Activities
Algebra • Calculus • Discrete • Fractions • Geometry • Graphs • Modeling • Number and Operations • Probability • Statistics • Trigonometry • Other • Science • Show All
Algebra (...)
Build your own polygon and transform it in the Cartesian coordinate system. Experiment with reflections across any line, revolving around any line (which yields a 3-D image), rotations about any point, and translations in any direction.
Related Topics: angles, calculus, coordinate, coordinate plane, coordinate system, flips, geometry, glides, graph, polygon, polyhedra, reflections, rotation, symmetry, transformation, translation, transpose
Students play a generalized version of connect four, gaining the chance to place a piece on the board by solving an algebraic equation. Parameters: Level of difficulty of equations to solve and type of problem. Algebra Four is one of the Interactivate assessment games.
Related Topics: algebra, inverse, linear equations, quadratic, solving equations
Test your algebra skills by answering questions. This quiz asks you to solve algebraic linear and quadratic equations of one variable. Choose difficulty level, question types, and time limit. Algebra Quiz is one of the Interactivate assessment quizzes.
Related Topics: addition, algebra, assessment, distributive, division, exponents, fractions, integers, inverse, linear equations, multiplication, negative number, polynomial, quadratic, solving equations, subtraction
Create your own affine cipher for encoding and decoding messages. Input your own constant and multiplier, then input a message to encode.
Related Topics: addition, arithmetic, cipher, cryptography, division, modular, multiplication, pattern, remainders
Encode and decode messages to determine the form for an affine cipher. Input a message to encode, then input your guesses for the constant and multiplier. Caesar Cipher II is one of the Interactivate assessment explorers.
Related Topics: addition, arithmetic, assessment, cipher, cryptography, division, modular, multiplication, pattern, remainders
Decode encrypted messages to determine the form for an affine cipher, and practice your reasoning and arithmetic skills. Input your guesses for the multiplier and constant. Caesar Cipher III is one of the Interactivate assessment explorers.
Related Topics: addition, arithmetic, assessment, cipher, cryptography, division, functions, modular, multiplication, pattern, remainders
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.
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.
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.
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.
Related Topics: calculus, cartesian coordinate, coordinate plane, derivative, differentiate, function properties, graph, linear equations, slides, slope, tangent
This activity helps you understand how to balance an equation. You input the term and the operation. The activity uses that term and operates on both sides of the equation. It then displays the resulting equation. Equation Solver is one of the Interactivate assessment explorers.
Related Topics: addition, algebra, assessment, division, fractions, identity, integers, inverse, linear equations, multiplication, solving equations, subtraction
Students play a generalized version of connect four, gaining the chance to place a piece after simplifying fractions, converting fractions to decimals and percentages, and answering algebra questions involving fractions. Choose difficulty level, question types, and time. Fraction Four is one of the Interactivate assessment games.
Related Topics: addition, algebra, arithmetic, assessment, decimals, division, fractions, mixed numbers, multiplication, percentages, percents, rational numbers, solving equations, subtraction
Test your fraction skills by answering questions. This quiz asks you to simplify fractions, convert fractions to decimals and percentages, and answer algebra questions involving fractions. Choose difficulty level, question types, and time. Fraction Quiz is one of the Interactivate assessment quizzes.
Related Topics: addition, algebra, arithmetic, decimals, division, divisors, fractions, integers, mixed numbers, multiplication, percentages, percents, subtraction
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.
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 investigate very simple functions by trying to guess the algebraic form from inputs and outputs. Function Machine is one of the Interactivate assessment explorers.
Related Topics: addition, algebra, arithmetic, assessment, function machine, functions, input, integers, linear equations, multiplication, output, subtraction
Investigate the Cartesian coordinate system through identifying the coordinates of a randomly generated point, or requesting that a particular point be plotted. General Coordinates Game is one of the Interactivate assessment explorers.
Related Topics: algebra, assessment, cartesian coordinate, coordinate, coordinate plane, coordinate system, graph
Students can create graphs of functions entered as algebraic expressions -- similar to a graphing calculator.
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.
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
This applet allows the user to make observations about the relationship between speed and position and how both of these are affected by initial velocity and the incline on which the biker is traveling.
Related Topics: algebra, distance, functions, graph, parabola, pre-calculus, scale, simulation
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.
Related Topics: area, calculus, estimation, function properties, functions, graph, infinity, integral, integrate, intervals, limit
Students investigate linear functions by trying to guess the slope and intercept from inputs and outputs. Linear Function Machine is one of the Interactivate assessment explorers.
Related Topics: addition, algebra, arithmetic, assessment, function machine, functions, input, integers, linear functions, multiplication, output, pattern, slope
Students create linear inequalities and systems of linear inequalities on a coordinate plane. This is like a graphing calculator with advanced viewing options.
Related Topics: algebra, cartesian coordinate, coordinate plane, data plot, function properties, functions, graph, inequality, intervals, linear equations, linear functions
Investigate the Cartesian coordinate system by directing a robot through a mine field laid out on the plane. Maze Game is one of the Interactivate assessment explorers.
Related Topics: assessment, cartesian coordinate, coordinate, coordinate plane, coordinate system, graph
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.
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 compare multiple independent variables as predictors of one dependent variable. Students explore correlation and lines of best-fit.
Related Topics: algebra, cartesian coordinate, coordinate, coordinate plane, coordinate system, data plot, deviations, flyer, functions, graph, linear functions, squares
Similar to the original "Function Machine" but lists input and output in a table and will not let the user attempt to guess the rule without having at least two data points. Number Cruncher is one of the Interactivate assessment explorers.
Related Topics: addition, algebra, arithmetic, assessment, data plot, function machine, functions, input, linear functions, multiplication, output, solving equations, subtraction
Plot ordered pairs on the graph, and they will be connected in the order that they are input. This enables you to decide how the pairs should be connected, rather than having the computer connect them from left to right.
Related Topics: cartesian coordinate, coordinate, coordinate plane, coordinate system, data plot, graph, lines, vertical line test
This activity allows the user to explore the polar coordinate system. The applet is similar to GraphIt, but instead allows users to explore the representation of a function in the polar coordinate system.
Related Topics: calculus, coordinate plane, coordinate system, cosine, data plot, graph, polar coordinates, pre-calculus, sine, tangent, trigonometry
Students investigate linear functions with positive slopes by trying to guess the slope and intercept from inputs and outputs. Positive Linear Function Machine is one of the Interactivate assessment explorers.
Related Topics: addition, algebra, arithmetic, assessment, function machine, functions, input, integers, linear equations, linear functions, multiplication, output, pattern, slope, solving equations
Review the properties of functions by looking at ten different curves and deciding whether or not they meet the criteria for a graph of a function. This activity simply displays the curves - it does not quiz the user.
Related Topics: coordinate plane, function properties, functions, graph, linear functions, lines, pre-calculus, vertical line test
Graph recursive functions by defining f(0)=C and defining f(n) based on f(n-1).
Related Topics: algebra, arithmetic sequences, cartesian coordinate, coordinate plane, functions, geometric sequences, graph, iteration, recursion, recursive functions, sequences
Plot a bivariate data set, determine the line of best fit for their data, and then check the accuracy of your line of best fit.
Related Topics: calculus, cartesian coordinate, coordinate plane, correlation, curve fitting, data plot, deviations, residual, statistics
Graph ordered pairs and customize the graph title and axis labels. Points are connected from left to right, rather than being connected in the order they are entered.
Related Topics: cartesian coordinate, coordinate, coordinate plane, data plot, graph, statistics
Learn about number patterns in sequences and recursions by specifying a starting number, multiplier, and add-on. The numbers in the sequence are displayed on a graph, and they are also listed below the graph.
Related Topics: addition, arithmetic, arithmetic sequences, cartesian coordinate, coordinate plane, decimals, geometric sequences, graph, iteration, multiplication, pre-calculus, recursion, recursive functions, sequences
Investigate the first quadrant of the Cartesian coordinate system through identifying the coordinates of randomly generated points, or requesting that a particular point be plotted. Simple Coordinates Game is one of the Interactivate assessment explorers.
Related Topics: algebra, cartesian coordinate, coordinate, coordinate plane, coordinate system, graph, integers
Investigate the first quardant of the Cartesian coordinate system by directing a robot through a mine field laid out on the grid. Simple Maze Game is one of the Interactivate assessment explorers.
Related Topics: algebra, cartesian coordinate, coordinate, coordinate plane, coordinate system, distance, graph
Plot ordered pairs of numbers, either as a scatter plot or with the dots connected. Points are connected from right to left, rather than being connected in the order they are entered.
Related Topics: cartesian coordinate, coordinate plane, coordinate system, data plot, decimals, graph
Similar to other "flyers", Slope Slider uses slider bars to explore the effect of the multiplier and constant on a linear function of the form f(x)=mx+b. Explore the relationship between slope and intercept in the Cartesian coordinate system.
Related Topics: algebra, cartesian coordinate, coordinate plane, decimals, flyer, fractions, function properties, functions, graph, intercept, linear equations, linear functions, slides, slope
Enter two complex numbers (z and c) as ordered pairs of real numbers, then click a button to iterate step by step. The iterates are graphed in the x-y plane and printed out in table form. This is an introduction to the idea of prisoners/escapees in iterated functions and the calculation of fractal Julia sets.
Related Topics: complex number, coordinate plane, coordinate system, exponents, fractals, functions, graph, infinity, iteration, julia set, mandelbrot set, recursion, recursive functions, sets
Learn about the vertical line test for functions by trying to connect points in the plane to build a function. When you have connected all of the points, you will be told if your graph is a valid graph of a function. Vertical Line Test is one of the Interactivate assessment explorers.
Related Topics: assessment, cartesian coordinate, coordinate plane, function properties, functions, graph, lines, pre-calculus, vertical line test
Give input to the Whole Number Cruncher and try to guess what it did from the output it generates. This activity only generates multiplication and addition functions to avoid outputting any negative numbers. Whole Number Cruncher is one of the Interactivate assessment explorers.
