Aligned Resources

Explores derivatives and the idea of infinity using a geometric interpretation of slope.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Algebra, Calculus

Related Topics: calculus, derivative, differentiate, function properties, graph, linear equations, linear functions, slides, slope, tangent

Students learn about definite integrals through limits and Riemann sums

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Algebra, Calculus

Related Topics: area, calculus, estimation, function properties, functions, graph, infinity, integral, integrate, intervals

Manipulate different types of conic section equations on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph. Choose from vertical or horizontal parabola, circle, ellipse, and vertical or horizontal hyperbola.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Algebra, Geometry, Graphs

Related Topics: algebra, cartesian coordinate, circles, conic section, coordinate plane, ellipse, function properties, functions, graph, hyperbola, parabola, pre-calculus, radius, slides, translation

Explore cross sections of different geometric solids: cone, double cone, cylinder, pyramid, and prism. Manipulate the cross section with slider bars, and see how the graphical representation changes.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Algebra, Calculus, Geometry, Graphs

Related Topics: algebra, calculus, cartesian coordinate, circles, conic section, coordinate system, ellipse, flyer, graph, hyperbola, parabola, polygon, polyhedra, pre-calculus, prisms, pyramid, radius, rotation, transformation

Enter a set of data points, then derive a function to fit those points. Manipulate the function on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph.

Audiences: Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Algebra, Graphs, Modeling, Statistics, Trigonometry

Related Topics: algebra, cartesian coordinate, coordinate, coordinate plane, coordinate system, cosecant, cosine, cotangent, curve fitting, data plot, deviations, exponential, exponents, function properties, functions, graph, grouping, integers, intervals, inverse, linear equations, linear functions, logarithm, multiplication, parabola, polynomial, positive part of the operand, pre-calculus, range, secant, sine, slope, tangent, trigonometry

View the graph and the equation of the line tangent to any function at any point on the function.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Algebra, Calculus

Related Topics: calculus, cartesian coordinate, coordinate plane, derivative, differentiate, function properties, graph, linear equations, slides, slope, tangent

A more advanced version of Slope Slider, this activity allows the manipulation of the constants and coefficients in any function thereby encouraging the user to explore the effects on the graph of the function by changing those numbers.

Audiences: Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Algebra, Calculus, Graphs, Trigonometry

Related Topics: algebra, bell curve, calculus, cartesian coordinate, coordinate plane, coordinate system, cosine, decimals, exponential, flyer, function properties, functions, graph, intervals, inverse, linear equations, linear functions, lines, logarithm, parabola, polynomial, pre-calculus, range, sine, slope, tangent, translation, trigonometry

Students can create graphs of functions entered as algebraic expressions -- similar to a graphing calculator.

Audiences: Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Algebra, Calculus, Graphs, Trigonometry

Related Topics: algebra, calculus, cartesian coordinate, coordinate plane, cosecant, cosine, cotangent, functions, graph, inverse, linear equations, linear functions, logarithm, parabola, polynomial, positive part of the operand, pre-calculus, range, secant, sine, slope, tangent, trigonometry

Create graphs of functions and sets of ordered pairs on the same coordinate plane. This is like a graphing calculator with advanced viewing options.

Audiences: Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Algebra, Calculus, Graphs, Statistics, Trigonometry

Related Topics: algebra, calculus, cartesian coordinate, coordinate, coordinate plane, coordinate system, cosecant, cosine, cotangent, curve fitting, data plot, exponential, exponents, function properties, functions, graph, graph theory, intervals, linear equations, linear functions, logarithm, parabola, polynomial, positive part of the operand, pre-calculus, range, secant, sine, slope, tangent, trigonometry

InteGreat! allows the user to visually explore the idea of integration through approximating the integral value with partitions. The user controls the number of partitions, the upper and lower limits, and the method used to estimate the integral.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Algebra, Calculus, Graphs

Related Topics: area, calculus, estimation, function properties, functions, graph, infinity, integral, integrate, intervals, limit

Enter a set of data points and a function or multiple functions, then manipulate those functions to fit those points. Manipulate the function on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph.

Audiences: Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Algebra, Calculus, Modeling, Statistics, Trigonometry

Related Topics: algebra, calculus, cartesian coordinate, coordinate, coordinate plane, coordinate system, cosecant, cosine, cotangent, curve fitting, data plot, deviations, flyer, function properties, functions, graph, linear functions, logarithm, parabola, polynomial, pre-calculus, secant, sine, slides, slope, squares, tangent, trigonometry

Students create linear inequalities and systems of linear inequalities on a coordinate plane. This is like a graphing calculator with advanced viewing options.

Audiences: Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Algebra

Related Topics: algebra, cartesian coordinate, coordinate plane, data plot, function properties, functions, graph, inequality, intervals, linear equations, linear functions