David M. LeeIL Certified K-12 Math Tutor 847-910-1435 dml@davidmlee.netFor PayPal or credit card payments,please click the icon below |

--place value

--types of numbers such as integers, rational, irrational, whole and imaginary.

--clock problems

--basic operations of numbers (addition, subtraction, multiplication and division)

--order of operations

--number theory, divisibility rules, factors and multiples

--prime and composite numbers

--prime factorization

--lowest common multiples (LCM) and greatest common factor (GCF)

--fractions and reducing fractions to lowest terms

--adding, subtracting, multiplying and dividing fractions

--complex fractions

--improper fractions and mixed numbers

--evaluating expressions or solving for x using fractions

--decimals, converting fractions to decimals and operations with decimals

--ratio, proportion and percent

--application of percents

--percent increase and percent decrease

--basic statistics---organization of data, averages, range, median and mode

--average formula (needs use of Algebra)

--permutations, combinations and the fundamental counting principle

--simple probability

--data collection

--Number problems and multi-step problem solving

--Negative and positive numbers

--working with inequalities

--absolute value

--scientific notation

--rational vs. irrational numbers

--geometric and arithmetic sequences

BEGINNING ALGEBRA –10 QUESTIONS

--constants and variables

--similar terms and simplification

--equations including linear equations with one variable

--average formula

--evaluating algebraic expressions by substituting in values for variables and solving

--polynomials and roots of polynomials

--operations with polynomials

--difference of squares

--sum and differences of cubes

--factoring trinomials in the form of Ax2 + Bx + C = 0

--quadratic equations and finding solutions by factoring

--quadratic formula

--quadratic inequalities

--completing the square

--word problems using algebra

--rules of exponents and radicals

--square and cube roots and approximations

--simplifying radicals

--operations with radicals

--systems of equations

--solving systems of linear equations by substitution

--using variables to express functional relationships

--matrix multiplication

--real v. Imaginary numbers

--complex numbers

COORDINATE GEOMETRY AND INTERMEDIATE ALGEBRA 9 QUESTIONS

--graphing and plotting points

--relationship between equations and graphs

--graphing inequalities

--applying the quadratic formula

--distance formula using coordinates

--mid point formula using coordinates

--linear equations

--equation of lines

--slope-intercept form Y = mX + b

--finding slope given only two points

--slopes of parallel and perpendicular lines

--conic sections and all the formulas

--functions (exponential, logarithmic and inverse)

--systems of equations or linear algebra

--graphing inequalities

--sequence and series

--progressions and patterns

--binomial theorem

--algebraic problems involving inequalities and absolute value

GEOMETRY 14 questions

--parallel and perpendicular lines

--theorems involving transversals and parallel lines

--angles and types of angles

--polygons

--types of triangles

--triangle inequality theorem and other formulas involving triangles

--quadrilaterals, esp. trapezoids. Every ACT has a trapezoid question

--30-60-90 right triangles

--45-45-90 right triangles

--Pythagorean triples

--perimeter and area

--circles---must know formula for area of circle

--triangles within circles

--difference of areas of inscribed and circumscribed squares about circles.

--similarity and congruence

--sum of exterior angles of regular polygon theorem

--number of diagonals in polygon theorem

--3 dimensional figures.

TRIGONOMETRY only 4 questions

--Converting degrees to radians

--Values of special angles

--SOHCAHTOA

--graphs of trigonometric functions and interpreting their behavior

--inverse trigonometric functions

--trigonometric identities

--applying trigonometric functions to right triangles

Specializing in ACT Math Test Prep |