Related Topics: addition, algebra, arithmetic, assessment, coordinate, function machine, functions, input, linear equations, linear functions, multiplication, output, pattern, solving equations, whole numbers
Calculus (...)
Build your own polygon and transform it in the Cartesian coordinate system. Experiment with reflections across any line, revolving around any line (which yields a 3-D image), rotations about any point, and translations in any direction.
Related Topics: angles, calculus, coordinate, coordinate plane, coordinate system, flips, geometry, glides, graph, polygon, polyhedra, reflections, rotation, symmetry, transformation, translation, transpose
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.
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
View the graph and the equation of the line tangent to any function at any point on the function.
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.
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
This activity allows the user to find the volume and surface area of various functions as they are rotated around axes. This applet can be used to practice finding integrals using the disk and washer methods of calculating volume.
Related Topics: calculus, cartesian coordinate, coordinate plane, coordinate system, cosine, functions, graph, sine
Students can create graphs of functions entered as algebraic expressions -- similar to a graphing calculator.
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.
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.
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.
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
This activity allows the user to plot ordered pairs and parametric equations on the same coordinate plane. The applet is similar to GraphIt, but instead allows users to explore the parametric representation of a function.
Related Topics: calculus, coordinate plane, coordinate system, functions, graph, parametric equations, pre-calculus
This activity allows the user to explore the polar coordinate system. The applet is similar to GraphIt, but instead allows users to explore the representation of a function in the polar coordinate system.
Related Topics: calculus, coordinate plane, coordinate system, cosine, data plot, graph, polar coordinates, pre-calculus, sine, tangent, trigonometry
Experiment with a simple ecosystem consisting of grass, rabbits, and wolves, learning about probabilities, chaos, and simulation.
Related Topics: agent modeling, calculus, chaos, graph, iteration, pattern, predator-prey, probability simulation, random number, simulation, statistics
Plot a bivariate data set, determine the line of best fit for their data, and then check the accuracy of your line of best fit.
Related Topics: calculus, cartesian coordinate, coordinate plane, correlation, curve fitting, data plot, deviations, residual, statistics
Discrete (...)
Students run a simulation of how a fire will spread through a stand of trees, learning about probability and chaos. Parameters: Forest density, wind direction, size of forest.
Related Topics: agent modeling, chaos, conditional probability, experimental probability, iteration, percentages, percents, probability simulation, proportion, simulation, skewed distribution, variance
Create a game spinner with variable sized sectors to look at experimental and theoretical probabilities. Parameters: Sizes of sectors, number of sectors, number of trials.
Related Topics: angles, circle graph, circles, counting, decimals, events, experimental probability, fair, geometric probability, outcomes, percentages, percents, pie chart, probability simulation, simulation, spinner, statistics, theoretical probability
Choose one of N doors to experimentally determine the odds of winning the grand prize behind one of the doors, as in the TV program "Let's Make a Deal." Parameters: Number of doors, number of trials, staying or switching between the two remaining doors.
Related Topics: bar graph, conditional probability, events, experimental probability, fair, monty hall, outcomes, probability simulation, simulation, statistics, trials
Students work step-by-step through the generation of a different Hilbert-like Curve (a fractal made from deforming a line by bending it), allowing them to explore number patterns in sequences and geometric properties of fractals.
Related Topics: decimals, fractals, fractions, geometric sequences, geometry, iteration, length, pattern, self-similarity, sequences, surface area, symmetry
Students play a generalized version of connect four, gaining the chance to place a piece on the board by answering arithmetic questions (addition, subtraction, multiplication, division). Parameters: time, difficulty level, types of questions. Arithmetic Four is one of the Interactivate assessment games.
Related Topics: addition, arithmetic, division, integers, multiplication, negative number, positive number, positive part of the operand, subtraction, whole numbers
Arithmetic Quiz gives the user randomized questions to answer on arithmetic with whole numbers and integers. Parameters: Level of difficulty and types of questions. Arithmetic Quiz is one of the Interactivate assessment quizzes.
Related Topics: addition, arithmetic, assessment, associative, commutative, division, integers, multiplication, negative number, positive number, positive part of the operand, subtraction, whole numbers
Experiment with a simulation to get an approximation of Pi by dropping a needle on a lined sheet of paper.
Related Topics: angles, area, circumference, experimental probability, polygon, probability simulation, simulation
Create your own affine cipher for encoding and decoding messages. Input your own constant and multiplier, then input a message to encode.
Related Topics: addition, arithmetic, cipher, cryptography, division, modular, multiplication, pattern, remainders
Encode and decode messages to determine the form for an affine cipher. Input a message to encode, then input your guesses for the constant and multiplier. Caesar Cipher II is one of the Interactivate assessment explorers.
Related Topics: addition, arithmetic, assessment, cipher, cryptography, division, modular, multiplication, pattern, remainders
Decode encrypted messages to determine the form for an affine cipher, and practice your reasoning and arithmetic skills. Input your guesses for the multiplier and constant. Caesar Cipher III is one of the Interactivate assessment explorers.
Related Topics: addition, arithmetic, assessment, cipher, cryptography, division, functions, modular, multiplication, pattern, remainders
Learn about fractions between 0 and 1 by repeatedly deleting portions of a line segment, and also learn about properties of fractal objects. Parameter: fraction of the segment to be deleted each time.
Related Topics: fractals, fractions, geometric sequences, pattern, pre-calculus, recursion, sequences, sets
Work with various types of clocks in order to learn about modular arithmetic operations. Parameters: Number of hours on the clock.
Related Topics: addition, division, elapsed time, modular, multiplication, remainders, time
Simulation of a coin toss allowing the user to input the number of flips. Toss results can be viewed as a list of individual outcomes, ratios, or table.
Related Topics: counting, events, experimental probability, fair, flips, outcomes, percentages, probability simulation, proportion, theoretical probability, theoretical value
Color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that are multiples of the number rolled, thereby practicing multiplication tables, investigating number patterns, and investigating fractal patterns. Coloring Multiples in Pascal's Triangle is one of the Interactivate assessment explorers.
Related Topics: algebra, combinatorics, division, divisors, factors, fractals, integers, multiples, pascal's triangle, pascals triangle, pattern, triangle, whole numbers
Color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that have the same remainder when divided by the number rolled, thereby practicing division and remainders, investigating number patterns, and investigating fractal patterns. Coloring Remainders in Pascal's Triangle is one of the Interactivate assessment explorers.
Related Topics: algebra, combinatorics, division, divisors, factors, fractals, integers, modular, pascal's triangle, pascals triangle, pattern, remainders, triangle, whole numbers
Compare theoretical and experimental probabilities, using dice, cards, spinners, or coin tosses. Three different probabilities can be compared at once. Parameters: Type of probabilities, number of trials.
Related Topics: combinatorics, events, experimental probability, outcomes, probability simulation, random number, theoretical probability
Experiment with the outcome distribution for a roll of two dice by simulating a dice throwing game. Parameters: Which player wins with which total rolled.
Related Topics: combinatorics, decimals, events, experimental probability, fair, fractions, outcomes, percentages, percents, probability simulation, proportion, random number, statistics, theoretical probability, theoretical value
Run a simulation of how a fire will spread through a stand of trees, learning about probability and chaos. Parameters: Probability that a tree will set fire to each of its eight neighbors.
Related Topics: agent modeling, chaos, events, experimental probability, geometric probability, percentages, percents, probability simulation, proportion, recursion, simulation, statistics, theoretical probability, variance
Experiment with probability using a fixed size section spinner, a variable section spinner, two
regular 6-sided dice or customized dice.
Related Topics: circles, events, experimental probability, fair, fractions, geometric probability, outcomes, percentages, probability simulation, random number, simulation, spinner, statistics, theoretical probability, theoretical value, trials
Visualize factors through building rectangular areas on a grid. First enter all the factorizations of a number, then draw each factor set as an area on the grid. Factorize is one of the Interactivate assessment explorers.
Related Topics: area, arithmetic, assessment, commutative, divisors, factors, grouping, multiples, multiplication, rectangles, whole numbers
Visualize factors through building rectangular areas on a grid. As you draw each factor set on the grid, the factors will be listed. Factorize 2 is one of the Interactivate assessment explorers.
Related Topics: area, assessment, commutative, division, divisors, factors, multiples, multiplication, rectangles, whole numbers
Run a simulation of how a fire will spread through a stand of trees, learning about probability and chaos. Parameters: Probability that a tree catches fire if its neighbor is on fire.
Related Topics: agent modeling, chaos, decimals, events, experimental probability, outcomes, percentages, percents, proportion, simulation, squares, theoretical probability, variance
Determine the fractal dimensions of several line-deformation fractals. Input the scale factor and number of similar copies, and the dimension will be calculated. Fractal Dimensions is one of the Interactivate assessment explorers.
Related Topics: chaos, fractals, logarithm, pattern, scale, self-similarity
Generate complicated geometric fractals by specifying starting polygon and scale factor.
Related Topics: fractals, geometry, logarithm, polygon, recursion, scale, self-similarity
Students investigate very simple functions by trying to guess the algebraic form from inputs and outputs. Function Machine is one of the Interactivate assessment explorers.
Related Topics: addition, algebra, arithmetic, assessment, function machine, functions, input, integers, linear equations, multiplication, output, subtraction
Run a simulation to generate results from running the Monty Hall for multiple trials. This is similar to the game show "Let's Make A Deal", where you choose one of N doors in hopes of finding a grand prize behind one of the doors. Parameters: Number of doors, number of trials, staying, or switching between the two remaining doors.
Related Topics: conditional probability, events, experimental probability, fair, monty hall, outcomes, probability simulation, random number, simulation, theoretical probability, theoretical value, trials
Step through the generation of a Hilbert Curve -- a fractal made from deforming a line by bending it, and explore number patterns in sequences and geometric properties of fractals.
Related Topics: chaos, fractals, geometric sequences, geometry, iteration, length, lines, pattern, recursion, self-similarity, sequences
Enter a complex value for "c" in the form of an ordered pair of real numbers. The applet draws the fractal Julia set for that seed value.
