### Geometry

Geometry is a branch of mathematics that covers the following Areas

- segment measure and coordinate graphing. that introduces the learner to real numbers and number line and segment coordinate plane and congruent.

-Angles is another major area that looks at angles,angle measure and types of angles in addition to, the perpendicular line.

-Parallel lines and tranversal line; the leaner is exposed to transversal and corresponding line as well as the equation and slope of parallel lines.

-Triangles and concruence helps the learner to identify similar triangles based on ASA,SSS,AAS, and SAS.

the student learnes more about constructing median,altitudes,perpendicular bisector,angle bisectors.isosceles and right triangles are analysed.the learnere is guided to the pythagorean theorem.The distance on the coordinate plane.

-Triangle inequalitiestouches on segments,Angles and inequalities.It introduces Exterior angle theorem and triangle Inequality Theorem

-Quadrilateral involves the analysis of four sided figure basically parallelogram,rectangles,rhombi and squares and trapezoids.

polygon and Area the learner gets the knowledgeon naming of polygon,diaganols and angle measure.areas of Triangle and trapezoids,Areas of reqular polygon,symmetry

-circles introduces the learner to parts of circle,arcs and central angles archs and cords inscribed polygons.circumference and area of a circle

-surface area and volume covers calculating volumes and surface area of the following common solids prism,cylinders,pyramid,cones and spheres.

-right angle and trigonometry focuses on simplifying root,30-60-90 triangle,45-45-90 triangle .tangent , sine and cosine ratios are introduced.

-the circle relationship covers the inscribed angles,tangent to circles,secant angles segment measures and wraaps up with the equation of circles.

-formalizing proof involves critical thinking the students are introduced to logic,truth table,deductive reasoning,paragraphic proofs and coordinate proofs. lastly geometry covers vazrious geometric transformations namely,translation,reflection and rotation

### Organic Chemistry

I have a bachelors degree in science education. I majored in math and chemistry teaching to college and high school students. Some of the course I took in chemistry are: physical chemistry, organic chemistry 1 and 2, analytical chemistry, electrochemistry, chemical kinetics, nuclear chemistry and physiorganic chemistry. I have taught and examined organic chemistry to high school students and tutored college students for five years. Currently, I tutor the subject to a number of students in life University GA. I have passed the GACE Science Test I and II. My accumulated experience in these courses have led to the development of appropriate teaching resources that help learners understand organic chemistry.

### Physics

Physics is sub divided in the following areas mechanics,thermodynamics, waves,electricity and magnetism ,light and optics and modern physics.

In mechanics the learner will understand motion in one dimension,vectors ,motion in two dimension, the laws of motion, energy momentum and collissions and circular motion and the laws of gravity and finally solids and fluids.

Thermodynamics deals with temperature,temperature scales thermal expansion of solids and liquids,kinetic theory of matter,heat,specific heat,latent heat and phase change, Energy transfer,thermal dynamic processes laws of thermodynamics and the Entropy.

Vibrations and waves exposes the learner to the knowlege on : Hooks law,elastic potential energy,compares simple harmonic motion and uniform circular motion,motion of a pendulum,property of waves(frequency,amplitude and wavelength,speed of waves on a string,the interference and reflection of waves.in addition to characteristic speed of sound wave are highlighted.the doppler effect and interference of sound waves are discussed. Forced vibrations and resonaceas well as standing waves are illustrated in this topic.

under electricity and magnetism we discuss:Electric charge,insulators and coductor,coulombs law,the electric field and electric charge. Electrical energy capacitance and the energy stored in a charged capacitor.In addition to,current, resistance and ohms law,resistivity and power. morover,direct current, circuits involving resistors in series,resistors in parallel , kirchhffs rules are applied. On the other hand magnetism introduces magnets, magnetic field, magnetic force, motion of a charged particle in a magnetic field,magnetic field between two paralell conductors, magnetic field of current loops.

Voltage and inductance,farads law of induction,lenzs law,generators,self-inductance and Energy storedin a magnetic field.

Alternating curent circuits covers resistors ,capacitors inductors and power in AC Circuits,Transformers and electromagnetic waves.

Light and optics is another key concepts covers properties of light in diffent medium,total internal reflection moreover,the properties of light as a wave is analysed.

Lastly, modern physics deals with Quantum atomic and nuclear physics.application of nuclear technology is discussed.

### Precalculus

Precalculus is a course designed to meet the needs of college entrance or high school students taking Advanced placement math or sophomore.

students taking this course will learn the following

Functions and their graphs under this content the learner gets to understand Graphs of equations,linear equations in two variables, functions , transformation ( shifting, reflection and stretch) combination of functions and inverse of function.

secondly, we introduce polynomial and rational fuction. the students needs to understand quadratic and polynomial functions, polynomial and synthetic division, complex numbers, zero of polynomials rational functions and partial fractions.

Thirdly, exponetial and logarithmic function highlights on exponetional and logarithimic fuctions and their corresponding graphs, properties of logarithms, exponential and logarithimic Equations and analysis of exponetional and logarithimic models .

trigonometry focuses on: trigonometric functions .the unit circle, the right triagle trigonometry, trigonometric function of any angle, graphs of sine snd cosine, inverse trigonometric function, the last section involve the analysis of trigonometry using fundamental identities, verifying trigonometric identities,solving trigonometric equations sum and difference formulas, multiple angle and product to sum formula.

In addition to the student learns the laws of cosine and sine,vectors nad the dot products and trigonometric form of a complex number.

Another area is system of equation and inequalities. the student learns how to solve systems of linear equations,two variable linear system, multivariable linear system, systems of linear inequalities and linear programming.

matrices and determinants is anothe crucial area, the learner is intriduced to matrices and system of equation, operation with matrices, the inverse of a square matrix, the determinant of a square matrix and the application of matrices in real life.

lastly comes sequence and series and probability.the critical areas are sequence and series, arithmetic sequence and partial sum, geometric sequence and series, he binomial theorem counting principle and probability.

### Statistics

I have a longterm experience in the following statisics areas: probability, discrete random variable,continous random variable, sampling distribution

-confidence interval of large and small samples, population proportion, hypotheses testing based on large sample,small sample and population proportion

-confidence interval and hypothesis testing based on two samples,

-ANOVA comparing more than two means

-Simple linear regression (coefficient of correlation,coefficient of determination)

multiple regression

-Chi- square test and the analysis of contigency table

-non parametric statistics

### Trigonometry

Trigonometry focuses on:trigonometric functions .The unit circle,the right triagle trigonometry,trigonometric function of any angle, graphs of sine snd cosine, inverse trigonometric function, the last section of trigonometry involves the analysis of trigonometry using fundamental identities, verifying trigonometric identities, solving trigonometric equations sum and difference formulas, multiple angle and product to sum formula.

In addition to the student learns the laws of cosine and sine,vectors nad the dot products and trigonometric form of a complex number.