9TH GRADE ALGEBRA FRACTIONS DIVIDING AND MULTIPLYING
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I hope you all had a wonderful and relaxing summer. The year to come will be exhilarating, enlightening, and entertaining. You are now familiar with the Arise curriculum, and together, we will learn new mathematical concepts that are both exciting and applicable to your lives.

We will delve into the world of functions and immerse ourselves in coordinate axes, lines, and polynomials. We will explore ways in which to determine effective business and the best location for a fire station. We will discover geometry and the most efficient ways to package the simplest of items. We will understand all the properties of numbers and why they work. Probabilities of events and statistics will leave us wondering and understanding why things happen. Strategies for solving problems will also help us in each of these quests.

We will work as a class, in groups, and as individuals. In our mathematical discussions we will learn how to solve these problems and explore real-life situations, almost all of which are applicable to mathematics. We will find the most reasonable solutions to problems to which there is no accurate answer.

Participation is an essential element of my class. It includes completion of homework and projects, contributions to class discussions and group work, listening and asking questions when you dont understand material, and participation in any activities performed as a class. Everyone who puts in their best effort and works hard in my class will succeed. I would like each student to walk away with an understanding of and a new perspective on mathematics.

Each student is required to purchase a copy of the blue Barrons Lets Review: Math A. This is an excellent review book for the regents, and we will occasionally be using it for class work and homework. I recommend that you purchase the package that includes a red Barrons book containing numerous regents exams in addition to the blue book. These should be available in Barnes & Nobles Bookstores. You are also required to purchase a ti83 graphing calculator. It costs approximately \$90 and can be found on the Internet, in Staples, or a standard Electronics store. I suggest you look around for the best price. If you have a problem getting one for any reason, let me know.

You will need one 1-inch binder, section of a binder, or notebook used only for math and an additional section of a binder for handouts. You will need to buy two additional folders that I will collect. You are required to have a stapler at home. You will also need a small notebook in addition to your math section and a compass. Later in the semester you will need graph paper so you might want to buy some now while there are sales.

The policies for my class are as follows:
• All homework should be done individually on a daily basis. All missed homework must be made up, although late homework will receive no credit. All homework and projects must be stapled before coming to class or points will be taken off.
• We have a lot of exciting and challenging material to cover, so I expect you to pay attention at all times.
• We will have group work so you may find solutions to problems with the input of your fellow classmates. We will be working together as a team, and everyone is expected to play an equal part in the task at hand.
• Participation is a large part of your grade. I expect that each student be active in both class discussion and group projects whether your contributions are verbal or written.
• You may not chew gum, eat, or drink in class. Our school has a no hats, walkmans or beepers policy.
• There is always extra material available for students who want extra challenges, and every student is welcome to speak with me if you have any questions.

The grading policy is as follows:
You will be evaluated based upon four different elements: tests, homework, participation, and projects. Although they each count for different amounts of your grade, they are equally important.
 Tests 35% Homework 20% Participation 25% Projects 20%

UNIT I - Systems Of Equations (Word Problems)
This unit will continue the work started last year. We will review the summer homework and use different ways to solve the system including substitution, elimination, and graphing.
• Linear-Linear
• Linear-Exponential

UNIT II Properties of Real Numbers
This unit will cover the properties of real numbers and conversion of units. It will be helpful in your chemistry classes as well.
• Real Numbers: commutative, associative, distributive, identity, inverse, closure
• Conversion of Units
• Scientific Notation

UNIT III Algebraic Fractions
Operations on algebraic fractions will be covered including a review of factoring. This is a lengthy unit.
• Simplifying
• Subtracting
• Multiplying
• Dividing

Operations on radicals will be covered including a review of factoring. This is a lengthy unit.
• Simplifying
• Subtracting
• Multiplying
• Dividing

UNIT V - Trigonometry
In this unit we will begin working with triangles and discover the relationships between the sides of right triangles.
• Sine
• Cosine
• Tangent
• Inverse Sine, Cosine, Tangent

UNIT VI Congruent Triangles
We will continue working with triangles and the relationships between their sides and angles.
• Triangles: SAS, ASA, AAS, SSS, HL
• Properties of common polygons
• Geometric Proofs

UNIT VII Area / Volume
In this unit you will have the opportunity to learn the thought process behind designing packages for simple items.
• Perimeter
• Area
• Symmetry
• Volume
• Surface Area

UNIT VIII - Transversals
This unit will teach you to identify relationships between angles using parallel and intersecting lines.
• Supplementary
• Alternate Interior
• Corresponding
• Vertical

UNIT IX - Transformations
You will move points, lines, and shapes along the x- and y-axes, and you will learn how to transform images.
• Reflection
• Translation
• Rotation
• Dilation

UNIT X - Loci
This unit will help you determine loci satisfying single and multiple conditions.
• Fixed Point
• Fixed Distance from a line
• Equidistant from a line
• Equidistant from two points
• Equidistant from intersecting lines

UNIT XI Linear Inequalities
This is a short unit that will cover functions that have less than or greater than signs.
• Graphing
• Solving
• Graphing Intersection of linear inequalities
• Combined Inequalities

UNIT XII Distance and Absolute Value
This unit will allow you to create your own village using the mathematical concepts covered. We will also reacquaint ourselves with the coordinate axes.
• Absolute Value
• Distance Formulas
• Piecewise Equations

UNIT XIII - Probability
You will learn how to find the probability of several events occurring or not occurring and the different outcomes of a specific event or arrangement. This is a lengthy unit.
• Single Events
• Multiple Events
• Tree Diagrams
• Probability Tree Diagrams
• Permutations
• Combinations

UNIT XIV - Statistics
You will be able to conduct data analysis using several statistical diagrams.
• Mean, Median, Mode, Variance, Standard Deviation
• Frequency Histograms
• Cumulative Frequency Histograms
• Box-and-Whisker Plots
• Stem-and-Leaf Plots

UNIT XV - Logic
You will learn how to use inductive and deductive reasoning to determine solutions to problems and solve the mysteries of mathematics.
• Truth Tables
• Conjunctions, Disjunctions, Negations
• Conditionals, Biconditionals
• Inverse, Converse, Contrapositive

UNIT XVI Geometric Constructions
This unit will be covered in groups and at home. You will learn to construct images from points and lines.
• Geometric Constructions

**THIS SYLLABUS IS NOT FINAL AND WILL BE SUBJECT TO CHANGE THROUGHOUT THE YEAR.

**Each unit will include homework, math packets and one exam or quiz. There will be four unit projects throughout the year, two in each semester.

•  Principal: Alicia Perez-Katz 17 Lexington Ave. Box A-920 New York, NY 10010 Main Office: (646) 660-6400 Fax: (646) 660-6401 Email: Guidance Office: (646) 660-6422 College Office: (646) 660-6409 (646) 660-6402