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831 results

3D Transmographer (Activity)

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.

A Better Fire!! (Activity)

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.

Adjustable Spinner (Activity)

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.

Adjustable Spinner Game Suggestions (Worksheet)

This worksheet is for use with the Adjustable Spinner activity (http://www.shodor.org/interactivate/activities/AdjustableSpinner/).

Advanced Fire (Activity)

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.

Advanced Fire (Lesson)

Lesson plan to help students understand independent and dependent variables through a fire probability simulation.

Advanced Fire Worksheet (Worksheet)

This worksheet is for use with the lesson Advanced Fire (http://www.shodor.org/interactivate/lessons/AdvancedFire/).

Advanced Fire Worksheet (doc) (Worksheet)

This worksheet is for use with the lesson Advanced Fire (http://www.shodor.org/interactivate/lessons/AdvancedFire/).

Advanced Monty Hall (Activity)

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.

Agent Modeling (Discussion)

Helps students to understand the differences and similarities between Agent Modeling and Systems Modeling.

Algebra Four (Activity)

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.

Algebra Quiz (Activity)

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.

Algorithm (Discussion)

Introduces the concept of algorithms and how algorithms affect mathematics.

Algorithm Discovery with Venn Diagrams (Lesson)

Students discover algorithms as they sort shapes into Venn diagrams. Then students compare the efficiency of their algorithms using box plots.

Angles (Activity)

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.

Angles (Discussion)

Reviews vocabulary and concepts related to the geometry of angles.

Angles (Lesson)

Introduces students to acute, obtuse, and right angles as well as relationships between angles formed by parallel lines crossed by a transversal.

Angles (Elementary) (Discussion)

Students will learn about classifying angles as acute, right, or obtuse.

Angles (elementary) (Lesson)

Students learn about classifying angles by their measure and in relation to angles formed by two lines crossed by a transversal.

Angles (Elementary) Worksheet (Worksheet)

This worksheet is for use with the Elementary Angles lesson plan (http://www.shodor.org/interactivate/lessons/AnglesElem/).

Angles Worksheet (Worksheet)

This worksheet is for use with the Angles lesson plan (http://www.shodor.org/interactivate/lessons/Angles/).

An Introduction To Quadrilaterals (Lesson)

Introduces students to quadrilaterals with an emphasis on defining characteristics of parallelograms, rectangles, and trapezoids.

Another Hilbert Curve Generator (Activity)

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.

Area (Discussion)

Looks at finding areas of irregular shapes on a grid.

Area (Lesson)

Comparing shapes with the same areas but different perimeters.

Area (elementary) (Lesson)

This lesson has students explore areas of rectangular and irregular shapes on a grid to help them understand the concept of area and the units in which area is measured.

Area Exploration Questions (Worksheet)

This worksheet is for use with the Area Explorer activity (http://www.shodor.org/interactivate/activities/AreaExplorer/).

Area Exploration Questions (doc) (Worksheet)

This worksheet is for use with the Area Explorer activity (http://www.shodor.org/interactivate/activities/AreaExplorer/).

Area Explorations (Lesson)

Helps students understand there are a variety of ways to solve problems. This lesson also gives students practice in using various methods to find the areas of irregular shapes.

Area Explorations Record Sheet (Worksheet)

This worksheet is for use with the lesson Area Explorations (http://www.shodor.org/interactivate/lessons/AreaExplorations/).

Area Explorer (Activity)

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.

Area Explorer Record Sheet (Worksheet)

This worksheet is for use with the Area Explorer activity (http://www.shodor.org/interactivate/activities/AreaExplorer/).

Area Record Sheet (Worksheet)

This worksheet is for use with the Area lesson plan (http://www.shodor.org/interactivate/lessons/Area/).

Arithmetic Four (Activity)

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.

Arithmetic Practice Problems (Worksheet)

This worksheet is for use with the Practicing Arithmetic lesson plan (http://www.shodor.org/interactivate/lessons/PracticingArithmetic/).

Arithmetic Quiz (Activity)

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.

Bar Graph (Activity)

Enter data to create a bar graph, then change many settings for the graph's appearance.

Bar Graph (Discussion)

Discusses the benefits of using a bar graph to examine data.

Bar Graph (Lesson)

Students learn what bar graphs are used for, how to interpret the data presented, and how to organize their own data using bar graphs.

Bar Graph Sorter (Activity)

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.

