The educational encyclopedia, mathematics algebra animations and java applets

Interactive algebra tools are online programs that let learners work through algebraic problems and see the results visually. Instead of solving equations only on paper, students can enter expressions, adjust values, and watch how solutions and graphs change. This approach makes the abstract symbols of algebra more concrete and helps reveal the connection between an equation and the curve it represents.

A common use is solving equations. Online calculators can simplify expressions, factor polynomials, and solve linear and quadratic equations, often showing the intermediate steps so learners can follow the method. For quadratic equations, interactive tools can display the corresponding parabola and show how changing the coefficients moves and reshapes it. Tools for systems of equations let users see where graphs intersect, giving a visual meaning to the solution.

Graphing utilities are central to interactive algebra. By plotting functions and allowing parameters to be varied with sliders, they show how the graph of a function responds to each change, linking algebraic form to geometric shape. This immediate feedback supports both practice and exploration, letting learners test ideas and check answers. The mathematical content remains the same regardless of the technology used to deliver it; many such tools were originally built as Java applets, but the educational goal is to make algebra interactive and visual.

Frequently asked questions

How do interactive tools help with algebra?: They let learners enter expressions and adjust values, showing solutions and graphs change in real time and linking equations to their shapes.
What is a parabola?: A parabola is the U-shaped curve produced by a quadratic equation; interactive tools show how its shape and position depend on the coefficients.
Can these tools show solution steps?: Many online calculators display intermediate steps when solving or factoring, helping learners follow the method rather than just the final answer.

Mathematics java animations and applets:
Algebra	Geometry	Sorting methods
Fourier	Geometry 3D	Statistics
Fun	Integrals-differentiations	Trigonometry
General	Numbers	Vectors

Algebra

related subject: Algebra calculators

Algebra solutions negative numbers, round off numbers, square root, unit conversion - length, mass, volume, speed, power, temperature, rules for fractions, reducing to lowest term, prime factorization, laws of exponents, logarithm, solving equation with one variable, polynomial, solving quadratic equations, slope, Pythagorean theorem, interest, probability, triangle, circle, trapezoid, sphere, parallellogram

Graphics for the calculus classroom accuracy of the tangent line approximation to a smooth curve, computation of a volume by integrating cross-sectional areas, Archimedes calculation of PI, bouncing ball, geometric convergence of secant lines to the tangent line, zooming in on a tangent line, fundamental trigonometric limit, the limit, brief graphical exploration of a continuous, nowhere differentiable function, the appearance of the number e, intersection of two cylinders

Understanding algebra numbers of arithmetic, java equation solver, function plotter, factorization, prime factorization machine

Algebra topics

Algebraic function plotter this applet allows to enter and plot functions of one variable

Algebraic function plotter

Best fit of a line linear regression applet

Cartesian coordinates

Differentials and differences

Euler's equation applet demonstrates Taylor series expansion of complex exponentials

Exponential funtion Exponential funtion java applet

Fourier - Laplace this page computes the Fourier transform or Laplace transform of a function, and their inverse transforms

Function plotter

Functions and their inverses each graph shows a curve and the curve of its inverse function

Graph of a function resulting from adding up the first 11 terms of a power series

Graphical iteration

Inverse of a function

Krommen basisfuncties, transformaties, kegelsneden, animaties, differentialen, integralen, poolcoördinaten, afgeleiden, in Dutch

Linear Equations

Linear Equations Systems of Linear Equations, Graphs the two lines associated with a system of two linear equations in two variables, showing the solution of the system as the point where the lines intersect, down?

Linear Equations Solving Linear Systems by Graphing

Linear Equations

Lineair verband en grafiek y = ax + b, formule opstellen, in Dutch

Linear Functions How do changes in the values of m and b in the linear function f(x) = mx + b affect the graph?

Linear solver solves your linear systems, including systems with parameters

Line Graphing Applet A Java applet for graphing straight lines

MIDPOINT BETWEEN TWO LOCATIONS APPLET

Perpendicular lines

Polynomial of third order also function plotter

Quadratic Equations Solving Quadratic Equations

Quadratic Equations Equations like x²-2x-4 = 0 can be solved by plotting y = x2-2x-4 and seeing where the curve crosses the x axis

Quadratic Equations y=ax²+bx+c Investigate the effect of changing a, b or c

Quadratic forms, conics and eigenspaces Explore conic curves associated with 2x2 symmetric matrices. Discover the relationship between quadratic forms and conics using matrices, eigenvalues and eigenvectors

Separate x³ - y³ into two factors

Sequence plot if you want a visual indication of the convergence of a sequence or a series, this page is an ideal tool. You have only to enter the general term of your sequence or series, and get back the plot of its beginning terms

Tracés animés allows you to plot curves and surfaces,in 2D or 3D, which zooms, deforms and/or rotates in all directions

Tweedegraadsfuncties tweedegraadsfunctie f(x) = ax² + bx + c, in Dutch

Vision 4D plots hypersurfaces etc. in space-time of dimension 4

ax + by = c

y = af( bx )

y = f( x - h ) + k

y=|ax+1|, y=|x²+c|, y=|x+1)(x-1)(x-2)+c|, y=|sin(x)+c|

y=|ax+1| + |x-1|, y=|x+a| + |x-1|, y=a|x+1| + |x-1|, y=|x+1| + |x-1| + a

y=ax²+bx+c

y=|ax²+bx+c|

y=ax³+bx²+cx+d

y = a + b sin(k(x - c)) Role of a, b, k and c in y = a + b sin(k(x - c))