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MATHEMATICS


MATH 7

GRADE: 7
SEMESTERS: Year
CREDIT: 0
PREREQUISITE: None

COURSE DESCRIPTION:
This course begins with a review of the four basic operations of addition, subtraction, multiplication and division with whole numbers. The course then expands to use the four basic operations with decimals to millionths place, fractions and mixed numbers. It introduces and further develops the concepts of ratio, proportion, percent, integers, solving equations and inequalities, graphing on a number line and coordinate plane, and graphing from a rule. Probability, statistics and geometry are also introduced.

AREAS OF STUDY:
1. Adding and subtracting whole numbers
2. Using percent and decimals
3. Pre-algebra: integers and graphing
4. Multiplying and dividing whole numbers
5. Probability and decimals
6. Pre-algebra; expressions and equations
7. Adding and subtracting fractions
8. Geometry
9. Multiplying and dividing fractions
10. Using graphs and statistics
11. Ratio, proportion and percent

PERFORMANCE STANDARDS:
1. Consistently and accurately adds, subtracts, multiplies, and divides whole numbers.
2. Demonstrates an understanding of fractions, percents, and decimals in order to solve problems.
3. Represents relationships with lines, tables, and graphs, as well as with numbers.
4. Finds solutions for unknown quantities in simple equations.


MATH 8

GRADE: 8
SEMESTERS: Year
CREDIT: 0
PREREQUISITE: None

COURSE DESCRIPTION:
This course is designed to automate the upper level skills of arithmetic, while gently introducing more abstract concepts.

AREAS OF STUDY:
1. Mixed number problems
2. Measurements
3. Fractions problems
4. Percent problems
5. Decimal problems
6. Percents
7. Integers
8. Ratios

PERFORMANCE STANDARDS:
1. Consistently and accurately adds, subtracts, multiplies, and divides whole numbers.
2. Demonstrates an understanding of fractions, percents, and decimals in order to solve problems.
3. Find area, volume, perimeter
4. Demonstrate understanding of exponents
5. Solve fractional part-of-number problems


PRE-ALGEBRA

GRADE: 9-12
SEMESTERS: Year
CREDIT: 2
PREREQUISITE: None

COURSE DESCRIPTION:
This course is designed to help students develop skills in mathematics to prepare them for success in Algebra I.

AREAS OF STUDY:
1. Algebraic Expressions and Integers
2. Solve One-Step & Multiple-Step Equations and Inequalities
3. Decimals and Equations
4. Factors, Fractions and Exponents
5. Operations with Fractions
6. Ratios, Proportions, and Percents
7. Linear Functions and Graphing
8. Spatial Thinking
9. Area and Volume
10. Right Triangles in Algebra
11. Data Analysis and Probability
12. Nonlinear Functions and Polynomials

PERFORMANCE STANDARDS:
1. Consistently and accurately add, subtract, multiply and divide whole numbers, fractions, and decimals.
2. Solve equations with equalities and inequalities
3. Calculate problems involving ratios, proportions, and percents
4. Find area, perimeter, and volume
5. Solve and graph linear functions


BASIC ALGEBRA

GRADE: 9
CREDIT: 2
SEMESTERS: Year
PREREQUISITE: None

COURSE DESCRIPTION:
This class is geared to generate a basic level of Algebra while enhancing fundamental skills.

AREAS OF STUDY:
1. Decimals and money
2. Algebraic expressions and integers
3. Solving equations and inequalities
4. Factors, fractions and exponents
5. Operations with fractions
6. Ratios, proportions and percentages


ALGEBRA I

GRADE: 8-12
SEMESTERS: Year
CREDIT: 2
PREREQUISITE: None

COURSE DESCRIPTION:
Algebra I is a problem-solving course dealing with the expression of problems as equations and inequalities. Both linear and quadratic equations are covered as well as units in coordinate geometry, inequalities, and systems of equations.

AREAS OF STUDY:
1. Exploring Expressions, Equations, and Functions
2. Exploring Rational Numbers
3. Solving Linear Equations
4. Using Proportional Reasoning
5. Graphing Relations and Functions
6. Analyzing Linear Equations
7. Solving Linear Inequalities
8. Solving System of Linear Equations and Inequalities
9. Exploring Polynomials
10. Using Factoring
11. Exploring Quadratic and Exponential Functions

PERFORMANCE STANDARDS:
1. Understanding the algebraic language.
2. Consistently and accurately solving simple equations.
3. Understanding the different properties to solve a wide range of mathematical problems.
4. Taking the knowledge from solving simple equations and be able to use that to solve more complex problems.