Base Ten (Discussion)

Discusses the base ten system and how it differs from other base number systems.

Bivariate Data Relations (Discussion)

Introduces positive and negative relationships and independent and dependent variables of bivariate data.

Bounded Fraction Finder (Activity)

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.

Bounded Fraction Pointer (Activity)

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.

Box Plot (Activity)

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.

Box Plot (Discussion)

How to build box plots, including the two different ways to determine interquartile range.

Box Plot Activity Questions (Worksheet)

This worksheet is for use with the Box Plot activity (http://www.shodor.org/interactivate/activities/BoxPlot/).

Box Plot Exploration Questions (Worksheet)

This worksheet is for use with the Box Plot activity (http://www.shodor.org/interactivate/activities/BoxPlot/).

Box Plots (Lesson)

Introduces students to quartiles and box plots.

Buffon's Needle (Activity)

Experiment with a simulation to get an approximation of Pi by dropping a needle on a lined sheet of paper.

Buffon's Needle Suggestions (Worksheet)

This worksheet is for use with the Buffon's Needle activity (http://www.shodor.org/interactivate/activities/Buffon/).

Buffon's Needle Suggestions (doc) (Worksheet)

This worksheet is for use with the Buffon's Needle activity (http://www.shodor.org/interactivate/activities/Buffon/).

Caesar Cipher (Activity)

Create your own affine cipher for encoding and decoding messages. Input your own constant and multiplier, then input a message to encode.

Caesar Cipher II (Activity)

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.

Caesar Cipher III (Activity)

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.

Cantor's Comb (Activity)

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.

Cartesian Coordinate System (Lesson)

Introduces students to plotting points on the Cartesian coordinate system -- an alternative to "Graphing and the Coordinate Plane."

Chaos (Discussion)

Introduces the notion of chaos as the breakdown in predictability.

Chaos (Lesson)

Students learn about the concepts and applications of chaos.

Chaos Game Exploration Questions (Worksheet)

This worksheet is for use with the Chaos Game activity (http://www.shodor.org/interactivate/activities/TheChaosGame/).

Chaos Game Exploration Questions (Worksheet)

This worksheet is for use with the Chaos Game activity (http://www.shodor.org/interactivate/activities/TheChaosGame/).

Chaos Game Transparency (Worksheet)

This worksheet is for use with the Chaos Game activity (http://www.shodor.org/interactivate/activities/TheChaosGame/).

Chaos Game Transparency (Worksheet)

This worksheet is for use with the Chaos Game activity (http://www.shodor.org/interactivate/activities/TheChaosGame/).

Chaos Game Transparency (doc) (Worksheet)

This worksheet is for use with the Chaos Game activity (http://www.shodor.org/interactivate/activities/TheChaosGame/).

Chaos is Everywhere (Discussion)

Shows the wide spread use of fractals and chaos in science and nature.

Circle Graph (Activity)

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.

Clock Arithmetic (Activity)

Work with various types of clocks in order to learn about modular arithmetic operations. Parameters: Number of hours on the clock.

Clock Arithmetic and Cryptography (Lesson)

Introduces students to modular (clock) arithmetic and how modular arithmetic can be used to encode messages using simple shift, multiple and affine ciphers.

Clock Wise (Activity)

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.

Clock Wise Exploration Questions (Worksheet)

This worksheet is for use with the Clock Wise activity (http://www.shodor.org/interactivate/activities/ClockWise/).

Clock Wise Record Sheet (Worksheet)

This worksheet is for use with the Clock Wise activity (http://www.shodor.org/interactivate/activities/ClockWise/).

Clock Wise Record Sheet (Worksheet)

This worksheet is for use with the Clock Wise activity (http://www.shodor.org/interactivate/activities/ClockWise/).

Coin Toss (Activity)

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.

Coin Toss Exploration Questions (Worksheet)

This worksheet is for use with the activity Coin Toss (http://www.shodor.org/interactivate/activities/Coin/).

Coloring Multiples Exploration Questions (Worksheet)

This worksheet is for use with the Coloring Multiples in Pascal's Triangle activity (http://www.shodor.org/interactivate/activities/ColoringMultiples/).

Coloring Multiples in Pascal's Triangle (Activity)

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.

Coloring Remainders Exploration Questions (Worksheet)

This worksheet is for use with the Coloring Remainders in Pascal's Triangle activity (http://www.shodor.org/interactivate/activities/ColoringRemainder/).

