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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