GEOMETRY

GRADE: 9-12
SEMESTERS: Year
CREDIT: 2
PREREQUISITE: Algebra I

COURSE DESCRIPTION:
Geometry is a one-year course following in sequence Algebra I. The course explores plane figures and extensions into space. The properties of the relationships between, and the measures for, various sets of points, such as lines, planes, polygons, circles and spheres are studied. Other introductory topics are logic, transformations and graphs. Emphasis is placed on deductive reasoning and problem-solving skills. The concept of proof, based on geometric logic, is used to develop the ability to approach a problem from this attitude. Geometry is recommended for all college-bound students.

AREAS OF STUDY:
1. Points, Lines, and Angles
2. Introducing Proofs
3. Triangles
4. Using Congruent triangles
5. Polygons and Similar polygons
6. Triangles
7. Areas in 2D and 3D
8. .Ratios and Proportions
9. Circles
10. Coordinate Geometry
11. Transformational Geometry

PERFORMANCE STANDARDS:
1. Understanding the relationships between lines, points, and planes.
2. Being able to use logic and reasoning to prove theorems, corollaries, and problems to be true.
3. Understanding the different kinds of polygons and using their properties to solve problems.
4. Graphing shapes on a coordinate plane and making those shapes perform different transformations.


ALGEBRA II

GRADE: 10-12
SEMESTERS: Year
CREDIT: 2
PREREQUISITE: Algebra I

COURSE DESCRIPTION:
Algebra II is an integrated course in algebra and trigonometry containing the modern mathematical structure and various number systems from natural to complex, and the properties of each in solving quadratic equations. Emphasis will be placed on the solving of triangles using trig functions during second semester. Algebra II is highly recommended for college-bound students.

AREAS OF STUDY:
1. Analyzing Equations and Inequalities
2. Graphing Linear Relations and Functions
3. Solving Systems of Linear Equations and Inequalities
4. Using Matrices
5. Exploring Polynomials and Radical Expressions
6. Exploring Quadratic Functions and Inequalities
7. Analyzing Conic Sections
8. Exploring Polynomial Functions
9. Exploring Rational Expressions
10. Exploring Exponential and Logarithmic Functions
11. Investigating Discrete Mathematics and Probability

PERFORMANCE STANDARDS:
1. Understanding and graphing functions both linear and quadratic.
2. Understanding the different properties of polynomials.
3. Solving simple and complex equations both linear and quadratic.
4. Being able to solve a system of equation using many different methods.


ADVANCED MATH:

GRADE: 11-12
SEMESTERS: Year
CREDIT: 2
PREREQUISITE: Algebra II and Geometry

COURSE DESCRIPTION:
Advanced math is a college prep course with emphasis on trigonometry, beginning calculus, exponential and logarithmic functions, analytic geometry, and probability and statistics.

AREAS OF STUDY:
1. Linear Relations and Functions
2. Systems of Equations and Inequalities
3. The Nature of Graphs
4. Polynomial and Rational Functions
5. The Trigonometric Functions
6. Graph of Trigonometric and Inverse Functions
7. Trigonometric Identities and Equations
8. Vectors and Parametric Equations
9. Polar Coordinates and Complex Numbers
10. Conics
11. Exponential and logarithmic functions
12. Sequences and Series
13. Probability and Statistics

PERFORMANCE STANDARDS:
1. Understanding the different kinds of functions and how to graph those functions.
2. Being able to solve a system of equation using many different methods.
3. Understanding and applying trigonometric functions to solve real world problems.
4. Solving exponential and logarithmic functions by applying their identities and properties to solve those problems.


STATISTICS

GRADE: 12
SEMESTERS: Year
CREDIT: 2
PREREQUISITE: Advanced Math

COURSE DESCRIPTION:
Statistics is a college prep course that emphasizes sampling, using and understanding different types of graphs, central measures of tendency, probability, and hypothesis testing.

AREAS OF STUDY:
1. The Nature of Statistics
2. Organizing Data
3. Descriptive Measures
4. Probability Concepts
5. Discrete Random Variables
6. The Normal Distribution
7. The Sampling Distribution of the Sample Mean
8. Confidence Intervals for One Population Mean
9. Hypothesis Testing for One Population Mean
10. Inferences for Two Population Means
11. Inferences for Population Standard Deviations

PERFORMANCE STANDARDS:
1. Understanding and representing information from samples into graphs and tables
2. Understanding and applying central measures of tendency
3. Understanding and finding the probabilities of different simple and complex events.
4. Using a sample to find discrete random variables and applying those to find the distribution of that sample.

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Updated 1/21/2013

 

 

 

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