Coloring Remainders in Pascal's Triangle (Activity)

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.

Color in Tessellations (Discussion)

Explains the effect that color has on the patterns we see in tessellations.

Comparing Fractions (Discussion)

Introduces students to the basics of reducing fractions and learning to compare fractions.

Comparing Fractions (Lesson)

Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.

Comparison Estimator (Activity)

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.

Conditional Probability (Discussion)

Introduction of the concept of conditional probability and discussion of its application for problem solving.

Conic Derivation (Discussion)

Aids in the understanding of the geometric and algebraic derivations of conic sections.

Conic Flyer (Activity)

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.

Conic Flyer Exploration Questions (Worksheet)

This worksheet is for use with the Conic Flyer activity (http://www.shodor.org/interactivate/activities/ConicFlyer/).

Conic Flyer Worksheet (Worksheet)

This worksheet is for use with the lesson Conic Flyer (http://www.shodor.org/interactivate/lessons/ConicFlyer/).

Conic Flyer Worksheet (doc) (Worksheet)

This worksheet is for use with the lesson Conic Flyer (http://www.shodor.org/interactivate/lessons/ConicFlyer/).

Conic Sections (Discussion)

Aids in the understanding of the relationships among the various conic sections.

Connect the Dots (Worksheet)

This worksheet is for use with the Tessellate! activity (http://www.shodor.org/interactivate/activities/Tessellate/).

Connect the Dots (doc) (Worksheet)

This worksheet is for use with the Tessellate! activity (http://www.shodor.org/interactivate/activities/Tessellate/).

Connect the Dots Explorations (Worksheet)

This worksheet is for use with the Tessellate! activity (http://www.shodor.org/interactivate/activities/Tessellate/).

Converter (Activity)

Converts fractions to decimals and decimals to fractions. Observe the relationships between fractions and decimals.

Converter Explorations Questions (Worksheet)

This worksheet is for use with the Converter activity (http://www.shodor.org/interactivate/activities/Converter/).

Converting From Base Ten (Discussion)

Discusses methods of converting from the base ten system to another base number system.

Coordinates! Suggestions (Worksheet)

This worksheet is for use with the Simple Coordinates Game activity (http://www.shodor.org/interactivate/activities/SimpleCoordinates/).

Coordinates! Suggestions (doc) (Worksheet)

This worksheet is for use with the Simple Coordinates Game activity (http://www.shodor.org/interactivate/activities/SimpleCoordinates/).

Crazy Choices Exploration Questions (Worksheet)

This worksheet is for use with the Crazy Choices Game activity (http://www.shodor.org/interactivate/activities/CrazyChoicesGame/).

Crazy Choices Game (Activity)

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.

Crazy Choices Game Suggestions (Worksheet)

This worksheet is for use with the Crazy Choices Game activity (http://www.shodor.org/interactivate/activities/CrazyChoicesGame/).

Crazy Choices Game Suggestions (doc) (Worksheet)

This worksheet is for use with the Crazy Choices Game activity (http://www.shodor.org/interactivate/activities/CrazyChoicesGame/).

Crazy Choices Game Tally Table (Worksheet)

This worksheet is for use with the Crazy Choices Game activity (http://www.shodor.org/interactivate/activities/CrazyChoicesGame/).

Crazy Choices Game Tally Table (doc) (Worksheet)

This worksheet is for use with the Crazy Choices Game activity (http://www.shodor.org/interactivate/activities/CrazyChoicesGame/).

Cross Section Flyer (Activity)

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.

Cross Sections (Discussion)

Aids in the understanding of cross sections of three-dimensional objects.

Cross Sections (Lesson)

This lesson utilizes the concepts of cross-sections of three-dimensional figures to demonstrate the derivation of two-dimensional shapes.

Data Flyer (Activity)

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.

Data Flyer Exploration Questions (Worksheet)

This worksheet is for use with the Data Flyer activity (http://www.shodor.org/interactivate/activities/DataFlyer/).

Data Lesson Plan Sample Problems (Worksheet)

This worksheet is for use with the lesson Comparison of Univariate and Bivariate Data (http://www.shodor.org/interactivate/lessons/UnivariateBivariateData/).

Data Lesson Plan Sample Problems (doc) (Worksheet)

This worksheet is for use with the lesson Comparison of Univariate and Bivariate Data (http://www.shodor.org/interactivate/lessons/UnivariateBivariateData/).

