C. Unit Three: (Chapter Three) Graphing
1. Unit Objectives: Upon successful completion of this unit the student will
be able to do the fol lowing
a. Define the rectangular coordinate system and plot
ordered pairs of
numbers
b. Graph paired data to create a scatter diagram
c. Determine whether an ordered pair is a solution of an equation in
two variables
d. Find the missing coordinate of an ordered pair solution, given one
coordinate of the pair
e. Identify linear equations
f. Graph a linear equation by finding and plotting ordered pair
solutions
g. Identify intercepts of a graph
h. Graph a linear equation by finding and plotting intercepts
i. Identify and graph vertical and horizontal lines
j. Find the slope of a line given two points of the line
k. Find the slopes of horizontal and vertical lines
l. Compare the slopes of parallel and perpendicular lines
m. Solve applications of slope
n. Use the slope-intercept form to find the slope and the y-intercept of
a line
o. Use the slope-intercept form to determine whether two lines are
parallel, perpendicular or neither
p. Use the slope-intercept from to write an equation of a line
q. Use the slope-intercept form to graph a linear equation
r. Use the point-slope form to find an equation of a line given its
slope and a point of the line
s. Use the point-slope form to find an equation of a line given two
points of the line
t. Find equations of vertical and horizontal lines
u. Use the point-slope form to solve problems
v. Identify relations, domains, and ranges
w. Identify functions
x. Use the vertical line test
y. Use function notation
2. Learning Activities:
a. Classroom lecture/discussion (F5, F6, F7, F8)
b. Reading/homework assignments (F1, F2, F7, F8, F9, F10, F11,
F12)
c. Computer Laboratory/Computer Tutor (F2, F7, F8, F9, F10, F11,
F12)
3. Unit Outline:
a. Section 3.1 The Rectangular Coordinate System
b. Section 3.2 Graphing Linear Equations
c. Section 3.3 Intercepts
d. Section 3.4 Slope and Rate of Change
e. Section 3.5 The Slope-Intercept Form
f. Section 3.6 The Point-Slope Form
g. Section 3.7 Functions
D. Unit Four: (Chapter Four) Solving Systems of Linear
Equations and
Inequalities
1. Unit Objectives: Upon successful completion of this unit the student will
be able to do the following:
a. Determine if an ordered pair is a solution of a system of equations
in two variables
b. Solve a system of linear equations by graphing
c. Without graphing, determine the number of solutions of a system
d. Use the substitution method to solve a system of linear equations
e. Use the addition method to solve a system of linear equations
f. Use a system of equations to solve problems
g. Graph a linear inequality in two variables
h. Solve a system of linear inequalities
2. Learning Activities:
a. Classroom lecture/discussion (F5, F6, F7, F8)
b. Reading/homework assignments (F1, F2, F7, F8, F9, F10, F11,
F12)
c. Computer Laboratory/Computer Tutor (F2, F7, F8, F9, F10, F11,
F12)
3. Unit Outline:
a. Section 4.1 Solving Systems of Linear Equations by Graphing
b. Section 4.2 Solving Systems of Linear Equations by Substitution
c. Section 4.3 Solving Systems of Linear Equations by Addition
d. Section 4.4 Systems of Linear Equations and Problem Solving
e. Section 4.5 Graphing Linear Inequalities
f. Section 4.6 Systems of Linear Inequalities
E. Unit Five: (Chapter Five) Exponents and Polynomials
1. Unit Objectives: Upon successful completion of this unit the student will
be able to do the following:
a. Evaluate exponential expressions
b. Use the product rule for exponents
c. Use the power rule for exponents
d. Use the power rules for products and quotients
e. Use the quotient rule for exponents, and define a number raised to
the 0 power
f. Define monomial , binomial, trinomial, polynomial, and degree
g. Find the value of a polynomial given replacement values for the
variables
h. Simplify a polynomial by combining like terms
i. Add and subtract polynomials
j. Use the distributive property to multiply polynomials
k. Multiply polynomials vertically
l. Multiply two binomials using the FOIL method
m. Square a binomial
n. Multiply the sum and difference of two terms
o. Evaluate numbers raised to negative integer powers
p. Use all the rules and definitions for exponents to simplify
exponential expressions
q. Write numbers in scientific notation
r. Convert numbers from scientific notation to standard form
s. Divide a polynomial by a monomial
t. Use long division to divide a polynomial by another polynomial
2. Learning Activities:
a. Classroom lecture/discussion (F5, F6, F7, F8)
b. Reading/homework assignments (F1, F2, F7, F8, F9, F10, F11,
F12)
c. Computer Laboratory/Computer Tutor (F2, F7, F8, F9, F10, F11,
F12)
3. Unit Outline:
a. Section 5.1 Exponents
b. Section 5.2 Adding and Subtracting Polynomials
c. Section 5.3 Multiplying Polynomials
d. Section 5.4 Special Products
e. Section 5.5 Negative Exponents and Scientific Notation
f. Section 5.6 Division of Polynomials
F. Unit Six: (Chapter Six) Factoring Polynomials
1. Unit Objectives: Upon successful completion of this unit the student will
be able to do the following:
a. Find the greatest common factor of a list of integers
b. Find the greatest common factor of a list of terms
c. Factor out the greatest common factor from a polynomial
d. Factor trinomials of the form x2 + bx + c
e. Factor out the greatest common factor and then factor a trinomial
of the form x2 + bx + c
f. Factor trinomials of the form ax2 + bx + c
g. Factor out the greatest common factor and then factor a trinomial
of the form ax2 + bx + c
h. Factor perfect square trinomials
i. Factor trinomials of the form ax2 + bx + c by grouping
j. Factor the difference of two squares
k. Factor the sum or difference of two cubes
l. Define quadratic equation
m. Solve quadratic equations by factoring
n. Solve equations with degree greater than 2 by factoring
o. Solve problems that can be modeled by quadratic equations
2. Learning Activities:
a. Classroom lecture/discussion (F5, F6, F7, F8)
b. Reading/homework assignments (F1, F2, F7, F8, F9, F10, F11,
F12)
c. Computer Laboratory/Computer Tutor (F2, F7, F8, F9, F10, F11,
F12)
3. Unit Outline:
a. Section 6.1 The Greatest Common Factor and Factoring by
Grouping
b. Section 6.2 Factoring Trinomials of the Form x2 + bx + c
c. Section 6.3 Factoring Trinomials of the Form ax2 + bx + c
d. Section 6.4 Factoring Binomials
e. Section 6.5 Solving Quadratic Equations by Factoring
f. Section 6.6 Quadratic Equations and Problem Solving
