Course Description:
The nature of this course will be to study Algebra II through discovery and peer
collabo ration so that all students are sufficiently prepared for any Algebra II
course.
Course Objectives:
Throughout this course students will be able to:
Learn terminology and notation of specific
Algebra II vocabulary
Develop critical thinking and co operative
behavior
Write and solve a linear equation in one
variable
Solve a literal equation for a specified
variable
Write, solve, and graph linear inequalities
in one variable
State the domain and range of a relation,
and tell whether it is a function
Write a function in function notation and
evaluate it
Find the inverse of a function or relation
Determine whether the inverse of a function
is a function
Solve a system of linear equations by
graphing and by substitution
Solve a system of two linear equations in
two variables by elimination
Identify, evaluate, add, subtract, and
multiply polynomials
Define, identify, and graph quadratic
functions
Multiply linear binomials to produce a
quadratic expression
Solve quadratic equations by taking square
roots
Use the Pythagorean theorem to solve
problems involving right triangles
Use the quadratic formula to find real roots
of quadratic equations
Use the roots of a quadratic equation to
locate the axis of symmetry of a parabola
Graph and perform operations on complex
numbers
Identify and describe the important features
of the graph of a polynomial function
Solve polynomial equations
Course Expectations:
As with your other classes, the No Discount Policy will hold true here. It is
also expected
that you will put your full effort forth while in class and on your homework.
Grading:
| Homework: |
20% |
| Classwork /Participation: |
20% |
| Quizzes: |
30% |
| Projects: |
25% |
| Notebook: |
5% |
Notebook:
Your notebook for this summer will be created to be a resource for you during
the school
year. Your notebook will be checked at the end of every 2nd week for
organization and
completeness. Your 3-ring binder should consist of the fol lowing sections :
Notes/Classwork, Definitions, Homework, and Quizzes/Projects.
Homework:
You will have homework each night. All homework assignments will be checked for
completion and some homework assignments will be collected and graded for
understanding and presentation.
Classwork/Participation:
Everyone is expected to actively participate in class while working
independently and in
groups. Some of your classwork assignments will be collected and graded.
Classwork
and Participation in class go hand in hand and will include group and individual
assignments, project work done in class, and mathematic discussions.
Quizzes:
There will be a quiz at least once a week. Though students will be given advance
notice
on most quizzes, pop-quizzes may occur at the start, in the middle, or at the
end of some
classes. Pop-quizzes will not be weighed as heavily as normal quizzes.
Projects:
There will be multiple projects during the summer. Participation is mandatory
and the
projects will require work in and out of class.
Course Schedule
| Week 1 – June 26 – June 30 |
| 06/26, Monday |
Introductions, Syllabus, Discuss Prior Algebra
Skills, Solving
Equations |
| 06/28, Wednesday |
Solving Inequalities |
| 06/30, Friday |
QUIZ [Solving Equations and Inequalities],
Functions vs.
Relationships, Inverse Functions |
| Week 2 – July 03 – July 07 |
| 07/03, Monday |
NO CLASS |
| 07/05, Wednesday |
Solving Systems of Equations (Substitution),
PROJECT #1 –
Profit (Systems of Equations) |
| 07/07, Friday |
QUIZ [Functions], Solving Systems of Equations
(Elimination) |
| Week 3 – July 10 – July 14 |
| 07/10, Monday |
Monomials |
| 07/12, Wednesday |
QUIZ [Systems of Equations], Multiplying
Polynomials,
PROJECT #1 Due |
| 07/14, Friday |
NO CLASS |
| Week 4 – July 17 – July 21 |
| 07/17, Monday |
QUIZ [Monomials/Polynomials], Quadratic Functions
and Their
Graphs |
| 07/19, Wednesday |
Solving Quadratic Functions ( Factoring – Window
Method) |
| 07/21, Friday |
Complex Numbers, PROJECT #3 – Functions |
| Week 5 – July 24 – July 28 |
| 07/24, Monday |
QUIZ [Quadratic Functions], Using the Quadratic
Formula to
Graph Quadratic Functions |
| 07/26, Wednesday |
SHORTENED CLASSES, Polynomial Functions |
| 07/28, Friday |
Long Division/ Synthetic Division |
| Week 6 – July 31 – August 4 |
| 07/31, Monday |
QUIZ [Polynomial Functions, Long
Division/Synthetic Division],
Finding Zeros |
| 08/02, Wednesday |
PROJECT #3 due, Rational Functions |
| 08/04, Friday |
SHORTENED CLASSES, QUIZ [Finding Zeros, Rational
Functions], Wrap-Up |
Algebra II Vocabulary
The following terms will be learned over the course of the summer. These terms
should
be kept in their own section of the Notebook so as to be an easily accessible
resource
during the upcoming school year. Definitions should include any applicable
diagrams
and geometric notation.
Equation
Variable
Solution of the Equation
Terms
Like Terms
Simplified Expression
Inequality
Solution of the Inequality
Function
Domain
Range
Relation
Independent Variable
Dependent Variable
Inverse of a Relation
One-to-One
Identity Function
Systems of Equations
Elimination Method
Degree of a Monomial
Polynomial
Binomial
Trinomial
Degree of a Polynomial
Standard Form
Quadratic Functions
Quadratic Expression
Parabola
o Vertex
o Axis of Symmetry
o Minimum Value
o Maximum Value
Principal Square Root
Pythagorean Theorem
Factoring
Zero of a Function
General Form of a Quadratic
Equation
Quadratic Formula
Imaginary Numbers
Complex Numbers
Complex Plane
Local Maximum
Local Minimum
Increasing Functions
Decreasing Functions
Continuous Functions
Discontinuous Functions
End Behavior
Leading Coefficient
Roots
Multiplicity
Rational Expression
Rational Function
Excluded Values
Vertical Asymptote
Horizontal Asymptote
Hole in the Graph