Data Set: Digits of Pi (doc) (Worksheet)

This worksheet is for use with the Histogram activity (http://www.shodor.org/interactivate/activities/Histogram/).

Data Set: Old Faithful (doc) (Worksheet)

This worksheet is for use with the Histogram activity (http://www.shodor.org/interactivate/activities/Histogram/).

Decimals (Discussion)

Deals with converting fractions into decimals.

Derivate (Activity)

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

Derivate (Lesson)

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

Derivate Exploration Questions (Worksheet)

This worksheet is for use with the Derivate activity (http://www.shodor.org/interactivate/activities/Derivate/).

Derivate Exploration Questions (Worksheet)

This worksheet is for use with the Derivate activity (http://www.shodor.org/interactivate/activities/Derivate/).

Derivate Worksheet (Worksheet)

This worksheet is for use with the lesson Derivate (http://www.shodor.org/interactivate/lessons/Derivate/).

Derivate Worksheet (doc) (Worksheet)

This worksheet is for use with the lesson Derivate (http://www.shodor.org/interactivate/lessons/Derivate/).

Dice Table (Activity)

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.

Dimension and Scale (Discussion)

Discusses fractal dimension, how that dimension relates to scale, and the formula needed to calculate the fractal dimension of an object.

Dimension for Irregular Fractals (Discussion)

Discusses the problem of determining the fractal dimension of irregular fractals and how the scale is indeterminite in these fractals.

Directable Fire!! (Activity)

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.

Divisibility (Discussion)

The question of fairness in a game of two dice leads to the concept of divisibility.

Elapsed Time (Activity)

Practice finding elapsed time given a starting time and an ending time. Elapsed Time is one of the Interactivate assessment explorers.

Elapsed Time (Discussion)

Introduces the concept of elapsed time and teaches students how to calculate elapsed time.

Elapsed Time (Lesson)

Introduces students to elapsed time and how to calculate it.

Elapsed Time Record Sheet (Worksheet)

This worksheet is for use with the Elapsed Time activity (http://www.shodor.org/interactivate/activities/ElapsedTime/).

Elapsed Time Two (Activity)

Given a starting time and elapsed time practice finding the ending time. Elapsed Time Two is one of the Interactivate assessment explorers.

Elapsed Time Two (Discussion)

Teaches students how to calculate ending time given the starting time and elapsed time.

Elapsed Time Two (Lesson)

Students practice finding the ending time given the starting time and an elapsed time.

Elapsed Time Two Record Sheet (Worksheet)

This worksheet is for use with the lesson Elapsed Time Two (http://www.shodor.org/interactivate/lessons/ElapsedTimeTwo/).

Emerging Patterns (Lesson)

Students consider the patterns that emerge from agent models and geometric fractals.

Emerging Patterns Worksheet (Worksheet)

This worksheet is for use with the lesson Emerging Patterns (http://www.shodor.org/interactivate/lessons/EmergingPatterns/).

Emerging Patterns Worksheet (doc) (Worksheet)

This worksheet is for use with the lesson Emerging Patterns (http://www.shodor.org/interactivate/lessons/EmergingPatterns/).

Empty Pascal's Triangle (Worksheet)

This worksheet is for use with the lesson Finding Remainders in Pascal's Triangle (http://www.shodor.org/interactivate/lessons/FindingRemaindersinPascal/).

Energy (Discussion)

Introduces the concept of energy and the law of conservation of energy.

Equation Solver (Activity)

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.

Equivalent Fractions Finder (Activity)

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.

Equivalent Fractions Pointer (Activity)

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.

Estimating With Fire (Lesson)

Introduction to various estimation methods through the simulation of a forest fire.

Estimation (Lesson)

Students practice and improve upon their estimation skills.

Estimator (Activity)

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.

Estimator Exploration Questions (Worksheet)

This worksheet is for use with the Estimator activity (http://www.shodor.org/interactivate/activities/Estimator/).

Estimator Four (Activity)

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.

Estimator Quiz (Activity)

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.

Expected Value (Discussion)

Introduction and discussion of the concept of expected value.

Experimental Probability (Activity)

Experiment with probability using a fixed size section spinner, a variable section spinner, two regular 6-sided dice or customized dice.

Exponents and Logarithms (Discussion)

Gives an introduction to the concept of a logarithms and shows how logs can be used to calculate fractal dimension.

