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Syllabus - Immaculate Heart High School

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Algebra II<br />

2012-2013<br />

Mrs. Jessica Quinn<br />

jquinn@immaculateheart.org<br />

Office Hours: Afterschool, or by appointment at break or lunch<br />

Location: U2<br />

Department Philosophy Statement<br />

Knowledge of mathematics and creativity in its application have become more critical than ever in our<br />

contemporary world. This knowledge and accompanying skills are essential for young women to be<br />

able to discern carefully, to choose wisely, to realize their own unique potential and to function as<br />

intelligent, informed and contributing members of their society and the global community.<br />

The mathematics department attempts to provide the solid foundation in mathematics necessary to<br />

encourage and inspire students to continue their study of the discipline and related subjects beyond<br />

the high school level and for the rest of their lives. A population that is “numerate” is a necessity for a<br />

technological society that is continually changing and ever increasing in complexity.<br />

Course Description<br />

Algebra II is a continuation of the study of mathematics begun in both Algebra I and Geometry. It marks<br />

the end of the required portion of the mathematics curriculum and may be the foundation for further<br />

studies in math. In Algebra II we will review and expand upon topics from Algebra I, particularly<br />

simplifying expressions, solving equations, and graphing. We will explore several new kinds of functions<br />

and look at some of the applications of algebra to everyday situations.<br />

Students in Algebra II should have successfully completed Algebra I and Geometry. Note: this class does<br />

not meet the prerequisites for the Pre-Calculus or AP Statistics courses.<br />

Academic Content Standards (Common Core Standards)<br />

Upon graduation from <strong>Immaculate</strong> <strong>Heart</strong> <strong>High</strong> <strong>School</strong> students will:<br />

1) Make sense of problems and persevere in solving them.<br />

2) Reason abstractly and quantitatively.<br />

3) Construct viable arguments and critique the reasoning of others.<br />

4) Model with mathematics.<br />

5) Use appropriate tools strategically.<br />

6) Attend to precision.<br />

7) Look and make use of structure.<br />

8) Look for and express regularity in repeated reasoning.<br />

1


Course Chronology:<br />

First Semester<br />

Equations and Inequalities<br />

Linear Equations and Functions<br />

Systems of Linear Equations & Inequalities<br />

Matrices<br />

Quadratic Functions<br />

Second Semester<br />

Polynomial Expressions and Functions<br />

Power Functions<br />

Exponential and Logarithmic Functions<br />

Rational Equations and Functions<br />

Sequences and Series<br />

Probability<br />

Required Materials<br />

Algebra 2: Applications, Equations, Graphs, by Larson, Boswell, Kanold, and Stiff, published by<br />

McDougal Littell, 2011.<br />

Three-ring binder to organize notes, handouts, homework and quizzes.<br />

TI-83 Plus/TI-84 Plus graphing calculator.<br />

Paper, graph paper, ruler with inches and centimeters, pencil (mechanical is preferred), eraser.<br />

Classroom Expectations:<br />

Participation: Students are expected to be participants in the learning process. Your<br />

contribution to the environment - positive or negative - will be considered when the semester<br />

grade is calculated. Participation includes, but is not limited to, making relevant observations,<br />

asking & answering questions, remaining on task, having your binder up-to-date, being civil and<br />

helpful, having course materials, attending regularly and being on time.<br />

Web Pages: Assignments and announcements of quizzes and exams will be made in class and<br />

on the class’s webpage. Every effort is made to update the page after each class meeting.<br />

Make-Up Tests: Generally, students with extended absence for illness have as many days to<br />

make up an exam. (Please see me as soon as you return.) Quizzes that have been graded and<br />

returned cannot be made-up, however a student who misses a quiz will be given a blank copy<br />

for study purposes without penalty.<br />

A student who is absent the period before a test, but present when the test was scheduled,<br />

should contact me before the test if she feels she is not prepared to take it with the class.<br />

A student who is absent on the test day only should contact me to schedule a time to take the<br />

test on the day she returns.<br />

Make up Work: Regular attendance is critical for success in mathematics as the class work<br />

supplements the material presented in the textbook and vice versa. If an absence is<br />

unavoidable, I expect the student to read the text, obtain the notes and help from another<br />

student and make an effort to complete the assignment(s). If there are questions, bring the<br />

notes to office hours/appointment for clarification as soon as possible.<br />

2


Homework: Homework is assigned on a daily basis and will be listed on the class web page.<br />

Homework is checked AT THE BEGINNING OF CLASS on the day the assignment is due. Late<br />

homework will be accepted up to one week after the assignment was originally due. You may<br />

turn in two late homework assignments each quarter with no penalty. After these two late<br />

assignments, late work will be awarded half credit.<br />

Technology: Graphing calculators will be used extensively for in-class work. Calculators may be<br />

used on all homework assignments unless otherwise specified.<br />

Cell phones and other technology may never be used in class and I highly recommend turning<br />

off cell phones and other electronic devices while completing homework. Unauthorized use in<br />

class will result in a detention.<br />

Academic Integrity: You are expected to adhere to the principles stated in the Academic<br />