Related Topics: complex number, coordinate plane, coordinate system, fractals, iteration, julia set, mandelbrot set, recursion, recursive functions, sets
Step through the generation of the Koch Snowflake -- a fractal made from deforming the sides of a triangle, and explore number patterns in sequences and geometric properties of fractals.
Related Topics: decimals, fractals, geometric sequences, infinity, iteration, lines, pre-calculus, recursion, self-similarity, sequences
Students investigate linear functions by trying to guess the slope and intercept from inputs and outputs. Linear Function Machine is one of the Interactivate assessment explorers.
Related Topics: addition, algebra, arithmetic, assessment, function machine, functions, input, integers, linear functions, multiplication, output, pattern, slope
Learn about sampling with and without replacement by randomly drawing marbles from a bag. Parameters: Number and color of marbles in the bag, replacement rule.
Related Topics: conditional probability, events, experimental probability, outcomes, percentages, probability simulation, probability with replacement, probability without replacement, random number, simulation, statistics, theoretical probability, trials
Visually explore counting and place value with different number bases, from base 2 to base 16, and up to the hundreds place using a clock like interface. The activity also allows you to look at the numbers on the clock in base 10 or in your other chosen base to explore the relationship between those values.
Related Topics: arithmetic, counting, exponents, modular
Similar to the original "Function Machine" but lists input and output in a table and will not let the user attempt to guess the rule without having at least two data points. Number Cruncher is one of the Interactivate assessment explorers.
Related Topics: addition, algebra, arithmetic, assessment, data plot, function machine, functions, input, linear functions, multiplication, output, solving equations, subtraction
Students investigate linear functions with positive slopes by trying to guess the slope and intercept from inputs and outputs. Positive Linear Function Machine is one of the Interactivate assessment explorers.
Related Topics: addition, algebra, arithmetic, assessment, function machine, functions, input, integers, linear equations, linear functions, multiplication, output, pattern, slope, solving equations
Review the properties of functions by looking at ten different curves and deciding whether or not they meet the criteria for a graph of a function. This activity simply displays the curves - it does not quiz the user.
Related Topics: coordinate plane, function properties, functions, graph, linear functions, lines, pre-calculus, vertical line test
Simulate a game where two players each roll a die, and the lucky player moves one step to the finish. Parameters: what rolls win and how many steps to the finish line.
Related Topics: circle graph, events, experimental probability, fair, geometric probability, percents, pie chart, probability, probability simulation, random number, theoretical probability, trials
Simulate a game where "N" players roll two dice, and the lucky player has an advantage for reaching the finish. Parameters: the number of players, number of trials and length of the race.
Related Topics: combinatorics, experimental probability, fair, outcomes, probability, probability simulation, random number, theoretical probability, trials
Graph recursive functions by defining f(0)=C and defining f(n) based on f(n-1).
Related Topics: algebra, arithmetic sequences, cartesian coordinate, coordinate plane, functions, geometric sequences, graph, iteration, recursion, recursive functions, sequences
Learn about number patterns in sequences and recursions by specifying a starting number, multiplier, and add-on. The numbers in the sequence are displayed on a graph, and they are also listed below the graph.
Related Topics: addition, arithmetic, arithmetic sequences, cartesian coordinate, coordinate plane, decimals, geometric sequences, graph, iteration, multiplication, pre-calculus, recursion, recursive functions, sequences
Step through the generation of Sierpinski's Carpet -- a fractal made from subdividing a square into nine smaller squares and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.
Related Topics: algebra, area, fractals, fractions, geometric sequences, iteration, pattern, pre-calculus, recursion, recursive functions, self-similarity, sequences
Step through the generation of Sierpinski's Triangle -- a fractal made from subdividing a triangle into four smaller triangles and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.
Related Topics: dimension, fractals, fractions, geometric sequences, geometry, iteration, length, pattern, pre-calculus, recursion, recursive functions, self-similarity, sequences, symmetry, triangle, triangles
Choose one of three doors to experimentally determine the odds of winning the grand prize behind one of the doors, as in the TV program "Let's Make a Deal." Parameters: Staying or switching between the two remaining doors.
Related Topics: conditional probability, events, experimental probability, fair, monty hall, outcomes, percents, probability, probability simulation, random number, statistics, strategy, theoretical probability
Create a game spinner with one to twelve sectors in order to look at experimental and theoretical probabilities. Parameters: Number of sectors, number of trials.
Related Topics: angles, circle graph, circles, events, experimental probability, fair, geometric probability, outcomes, percents, pie chart, probability, probability simulation, spinner, theoretical probability, theoretical value, trials
Explore perimeter through rectangular and straight-line arrangements of tables, calculating the number of chairs needed to surround different arrangements. Tables and Chairs is one of the Interactivate assessment explorers.
Related Topics: addition, agent modeling, arithmetic, associative, coordinate system, dimension, function properties, grouping, integers, multiples, perimeter, scale
Explore fractals by investigating the relationships between the Mandelbrot set and Julia sets.
Related Topics: chaos, complex number, coordinate, coordinate plane, exponents, fractals, functions, geometric sequences, geometry, iteration, julia set, mandelbrot set, pattern, recursion, recursive functions, self-similarity, sets
Step through the tortoise and hare race, based on Zeno's paradox, to learn about the multiplication of fractions and about convergence of an infinite sequence of numbers.
Related Topics: decimals, distance, fractals, geometric sequences, infinity, iteration, length, logarithm, multiplication, pattern, percentages, percents, proportion, rational numbers, recursion, recursive functions, self-similarity, sequences
Sort colored shapes into a three circle Venn Diagram.
Related Topics: pattern, sets, venn diagram
Choose one of three boxes and choose one ball from the box to look at conditional probabilities. Parameters: Number of trials.
Related Topics: conditional probability, events, experimental probability, outcomes, probability, probability simulation, probability without replacement, statistics, theoretical probability, theoretical value, trials
Sort colored shapes into a Venn diagram based on various characteristics. Venn Diagram Shape Sorter is one of the Interactivate assessment explorers.
Related Topics: pattern, sets, sorter, venn diagram
Classify various objects into categories in a Venn Diagram. Learn how categories in Venn Diagrams work. Venn Diagrams is one of the Interactivate assessment explorers.
Related Topics: assessment, sets, venn diagram
Learn about the vertical line test for functions by trying to connect points in the plane to build a function. When you have connected all of the points, you will be told if your graph is a valid graph of a function. Vertical Line Test is one of the Interactivate assessment explorers.
Related Topics: assessment, cartesian coordinate, coordinate plane, function properties, functions, graph, lines, pre-calculus, vertical line test
Give input to the Whole Number Cruncher and try to guess what it did from the output it generates. This activity only generates multiplication and addition functions to avoid outputting any negative numbers. Whole Number Cruncher is one of the Interactivate assessment explorers.
Related Topics: addition, algebra, arithmetic, assessment, coordinate, function machine, functions, input, linear equations, linear functions, multiplication, output, pattern, solving equations, whole numbers
Fractions (...)
Students play a generalized version of connect four, gaining the chance to place a piece on the board by answering arithmetic questions (addition, subtraction, multiplication, division). Parameters: time, difficulty level, types of questions. Arithmetic Four is one of the Interactivate assessment games.
Related Topics: addition, arithmetic, division, integers, multiplication, negative number, positive number, positive part of the operand, subtraction, whole numbers
Simulation of a coin toss allowing the user to input the number of flips. Toss results can be viewed as a list of individual outcomes, ratios, or table.
Related Topics: counting, events, experimental probability, fair, flips, outcomes, percentages, probability simulation, proportion, theoretical probability, theoretical value
Visually represent two unique fractions that are equivalent to a given fraction. The fractional value is shown on a number line after you check to see if your fraction is correct. Equivalent Fraction Finder is one of the Interactivate assessment explorers.
Related Topics: comparing, fractions, identity, multiples, number line, proportion, rational numbers
Visually represent two unique fractions that are equivalent to a given fraction. The fractional value is shown on a number line as you color in the fraction. Equivalent Fraction Pointer is one of the Interactivate assessment explorers.
Related Topics: comparing, fractions, identity, multiples, number line, ordering, proportion, rational numbers
Test your fraction skills by answering questions. This quiz asks you to simplify fractions, convert fractions to decimals and percentages, and answer algebra questions involving fractions. Choose difficulty level, question types, and time. Fraction Quiz is one of the Interactivate assessment quizzes.
Related Topics: addition, algebra, arithmetic, decimals, division, divisors, fractions, integers, mixed numbers, multiplication, percentages, percents, subtraction
Visualize fractions by coloring in the appropriate portions of either a circle or a square, then order those fractions from least to greatest. Fraction Sorter is one of the Interactivate assessment explorers.
Related Topics: area, circles, comparing, fractions, number line, ordering, proportion, rational numbers, squares
Determine the value of a given fraction represented as a point on a number line. Then find a fraction whose value is a given fraction. Fraction Pointer is one of the Interactivate assessment explorers.
Related Topics: equivalent, fractions, number line
Determine the value of a given fraction represented as a point on a number line. Then find a fraction whose value is the given fraction using an arrow on the number line as a guide. Single Fraction Pointer is one of the Interactivate assessment explorers.
Related Topics: equivalent, fractions, number line
Geometry (...)
Build your own polygon and transform it in the Cartesian coordinate system. Experiment with reflections across any line, revolving around any line (which yields a 3-D image), rotations about any point, and translations in any direction.
Related Topics: angles, calculus, coordinate, coordinate plane, coordinate system, flips, geometry, glides, graph, polygon, polyhedra, reflections, rotation, symmetry, transformation, translation, transpose
Practice your knowledge of acute, obtuse, and alternate angles. Also, practice relationships
between angles - vertical, adjacent, alternate, same-side, and corresponding. Angles is one of
the Interactivate assessment explorers.
Related Topics: acute, angles, assessment, geometry, lines, obtuse, parallel
Students work step-by-step through the generation of a different Hilbert-like Curve (a fractal made from deforming a line by bending it), allowing them to explore number patterns in sequences and geometric properties of fractals.