Extra Data Sets (Worksheet)

This worksheet is for use with the Histogram activity (http://www.shodor.org/interactivate/activities/Histogram/).

Extra Datasets (doc) (Worksheet)

This worksheet is for use with the Histogram activity (http://www.shodor.org/interactivate/activities/Histogram/).

Factorize (Activity)

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.

Factorize 2 (Activity)

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.

Factorize Exploration Questions (Worksheet)

This worksheet is for use with the Factorize activity (http://www.shodor.org/interactivate/activities/Factorize/).

Factors (Lesson)

Students learn about factoring by using manipulatives and computer applets.

Finding Patterns in Pascal's Triangle (Worksheet)

This worksheet is for use with the Finding Patterns in Pascal's Triangle lesson plan (http://www.shodor.org/interactivate/lessons/PatternsInPascal/).

Finding Residuals (Discussion)

Introduces how to calculate residuals of bivariate data.

Fire!! (Activity)

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.

Fire Assessment (Activity)

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.

Fire Assessment Worksheet (Worksheet)

This worksheet is for use with the lesson Estimating With Fire (http://www.shodor.org/interactivate/lessons/EstimatingWithFire/).

Fire Assessment Worksheet (doc) (Worksheet)

This worksheet is for use with the lesson Estimating With Fire (http://www.shodor.org/interactivate/lessons/EstimatingWithFire/).

Fire! Exploration Questions (Worksheet)

This worksheet is for use with the Fire! activity (http://www.shodor.org/interactivate/activities/Fire/).

Fire: Modeling Probability (Lesson)

Introduces students to probability simulation, allowing them to explore computer modeling while learning about probability.

Fire!, Probability, and Chaos (Lesson)

Utilizes and reinforces concepts of probability, mean, line plots, experimental data, and chaos in analyzing a forest fire simulation.

First Quadrant Grid 14x19 (Worksheet)

This worksheet is for use with the Ordered Simple Plot activity (http://www.shodor.org/interactivate/activities/OrderedSimplePlot/).

First Quadrant Grid 28x37 (Worksheet)

This worksheet is for use with the Ordered Simple Plot activity (http://www.shodor.org/interactivate/activities/OrderedSimplePlot/).

Fitted Normal Distribution (Activity)

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.

Flake Maker (Activity)

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.

Flake Maker Exploration Questions (Worksheet)

This worksheet is for use with the Flake Maker activity (http://www.shodor.org/interactivate/activities/FlakeMaker/).

Floor Tiles (Activity)

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.

Fractal Dimensions (Activity)

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.

Fraction Facts (Lesson)

Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.

Fraction Facts Practice Problems (Worksheet)

This worksheet is for use with the lesson Fraction Facts (http://www.shodor.org/interactivate/lessons/FractionFacts/).

Fraction Finder (Activity)

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.

Fraction Four (Activity)

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.

Fraction King (Lesson)

Students and teacher play a game called "Fraction King" to understand the idea of taking fractional parts of whole numbers then use manipulatives and several computer applets to cement the idea.

Fraction King (Worksheet)

This worksheet is for use with the Fraction King lesson plan (http://www.shodor.org/interactivate/lessons/FractionKing/).

Fraction Pointer (Activity)

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.

Fraction Quiz (Activity)

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.

Fractions (Discussion)

Discusses the introductory concept of a fraction.

Fraction Sorter (Activity)

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.

Fractured Pictures (Activity)

Generate complicated geometric fractals by specifying starting polygon and scale factor.

Functional Graphs (Lesson)

Students will graph input/output pairs from a simple linear function in order to gain an understanding of basic linear functions.

Functional Graphs Worksheet (Worksheet)

This worksheet is for use with the Functional Graphs lesson plan (http://www.shodor.org/interactivate/lessons/FunctionalGraphs/).

Functional Graphs Worksheet (doc) (Worksheet)

This worksheet is for use with the Functional Graphs lesson plan (http://www.shodor.org/interactivate/lessons/FunctionalGraphs/).

Function Flyer (Activity)

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.

Function Flyer Help (Worksheet)

This worksheet is for use with the Function Flyer activity (http://www.shodor.org/interactivate/activities/FunctionFlyer/).

Function Machine (Activity)

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.

Function Machine Game Suggestions (Worksheet)

This worksheet is for use with the Function Machine activity (http://www.shodor.org/interactivate/activities/FunctionMachine/).

Function Revolution (Activity)

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.

