In relationship
with the college mission and objectives to provide Native American Tribes
of Michigan and their surrounding community with educated and trained human
resources and to prepare and encourage students to pursue further education,
at the end of this course the student will be able to perform all of the
following objectives:
Chapter 1 -
Review of Real Numbers
| 1.1A |
To use inequalities
and absolute value symbols with real numbers |
| 1.1B |
To write sets using
the roster method and set builder notation |
| 1.1C |
To perform operations
on sets and write sets in interval notation |
| 1.2A |
To add, subtract, multiply,
and divide integers |
| 1.2B |
To add, subtract, multiply,
and divide rational numbers |
| 1.2C |
To evaluate exponential
expressions |
| 1.2D |
To use the Order of
Operations Agreement |
| 1.3A |
To use and identify
the properties of the real numbers |
| 1.3B |
To evaluate a variable
expression |
| 1.3C |
To simplify a variable
expression |
| 1.4A |
To translate a verbal
expression into a variable expression |
| 1.4B |
To solve application
problems |
Chapter 2 -
First Degree Equations and Inequalities
2.1A |
To
solve an equation using the Addition or the Multiplication Property
of Equations |
2.1B |
To
solve an equation using both the Addition and the Multiplication Property
of Equations |
2.1C |
To
solve an equation containing parentheses |
2.1D |
To
solve a literal equation for one of the variables |
2.2A |
To
solve integer problems |
2.2B |
To
solve coin and stamp problems |
2.3A |
To
solve value mixture problems |
2.3B |
To
solve percent mixture problems |
2.3C |
To
solve uniform motion problems |
2.4A |
To
solve an inequality in one variable |
2.4B |
To
solve a compound inequality |
2.4C |
To
solve application problems |
2.5A |
To
solve an absolute value equation |
2.5B |
To
solve an absolute value inequality |
2.5C |
To
solve application problems |
Chapter 3 -
Linear Functions and Inequalities in Two Variables
| 3.1A |
To graph points in
a rectangular coordinate system |
| 3.1B |
To find the length
and mid-point of a line segment |
| 3.1C |
To graph a scatter
diagram |
| 3.2A |
To evaluate a function |
| 3.3A |
To graph a linear function |
| 3.3B |
To graph an equation
in the form Ax + By =C |
| 3.3C |
To find the x- and
y- intercepts of a straight line |
| 3.3D |
To solve application
problems |
| 3.4A |
To find the slope of
a line given two points |
| 3.4B |
To graph a line given
a point and the slope |
| 3.5A |
To find the equation
of a line given a point and the slope |
| 3.5B |
To find the equation
of a line given two points |
| 3.5C |
To solve application
problems |
| 3.6A |
To find parallel and
perpendicular lines |
| 3.7A |
To graph the solution
set of inequality in two variables |
Chapter 4 -
Systems of Linear Equations and Inequalities
| 4.1A |
To solve
a system of Linear Equations by graphing |
| 4.1B |
To solve a system
of linear equations by the substitution method |
| 4.1C |
To solve investment
problems |
| 4.2A |
To solve a system
of two linear equations in two variables by the addition method |
| 4.2B |
To solve a system
of three linear equations in three variables by the addition method |
| 4.3A |
To evaluate a determinant |
| 4.3B |
To solve a system
of equations by using Cramer's Rule |
| 4.4A |
To solve rate-of-wind
or rate-of-current problems |
| 4.4B |
To solve application
problems |
| 4.5A |
To graph the solution
set of a system of linear equations |
Chapter 5 -
Polynomials
| 5.1A |
To multiply
monomials |
| 5.1B |
To divide monomials
and simplify expressions with negative exponents |
| 5.1C |
To write a
number using scientific notation |
| 5.1D |
To solve application
problems |
| 5.2A |
To evaluate
polynomial functions |
| 5.2B |
To add or subtract
polynomials |
| 5.3A |
To multiply
a polynomial by a monomial |
| 5.3B |
To multiply
two polynomials |
| 5.3C |
To multiply
polynomials that have special products |
| 5.3D |
To solve application
problems |
| 5.4A |
To divide a
polynomial by a monomial |
| 5.4B |
To divide polynomials |
| 5.4C |
To divide polynomials
by using synthetic division |
| 5.4D |
To evaluate
a polynomial function using synthetic division |
| 5.5A |
To factor a
monomial from a polynomial |
| 5.5B |
To factor by
grouping |
| 5.5C |
To factor a
trinomial of the form x2 + bx + c |
| 5.5D |
To factor ax2
+ bx + c |
| 5.6A |
To factor the
difference of two perfect squares or a perfect square trinomial |
| 5.6B |
To factor the
sum or difference of two perfect cubes |
| 5.6C |
To factor a
trinomial that is quadratic in form |
| 5.6D |
To factor completely |
| 5.7A |
To solve an
equation by factoring |
| 5.7B |