Related Topics: decimals, fractals, fractions, geometric sequences, geometry, iteration, length, pattern, self-similarity, sequences, surface area, symmetry
Learn the relationship between perimeter and area. A shape will be automatically generated with the perimeter that you choose. Calculate the area of this shape. Area Explorer is one of the Interactivate assessment explorers.
Related Topics: addition, area, arithmetic, assessment, comparing, coordinate plane, geometry, length, perimeter, polygon, rectangles, squares
Sort colored shapes into a bar graph. Practice sorting by shape or by color. Appropriate for elementary grades. Bar Graph Sorter is one of the Interactivate assessment explorers.
Related Topics: bar graph, circles, counting, sorter, squares, statistics
Learn about fractions between 0 and 1 by repeatedly deleting portions of a line segment, and also learn about properties of fractal objects. Parameter: fraction of the segment to be deleted each time.
Related Topics: fractals, fractions, geometric sequences, pattern, pre-calculus, recursion, sequences, sets
Practice reading a clock, input times for the clock to display, or let the clock generate random times for you to read. Choose from three difficulty levels. Clock Wise is one of the Interactivate assessment explorers.
Related Topics: assessment, elapsed time, time
Color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that are multiples of the number rolled, thereby practicing multiplication tables, investigating number patterns, and investigating fractal patterns. Coloring Multiples in Pascal's Triangle is one of the Interactivate assessment explorers.
Related Topics: algebra, combinatorics, division, divisors, factors, fractals, integers, multiples, pascal's triangle, pascals triangle, pattern, triangle, whole numbers
Color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that have the same remainder when divided by the number rolled, thereby practicing division and remainders, investigating number patterns, and investigating fractal patterns. Coloring Remainders in Pascal's Triangle is one of the Interactivate assessment explorers.
Related Topics: algebra, combinatorics, division, divisors, factors, fractals, integers, modular, pascal's triangle, pascals triangle, pattern, remainders, triangle, whole numbers
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.
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.
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
Practice finding elapsed time given a starting time and an ending time. Elapsed Time is one of
the Interactivate assessment explorers.
Related Topics: addition, assessment, counting, elapsed time, subtraction, time
Given a starting time and elapsed time practice finding the ending time. Elapsed Time Two is one of the Interactivate assessment explorers.
Related Topics: addition, assessment, counting, elapsed time, subtraction, time
Visualize factors through building rectangular areas on a grid. First enter all the factorizations of a number, then draw each factor set as an area on the grid. Factorize is one of the Interactivate assessment explorers.
Related Topics: area, arithmetic, assessment, commutative, divisors, factors, grouping, multiples, multiplication, rectangles, whole numbers
Visualize factors through building rectangular areas on a grid. As you draw each factor set on the grid, the factors will be listed. Factorize 2 is one of the Interactivate assessment explorers.
Related Topics: area, assessment, commutative, division, divisors, factors, multiples, multiplication, rectangles, whole numbers
Create your own fractals by drawing a "line deformation rule" and stepping through the generation of a geometric fractal. Parameters: Grid type, number of bending points on the line.
Related Topics: chaos, fractals, geometric sequences, iteration, pattern, pre-calculus, recursion, scale, self-similarity, sequences, symmetry, transformation
Build a "floor tile" by dragging the corners of a quadrilateral. Learn about tessellation of quadrilateral figures when the shape you built is tiled over an area.
Related Topics: angles, area, coordinate plane, coordinate system, length, pattern, planes, quadrilaterals, rectangles, reflections, rhombus, rotation, slides, symmetry, tessellations, transformation, translation
Determine the fractal dimensions of several line-deformation fractals. Input the scale factor and number of similar copies, and the dimension will be calculated. Fractal Dimensions is one of the Interactivate assessment explorers.
Related Topics: chaos, fractals, logarithm, pattern, scale, self-similarity
Generate complicated geometric fractals by specifying starting polygon and scale factor.
Related Topics: fractals, geometry, logarithm, polygon, recursion, scale, self-similarity
Investigate the Cartesian coordinate system through identifying the coordinates of a randomly generated point, or requesting that a particular point be plotted. General Coordinates Game is one of the Interactivate assessment explorers.
Related Topics: algebra, assessment, cartesian coordinate, coordinate, coordinate plane, coordinate system, graph
Step through the generation of a Hilbert Curve -- a fractal made from deforming a line by bending it, and explore number patterns in sequences and geometric properties of fractals.
Related Topics: chaos, fractals, geometric sequences, geometry, iteration, length, lines, pattern, recursion, self-similarity, sequences
Measure angles, distances, and areas in several different images (choices include maps, aerial photos, and others). A scale feature allows the user to set the scale used for measuring distances and areas.
Related Topics: algebra, angles, area, dimension, intervals, length, proportion, scale, transformation
Enter a complex value for "c" in the form of an ordered pair of real numbers. The applet draws the fractal Julia set for that seed value.
Related Topics: complex number, coordinate plane, coordinate system, fractals, iteration, julia set, mandelbrot set, recursion, recursive functions, sets
Step through the generation of the Koch Snowflake -- a fractal made from deforming the sides of a triangle, and explore number patterns in sequences and geometric properties of fractals.
Related Topics: decimals, fractals, geometric sequences, infinity, iteration, lines, pre-calculus, recursion, self-similarity, sequences
Investigate the Cartesian coordinate system by directing a robot through a mine field laid out on the plane. Maze Game is one of the Interactivate assessment explorers.
Related Topics: assessment, cartesian coordinate, coordinate, coordinate plane, coordinate system, graph
Plot ordered pairs on the graph, and they will be connected in the order that they are input. This enables you to decide how the pairs should be connected, rather than having the computer connect them from left to right.
Related Topics: cartesian coordinate, coordinate, coordinate plane, coordinate system, data plot, graph, lines, vertical line test
Learn the relationship between perimeter and area. A shape will be automatically generated with the area that you choose. Calculate the perimeter of this shape. Perimeter Explorer is one of the Interactivate assessment explorers.
Related Topics: area, arithmetic, assessment, comparing, coordinate plane, coordinate system, geometry, length, perimeter, polygon, rectangles, squares
Calculate the length of one side of an automatically generated right triangle by using the Pythagorean Theorem, and then check your answers. Pythagorean Explorer is one of the Interactivate assessment explorers.
Related Topics: algebra, angles, assessment, distance, exponents, geometry, length, pythagorean theorem, solving equations, squares, triangle, trigonometry
This activity operates in one of two modes: auto draw and create shape mode, allowing you to explore relationships between area and perimeter. Shape Builder is one of the Interactivate assessment explorers.
Related Topics: area, assessment, comparing, geometry, perimeter
Learn the relationship between perimeter and area. A random shape will be automatically generated. Calculate the area and perimeter of this shape. Shape Explorer is one of the Interactivate assessment explorers.
Related Topics: area, arithmetic, assessment, comparing, geometry, length, perimeter, polygon, rectangles, squares
Step through the generation of Sierpinski's Carpet -- a fractal made from subdividing a square into nine smaller squares and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.
Related Topics: algebra, area, fractals, fractions, geometric sequences, iteration, pattern, pre-calculus, recursion, recursive functions, self-similarity, sequences
Step through the generation of Sierpinski's Triangle -- a fractal made from subdividing a triangle into four smaller triangles and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.
Related Topics: dimension, fractals, fractions, geometric sequences, geometry, iteration, length, pattern, pre-calculus, recursion, recursive functions, self-similarity, sequences, symmetry, triangle, triangles
Investigate the first quadrant of the Cartesian coordinate system through identifying the coordinates of randomly generated points, or requesting that a particular point be plotted. Simple Coordinates Game is one of the Interactivate assessment explorers.
Related Topics: algebra, cartesian coordinate, coordinate, coordinate plane, coordinate system, graph, integers
Investigate the first quardant of the Cartesian coordinate system by directing a robot through a mine field laid out on the grid. Simple Maze Game is one of the Interactivate assessment explorers.
Related Topics: algebra, cartesian coordinate, coordinate, coordinate plane, coordinate system, distance, graph
Plot ordered pairs of numbers, either as a scatter plot or with the dots connected. Points are connected from right to left, rather than being connected in the order they are entered.
Related Topics: cartesian coordinate, coordinate plane, coordinate system, data plot, decimals, graph
Learn about how the Pythagorean Theorem works through investigating the standard geometric proof. Parameters: Sizes of the legs of the triangle.
Related Topics: algebra, angles, area, coordinate plane, distance, geometry, length, pythagorean theorem, slides, solving equations, squares, triangle, triangles, trigonometry
Functions like a real stopwatch, recording times that you choose. This stopwatch is accurate to the nearest tenth of a second. Parameters: Count up from 0 or count down from a set time.
Related Topics: decimals, elapsed time, intervals, stopwatch, time
Manipulate dimensions of polyhedra, and watch how the surface area and volume change. Parameters: Type of polyhedron, length, width and height. Surface Area and Volume one of the Interactivate assessment explorers.
Related Topics: assessment, dimension, geometry, length, polyhedra, prisms, surface area, volume
Explore perimeter through rectangular and straight-line arrangements of tables, calculating the number of chairs needed to surround different arrangements. Tables and Chairs is one of the Interactivate assessment explorers.
Related Topics: addition, agent modeling, arithmetic, associative, coordinate system, dimension, function properties, grouping, integers, multiples, perimeter, scale
Create a tessellation by deforming a triangle, rectangle or hexagon to form a polygon that tiles the plane. Corners of the polygons may be dragged, and corresponding edges of the polygons may be dragged. Parameters: Colors, starting polygon.
Related Topics: angles, area, flips, geometry, glides, hexagon, length, pattern, planes, polygon, reflections, rotation, slides, squares, symmetry, tessellations
Play the Chaos Game by experimenting with probabilities. Learn about an apparently random process with a not-so-random, geometric fractal result.
Related Topics: chaos, fractals, geometric probability, iteration, pattern, random number, recursion
Explore fractals by investigating the relationships between the Mandelbrot set and Julia sets.
Related Topics: chaos, complex number, coordinate, coordinate plane, exponents, fractals, functions, geometric sequences, geometry, iteration, julia set, mandelbrot set, pattern, recursion, recursive functions, self-similarity, sets
Explore the world of translations, reflections, and rotations in the Cartesian coordinate system by transforming squares, triangles and parallelograms. Parameters: Shape, x or y translation, x or y reflection, angle of rotation.
