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# Goal of the website

## Content includes

The goal of this math leaning website is: Serve as a math learning tool for all students, parents and teachers. Learning mathematics by understanding principle and examples. Apply math concepts to solve real world problems. Help middle school students prepare for high school. Help high school students prepare for college. Improve studentâ€™s math testing score in standard tests. Help studentâ€™s success in college study.

**Prealgebra** prime numbers, prime factoring, common factors, greatest common factor (GCF), simplify fraction, equivalent fractions, complex fraction when numerator is a fraction,
complex fraction when denominator is a fraction, complex fraction when both numerator and denominator are fractions, least common multiple (LCM), least common denominator (LCD),
compare fractions with common denominators, compare fractions with different denominators, compare fractions with same numerators and different denominators,
improper fraction to mixed number, mixed number to fraction, add fractions with the same denominator, add fractions with different denominators, add mixed numbers with the same denominator,
add mixed number with different denominators, subtract fraction with the same denominator, subtract fractions width different denominators, subtract mixed number with the same denominator,
subtract mixed number with different denominators, multiply fractions, multiply fraction by mixed number, multiply mixed numbers, divide a whole number by a fraction,
divide a fraction by a fraction, divide a fraction by a mixed number, divide mixed number by mixed number, rational numbers, positive exponents and zero exponent, negative exponents.

**Algebra **translate words into algebra expression, first degree equation examples, polynomials, polynomial multiplication, polynomial divide by monomial,
algebra of fractions, complex fractions, one variable equations, two variable equations, inequalities, absolute value equation, first degree inequality, absolute value inequality,
quadratic equation, radical equation, sequence, inverse function, quadratic absolute value inequality.

**Geometry** points, midpoint, lines, parallel lines, perpendicular lines, angle and angle pairs, angle measure, right angle, acute angle, obtuse angle, straight angle, adjacent angles,
vertical angles, complementary angles, supplementary angles, corresponding angles, alternate interior angles, consecutive interior angles, testing parallel lines, testing perpendicular lines,
triangle, interior angles of a triangle, exterior angle of a triangle, equilateral triangle, isosceles triangle, scalene triangle, right triangle, obtuse triangle, acute triangle, equiangular triangle,
altitudes, medians and angle bisectors of a triangle, congruent triangles, similar triangles, triangle inequality theorem, quadrilaterals, parallelogram, special parallelogram, square, polygon.

**Coordinate Geometry** orthogonal plane, area of a triangle, Line equations, circle, lines and points, find analytical expression of a function from its graph, orthogonal plane examples,
coordinate example, find the shortest segment, find area of the triangle, is a point inside a circle? is a point outside a circle? is a point on a circle? is a line intersecting a circle? is a line tangent a circle? is a line separate from a circle?
are two circles intersecting? are two circles tangent to each other? are two circles separate from each other? find chord length, find line equation, find line equation if it tangent a circle and perpendicular to another line,
find analytical expression of inverse function and line function, find analytical expression of a quadratic function.

**Trigonometry** quadrant angles, degree, radian and sector, any angle trigonometric functions, values of trigonometric function of special angles, graphs of Sine function and transformation,
graphs of Cosine function and transformation, trigonometry function examples, find the maximum value of a function in an interval, sine function properties, graph of a sine function examples,
logarithms definition example, logarithms equation example, parabola example, analytical geometry examples, application of parabola and hyperbola.

**Asked Questions** algebra expression, algebra equation, remove square root, quadratic equation, adjacent angle pairs, adjacent angles formed by perpendicular lines,
adjacent angles formed by intersected lines, interior and exterior points of circle, graph of sine and cosine function, graph of y = sin (x - pi), draw the graph of y = -2 sin (x - pi/4),
draw the graph of Sine square x, draw the graph of y = sin (3pi x), draw the graph of y = sin (x/3), draw the graph of y = 1/2sin (x pi/2), graph of y=2sin(x) and y=2cos(x),
graph of y = cos (2 x pi/2), graph of y = 1 - cos (pi/4 - x), draw the graph of y = cos2x, graphs of y = sin(x) and y = csc(x), graph of y = csc4(x 3pi/2),
graph of y = cot (x - pi/4), -cotangent(2(pi/4)), finding the value of tan (-945 degree), what is the formula of the tangent angles sum?

