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I am a vastly experienced teacher dedicated to providing an inspirational and high quality learning environment. I am committed to educational excellence and concerned for students' wants and needs. I am bilingual (fluent English and Read more

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The purpose of Algebra as a math discipline, is to study the relationship between variables. The understanding of that pattern is useful to make predictions. This course is guided to the understanding of:

Expressions and Equations

Linear Equations

Graphical Representations of Linear Equations

Inequalities

Systems of Linear Equations

Polynomials

Factoring and Quadratics

Rational Expression Simplification

Rational Equations

Applying Fractions

Radicals

Radical Equations

Algebra 2 should develop in students advance algebra skills that will help them to succeed in future college mathematics. The course outline must include :

Relations and Functions

Domain and Range of a Function

Operations on Functions

Composition of Functions

Problem Solving with Composite Functions

Algebraic Operations

Laws of Exponents

Factoring

Simplifying Complex Fractions

Fractional Exponents and Radicals

Operations on Radicals

Equations and Inequalities

Linear Equations and Inequalities

Absolute Value Equations and Inequalities

Solving and Graphing Double Inequalities

Quadratic Inequalities

Fractional and Radical Equations

Problem Solving with Fractional Equations

Complex Numbers

Simplifying and Evaluation Complex

Numbers

The Quadratic Formula

Roots, Discriminant, and Graph of a

Quadratic Equation

Problem Solving with Quadratic Equations

Transformations

Reflections, Translations, Rotations, and

Dilations

Translations of Graphs

Composition of Transformations

Inverse Functions

Conics

Equations of Circles, Ellipses, and

Hyperbolas

Systems of Quadratic Equations

Variation

Direct, Inverse, and Joint Variation

Problem Solving

Exponential and Logarithmic Functions

Negative and Fractional Exponents

Graphs of Exponential Functions

Equations with Rational Exponents

Solving Exponential Equations

Logarithmic Functions

Solving Logarithmic Equations

Laws of Logarithms

Problem Solving with Exponential Growth

and Decay

The goal of Biology is to develop a deep understanding of the natural world and to promote among the students the respect for other living things and the environment. This course covers the following areas :

*Nature of Science- To investigate using

the scientific method how nature works

at all levels from molecules, cell to

the biosphere.

*Ecology- To investigate the interaction

among organisms and their environment.

*Cells- To study the basic unit of life and

all the processes that at that level

provide the energy to survive.

*Genetics- To show how a universal genetic

code determines an organism's

characteristics.

*Evolution- To demonstrate how organisms

have evolve over time.

*Taxonomy- To investigate the variation

among organisms from microorganisms to

complex multicellular organisms.

*Human Body- To show all the coordinated

functions that supports and maintain

human's homeostasis.

The goal of Geometry is to study the properties and applications of common geometric figures in two and three dimensions. The geometry course must cover the following topics:

*Tools of Geometry- To understand and

apply the logical reasoning of

axioms,theorems inductive and deductive

statements.

*Parallel and Perpendicular lines- To use

geometric proofs to demonstrate

parallel and perpendicular lines. The

use of formulas to find midpoint of a

segment and distance.

*Congruent Triangles- To prove that

triangles are congruent by using the

concept of corresponding parts.

*Quadrilaterals- To prove the relationship

between angles in polygons by using

properties of complementary,

supplementary, vertical and exterior

angles.

*Proportions and Similarities- To

determine how changes in dimensions

affect the perimeter, area and volume

of figures.

*Right Triangle and Trigonometry- To use

measure of sides and exterior or

interior angles of triangles and

polygons to classify figures. The use

of the Pythagorean Theorem to determine

distance and find missing lengths of

a side of the triangle. The use of

trigonometry to solve for an unknown

length of a side of the triangle.

*Transformations- To know the effect of

rigid motions on figures in the

coordinate plane and space including

rotations, translations and reflections

*Circles- To find the relationship among

chords, secants, tangents, inscribed

or circumscribed polygons of circles.

*Area, Surface Area and Volume- To compute

and solve problems applying formulas

of regular solids such as spheres,

prisms, pyramids, cylinders and cones.

Physics is a fundamental science that studies the relation among matter and energy. The goal of the physical science is to study this relation in order to apply them and make predictions. The course of physical science must include:

Scientific Method and Measurement

Structure and Properties of Matter

*Atomic model

*Law of Conservation of Matter

*Elements, compounds and Mixtures

*Density

Freezing and Melting Points

Motion and Forces

*Laws of Motion

*Gravity

Energy

*Types of Energy

*Waves

*Electricity

*Magnetism

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