Foundations for Quantitative Skills & Reasoning – MATH 0987
Course Outline
MyMathLab Course ID: clement31362
[Using and Understanding Mathematics: A Quantitative Reasoning Approach. 5th edition. Bennett & Briggs]
(Beginning & Intermediate Algebra, 5th Edition, Martin-Gay)
SESSION
1
2
3
4
5
6
7
8
9
TOPIC
Symbols and Number Sets
 Identify the sets: natural numbers, whole numbers,
integers, rational numbers, irrational numbers, and real
numbers
 Find the absolute value of a real number
Operations with Rational Numbers
 Understanding various fraction models
 Add rational real numbers
 Find the opposite of a real number
 Subtract rational real numbers
Operations with Rational Numbers
 Multiply rational real numbers
 Divide Rational Real Numbers
 Find the reciprocal of a rational real number
 Evaluate algebraic expressions, given replacement
values for variable
Sets & Set Operations
 Union
 Intersection
 Complement
 Cardinality, element symbol
 Subsets
Exponents, Operations Order & Variable Expressions
 Define and use exponents and the order of operations
 Evaluate algebraic expressions, given replacement
values for variables
Unit 1 Review
Unit 1 Test
Simplifying Algebraic Expressions
 Properties of real numbers
 Identify terms, like terms, and unlike terms
 Combine like terms
 Distributive Property
Solving Linear Equations 101
 Define linear equations in one variable
 Use the Addition Property of Equality and the
Multiplication Property of Equality to solve linear
RESOURCES
[1C - p. 36]
(1.2)
[2A - p. 84]
(1.2-1.3)
[3A - p. 129, 134]
(1.3)
[1C]
[4B - p. 210]
(1.4)
[4B - p. 221]
(1.8, 2.1)
[4B - p. 221]
(2.2)
10
11
12
13
14
15
16
17
18
19
20
21
equations.
Solving Linear Equations 102
 Apply a general strategy for solving a linear equation
 Solve equations containing fractions.
 Solve equations containing decimals
 Recognize identities and equations with no solution
Applications of Linear Equations
Unit 2 Review
Unit 2 Test
Graphing Points & Lines
 Define the Rectangular Coordinate System and plot
ordered pairs of numbers
 Identify a linear equation in two variables
 Determine whether an ordered pair is a solution to a
linear equation in two variables
 Find the missing coordinate of an ordered pair solution,
given one coordinate of the pair
 Graph a linear equation by finding and plotting ordered
pair solutions
Linear Graphs: Intercepts
 Identify intercepts of a graph
 Graph a linear equation by finding and plotting
intercepts
 Identify and graph vertical and horizontal lines
Linear Graphs: Slope
 Find the slope of a line given its graph
 Find the slope of a line using the slope formula given
two points on the line
 Find the slope of a line given its equation
 Use the slope-intercept form to graph a linear equation
 Compare the slopes of parallel and perpendicular lines
Equations of Lines
 Use the slope-intercept form or point-slope form to
write an equation of a non-vertical line
 Find equations of vertical and horizontal lines
Unit 3 Review
Unit 3 Test
Exponent Rules
 Evaluate exponential expressions
 Use the Rules of Exponents
 Define a number raised to the 0 power
Negative Exponents & Scientific Notation
 Use rules involving negative exponents
 Convert between standard notation and scientific
[4B - p. 221]
(2.3)
(2.4-2.5)
[9A - p. 515,
9B – p. 527]
(3.1, 3.2)
[9B]
(3.3)
[9B]
(3.4)
[9B]
(3.5)
[3B - p. 145,
4B – p. 210]
(5.1)
[3B - p. 145,
4B – p. 210]
(5.5)
22
23
24
25
26
27
28
29
30
31
32
33
notation
Radicals
 Evaluating radicals
 Simplifying radicals
Radicals
Unit 4 Review
Unit 4 Test
Quadratic Functions
 Graph quadratic functions
 Finding the vertex, intercepts, axis of symmetry
 Use function notation
 Finding the domain and range
Quadratic Functions
 Graph quadratic functions
 Finding the vertex, intercepts, axis of symmetry
 Use function notation
 Finding the domain and range
Exponential & Logarithmic Functions
 Graph exponential functions
Exponential & Logarithmic Functions
 Graph logarithmic functions
 Explore some of the basic rules involving logarithms
Exponential & Logarithmic Functions
 Explore exponential and logarithmic applications
Probability & Statistics
 Finding probabilities involving simple experiments
 Use the multiplication principle
 Use formulas involving factorials
Probability & Statistics
 Calculate the mean, mode, median, and range given a
set of data
Final Exam Review
FINAL EXAM
[4B - p. 210]
(10.1)
[4B - p. 210]
(10.3)
(3.6, 8.2, 11.5-11.6)
(3.6, 8.2, 11.5-11.6)
[8B - p. 486,
9C – p. 537]
[8B - p. 486,
9C – p. 537]
[8B - p. 486,
9C – p. 537]
[7A - p. 420,
7E – p. 459,
Sections 6A and 7A]
[7A - p. 420,
7E – p. 459,
Sections 6A and 7A]