Related Topics: cartesian coordinate, coordinate plane, coordinate system, flips, geometry, glides, graph, hexagon, image, polygon, pre-image, reflections, rotation, symmetry, transformation, translation, transpose, triangle, triangles
Build your own polygon and transform it in the Cartesian coordinate system. Experiment with reflections across any line, rotations about any point, and translations in any direction. Parameters: Shape, x or y translation, x or y reflection, angle of rotation
Related Topics: angles, cartesian coordinate, coordinate, coordinate plane, coordinate system, flips, geometry, glides, graph, image, linear equations, polygon, pre-image, reflections, rotation, symmetry, transformation, translation, transpose
Calculate the area of a triangle drawn on a grid. Learn about areas of triangles and about the Cartesian coordinate system. Triangle Explorer is one of the Interactivate assessment explorers.
Related Topics: acute, area, assessment, cartesian coordinate, coordinate plane, distance, geometry, length, pythagorean theorem, triangle, triangles
Sort colored shapes into a three circle Venn Diagram.
Related Topics: pattern, sets, venn diagram
Enter two complex numbers (z and c) as ordered pairs of real numbers, then click a button to iterate step by step. The iterates are graphed in the x-y plane and printed out in table form. This is an introduction to the idea of prisoners/escapees in iterated functions and the calculation of fractal Julia sets.
Related Topics: complex number, coordinate plane, coordinate system, exponents, fractals, functions, graph, infinity, iteration, julia set, mandelbrot set, recursion, recursive functions, sets
Sort colored shapes into a Venn diagram based on various characteristics. Venn Diagram Shape Sorter is one of the Interactivate assessment explorers.
Related Topics: pattern, sets, sorter, venn diagram
Graphs (...)
Build your own polygon and transform it in the Cartesian coordinate system. Experiment with reflections across any line, revolving around any line (which yields a 3-D image), rotations about any point, and translations in any direction.
Related Topics: angles, calculus, coordinate, coordinate plane, coordinate system, flips, geometry, glides, graph, polygon, polyhedra, reflections, rotation, symmetry, transformation, translation, transpose
Enter data to create a bar graph, then change many settings for the graph's appearance.
Related Topics: bar graph, data plot, histogram, statistics
Sort colored shapes into a bar graph. Practice sorting by shape or by color. Appropriate for elementary grades. Bar Graph Sorter is one of the Interactivate assessment explorers.
Related Topics: bar graph, circles, counting, sorter, squares, statistics
Students can create box plots for either built-in or user-specified data as well as experiment with outliers. User may choose to use or not use the median for calculation of interquartile range.
Related Topics: box and whisker, box plot, coordinate plane, data plot, median, outlier, percentages, quartile, range, scale, skewed distribution, statistics
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.
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
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.
Related Topics: area, calculus, estimation, function properties, functions, graph, infinity, integral, integrate, intervals, limit
Enter data to create a double bar graph, then manipulate the graph's maximum and minimum values.
Related Topics: bar graph, data plot, double bar graph
Create a pie chart, adjusting the size of the divisions using your mouse or by entering values.
Parameters: Number of sections, size of sections, whether to use percents or fractions.
Related Topics: angles, area, circle graph, circles, fractions, percentages, percents, pie chart, proportion, statistics
This activity allows the user to explore the polar coordinate system. The applet is similar to GraphIt, but instead allows users to explore the representation of a function in the polar coordinate system.
Related Topics: calculus, coordinate plane, coordinate system, cosine, data plot, graph, polar coordinates, pre-calculus, sine, tangent, trigonometry
Graph recursive functions by defining f(0)=C and defining f(n) based on f(n-1).
Related Topics: algebra, arithmetic sequences, cartesian coordinate, coordinate plane, functions, geometric sequences, graph, iteration, recursion, recursive functions, sequences
Plot a bivariate data set, determine the line of best fit for their data, and then check the accuracy of your line of best fit.
Related Topics: calculus, cartesian coordinate, coordinate plane, correlation, curve fitting, data plot, deviations, residual, statistics
Graph ordered pairs and customize the graph title and axis labels. Points are connected from left to right, rather than being connected in the order they are entered.
Related Topics: cartesian coordinate, coordinate, coordinate plane, data plot, graph, statistics
Investigate the first quadrant of the Cartesian coordinate system through identifying the coordinates of randomly generated points, or requesting that a particular point be plotted. Simple Coordinates Game is one of the Interactivate assessment explorers.
Related Topics: algebra, cartesian coordinate, coordinate, coordinate plane, coordinate system, graph, integers
Investigate the first quardant of the Cartesian coordinate system by directing a robot through a mine field laid out on the grid. Simple Maze Game is one of the Interactivate assessment explorers.
Related Topics: algebra, cartesian coordinate, coordinate, coordinate plane, coordinate system, distance, graph
Sort colored shapes into a Venn diagram based on various characteristics. Venn Diagram Shape Sorter is one of the Interactivate assessment explorers.
Related Topics: pattern, sets, sorter, venn diagram
Modeling (...)
Students run a simulation of how a fire will spread through a stand of trees, learning about probability and chaos. Parameters: Forest density, wind direction, size of forest.
Related Topics: agent modeling, chaos, conditional probability, experimental probability, iteration, percentages, percents, probability simulation, proportion, simulation, skewed distribution, variance
Run a simulation of how a fire spreads through a stand of trees, learning about probability and chaos. Track the results of multiple burns and use the data to draw conclusions.
Related Topics: agent modeling, chaos, conditional probability, experimental probability, probability simulation, simulation, theoretical probability
Choose one of N doors to experimentally determine the odds of winning the grand prize behind one of the doors, as in the TV program "Let's Make a Deal." Parameters: Number of doors, number of trials, staying or switching between the two remaining doors.
Related Topics: bar graph, conditional probability, events, experimental probability, fair, monty hall, outcomes, probability simulation, simulation, statistics, trials
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.
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
Run a simulation of how a fire will spread through a stand of trees, learning about probability and chaos. Parameters: Probability that a tree will set fire to each of its eight neighbors.
Related Topics: agent modeling, chaos, events, experimental probability, geometric probability, percentages, percents, probability simulation, proportion, recursion, simulation, statistics, theoretical probability, variance
Learn about estimation through modeling of a forest fire. This activity allows the user to burn a virtual forest, then estimate the number, the percent, or the fraction of trees burned. Fire Assessment is one of the Interactivate assessment explorers.
Related Topics: estimation, fractions, percentages, percents
Run a simulation of how a fire will spread through a stand of trees, learning about probability and chaos. Parameters: Probability that a tree catches fire if its neighbor is on fire.
Related Topics: agent modeling, chaos, decimals, events, experimental probability, outcomes, percentages, percents, proportion, simulation, squares, theoretical probability, variance
Run a simulation to generate results from running the Monty Hall for multiple trials. This is similar to the game show "Let's Make A Deal", where you choose one of N doors in hopes of finding a grand prize behind one of the doors. Parameters: Number of doors, number of trials, staying, or switching between the two remaining doors.
Related Topics: conditional probability, events, experimental probability, fair, monty hall, outcomes, probability simulation, random number, simulation, theoretical probability, theoretical value, trials
This applet allows the user to make observations about the relationship between speed and position and how both of these are affected by initial velocity and the incline on which the biker is traveling.
Related Topics: algebra, distance, functions, graph, parabola, pre-calculus, scale, simulation
Run the classic game of life, learning about probabilities, chaos and simulation. This activity allows the user to run a randomly generated world or test out various patterns. This is a very powerful activity with a wide range of options. It runs in a separate window.
Related Topics: agent modeling, chaos, iteration, pattern, probability simulation, random number, simulation
Run the classic game of life, learning about probabilities, chaos and simulation. This activity allows the user to run a randomly generated world or test out various patterns. This is a simple activity which runs directly in the Interactivate window.
Related Topics: agent modeling, chaos, iteration, pattern, probability simulation, random number, simulation
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.
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 compare multiple independent variables as predictors of one dependent variable. Students explore correlation and lines of best-fit.
Related Topics: algebra, cartesian coordinate, coordinate, coordinate plane, coordinate system, data plot, deviations, flyer, functions, graph, linear functions, squares
Experiment with a simple ecosystem consisting of grass, rabbits, and wolves, learning about probabilities, chaos, and simulation.
Related Topics: agent modeling, calculus, chaos, graph, iteration, pattern, predator-prey, probability simulation, random number, simulation, statistics
Models how a population of susceptible, infected, and recovered people is affected by a disease.
Related Topics: agent modeling, chaos, graph, iteration, probability simulation, simulation, statistics
Explore perimeter through rectangular and straight-line arrangements of tables, calculating the number of chairs needed to surround different arrangements. Tables and Chairs is one of the Interactivate assessment explorers.
Related Topics: addition, agent modeling, arithmetic, associative, coordinate system, dimension, function properties, grouping, integers, multiples, perimeter, scale
Choose one of three boxes and choose one ball from the box to look at conditional probabilities. Parameters: Number of trials.
Related Topics: conditional probability, events, experimental probability, outcomes, probability, probability simulation, probability without replacement, statistics, theoretical probability, theoretical value, trials
Number and Operations (...)
Students work step-by-step through the generation of a different Hilbert-like Curve (a fractal made from deforming a line by bending it), allowing them to explore number patterns in sequences and geometric properties of fractals.
Related Topics: decimals, fractals, fractions, geometric sequences, geometry, iteration, length, pattern, self-similarity, sequences, surface area, symmetry
Students play a generalized version of connect four, gaining the chance to place a piece on the board by answering arithmetic questions (addition, subtraction, multiplication, division). Parameters: time, difficulty level, types of questions. Arithmetic Four is one of the Interactivate assessment games.
Related Topics: addition, arithmetic, division, integers, multiplication, negative number, positive number, positive part of the operand, subtraction, whole numbers
Arithmetic Quiz gives the user randomized questions to answer on arithmetic with whole numbers and integers. Parameters: Level of difficulty and types of questions. Arithmetic Quiz is one of the Interactivate assessment quizzes.
