ALGEBRA2
Mathematics Prince George’s County Public Schools SY 2011-2010
Course Code: 361003
Prerequisites: Geometry
Credits: 1.0 Math, Merit
Algebra 2 provides students with hands-on experiences to support the extension of applications of skills and concepts related to expressions and functions, graphs of functions, algebraic manipulations of functions, matrices, systems of equations, linear, quadratic, exponential, logarithmic, polynomial, and rational functions and the study of the complex number system. Students will be asked to solve real life problems and make connections to other disciplines.
INTRODUCTION:
In mathematics, continuous practice is paramount to mastering the concepts. Practice requires a tremendous amount of effort on the student’s part. Each student should expect to dedicate 2 - 3 hours of studying for every hour in class. Some hints for success in a Math class include: attending class daily, asking questions in class, and thoroughly completing all the homework problems with detailed solutions as soon as possible after each class session.
INSTRUCTOR INFORMATION:
Name:
E-Mail:
Planning:
Phone:
CLASS INFORMATION:
COURSE NUMBER:
CLASS MEETS:
ROOM:
TEXT: Algebra 2, Prentice Hall
WEB SITE:
CALCULATORS
The use of a graphing calculator is required. While participants may use any graphing calculator, the instruction in the course requires the TI-83 or TI-84. Knowledge and competence in the use of other graphing calculators will be the sole responsibility of the student.
GRADING:
Your grade will be computed from the following categories: class work, homework, and assessment. The following weighted average will be used to calculate your grade.
Category / Brief Description / Grade PercentageClass Work/
Group Participation / This includes all work completed in the classroom setting. Including:
Notebooks , Warm-ups, VocabularyWritten responses to Constructed Responses (BCR/ECR) where applicable, Group discussion, Active participation in math projects, Completion of assignments / 30%
Homework / This includes all work completed outside the classroom to be graded on its completion and student’s preparation for class (materials, supplies, etc.) Assignments can include, but not limited to: Problem of the Week, Friday Night Homework / 20%
Assessment / This category entails both the traditional (exams and quizzes) and alternative (presentations, projects, portfolios) methods of assessing student learning.
Exams, Quizzes, Portfolios, Research/Unit Projects, Oral presentations
Suggested criteria for grading presentations, projects, portfolios:
Concepts/objectives have been met
Completion of project
Creativity, originality / 50%
Your grade will be determined using the following scale:
90% - 100% A
80% - 89% B
70% - 79% C
60% - 69% D
59% and belowE
SAT/ACT:
SAT/ ACT preparation is infused into daily instruction. The curriculum is embedded with standardized test preparation activities and test-taking strategies that will help students be successful on high-stakes tests like the SAT, ACT or college entrance exams. The practice in each lesson will prepare the students for the format as well as for the content.
IMPORTANT DATES:
First Day of SchoolMonday, August 23, 2010
Professional DevelopmentFriday, September 24, 2010
½ Day Professional DevelopmentThursday, October 14, 2010
End of 1st Quarter (45 days)Friday, October 29, 2010
Grading/Teacher PlanningMonday, November 1, 2010
Parent/Teacher ConferencesFriday, November 12, 2010
End of 2nd Quarter (46 days)Friday, January 21, 2011
Grading/Teacher Planning DayMonday, January 24, 2011
½ Day Professional DevelopmentFriday, February 18, 2011
Professional DevelopmentFriday, March 4, 2011
End of 3rd Quarter (46 days)Thursday, March 31, 2011
Grading/Teacher PlanningFriday, April 1, 2011
Last Day for Students (44 days)Monday, June 13, 2011
Last Day for TeachersTuesday, June 14, 2011
First Quarter at a Glance
Throughout first quarter students will review solving equations, inequalities and absolute value equations and inequalities. Students will focus on linear functions and inequalities to graph functions and solve real world problems. Students will also solve systems of linear equations using multiple methods.
By the end of First Quarter Algebra 2 students should be able to:
Linear Functions, Equations, & Graphs
Simplify expressions
Identify, graphand analyze relations
Evaluate functions and composition of functions
Solve linear equations
Graph linear functions
Write equations of lines
Make predictions from linear models
Solve inequalities
Graph linear inequalities
Solve absolute value equations
Solve absolute value inequalities
Graph absolute value functions
Graph absolute value inequalities
Systems of Linear Equations and Matrices
Solve systems in two variables by graphing, substitution, and elimination
Solve systems in three variables by substitution and elimination
Represent systems of linear inequalities by graphing
Add, subtract, and multiply matrices
Use inverse matrices to solve matrix equations
Evaluate determinants of 2x2 and 3x3 matrices
Second Quarter at a Glance
Throughout second quarter students will be introduced to properties of non-linear functions. The focus will be quadratic and polynomial functions.
By the end of Second Quarter Algebra 2 students should be able to:
Quadratic Equations and Functions
Identify quadratic functions and graphs
Model data with quadratic functions
Analyze and Graph quadratic functions
Factor quadratic expressions
Solve quadratic equations by square roots
Solve quadratic equations by factoring
Solve quadratic equations by graphing
Identify and graph complex numbers
Solve quadratic equations by completing the square
Rewrite functions by completing the square
Solve quadratic equations by quadratic formula
Polynomials and Polynomial Functions
Classify polynomials
Model data using polynomials
Analyze factored form of a polynomial
Write polynomial function from its zeros
Divide polynomials using long and synthetic division
Solve polynomials by graphing and factoring
Use Pascal’s Triangle and Binomial Theorem
Third Quarter at a Glance
Throughout third quarter students will continue their study of non-linear functions including radical, exponential, logarithmic, and rational functions. Students will evaluate expressions, solve equations, and graph functions in addition to studying real world applications of these functions.
By the end of Third Quarter Algebra 2 students should be able to:
Functions
Perform basic operations on function
Find composite functions
Evaluate composite functions
Determine inverse functions
Radical Functions and Rational Exponents
Evaluate and simplify radical expressions
Solve radical equations
Evaluate and simplify expressions involving rational exponents
Graph radical functions
Exponential and Logarithmic Functions
Model exponential growth and decay
Write and evaluate logarithmic expressions
Graph exponential and logarithmic functions
Use properties of logarithms
Solve exponential and logarithmic equations
Use the natural and common logarithms
Rational Functions
Identify and graph inverse variations
Graph translations of inverse variations
Identify properties of rational functions
Graph rational functions
Simplify rational expressions
Add, subtract, multiply and divide rational expressions
Simplify complex fractions
Solve rational equations
Fourth Quarter at a Glance
Throughout fourth quarter students will explore conic sections, sequences, series, and probability. Students learn real world applications for each of these topics.
By the end of Fourth Quarter Algebra 2 students should be able to:
Conic Sections
Classify and identify key features of parabolas, circles, ellipses, and hyperbolas
Graph and write equations of circles and ellipses
Sequences and Series
Identify math patterns and find the nth term of a sequence
Classify and generate arithmetic and geometry sequences
Use summation notation
Evaluate arithmetic and geometry series
Probability
Find experimental probabilities
Find theoretical probabilities
Find probabilities of multiple events
Use factorial notation
Solve counting problems using permutations and combinations
Find conditional probabilities