I have successfully tutored high school students in all the Math content areas of the ACT: Pre-Algebra, Elementary Algebra, Intermediate Algebra, Coordinate Geometry, Plane Geometry, Trigonometry.
I have successfully tutored Middle and High School students in Algebra 1, which included the following topics: Order of Operations, Rules of Exponents and Scientific Notation, Simplifying Algebraic Expressions, Linear Equations and Inequalities (Solving and Graphing), Word Problems (Money, Motion, and Work Problems), Factoring (Binomials, Trinomials, Perfect Cubes, and Grouping), Fractions and Radicals (Addition, Subtraction, Multiplication, Division), Ratio and Proportion, Unit Conversion, Solving Quadratic Equations (Factoring, Completing the Square, and the Quadratic Formula), Functions (Notation and Variation), Solving Systems of Linear Equations (Substitution and Elimination Techniques), Sets and Venn Diagrams, Basic Statistics (Mode, Median, Mean), Observed and Reasoned Probability.
I have successfully tutored High School and College students in Algebra 2, which included the following topics: Factoring Expressions and Simplification of Radicals, Solving Inequalities and Manipulating Formulas, Classic Word Problems (Motion, Mixture, and Work Problems), Graphs and Equations (Lines, Circles, Parabolas, Ellipses, Hyperbolas), Functions, Logarithms, Systems of Equations, Sequences (Arithmetic and Geometric), Counting Problems (Permutations and Combinations), Use of the Mean in Calculation of Variance and Standard Deviation.
I have successfully tutored high school students in all the basic skill areas measured by the ASVAB test: English, Math, and Science.
I have successfully tutored elementary school students in elementary math, which included these topics: Prime Factorization of Numbers, Order of Arithmetic Operations, the Number Line and Arithmetic Operations with Signed Numbers, Fractions and Decimals (Fraction Forms, Reducing and Changing Fractions, Arithmetic Operations with Fractions, Conversion of Fractions to Decimals and Conversion of Decimals to Fractions), Percents, Ratios and Proportions.
I have successfully tutored Middle and High School students in Geometry, which included the following topics: Reasoning (Deductive, Indirect, Inductive), Conditional Statements and Variants, Venn Diagrams, Definitions (Points, Lines, Rays, Angles), Angle Relationships, Intersecting and Parallel Lines, Triangles (Triangle Inequalities, Proving Triangle Congruence, and Triangle Concurrency Theorems), Quadrilaterals (Parallelograms, Rectangles, Rhombuses, Squares, Trapezoids and Kites), Polygons (Interior and Exterior Angles, Angle Sums), Similarity (Triangles and Polygons), Polygon Area and Perimeter Formulas, Circles (Tangents, Secants, Chords, Arcs and Sectors), Coordinate Geometry (Distances, Midpoints, Slopes, Equations of Lines and Circles), Solids (Prisms, Cylinders, Pyramids, Cones, Spheres), Transformations (Translations, Rotations, Reflections, Dilations, Tessellations).
I have successfully tutored Middle School students in prealgebra, which included these topics: Number Systems (Classification of Sets of Numbers), Order of Arithmetic Operations, Algebraic Terms and Definitions, Algebraic Operations and Properties, Translation of Verbal Statements into Algebraic Statements, Solving Linear Equations, Algebraic Inequalities, the Coordinate Plane (Points, Equations of Lines, Slopes of Lines), Plane Geometry (Angle Relationships, Line Relationships, Triangles, Quadrilaterals, Circles, Polygon Area and Perimeter, Pythagorean Theorem and Right Triangle Trig Applications), Spatial Shapes (Prisms, Pyramids, Cylinders, Cones, Spheres, Volume and Total Surface Area), Ratio, Proportion, and Percent.
I have successfully tutored High School and College students in Precalculus, which included the following topics: Non-Linear Equations and Functions (High-Powered, Logarithmic, and Exponential Functions), Trigonometry (the Unit Circle, Trig Functions, Trig Identities, Trig Equations, and Oblique Triangle Theorems), Conic Sections (Parabolas, Circles, Ellipses, Hyperbolas), Matrices (Addition, Subtraction, Multiplication, Determinants, Cramer's Rule), Coordinate Geometry (Rectangular and Polar Coordinates), Permutations and Combinations, Synthetic Division.
I have successfully tutored High School and College students in Trigonometry, which included the following topics:Conversant with these Trig topics: Right Triangle Trig Ratios, Basic Trig Identities (Complementary, Pythagorean, and Reciprocal Identities), the Unit Circle, Inverse Trig Functions, Solving General Triangles (Law of Sines and Law of Cosines), Graphs of Trig Functions, Advanced Trig Identities (Addition, Double and Half Angle, Product, Sum, and Difference Identities), Proving Trig Identities, Trig Equations, Polar Coordinates and their Conversion to and from Cartesian Coordinates.