General Coordinates Game (Activity)

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.

General Coordinates! Suggestions (Worksheet)

This worksheet is for use with the General Coordinates Game activity (http://www.shodor.org/interactivate/activities/GeneralCoordinates/).

General Coordinates! Suggestions (doc) (Worksheet)

This worksheet is for use with the General Coordinates Game activity (http://www.shodor.org/interactivate/activities/GeneralCoordinates/).

Generalized Monty Hall (Activity)

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.

Graphit (Activity)

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

Graph Paper (Worksheet)

A supporting worksheet for Interactivate

Graph Sketcher (Activity)

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

Graph Sketcher Suggestions (Worksheet)

This worksheet is for use with the Graph Sketcher activity (http://www.shodor.org/interactivate/activities/GraphSketcher/).

Graph Sketcher Suggestions (doc) (Worksheet)

This worksheet is for use with the Graph Sketcher activity (http://www.shodor.org/interactivate/activities/GraphSketcher/).

Hilbert Curve Exploration Questions (Worksheet)

This worksheet is for use with the Hilbert Curve Generator activity (http://www.shodor.org/interactivate/activities/HilbertCurve/).

Hilbert Curve Generator (Activity)

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.

Histogram (Activity)

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.

Histogram Exploration Questions (Worksheet)

This worksheet is for use with the Histogram activity (http://www.shodor.org/interactivate/activities/Histogram/).

Ideas for Working with Fractions (Lesson)

Students get practice working with conversion of fractions, decimals, percents through using several of the Interactivate activities.

Identity Properties (Discussion)

Introduces the concepts of the additive identity and multiplicative identity and how they are used when solving equations.

Image Tool (Activity)

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.

Image Tool Exploration Questions (Worksheet)

This worksheet is for use with the Image Tool activity (http://www.shodor.org/interactivate/activities/ImageTool/).

Impossible Graphs (Discussion)

Shows what makes a graph represent impossible situations and how to avoid these problems.

Impossible Graphs (Lesson)

Teaches distinguishing between possible and impossible graphs of functions as well as causes of graphical impossibility.

Incline (Activity)

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.

Incline Exploration Questions (Worksheet)

This worksheet is for use with the activity Incline (http://www.shodor.org/interactivate/activities/Incline/).

Inequalities (Discussion)

Introduces students to linear inequalities.

Infinity and Iteration (Discussion)

Discusses infinity, iterations and limits by referencing fractals and sequences.

Integer (Discussion)

Introduces the concept of an integer.

InteGreat! (Activity)

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.

InteGreat (Lesson)

Students learn about definite integrals through limits and Riemann sums

InteGreat Worksheet (Worksheet)

This worksheet is for use with the lesson InteGreat (http://www.shodor.org/interactivate/lessons/InteGreat/).

InteGreat Worksheet (doc) (Worksheet)

This worksheet is for use with the lesson InteGreat (http://www.shodor.org/interactivate/lessons/InteGreat/).

Introduction to Bar Graphs (Lesson)

This lesson allows students to learn what bar graphs are used for, how to interpret the data presented, and how to organize their own data using bar graphs.

Inverse Properties (Discussion)

Introduces the concepts of the additive inverse and multiplicative inverse and how they are used when solving equations.

Irregular Fractals (Lesson)

Looks at how irregular fractals can be generated and how they fit into computer graphics.

Julia Set Exploration Questions (Worksheet)

This worksheet is for use with the Julia Sets activity (http://www.shodor.org/interactivate/activities/JuliaSets/).

Julia Sets (Activity)

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.

Koch's Snowflake (Activity)

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.

Life (Activity)

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.

Life Exploration Questions (Worksheet)

This worksheet is for use with the Life activity (http://www.shodor.org/interactivate/activities/Life/).

Life Lite (Activity)

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.

Life Lite Exploration Questions (Worksheet)

This worksheet is for use with the Life Lite activity (http://www.shodor.org/interactivate/activities/LifeLite/).

Linear Function Machine (Activity)

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.

Linear Function Machine Record Sheet (Worksheet)

This worksheet is for use with the Linear Function Machine activity (http://www.shodor.org/interactivate/activities/LinearFunctMachine/).

Linear Functions (Discussion)

Discusses functions of the form y = ___*x + ___.

Linear Inequalities (Activity)

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

Line of Best Fit (Discussion)

Introduces the line of best fit through the use of scatter plots with outliers.

