I encourage the student to develop a good learning style, utilizing resources at hand, knowing their own strengths and weaknesses, doing self-assessment. I am a semi-retired math/science teacher that has taught at Jackson Community College, Baker College, and Washtenaw Christian Academy. I built and ran the Baker College Learning Support Services Center before joining an online retail development opportunity. I believe in knowing the basic foundation of any course before pursuing high... [more]
Algebra 1 introduces the principles that are used to find unknown values from given information. It begins to model real situations with equations (math shorthand). The student learns the Algebra language and how to manipulate equations: exponents, roots, PEMDAS, ratios and proportions, and fractions.
Algebra 2 deals with more complex numbers and equations. Instead of equations that represent lines, there are lines that curve in different ways. There is the concept of inequality. The equation is matched to the line as a graph of points and a line of points. The relationship of a point on the line is learned as the number that is part of a "set" of numbers. Other topics include: matrices, irrational numbers, sequences, functions and sometimes, logarithms.
Parts of sentences are learned such as phrases, what is a noun, subject, pronoun, object, verb, adverb. The student learns which form of the action words or descriptive words are proper to use with the subject or object. Also in elementary grammar, when and why to use quotations and other punctuation marks. Capitalization is reinforced.
I just finished a tutoring position for a Skyline High School student. His geometry included precalculus Trigonometry functions, translational graphs, etc.
I taught Technical College Physics at Baker College. I taught Physics at Washtenaw Christian Academy where I brought in The Physics of Cell Phones and Project Lead the Way's Robotics and Engineering lab course. The highest level Physics course taken at Eastern Michigan University was Quantum Mechanics.
Pre-Algebra is an introduction to the ideas of place value, negative numbers, order of operations, absolute value, inequalities, square roots, factors, multiples, ratios and proportions, and estimation. It is important that the student is well-grounded in basic multiplication through 9x9 and what it means to have a base ten number system, and the concept of what a fractional amount is. this is also when the student must begin to record the steps used to find solutions.
Sets,Real numbers,Complex numbers,Solving inequalities and equations,properties of functions such as Composite, Polynomial, Rational and Trigonometric functions. Inverses of functions, Trigonometric identities. Sometimes Conic sections, Exponential functions, Logarithmic functions. Sequences and series, Binomial theorem. Vectors, Parametric equations, Polar coordinates, Matrices and determinants. Mathematical induction and Limits.
The relationship between the angles of a triangles and the sides of the triangle is explored as the sine of the angle, the cosine, and the tangent. The reciprocals of those relationships are learned as well as how those ratios look on a unit circle whose radius is one. The "laws" of the trigonometric relationships can be used to solve problems more simply that using other means. The concept of radian is used to explore the difference between exact value and approximate.
Physical Science covers the basic laws of motion in our everyday observable world such as Newton's laws of motion: It involves the relationship between objects: Forces, weight, and mass; Momentum and conservation of momentum. It introduces the theory of gravity: Energy, work, and power; Motion, position, and energy; Energy forms, conservation, conversion, and transfer. It introduces the Chemistry and Physics topics of: Kinetic molecular theory, Phases of matter and phase transitions, Temperature and thermometers, Energy and heat (conduction, convection, and radiation); The three laws of thermodynamics; The principles of waves and sound; The principles of electricity, magnetism, and electromagnetism; The principles, sources, and properties of light.
Geology is the study of the solid portion of planet earth. The history of the Earth's formation is studied, as well as the movement of continents, and past climates. The course covers minerals and rocks, their formation and how they cycle and are transformed. Simple chemistry is included in crystal formation and a simple introduction to the periodic table as all minerals are how elements combine. Some other chemistry topics are density and porosity. Fluid dynamics might also be covered.
Ecology is the study of living organisms' relationships with each other and the environment. It includes learning about biomes, diversity, niches, and cycles such as nutrient, water, and carbon dioxide. It explores food webs, competition, and succession, how and why environments change over time.
Elementary math is learning more of the math language and how to represent number relationships by using a number line and a graphing system. Operations of more multiplication and division is covered. the concept of a negative number is explored as well as fractions and decimals. Other types of numbers are covered such as even, odd, and prime.
The student is introduced to the process of observing and recording details, and making predictions; then performing experiments to see if predictions are accurate. Part of the scientific process involves creating models, identifying through classification, using measurement tools and reading measurement tools. Students generally are asked to observe natural phenomena, such as rain clouds, rain and accumulation of rain, and see the relationships between.