To solve application
problems |
Chapter 6 -
Rational Expressions
| 6.1A |
To
find the domain of a rational function |
| 6.1B |
To simplify
rational expressions |
| 6.1C |
To divide rational
expressions |
| 6.1D |
To multiply
rational expressions |
| 6.2A |
To rewrite
rational expressions in terms of a common denominator |
| 6.2B |
To add or subtract
rational expressions |
| 6.3A |
To simplify
complex fractions |
| 6.4A |
To solve a
proportion |
| 6.4B |
To solve application
problems |
| 6.5A |
To solve a
fractional equation |
| 6.5B |
To solve work
problems |
| 6.5C |
To solve uniform
motion problems |
| 6.6A |
To solve variation
problems |
Chapter 7 -
Exponents and Radicals
| 7.1A |
To simplify rational
expressions with rational exponents |
| 7.1B |
To write exponential expressions
as radical expressions and to write radical expressions as exponential
expressions |
| 7.1C |
To simplify radical expressions
that are roots of perfect powers |
| 7.2A |
To simplify radical expressions |
| 7.2B |
To add or subtract radical
expressions |
| 7.2C |
To multiply radical expressions |
| 7.2D |
To divide radical expressions |
| 7.3A |
To solve a radical equation |
| 7.3B |
To solve application problems |
| 7.4A |
To simplify a complex number |
| 7.4B |
To add or subtract complex
numbers |
| 7.4C |
To multiply complex numbers |
| 7.4B |
To divide complex numbers |
Chapter 8 -
Quadratic Equations
| 8.1A |
To solve a quadratic
equation by factoring |
| 8.1B |
To write a quadratic equation
given its solutions |
| 8.1C |
To solve a quadratic equation
by taking square roots |
| 8.2A |
To solve a quadratic equation
by completing the square |
| 8.3A |
To solve a quadratic equation
by using the quadratic formula |
| 8.4A |
To solve an equation that
is quadratic in form |
| 8.4B |
To solve a radical equation
that is reducible to a quadratic equation |
| 8.4C |
To solve a fractional equation
that is reducible to a quadratic equation |
| 8.5A |
To solve a non-linear inequality |
| 8.6A |
To solve application problems |
Chapter 9 -
Functions and Relations
| 9.1A |
To graph a quadratic
function |
| 9.1B |
To find the x-intercepts of
a parabola |
| 9.1C |
To find the minimum or maximum
of a quadratic function |
| 9.1D |
To solve application problems |
| 9.2A |
To graph functions |
| 9.3A |
To perform operations on functions |
| 9.3B |
To find the composition of
two functions |
| 9.4A |
To determine whether a function
is one-to-one |
| 9.4B |
To find the inverse of a function |
Chapter 10 -
Exponential and Logarithmic Functions
| 10.1A |
To evaluate an
exponential function |
| 10.1B |
To graph an exponential function |
| 10.2A |
To find the
logarithm of a number |
| 10.2B |
To use Properties of Logarithms
to simplify expressions containing logarithms |
| 10.2C |
To use Change-of-Base Formulas |
| 10.3A |
To graph a logarithmic function |
| 10.4A |
To solve an exponential equation |
| 10.4B |
To solve a logarithmic equation |
| 10.5A |
To solve application problems |
Chapter 11 -
Conic Sections
| 11.1A |
To graph a parabola |
| 11.2A |
To find the equation of a
circle and then graph the circle |
| 11.2B |
To write the equation of a
circle in standard form |
| 11.3A |
To graph an ellipse with center
at the origin |
| 11.3B |
To graph a hyperbola with
center at the origin |
| 11.4A |
To solve a nonlinear system
of equations |
| 11.5A |
To graph the solution set
of a quadratic inequality in two variables |
| 11.5B |
To graph the solution set
of a nonlinear system of inequalities |
Chapter 12 -
Sequences and Series
| 12.1A |
To write the terms
of a sequence |
| 12.1B |
To find the sum of a series |
| 12.2A |
To find the nth
term of an arithmetic sequence |
| 12.2B |
To find the sum of an arithmetic
series |
| 12.2C |
To solve application problems |
| 12.3A |
To find the nth
term of a geometric sequence |
| 12.3B |
To find the sum of a finite
geometric series |
| 12.3C |
To find the sum of an infinite
geometric series |
| 12.3D |
To solve application problems |
| 12.4A |
To expand (a + b)n |
Each lesson will
cover the material in one full chapter. Once you have completed the
lesson and have a thorough understanding of these objectives, you will write
a quiz which will help you determine your level of understanding. These
will be computer marked with the scores being sent to the instructor. He
will review the marking and then forward the grade to you. Once you
complete the lesson test, you can continue on to the next lesson. These
quizzes will make up 60 % of your final mark. A mid-term test, based on
chapters 1 - 6, will make up 20% of the final grade, and a final exam, based
of chapters 6 - 12, will make up the final 20%.