Integrity Policy and any deviation from there will have consequences.<br />

Test Return Policy: Quizzes will be returned for students to keep in their binders. Chapter tests<br />

will remain in my custody.<br />

Other classroom rules: All classroom rules and regulations regarding conduct, attendance,<br />

dress code, grading, plagiarism, etc. shall be implemented and followed as stated in the school<br />

handbook.<br />

Types of Assessments:<br />

Homework: Homework assignments are worth two points each. All regular homework assignments<br />

must include the following elements:<br />

Your name<br />

Assignment Name (including the page number and problems)<br />

Each assigned problem must include:<br />

a. the original problem and any picture or graph that is associated with it (you may paraphrase<br />

long word problems)<br />

b. sufficient work written in a logical, neat and organized way<br />

c. your proposed solution<br />

Check the odd-numbered problems in the back of the book before class. Use a red pen to show that the<br />

work has been corrected. Try Hotmath.com for extra help on homework problems. Use the<br />

password: xe63070de . Ask questions about your homework the following day. Corrections are made<br />

during the first ten minutes of class and it is important to pay attention to this part of the class. Each<br />

problem on the assignment should be attempted in order to receive credit for the assignment.<br />

The website associated with the text,<br />

http://www.classzone.com/cz/books/algebra_2_2011_na/login.htm , has resources such as extra<br />

examples, self-check quizzes and a parent and student study guide.<br />

3


Quizzes/Tests: Generally, there will be 2 quizzes per chapter worth about 50 points each. Quizzes are<br />

primarily free-response. Chapter Tests will include some multiple choice questions along with free<br />

response and be worth 100 points.<br />

Participation: A participation grade will be assigned once each quarter to reflect the behaviors<br />

described in the classroom expectations. It will be worth approximately 10% of the points possible for<br />

the quarter and be based on my recollection of your engagement in the learning process in class during<br />

the quarter.<br />

Semester Exam: A comprehensive semester exam covering the semester’s content will be given at the<br />

end of the semester and worth 25% of the semester grade.<br />

Grading Policy:<br />

75% of each semester grade will be based on a percentage of total points of tests (100 points each),<br />

quizzes (30-50 points each) and homework assignments (2 points each) .<br />

25% of each semester grade will be based on the final exam.<br />

100-93 A 89-87 B+ 79-77 C+ 69-67 D+ 59-0 F<br />

92-90 A- 86-83 B 76-73 C 66-63 D<br />

82-80 B- 72-70 C- 62-60 D-<br />

4


Benchmarks and Performance Standards Revised 8/12<br />

Simplify algebraic expressions .<br />

Solve linear equations and inequalities .<br />

Solve absolute value equations and inequalities .<br />

Graph linear equations and inequalities .<br />

Graph absolute value equations .<br />

Graph scatter plots, fine lines of best fit, and identify correlation coefficients given data sets.<br />

Solve systems of linear equations and inequalities by graphing, substitution, and elimination.<br />

Simplify expressions with matrices.<br />

Write and solve matrix equations representing systems of linear equations.<br />

Solve quadratic equations with real and complex solutions by factoring, completing the square,<br />

and using the quadratic formula .<br />

Simplify expressions with complex numbers .<br />

Understand the connections between the graphs of absolute value and quadratic functions .<br />

Graph quadratic functions and identify characteristics.<br />

Understand the relationship between solutions of an equation, factors of an expression, zeros of<br />

a functions, and x-intercepts of a graph.<br />

Simplify polynomial expressions, including addition, subtraction, and multiplication.<br />

Factor polynomials using various methods .<br />

Simplify expressions with rational exponents .<br />

Solve equations involving rational exponents and radicals .<br />

Understand function notation, composition of functions, and the inverse of a function .<br />

Simplify logarithmic and exponential expressions.<br />

Solve problems involving exponential growth or decay, including population growth and<br />

compound interest.<br />

Solve logarithmic and exponential equations .<br />

Graph logarithmic and exponential equations .<br />

Simplify rational expressions with monomial and polynomial denominators.<br />

Simplify complicated rational expressions including complex fractions and expressions with<br />

rational exponents .<br />

Solve rational equations .<br />

Find the next term and n th term of arithmetic and geometric sequences.<br />

Find the finite or infinite sums of arithmetic and geometric series, if they exist.<br />

Use summation notation to represent series.<br />

Understand the Fundamental Counting Principle and be able to compute numbers of<br />

permutations and combinations.<br />

Find theoretical, experimental, and geometric probabilities.<br />

Find the probability of compound events and independent and dependent events.<br />

5

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