TUTORING SUBJECTS:
- INTERNATIONAL BACCALAUREATE (IB)
Some overlap with the AP program but more Calculator based. You need a
graphing Calculator for this class.
- ARITHMETIC
Order of Operations, add and subtract fractions. LInear equations, ratios and proportions.
- ALGEBRA I
Graphing linear functions. Factoring expressions. Add, Subtract, Multiply, and Divide Rational expresions. Solving linear and quadratic equations. Introduction to graphing quadratic equations.
- GEOMETRY
Understanding theorems, postulates, and proofs involving Euclidean geometry. Analyzing congruent and similar triangles. Students will study parallel lines, angle bisectors, and the midpoint. Properties of quadrilaterals and parallelograms are discussed. Additional topics include the relationship between circles and tangent and secant lines. Three dimensional geometry includes volumes and surface areas of pyramids and prisms.
- ALGEBRA II / TRIG
Extended study of Algebra I. Students will learn many different methods to solve a system of equations. Elimination, substitution, matrices, and determinants are studied. Behaviors of polynomial and rational functions are discussed. Analyzing graphs of polynomial transformations. Logarithms and their properties. In the second half of the course students study trigonometric functions. Analyze the unit circle, sinx, cosx, tanx, identities, and inverse functions.
- PRECALCULUS / CALCULUS A
Extended study of inverse functions, logarithms, and trig functions. Graphing the six trig functions and polynomial transformations. Complex numbers and DeMoivre's theorem. In Calc A students learn derivatives and the Fundamental Theorem of Calculus parts 1 and 2 ; the relationship between derivatives, antiderivatives, and their graphs. Reiman Sums, rates of change, using the definition of a derivative, and properties of derivaties are discussed.
- CALCULUS BC
Course begins with review of Calc A. 1st semester includes techniques of integration, application of derivatives, differential equations, and applications of definite integrals. 2nd semester continues with more integral applications. Then sequences and series, power series, and function representations are studied.
- AP STATISTICS / STATISTICS
Parametric statistics. Students will learn the proper methods of setting up an observational studies and experiments. Hypothesis testing techniques will be studied to make conclusions about population means and standard deviations. Z, t, x^2, F test, and probability distributions are analyzed.
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