**Probability** probability event, probability definition, formula to solve probability problems, using table to solve probability problems, using tree to solve probability problems.

**Algebra 1 Video Lessons** translate word sentence into algebra expressions, translate word problems and solve equations, examples of word problem solving,
one variable equation examples, two variables one-degree equations, number problem solving, inequality problem solving, polynomial, fraction equation, polynomial concept.

**Geometry Video Lessons** line segments, line and angles, parallel and angles, lines, triangle and angles, parallel lines, angle bisector and triangle, interior angles in a triangle,
exterior angle of a triangle, isosceles triangles, triangles, right triangles, circles, circle triangle, rectangles, area of an obtuse triangle, area of an equilateral triangle,
area of a triangle, area of a bow, congruent triangles, similar triangles, ratio, cylinder and sphere, orthogonal plane, coordinate plane, shortest segment.

**Algebra 2 Video Lessons** roots of quadratic equation, solving quadratic equations, property of quadratic functions, find property of the parabola from its graph, quadratic equation variable substitution method,
quadratic equation factoring method, variable substitution example, solve quadratic equation by root extraction method, solve quadratic equation by factoring method,
solve quadratic equation by completing square method, prove that the value of a polynomial is always larger than zero, solve quadratic equation using formula method,
find the quadratic equation when given two solutions, draw the graph of the quadratic function, relationship between the graph of a quadratic function and its coefficients,
transform graph of a quadratic function, find the quadratic function by three points on the graph, find the quadratic function from graph, find the domain of a function,
find the domain of a function involved in logarithm, find the value of an inverse function, solve a function equation to find f(x).

**Trigonometry Video Lessons** any angle trigonometry functions, given the angle a and find sin(a), given cos (a) = -3/5 and find tan(a), given tan (A) = -4/3 and find sin(A),
given cos100^{o} and find sin10^{o}, given angle a and find tan (pi/4 - 2a), given tan (pi - 2a) = -13/12 and find tan a, given tan a = -3/4 and find cos a, given P (-1, y) and sin a and find y,
draw the graph of sine functions, draw the graph of y = sin x when x is from -pi to pi, draw the graph of y = sin x and x is from 0 to 2pi, draw graph of y = sin2x, draw graph of y = sin(x/2),
draw y = sin (x + pi/4) and y = sin (x - pi/2), draw graph of y = sin (2x - pi/4), draw graph of y = sin (2x + pi/4), draw the graph of y = sin (2x - pi/3), simplify sin (2x/3 + 3pi/2),
draw the graph of y = cos (x) sin(x), draw graph of y = sin (2x + pi/6) - cos^{2}x, property of a Sine Graph, f(x) = sin (2x + pi/4) is symmetry to, decrease interval of y = sin (2x + pi/4),
find the monotonic increase interval of a function, find properties of y = 2 sin (x/2 + pi/4), transform graph y = sin (x) to y = sin (x/2 - pi/6), write functions based on wave transformation,
shift and shrink y = sin (2x - pi/6) and find the function, write analytical expression of a sine graph, solving a simple harmonic motion problem, angle between the positive x-axis and a line,
draw the graph of cosine functions, draw the graph of tan x, find maximum and minimum values of a function, trigonometry equation, find the angle alfa.

**Analytical Geometry Video Lessons** ellipse examples, hyperbola examples, parabola examples

**Solid Geometry Video Lessons** concepts of lines and planes, cubes, rectangle prism, pyramid, regular tetrahedron, volume of solid, sphere and solid, plane line and angles inside a cube,
find the longest diagonal of the rectangle prism, prove a line parallel to a plane, find angle between line and plane in pyramid, find the altitude of a tetrahedron, Find the height of a regular tetrahedron,
find angle between two faces in a regular tetrahedron, find angle between edge and a plane in a regular tetrahedron, find volume of a pyramid, find height of pyramid when volume maximum,
regular triangular prism and sphere, cube and sphere, sphere and equilateral triangle, regular triangular prism and sphere.