prices and use them to compare purchases.
determine whether two pairs of numbers are proportional.
solve proportions.
find lengths of sides of similar triangles using proportions.
convert between percent notation and decimal notation.
convert between fraction notation and percent notation.
solve basic percent problems.
add polynomials.
find the opposite of a polynomial.
subtract polynomials.
evaluate a polynomial.
multiply polynomials.
use the distributive law to factor.
evaluate algebraic expressions containing whole-number exponents.
express exponential expressions involving negative exponents as
equivalent expressions containing positive exponents.
convert between scientific notation and decimal notation.
multiply and divide using scientific notation.
use technology to successfully complete designated assignments, labs,
and/or projects.
MNTC GOALS AND COMPETENCIES MET:
N/A
HCC COMPETENCIES MET:
Communicating Clearly & Effectively
Thinking Creatively & Critically
MATH0921
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Hibbing Community College, a technical & community college, is
an equal opportunity educator & employer
STUDENT CONTRIBUTIONS:
The student will attend class regularly, participate in class discussion, complete
daily assignments, in class exercises, exams, and a comprehensive final
examination. The student will spend a minimum of two hours completing
assignments for every hour in class. These must be accomplished in such a way
that they meet minimum standards set by the instructor.
STUDENT ASSESSMENT SHALL TAKE PLACE USING INSTRUMENTS
SELECTED/DEVELOPED BY THE COURSE INSTRUCTOR.
SPECIAL INFORMATION:
The student may be required to provide a calculator for this course. If a specific
calculator model is required, this model will be specified by the instructor on the
course syllabus. Examples of calculators which may be required include but are
not limited to the following: the TI89 and the TI Voyage 200.
AASC APPROVAL: October 20, 2010
REVIEW DATE:
October 2015
MATH0921: so
102010
MATH0921
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Hibbing Community College, a technical & community college, is
an equal opportunity educator & employer