Related Topics: addition, arithmetic, assessment, associative, commutative, division, integers, multiplication, negative number, positive number, positive part of the operand, subtraction, whole numbers
The same as "Bounded Fraction Pointer" but there is no arrow to help the user determine the value of a fraction between the two endpoints. Bounded Fraction Finder is one of the Interactivate assessment explorers.
Related Topics: assessment, comparing, fractions, number line, ordering, rational numbers
Determine the value of two fractions you have chosen (which are represented as points on a number line). Then find a fraction whose value is between your two fractions (using an arrow on the number line as a guide) and determine its value. Bounded Fraction Pointer is one of the Interactivate assessment explorers.
Related Topics: assessment, comparing, fractions, number line, ordering, rational numbers
Create your own affine cipher for encoding and decoding messages. Input your own constant and multiplier, then input a message to encode.
Related Topics: addition, arithmetic, cipher, cryptography, division, modular, multiplication, pattern, remainders
Encode and decode messages to determine the form for an affine cipher. Input a message to encode, then input your guesses for the constant and multiplier. Caesar Cipher II is one of the Interactivate assessment explorers.
Related Topics: addition, arithmetic, assessment, cipher, cryptography, division, modular, multiplication, pattern, remainders
Decode encrypted messages to determine the form for an affine cipher, and practice your reasoning and arithmetic skills. Input your guesses for the multiplier and constant. Caesar Cipher III is one of the Interactivate assessment explorers.
Related Topics: addition, arithmetic, assessment, cipher, cryptography, division, functions, modular, multiplication, pattern, remainders
Learn about fractions between 0 and 1 by repeatedly deleting portions of a line segment, and also learn about properties of fractal objects. Parameter: fraction of the segment to be deleted each time.
Related Topics: fractals, fractions, geometric sequences, pattern, pre-calculus, recursion, sequences, sets
Work with various types of clocks in order to learn about modular arithmetic operations. Parameters: Number of hours on the clock.
Related Topics: addition, division, elapsed time, modular, multiplication, remainders, time
Color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that are multiples of the number rolled, thereby practicing multiplication tables, investigating number patterns, and investigating fractal patterns. Coloring Multiples in Pascal's Triangle is one of the Interactivate assessment explorers.
Related Topics: algebra, combinatorics, division, divisors, factors, fractals, integers, multiples, pascal's triangle, pascals triangle, pattern, triangle, whole numbers
Color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that have the same remainder when divided by the number rolled, thereby practicing division and remainders, investigating number patterns, and investigating fractal patterns. Coloring Remainders in Pascal's Triangle is one of the Interactivate assessment explorers.
Related Topics: algebra, combinatorics, division, divisors, factors, fractals, integers, modular, pascal's triangle, pascals triangle, pattern, remainders, triangle, whole numbers
Compare two sets of objects, using estimation to determine which is greater. Estimate a number of objects, the length of a line, or the area of a shape. Parameter: error tolerance. Comparison Estimator is one of the Interactivate assessment explorers.
Related Topics: area, assessment, comparing, counting, estimation, length, scale
Converts fractions to decimals and decimals to fractions. Observe the relationships between
fractions and decimals.
Related Topics: decimals, division, fractions, rational numbers
Visually represent two unique fractions that are equivalent to a given fraction. The fractional value is shown on a number line after you check to see if your fraction is correct. Equivalent Fraction Finder is one of the Interactivate assessment explorers.
Related Topics: comparing, fractions, identity, multiples, number line, proportion, rational numbers
Visually represent two unique fractions that are equivalent to a given fraction. The fractional value is shown on a number line as you color in the fraction. Equivalent Fraction Pointer is one of the Interactivate assessment explorers.
Related Topics: comparing, fractions, identity, multiples, number line, ordering, proportion, rational numbers
Practice estimation skills by determining the number of objects, the length of a line, or the area of a shape. Parameters: error tolerance of estimate. Estimator is one of the Interactivate assessment explorers.
Related Topics: area, assessment, counting, estimation, length, scale
Play a "Connect-Four" style game, earning a game piece each time you answer an estimation question correctly. This game asks the players to estimate the answer to addition, multiplication, and percentage questions. Choose difficulty level, question types, and time. Estimator Four is one of the Interactivate assessment games.
Related Topics: addition, arithmetic, assessment, estimation, integers, multiplication, percentages, percents
Test your estimation skills by answering questions. This quiz asks you to estimate the answer to addition, multiplication, and percentage questions. Choose difficulty level, question types, and time. Estimator Quiz is one of the Interactivate assessment quizzes.
Related Topics: addition, arithmetic, assessment, counting, distributive, integers, multiplication, percentages, percents
Visualize factors through building rectangular areas on a grid. First enter all the factorizations of a number, then draw each factor set as an area on the grid. Factorize is one of the Interactivate assessment explorers.
Related Topics: area, arithmetic, assessment, commutative, divisors, factors, grouping, multiples, multiplication, rectangles, whole numbers
Visualize factors through building rectangular areas on a grid. As you draw each factor set on the grid, the factors will be listed. Factorize 2 is one of the Interactivate assessment explorers.
Related Topics: area, assessment, commutative, division, divisors, factors, multiples, multiplication, rectangles, whole numbers
Learn about estimation through modeling of a forest fire. This activity allows the user to burn a virtual forest, then estimate the number, the percent, or the fraction of trees burned. Fire Assessment is one of the Interactivate assessment explorers.
Related Topics: estimation, fractions, percentages, percents
Create your own fractals by drawing a "line deformation rule" and stepping through the generation of a geometric fractal. Parameters: Grid type, number of bending points on the line.
Related Topics: chaos, fractals, geometric sequences, iteration, pattern, pre-calculus, recursion, scale, self-similarity, sequences, symmetry, transformation
Determine the fractal dimensions of several line-deformation fractals. Input the scale factor and number of similar copies, and the dimension will be calculated. Fractal Dimensions is one of the Interactivate assessment explorers.
Related Topics: chaos, fractals, logarithm, pattern, scale, self-similarity
Determine the value of two given fractions represented as points on a number line. Then find a fraction whose value is between the two given fractions and determine its value. Fraction Finder is one of the Interactivate assessment explorers.
Related Topics: arithmetic, assessment, comparing, fractions, number line, ordering, rational numbers, subtraction
Students play a generalized version of connect four, gaining the chance to place a piece after simplifying fractions, converting fractions to decimals and percentages, and answering algebra questions involving fractions. Choose difficulty level, question types, and time. Fraction Four is one of the Interactivate assessment games.
Related Topics: addition, algebra, arithmetic, assessment, decimals, division, fractions, mixed numbers, multiplication, percentages, percents, rational numbers, solving equations, subtraction
Determine the value of two given fractions represented as points on a number line. Then find a fraction whose value is between the two given fractions (using an arrow on the number line as a guide) and determine its value. Fraction Pointer is one of the Interactivate assessment explorers.
Related Topics: arithmetic, assessment, comparing, fractions, number line, ordering, rational numbers, subtraction
Test your fraction skills by answering questions. This quiz asks you to simplify fractions, convert fractions to decimals and percentages, and answer algebra questions involving fractions. Choose difficulty level, question types, and time. Fraction Quiz is one of the Interactivate assessment quizzes.
Related Topics: addition, algebra, arithmetic, decimals, division, divisors, fractions, integers, mixed numbers, multiplication, percentages, percents, subtraction
Visualize fractions by coloring in the appropriate portions of either a circle or a square, then order those fractions from least to greatest. Fraction Sorter is one of the Interactivate assessment explorers.
Related Topics: area, circles, comparing, fractions, number line, ordering, proportion, rational numbers, squares
Step through the generation of a Hilbert Curve -- a fractal made from deforming a line by bending it, and explore number patterns in sequences and geometric properties of fractals.
Related Topics: chaos, fractals, geometric sequences, geometry, iteration, length, lines, pattern, recursion, self-similarity, sequences
Enter a complex value for "c" in the form of an ordered pair of real numbers. The applet draws the fractal Julia set for that seed value.
Related Topics: complex number, coordinate plane, coordinate system, fractals, iteration, julia set, mandelbrot set, recursion, recursive functions, sets
Step through the generation of the Koch Snowflake -- a fractal made from deforming the sides of a triangle, and explore number patterns in sequences and geometric properties of fractals.
Related Topics: decimals, fractals, geometric sequences, infinity, iteration, lines, pre-calculus, recursion, self-similarity, sequences
Mixtures allows exploration of percents through two piles of colored and uncolored chips. The user must decide how many chips to color to create the desired percentage of colored chips compared to the total pile. Mixtures is one of the Interactivate assessment explorers.
Related Topics: assessment, counting, percentages, percents, proportion, sets
Practice estimation skills by determining whether the number of objects, the length of a line, or the area of a shape is more or less than the number given. Parameters: error tolerance of estimate. More or Less Estimator is one of the Interactivate assessment explorers.
Related Topics: area, comparing, counting, estimation, length, scale
Visually explore counting and place value with different number bases, from base 2 to base 16, and up to the hundreds place using a clock like interface. The activity also allows you to look at the numbers on the clock in base 10 or in your other chosen base to explore the relationship between those values.
Related Topics: arithmetic, counting, exponents, modular
Similar to the original "Function Machine" but lists input and output in a table and will not let the user attempt to guess the rule without having at least two data points. Number Cruncher is one of the Interactivate assessment explorers.
Related Topics: addition, algebra, arithmetic, assessment, data plot, function machine, functions, input, linear functions, multiplication, output, solving equations, subtraction
Students play a generalized version of connect four, gaining the chance to place a piece on the board by answering order of operations questions (addition/subtraction, multiplication/division, exponents, and parentheses). Parameters: time, difficulty level, types of questions. Order of Operations Four is one of the Interactivate assessment games.
Related Topics: addition, arithmetic, assessment, associative, commutative, division, exponents, integers, multiplication, negative number, order of operations, subtraction
This activity allows the user to practice order of operations with addition/subtraction, multiplication/division, exponents, and parentheses. Order of Operations Quiz is one of the Interactivate assessment quizzes.
