SYLLABUS
Algebra 2
INSTRUCTOR: ____Kintz__________________ SCHOOL YEAR: ____15/16___ PERIOD: __2,3,5,6,8___ COURSE NUMBER: 318
COURSE DESCRIPTION
This is the third course in the college preparatory mathematics sequence. Units of study include a review of Algebra 1 topics, matrices, quadratic
functions, polynomials and polynomial functions, rational functions, exponential and logarithmic functions, radical equations and functions, conic
sections, and probability and statistics. Technological tools, such as the TI graphing calculator, will be used for both discovery and problem solving.
Classroom sets of graphing calculators will be provided. Students will be expected to bring a TI-30X IIS scientific calculator to class on a daily basis.
ENDURING UNDERSTANDINGS - After successfully completing this course, the student will understand that:
1. Functions are mathematical models of real-world applications.
2. The graphs of different types of functions have specific shapes.
3. The roots of functions have specific meaning in the real world.
CREDIT:
1 credit
LEVEL:
11 – Regular
PREREQUISITES
This course is open to juniors and seniors, who have passed both semesters of Algebra 1 and have passed both semesters of Geometry.
AREAS OF STUDY
First Semester
Review Linear Functions and Systems of Equations
Quadratics
Polynomials
Powers, Roots, and Radicals
Second Semester
Trigonometric Ratios and Functions
Exponential and Logarithmic Functions
Probability and Statistics
Semester 1
UNIT 1: Review Linear Functions and Systems of Equations
(4 Weeks)
UNIT 2: Quadratics
(4Weeks)
Enduring Understanding:

???
Essential Questions:

???
Knowledge and Skills
Enduring Understanding:

???
Essential Questions

???
1. Students will be able to solve multi-step equations
Knowledge and Skills
2. Students will be able to solve multi-step inequalities
14. Students will know that x-intercepts, zeroes, and solutions are synonymous
terms
3. Students will be able to solve word problems using equations and
inequalities
15. Students will be able to solve quadratic equations algebraically
4. Students will be able to solve absolute value equations
5. Students will be able to solve literal equations for a specified variable
6. Students will be able to graph linear equations
7. Students will be able to find the slope/rate of change of a linear function
8. Students will be able to write equations of lines
9. Students will be able to graph absolute value functions
10. Students will be able to solve systems of equations graphically using a
calculator
a. By factoring
b. Using square roots
c. By completing the square
16. Students will be able to perform operations (addition, subtraction,
multiplication, and division) with complex numbers
17. Students will be able to solve quadratic equations with complex solutions
18. Students will be able to solve rational equations that become quadratic
with cross-multiplication and/or simplification
11. Students will be able to solve systems of equations algebraically
19. Students will be able to solve quadratic equations graphically using a
calculator
12. Students will be able to use matrices on the calculator to solve systems of
equations (two and three variable systems)
20. Students will be able to convert quadratic equations from/to standard
form to/from vertex form
13. Students will be able to solve word problems using systems of equations
21. Students will be able to graph parabolas and describe the transformation
from the parent function
OPTIONAL: Students will be able to solve word problems using linear
programming
22. Students will be able to find the focus and directrix of a parabola given its
quadratic equation and write the quadratic equation of a parabola given its
focus and directrix.
UNIT 3: Polynomials
(4 Weeks)
UNIT 4: Powers, Roots, and Radicals
(4Weeks)
Enduring Understanding:
Enduring Understanding:

???
Essential Questions:

???

???
Essential Questions:

???
Knowledge and Skills
Knowledge and Skills
23. Students will be able to factor polynomial expressions, including sums and
differences of cubes
29. Students will be able to simplify numeric expressions with nth roots
24. Students will be able to divide polynomials using
30. Students will be able to use properties of exponents and radicals
a. Long division
31. Students will be able to simplify algebraic expressions with rational
exponents
b. Synthetic division
32. Students will be able to simplify algebraic expressions with radicals
25. Students will be able to solve polynomial equations by factoring
26. Students will be able to find the solutions of a polynomial equation given a
zero or a factor
27. Students will be able to solve polynomial equations graphically using a
calculator
28. Students will be able to analyze graphs of polynomial functions and
describe
a. The relative minimum and relative maximum
b. Periods that are increasing or decreasing
c. The average rate of change in a specified interval
d. End behavior
33. Students will be able to graph square root and cube root functions and
describe the transformation from the parent function
34. Students will be able to solve equations with rational exponents
35. Students will be able to solve equations with radicals
Semester 2
UNIT 5: Trigonometric Ratios and Functions
(6 Weeks)
Enduring Understandings:
 ???
Essential Questions:
 ???
Knowledge and Skills:
1. Students will be able to convert from/to degrees to/from radians
2. Students will be able to find the value of the six trigonometric
functions (sine, cosine, tangent, cosine, cosecant, cotangent) given
an angle measure on the unit circle
3. Students will be able to find the value of the remaining
trigonometric functions given the quadrant of the angle and the
ratio of one trigonometric function
4. Students will be able to graph sine and cosine functions and
describe
a. The amplitude
b. The frequency
c. The midline
5. Students will be able to model real-world situations using sine and
cosine functions
6. Students will use the Law of Sines and the Law of Cosines to find
missing measurements of a triangle.
UNIT 6: Exponential and Logarithmic Functions
(6 Weeks)
Enduring Understandings:
 ???
Essential Questions:
 ???
Knowledge and Skills
7. Students will be able to determine if a set of data represents
exponential growth, exponential decay, or neither
8. Students will be able to solve word problems using exponential
growth and decay functions
9. Students will know that the number e is a constant used for
modeling exponential growth and decay
10. Students will be able to convert from/to exponential form to/from
logarithmic form
11. Students will be able to use properties of logarithms to condense
logarithmic expressions
12. Students will be able to solve exponential equations
13. Students will be able to solve logarithmic equations
14. Students will be able to graph exponential and logarithmic
functions using a calculator
15. Students will be able to solve real-world problems using
exponential and logarithmic functions
UNIT 7: Probability and Statistics
(6 Weeks)
Enduring Understandings:
 ???
Essential Questions:
 ???
Knowledge and Skills
16. Students will be able to find the mean and standard deviation for a
data set to fit the data to a normal curve
17. Students will be able to estimate the are under a curve or a portion
of a curve and explain the significance of the area
18. Students will be able to use a calculator to find the function of best
fit (linear, quadratic, etc) for a scatter plot of data
19. Students will be able to analyze a data set and find outliers in the
data
20. Students will be able to calculate a sample mean of population
from a data set
21. Students will be able to find the probability of independent and
dependent events
22. Students will be able to find the probability of compound (and, or)
events
23. Students will be able to apply counting principle in the context of a
probability problem