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.
Introduces students to modular (clock) arithmetic and how modular arithmetic can be used to encode messages using simple shift, multiple and affine ciphers.
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.
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.
This worksheet is for use with the activity Coloring Remainders in Pascal's Triangle (http://www.shodor.org/interactivate/activities/ColoringRemainder/).
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.
Sample heart drawn on a coordinate grid for use with the Ordered Simple Plot Activity (http://www.shodor.org/interactivate/activities/OrderedSimplePlot/).
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.
This worksheet is for use with the Coloring Remainders in Pascal's Triangle activity (http://www.shodor.org/interactivate/activities/ColoringRemainder/).
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.
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.
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.
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.
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.
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.
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.
Sample heart drawn on a coordinate grid for use with the Ordered Simple Plot Activity (http://www.shodor.org/interactivate/activities/OrderedSimplePlot/).
Sample square drawn on a coordinate grid for use with the Ordered Simple Plot Activity (http://www.shodor.org/interactivate/activities/OrderedSimplePlot/).
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.
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.
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.
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.
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.
This worksheet is for use with the activity Coloring Remainders in Pascal's Triangle (http://www.shodor.org/interactivate/activities/ColoringRemainder/).
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.
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.
Sample triangle drawn on a coordinate grid for use with the Ordered Simple Plot Activity (http://www.shodor.org/interactivate/activities/OrderedSimplePlot/).
This worksheet is for use with the Coloring Multiples in Pascal's Triangle activity (http://www.shodor.org/interactivate/activities/ColoringMultiples/).
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.
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.
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.
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.
Students create linear inequalities and systems of linear inequalities on a coordinate plane. This is like a graphing calculator with advanced viewing options.
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.
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.
Sample heart drawn on a coordinate grid for use with the Ordered Simple Plot Activity (http://www.shodor.org/interactivate/activities/OrderedSimplePlot/).
This worksheet is for use with the Coloring Multiples in Pascal's Triangle activity (http://www.shodor.org/interactivate/activities/ColoringMultiples/).
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.
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.
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.
This worksheet is for use with the Coloring Remainders in Pascal's Triangle activity (http://www.shodor.org/interactivate/activities/ColoringRemainder/).
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.
This worksheet is for use with the activity Coloring Remainders in Pascal's Triangle (http://www.shodor.org/interactivate/activities/ColoringRemainder/).
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.
Sample heart drawn on a coordinate grid for use with the Ordered Simple Plot Activity (http://www.shodor.org/interactivate/activities/OrderedSimplePlot/).
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.
Sample figure drawn on a coordinate grid for use with Ordered Simple Plot Activity (http://www.shodor.org/interactivate/activities/OrderedSimplePlot/).
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.
Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
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.
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.
This worksheet is for use with the activity Coloring Remainders in Pascal's Triangle (http://www.shodor.org/interactivate/activities/ColoringRemainder/).
This worksheet is for use with the Translations, Reflections, and Rotations lesson plan (http://shodor.org/interactivate/lessons/TranslationsReflectionsRotations/).
This worksheet is for use with the Translations, Reflections, and Rotations lesson plan (http://www.shodor.org/interactivate/lessons/TranslationsReflectionsRotations/).
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.