Related Topics: addition, arithmetic, assessment, associative, commutative, division, exponents, integers, multiplication, negative number, order of operations, subtraction
Recognize patterns in a series of shapes, numbers, or letters. After determining the pattern, the student fills in the missing pieces. Three levels of difficulty are available.
Related Topics: arithmetic, arithmetic sequences, iteration, pattern, sequences
Graph recursive functions by defining f(0)=C and defining f(n) based on f(n-1).
Related Topics: algebra, arithmetic sequences, cartesian coordinate, coordinate plane, functions, geometric sequences, graph, iteration, recursion, recursive functions, sequences
Learn about number patterns in sequences and recursions by specifying a starting number, multiplier, and add-on. The numbers in the sequence are displayed on a graph, and they are also listed below the graph.
Related Topics: addition, arithmetic, arithmetic sequences, cartesian coordinate, coordinate plane, decimals, geometric sequences, graph, iteration, multiplication, pre-calculus, recursion, recursive functions, sequences
Step through the generation of Sierpinski's Carpet -- a fractal made from subdividing a square into nine smaller squares and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.
Related Topics: algebra, area, fractals, fractions, geometric sequences, iteration, pattern, pre-calculus, recursion, recursive functions, self-similarity, sequences
Step through the generation of Sierpinski's Triangle -- a fractal made from subdividing a triangle into four smaller triangles and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.
Related Topics: dimension, fractals, fractions, geometric sequences, geometry, iteration, length, pattern, pre-calculus, recursion, recursive functions, self-similarity, sequences, symmetry, triangle, triangles
Determine the value of a given fraction represented as a point on a number line. Then find a fraction whose value is a given fraction. Fraction Pointer is one of the Interactivate assessment explorers.
Related Topics: equivalent, fractions, number line
Determine the value of a given fraction represented as a point on a number line. Then find a fraction whose value is the given fraction using an arrow on the number line as a guide. Single Fraction Pointer is one of the Interactivate assessment explorers.
Related Topics: equivalent, fractions, number line
Explore perimeter through rectangular and straight-line arrangements of tables, calculating the number of chairs needed to surround different arrangements. Tables and Chairs is one of the Interactivate assessment explorers.
Related Topics: addition, agent modeling, arithmetic, associative, coordinate system, dimension, function properties, grouping, integers, multiples, perimeter, scale
Explore fractals by investigating the relationships between the Mandelbrot set and Julia sets.
Related Topics: chaos, complex number, coordinate, coordinate plane, exponents, fractals, functions, geometric sequences, geometry, iteration, julia set, mandelbrot set, pattern, recursion, recursive functions, self-similarity, sets
Step through the tortoise and hare race, based on Zeno's paradox, to learn about the multiplication of fractions and about convergence of an infinite sequence of numbers.
Related Topics: decimals, distance, fractals, geometric sequences, infinity, iteration, length, logarithm, multiplication, pattern, percentages, percents, proportion, rational numbers, recursion, recursive functions, self-similarity, sequences
Sort colored shapes into a three circle Venn Diagram.
Related Topics: pattern, sets, venn diagram
Enter two complex numbers (z and c) as ordered pairs of real numbers, then click a button to iterate step by step. The iterates are graphed in the x-y plane and printed out in table form. This is an introduction to the idea of prisoners/escapees in iterated functions and the calculation of fractal Julia sets.
Related Topics: complex number, coordinate plane, coordinate system, exponents, fractals, functions, graph, infinity, iteration, julia set, mandelbrot set, recursion, recursive functions, sets
Sort colored shapes into a Venn diagram based on various characteristics. Venn Diagram Shape Sorter is one of the Interactivate assessment explorers.
Related Topics: pattern, sets, sorter, venn diagram
Give input to the Whole Number Cruncher and try to guess what it did from the output it generates. This activity only generates multiplication and addition functions to avoid outputting any negative numbers. Whole Number Cruncher is one of the Interactivate assessment explorers.
Related Topics: addition, algebra, arithmetic, assessment, coordinate, function machine, functions, input, linear equations, linear functions, multiplication, output, pattern, solving equations, whole numbers
Probability (...)
Students run a simulation of how a fire will spread through a stand of trees, learning about probability and chaos. Parameters: Forest density, wind direction, size of forest.
Related Topics: agent modeling, chaos, conditional probability, experimental probability, iteration, percentages, percents, probability simulation, proportion, simulation, skewed distribution, variance
Create a game spinner with variable sized sectors to look at experimental and theoretical probabilities. Parameters: Sizes of sectors, number of sectors, number of trials.
Related Topics: angles, circle graph, circles, counting, decimals, events, experimental probability, fair, geometric probability, outcomes, percentages, percents, pie chart, probability simulation, simulation, spinner, statistics, theoretical probability
Run a simulation of how a fire spreads through a stand of trees, learning about probability and chaos. Track the results of multiple burns and use the data to draw conclusions.
Related Topics: agent modeling, chaos, conditional probability, experimental probability, probability simulation, simulation, theoretical probability
Choose one of N doors to experimentally determine the odds of winning the grand prize behind one of the doors, as in the TV program "Let's Make a Deal." Parameters: Number of doors, number of trials, staying or switching between the two remaining doors.
Related Topics: bar graph, conditional probability, events, experimental probability, fair, monty hall, outcomes, probability simulation, simulation, statistics, trials
Experiment with a simulation to get an approximation of Pi by dropping a needle on a lined sheet of paper.
Related Topics: angles, area, circumference, experimental probability, polygon, probability simulation, simulation
Simulation of a coin toss allowing the user to input the number of flips. Toss results can be viewed as a list of individual outcomes, ratios, or table.
Related Topics: counting, events, experimental probability, fair, flips, outcomes, percentages, probability simulation, proportion, theoretical probability, theoretical value
Compare theoretical and experimental probabilities, using dice, cards, spinners, or coin tosses. Three different probabilities can be compared at once. Parameters: Type of probabilities, number of trials.
Related Topics: combinatorics, events, experimental probability, outcomes, probability simulation, random number, theoretical probability
Experiment with the outcome distribution for a roll of two dice by simulating a dice throwing game. Parameters: Which player wins with which total rolled.
Related Topics: combinatorics, decimals, events, experimental probability, fair, fractions, outcomes, percentages, percents, probability simulation, proportion, random number, statistics, theoretical probability, theoretical value
Run a simulation of how a fire will spread through a stand of trees, learning about probability and chaos. Parameters: Probability that a tree will set fire to each of its eight neighbors.
Related Topics: agent modeling, chaos, events, experimental probability, geometric probability, percentages, percents, probability simulation, proportion, recursion, simulation, statistics, theoretical probability, variance
Experiment with probability using a fixed size section spinner, a variable section spinner, two
regular 6-sided dice or customized dice.
Related Topics: circles, events, experimental probability, fair, fractions, geometric probability, outcomes, percentages, probability simulation, random number, simulation, spinner, statistics, theoretical probability, theoretical value, trials
Learn about estimation through modeling of a forest fire. This activity allows the user to burn a virtual forest, then estimate the number, the percent, or the fraction of trees burned. Fire Assessment is one of the Interactivate assessment explorers.
Related Topics: estimation, fractions, percentages, percents
Run a simulation of how a fire will spread through a stand of trees, learning about probability and chaos. Parameters: Probability that a tree catches fire if its neighbor is on fire.
Related Topics: agent modeling, chaos, decimals, events, experimental probability, outcomes, percentages, percents, proportion, simulation, squares, theoretical probability, variance
Run a simulation to generate results from running the Monty Hall for multiple trials. This is similar to the game show "Let's Make A Deal", where you choose one of N doors in hopes of finding a grand prize behind one of the doors. Parameters: Number of doors, number of trials, staying, or switching between the two remaining doors.
Related Topics: conditional probability, events, experimental probability, fair, monty hall, outcomes, probability simulation, random number, simulation, theoretical probability, theoretical value, trials
Run the classic game of life, learning about probabilities, chaos and simulation. This activity allows the user to run a randomly generated world or test out various patterns. This is a very powerful activity with a wide range of options. It runs in a separate window.
Related Topics: agent modeling, chaos, iteration, pattern, probability simulation, random number, simulation
Run the classic game of life, learning about probabilities, chaos and simulation. This activity allows the user to run a randomly generated world or test out various patterns. This is a simple activity which runs directly in the Interactivate window.
Related Topics: agent modeling, chaos, iteration, pattern, probability simulation, random number, simulation
Learn about sampling with and without replacement by randomly drawing marbles from a bag. Parameters: Number and color of marbles in the bag, replacement rule.
Related Topics: conditional probability, events, experimental probability, outcomes, percentages, probability simulation, probability with replacement, probability without replacement, random number, simulation, statistics, theoretical probability, trials
In this applet you can adjust the parameters on two Gaussian curves to determine if there is a possibility of a difference between the two means.
Related Topics: bell curve, continuous distribution, experimental probability, exponential, graph, integral, mean, normal distribution, standard deviation, statistics, theoretical probability
Experiment with a simple ecosystem consisting of grass, rabbits, and wolves, learning about probabilities, chaos, and simulation.
Related Topics: agent modeling, calculus, chaos, graph, iteration, pattern, predator-prey, probability simulation, random number, simulation, statistics
Simulate a game where two players each roll a die, and the lucky player moves one step to the finish. Parameters: what rolls win and how many steps to the finish line.
Related Topics: circle graph, events, experimental probability, fair, geometric probability, percents, pie chart, probability, probability simulation, random number, theoretical probability, trials
Simulate a game where "N" players roll two dice, and the lucky player has an advantage for reaching the finish. Parameters: the number of players, number of trials and length of the race.
Related Topics: combinatorics, experimental probability, fair, outcomes, probability, probability simulation, random number, theoretical probability, trials
Choose one of three doors to experimentally determine the odds of winning the grand prize behind one of the doors, as in the TV program "Let's Make a Deal." Parameters: Staying or switching between the two remaining doors.
