The ACT Math section covers a wider variety of math concepts than are tested in the SAT Math section. However, the way the questions are asked tends to be a bit more straightforward on the ACT.
The number of different math concepts that are tested in the ACT Math section is limited, yet there are almost unlimited ways that the test can ask students questions about those concepts. The important concepts in ACT are arithmetic, algebra, and geometry that comprise the test questions. Another important fact is how to translate a word question to a mathematical equation. I help students to refresh their memory on these concepts.
I can teach you Exponents, Expressions & Equations, Factors & Multiples, Fractions, Decimals, Percents, Order of Operations, Organize, Analyze & Graph Data, Patterns, Properties, Rational, Irrational, Real Numbers, Ratios & proportions, Slope, Squares & Square Roots, Coordinate Graphing, Absolute Value Equations/Inequalities, Basic Statistics Concepts, Exponents & Exponential Functions, Expressions & Equations, Factoring, Functions, Inequalities, Integers, Polynomials, Probability, Proportions, Quadratic Equations and Functions, Radical Expressions & Triangles, Rational Expressions & Equations, Real Numbers, Scientific Notation, Solving & Graphing Linear Equations, Systems of Equations/Inequalities and more.
Conic Sections, Equations and Inequalities, Exponential & Logarithmic Functions, Functions, Geometric Sequences & Series, Irrational & Complex Numbers, Matrices, Polynomial Functions, Probability, Quadratic Functions, Radical Functions, Rational Functions, Systems of Equations & Inequalities and more.
I have taken all calculus classes in university including Calculus III (Math 250) and advanced calculus (Math 350) at California State University (CSUN) and passed them with grade A, and I tutored a few of my classmates during the semester.
I have been playing chess since 1971 when I was nine years old. I got a gold medal in a chess tournament in the city I was living in Iran. I was a member of chess team all my high school years. It happened that I played twice with a gold medalist of Torrance and I won both time. I play chess online on a daily basis.
I have taken Differential Equations Math 280 at California State University (CSUN) and passed it with grade A, and I tutored a few of my classmates during the semester.
I have taken Discrete Math classes in California State University (CSUN) like Transition to higher Math (Math 320) covering logic, proving, set theory and probability (Math 340) about district probability and statistics and have passed both with grade A. Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic – do not vary smoothly in this way, but have distinct, separated values. Discrete mathematics therefore excludes topics in "continuous mathematics" such as calculus and analysis.
3D Coordinates ( In Space), Area, Surface Area & Volume, Classifying Triangles & Triangle Inequalities, Graphing Linear Equations, Loci and Transformations, Parallels & Transversals, Points, Lines, Angles & Planes, Polygons, Quadrilaterals, Reasoning and Proofs, Right Triangles, Vectors and more.
I have taken linear algebra Math 262 in California State University (CSUN) and passed it with grade A, and I tutored few of my classmates during the semester.
I have taken Physics courses in the university overseas and passed them all with grade A, and I tutored a few of my classmates during the semester. The Physics courses that I have taken have been accepted in the California State University (CSUN) as:
Physics 100A/AL and 100B/BL - General Physics I and II, a non-calculus based introductory physics sequence and their associated laboratories.
Physics 220A/AL and 220B/BL - Mechanics and Electricity & Magnetism, a calculus based introductory physics sequence and their associated laboratories intended for engineering majors.
The objective of pre-algebra is to prepare the student for the study of algebra.
Pre-algebra includes several broad subjects:
* Review of natural number arithmetic
* New types of numbers such as integers, fractions, decimals and negative numbers
* Factorization of natural numbers
* Properties of operations such as associativity and distributivity
* Simple (integer) roots and powers
* Rules of evaluation of expressions, such as operator precedence and use of parentheses
* Basics of equations, including rules for invariant manipulation of equations
* Understanding of variable manipulation
* Manipulation and arithmetic with the standard 4-quadrant Cartesian coordinate plane
Pre-algebra may include subjects from geometry, especially subjects that further understanding of algebra in applications to area and volume.
I have tutored many students. Some of the topics in precalculus are:
The slope of a Line, Linear Equations, Parallel and Perpendicular Lines, Applications of Lines and Slopes. The Definition of a Function, Evaluating a Function, Domain and Range. Evaluating a Function, Average Rate of Change, Even and Odd Functions. Arithmetic Combinations, Function Composition, Inverse Functions.
Shifting Graphs, Stretching, Compressing and Reflecting Graphs. The Graph of a Quadratic Function, Finding a Quadratic Function, Finding the Vertex, Optimizing Quadratic Functions. Introduction to Polynomial Functions and Their Graphs, The Real Zeros of a Polynomial Function, Polynomial Division, The Rational Zero Theorem, Complex Numbers, The Fundamental Theorem of Algebra.
Introduction to Rational Functions, ketching the Graph of a Rational Function.
Compound Growth, The Exponential Function, Logarithms, The Logarithm Function, Equations involving Exponents and Logarithms, Three Important Logarithm Properties. Systems of Linear Equations, Other Systems of Equations, Systems of Inequalities. Matrix Arithmetic, Row Operations and Inverses, Matrices and System of Equations, The Determinant of a Matrix. Parabolas, Circles, Ellipses, Hyperbolas, Equations in Other Forms. The Unit Circle, Angles, Trigonometric Functions, Graphs of Trigonometric Functions, The Laws of Sines and Cosines, Trigonometric Identities. The nth Term of a Sequence, Partial Sums for a Sequence, Arithmetic and Geometric Sequences, Payments and Geometric Sequences.
I have taken probability (Math 340) at California State University (CSUN) and passed it with grade A, and I tutored a few of my classmates during the semester.
The number of different math concepts that are tested in the SAT Math section is limited, yet there are almost unlimited ways that the test can ask students questions about those concepts. The important concepts in SAT are arithmetic, algebra, and geometry that comprise the test questions. Another important fact is how to translate a word question to a mathematical equation. I help students to refresh their memory on these concepts.
Questions on SAT II Subject Test in Math, Level 1 or Level 2 are similar in style to the regular SAT Math questions, but they also include more advanced topics in math.
I am well versed in the following:
Angles,Arcs and Sectors, Complex Number Conjugates, Complex Numbers, Conic Sections, Ratio and Proportion, Definition of the Trigonometric Functions of an Acute angle, Trigonometry of Right Triangles, The Isosceles right Triangle, The 30-60-90 Degree Triangle, Solving Right Triangles, The law of Cosines, The Law of sins, the Circle, The Definition of PI and Evaluating it, The area of a Circle (The Method of Rearranging), Angles and Their Measurements, Radian Measure, Arc Length, Analytic Trigonometry, The Unit Circle, Trigonometric Functions of Any Angle, The Line Values of sin (x), cos(x), tan(x), cot(x), Graph of The Trigonometric Functions, Zeros of a function, Inverse Trigonometric Functions (arcsin(x), arcos(x), arctan(x), arccot(x), arcsec(x), arccsc(x)), Trigonometric Identities (Reciprocal Identities, Tangent and Cotangent Identities, Pythagorean Identities, Sum and Difference formulas, Double Angle Formulas, Half-angle Formulas, Products as sum, Sums as Product.) and more.