Related Topics: conditional probability, events, experimental probability, fair, monty hall, outcomes, percents, probability, probability simulation, random number, statistics, strategy, theoretical probability
Create a game spinner with one to twelve sectors in order to look at experimental and theoretical probabilities. Parameters: Number of sectors, number of trials.
Related Topics: angles, circle graph, circles, events, experimental probability, fair, geometric probability, outcomes, percents, pie chart, probability, probability simulation, spinner, theoretical probability, theoretical value, trials
Models how a population of susceptible, infected, and recovered people is affected by a disease.
Related Topics: agent modeling, chaos, graph, iteration, probability simulation, simulation, statistics
Choose one of three boxes and choose one ball from the box to look at conditional probabilities. Parameters: Number of trials.
Related Topics: conditional probability, events, experimental probability, outcomes, probability, probability simulation, probability without replacement, statistics, theoretical probability, theoretical value, trials
Statistics (...)
Create a game spinner with variable sized sectors to look at experimental and theoretical probabilities. Parameters: Sizes of sectors, number of sectors, number of trials.
Related Topics: angles, circle graph, circles, counting, decimals, events, experimental probability, fair, geometric probability, outcomes, percentages, percents, pie chart, probability simulation, simulation, spinner, statistics, theoretical probability
Run a simulation of how a fire spreads through a stand of trees, learning about probability and chaos. Track the results of multiple burns and use the data to draw conclusions.
Related Topics: agent modeling, chaos, conditional probability, experimental probability, probability simulation, simulation, theoretical probability
Choose one of N doors to experimentally determine the odds of winning the grand prize behind one of the doors, as in the TV program "Let's Make a Deal." Parameters: Number of doors, number of trials, staying or switching between the two remaining doors.
Related Topics: bar graph, conditional probability, events, experimental probability, fair, monty hall, outcomes, probability simulation, simulation, statistics, trials
Enter data to create a bar graph, then change many settings for the graph's appearance.
Related Topics: bar graph, data plot, histogram, statistics
Sort colored shapes into a bar graph. Practice sorting by shape or by color. Appropriate for elementary grades. Bar Graph Sorter is one of the Interactivate assessment explorers.
Related Topics: bar graph, circles, counting, sorter, squares, statistics
Students can create box plots for either built-in or user-specified data as well as experiment with outliers. User may choose to use or not use the median for calculation of interquartile range.
Related Topics: box and whisker, box plot, coordinate plane, data plot, median, outlier, percentages, quartile, range, scale, skewed distribution, statistics
Experiment with a simulation to get an approximation of Pi by dropping a needle on a lined sheet of paper.
Related Topics: angles, area, circumference, experimental probability, polygon, probability simulation, simulation
Enter your own data categories and the value of each category to create a pie chart. There are
also built in data sets which can be viewed.
Related Topics: angles, area, circle graph, circles, data plot, fractions, percentages, pie chart, proportion, statistics
Simulation of a coin toss allowing the user to input the number of flips. Toss results can be viewed as a list of individual outcomes, ratios, or table.
Related Topics: counting, events, experimental probability, fair, flips, outcomes, percentages, probability simulation, proportion, theoretical probability, theoretical value
Compare theoretical and experimental probabilities, using dice, cards, spinners, or coin tosses. Three different probabilities can be compared at once. Parameters: Type of probabilities, number of trials.
Related Topics: combinatorics, events, experimental probability, outcomes, probability simulation, random number, theoretical probability
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.
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
Experiment with probability using a fixed size section spinner, a variable section spinner, two
regular 6-sided dice or customized dice.
Related Topics: circles, events, experimental probability, fair, fractions, geometric probability, outcomes, percentages, probability simulation, random number, simulation, spinner, statistics, theoretical probability, theoretical value, trials
This applet allows the user to experiment with randomly generated data sets at various sample sizes and standard deviations. Then, users can compare the distribution of the experimental data to the expected distribution.
Related Topics: bell curve, continuous distribution, exponential, histogram, infinity, mean, measures of central tendency, normal distribution, probability simulation, statistics, trials
Create graphs of functions and sets of ordered pairs on the same coordinate plane. This is like a graphing calculator with advanced viewing options.
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
View histograms for built-in or user-specified data. Experiment with how the size of the class intervals influences the appearance of the histogram. Parameters: Data sets, class sizes.
Related Topics: counting, data plot, graph, histogram, intervals, mean, range, skewed distribution, slides, standard deviation
Enter data and view the mean, median, variance, and standard deviation of the data set. Parameters: Number of observations, range for observations, which statistics to view, identifiers for the data.
Related Topics: decimals, deviations, mean, measures of central tendency, median, mode, range, simulation, standard deviation, statistics, variance
Enter data to create a double bar graph, then manipulate the graph's maximum and minimum values.
Related Topics: bar graph, data plot, double bar graph
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.
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 compare multiple independent variables as predictors of one dependent variable. Students explore correlation and lines of best-fit.
Related Topics: algebra, cartesian coordinate, coordinate, coordinate plane, coordinate system, data plot, deviations, flyer, functions, graph, linear functions, squares
Change the standard deviation of an automatically generated normal distribution to create a new histogram. Observe how well the histogram fits the curve, and how areas under the curve correspond to the number of trials. Parameters: standard deviation, number of trials, class intervals.
Related Topics: bell curve, continuous distribution, exponential, histogram, infinity, mean, measures of central tendency, normal distribution, probability simulation, standard deviation, statistics, trials
Plot ordered pairs on the graph, and they will be connected in the order that they are input. This enables you to decide how the pairs should be connected, rather than having the computer connect them from left to right.
Related Topics: cartesian coordinate, coordinate, coordinate plane, coordinate system, data plot, graph, lines, vertical line test
In this applet you can adjust the parameters on two Gaussian curves to determine if there is a possibility of a difference between the two means.
Related Topics: bell curve, continuous distribution, experimental probability, exponential, graph, integral, mean, normal distribution, standard deviation, statistics, theoretical probability
Create a pie chart, adjusting the size of the divisions using your mouse or by entering values.
Parameters: Number of sections, size of sections, whether to use percents or fractions.
Related Topics: angles, area, circle graph, circles, fractions, percentages, percents, pie chart, proportion, statistics
PlopIt allows users to build dot plots of data using the mouse. View how the mean, median, and mode change as entries are added to the plot. Parameters: Range for observations.
Related Topics: bar graph, data plot, graph, histogram, mean, measures of central tendency, median, mode, range, statistics
Experiment with a simple ecosystem consisting of grass, rabbits, and wolves, learning about probabilities, chaos, and simulation.
Related Topics: agent modeling, calculus, chaos, graph, iteration, pattern, predator-prey, probability simulation, random number, simulation, statistics
Plot a bivariate data set, determine the line of best fit for their data, and then check the accuracy of your line of best fit.
Related Topics: calculus, cartesian coordinate, coordinate plane, correlation, curve fitting, data plot, deviations, residual, statistics
Graph ordered pairs and customize the graph title and axis labels. Points are connected from left to right, rather than being connected in the order they are entered.
Related Topics: cartesian coordinate, coordinate, coordinate plane, data plot, graph, statistics
Plot ordered pairs of numbers, either as a scatter plot or with the dots connected. Points are connected from right to left, rather than being connected in the order they are entered.
Related Topics: cartesian coordinate, coordinate plane, coordinate system, data plot, decimals, graph
Change the median and standard deviation of an automatically generated normal distribution to create a skewed distribution, allowing you to observe properties like what it means for the mean, median, and mode to be different. Parameters: median, standard deviation, number of trials, class intervals.
Related Topics: bell curve, continuous distribution, histogram, mean, measures of central tendency, median, normal distribution, skewed distribution, standard deviation, statistics, trials, variance
Create a game spinner with one to twelve sectors in order to look at experimental and theoretical probabilities. Parameters: Number of sectors, number of trials.
Related Topics: angles, circle graph, circles, events, experimental probability, fair, geometric probability, outcomes, percents, pie chart, probability, probability simulation, spinner, theoretical probability, theoretical value, trials
View stem-and-leaf plots of your own data, and then practice finding means, medians and modes. Stem and Leaf Plotter is one of the Interactivate assessment explorers.
Related Topics: assessment, data plot, graph, mean, measures of central tendency, median, mode, range, statistics, stem and leaf
Trigonometry (...)
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.
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
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.
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.
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.
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
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.
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
This activity allows the user to explore the polar coordinate system. The applet is similar to GraphIt, but instead allows users to explore the representation of a function in the polar coordinate system.
Related Topics: calculus, coordinate plane, coordinate system, cosine, data plot, graph, polar coordinates, pre-calculus, sine, tangent, trigonometry
Calculate the length of one side of an automatically generated right triangle by using the Pythagorean Theorem, and then check your answers. Pythagorean Explorer is one of the Interactivate assessment explorers.
Related Topics: algebra, angles, assessment, distance, exponents, geometry, length, pythagorean theorem, solving equations, squares, triangle, trigonometry
Learn about how the Pythagorean Theorem works through investigating the standard geometric proof. Parameters: Sizes of the legs of the triangle.
Related Topics: algebra, angles, area, coordinate plane, distance, geometry, length, pythagorean theorem, slides, solving equations, squares, triangle, triangles, trigonometry
Other (...)
Practice finding elapsed time given a starting time and an ending time. Elapsed Time is one of
the Interactivate assessment explorers.
Related Topics: addition, assessment, counting, elapsed time, subtraction, time
Given a starting time and elapsed time practice finding the ending time. Elapsed Time Two is one of the Interactivate assessment explorers.
Related Topics: addition, assessment, counting, elapsed time, subtraction, time
Sort colored shapes into a three circle Venn Diagram.
Related Topics: pattern, sets, venn diagram
Science (...)
Practice reading a clock, input times for the clock to display, or let the clock generate random times for you to read. Choose from three difficulty levels. Clock Wise is one of the Interactivate assessment explorers.
Related Topics: assessment, elapsed time, time
Classify various objects into categories in a Venn Diagram. Learn how categories in Venn Diagrams work. Venn Diagrams is one of the Interactivate assessment explorers.
Related Topics: assessment, sets, venn diagram
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