Marbles (Activity)

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.

Marbles Exploration Questions (Worksheet)

This worksheet is for use with the Marbles activity (http://www.shodor.org/interactivate/activities/Marbles/).

Maze Game (Activity)

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.

Maze Game Suggestions (Worksheet)

This worksheet is for use with the Maze Game activity (http://www.shodor.org/interactivate/activities/MazeGame/).

Maze Game Suggestions (doc) (Worksheet)

This worksheet is for use with the Maze Game activity (http://www.shodor.org/interactivate/activities/MazeGame/).

Measures (Activity)

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.

Measures Exploration Questions (Worksheet)

This worksheet is for use with the Measures activity (http://www.shodor.org/interactivate/activities/Measures/).

Misleading Graphs (Lesson)

This lesson will challenge students to think creatively by having them design and build water balloon catchers from random scrap materials, while requiring them to take into consideration a multitude of variables. Students will then construct at least two bar graphs to be used in a commercial advocating the purchase of their group's catcher.

Mixtures (Activity)

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.

Mixtures (Worksheet)

This worksheet is for use with the Mixtures activity (http://www.shodor.org/interactivate/activities/Mixtures/).

Mixtures (doc) (Worksheet)

This worksheet is for use with the Mixtures activity (http://www.shodor.org/interactivate/activities/Mixtures/).

Modular Arithmetic (Lesson)

Introduces students to modular (clock) arithmetic and its uses in real world problem-solving.

Monty Hall Exploration Questions (Worksheet)

This worksheet is for use with the Generalized Monty Hall activity (http://www.shodor.org/interactivate/activities/GeneralizedMontyHall/).

Monty Hall Tally Table (Worksheet)

This worksheet is for use with the Generalized Monty Hall activity (http://www.shodor.org/interactivate/activities/GeneralizedMontyHall/), the Simple Monty Hall activity (http://www.shodor.org/interactivate/activities/SimpleMontyHall/), and the Advanced Monty Hall activity (http://www.shodor.org/interactivate/activities/AdvancedMontyHall/).

More or Less Estimator (Activity)

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.

Multi Bar Graph (Activity)

Enter data to create a double bar graph, then manipulate the graph's maximum and minimum values.

Multi Bar Graph Worksheet (Worksheet)

This worksheet is for use with the Multi Bar Graph activity (http://www.shodor.org/interactivate/activities/MultiBarGraph/).

Multi Bar Graph Worksheet (doc) (Worksheet)

This worksheet is for use with the Multi Bar Graph activity (http://www.shodor.org/interactivate/activities/MultiBarGraph/).

Multi-Function Data Flyer (Activity)

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.

Multiple Linear Regression (Activity)

Students compare multiple independent variables as predictors of one dependent variable. Students explore correlation and lines of best-fit.

Multiplying Decimal Numbers (Discussion)

A review of the definition of decimals as well as a description of multiplying decimal numbers.

Multiplying Fractions Worksheet (Worksheet)

This worksheet is for use with the Multiplying Fractions and Mixed Numbers lesson plan (http://www.shodor.org/interactivate/lessons/MultiplyingFractions/).

Multiplying Mixed Numbers Worksheet (Worksheet)

This worksheet is for use with the Multiplying Fractions and Mixed Numbers lesson plan (http://www.shodor.org/interactivate/lessons/MultiplyingFractions/).

Multiplying Mixed Numbers Worksheet (doc) (Worksheet)

This worksheet is for use with the Multiplying Fractions and Mixed Numbers lesson plan (http://www.shodor.org/interactivate/lessons/MultiplyingFractions/).

Multi-Step Functions (Discussion)

Discusses the notion of composite functions as several "number machines" with the output of one machine becoming the input of another.

Normal Distribution (Activity)

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.

Number Base Clocks (Activity)

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.

Number Base Clocks (Lesson)

Introduces students to the concept of base ten and how to use other base number systems.

Number Cruncher (Activity)

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.

Observation for Connect the Dots (Worksheet)

This worksheet is for use with the Tessellate! activity (http://www.shodor.org/interactivate/activities/Tessellate/).

One Step Algebra (Discussion)

Discusses processes for solving one step algebra problems.

Ordered Simple Plot (Activity)

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.

Ordered Simple Plot Diamond (Worksheet)

Sample figure drawn on a coordinate grid for use with Ordered Simple Plot Activity (http://www.shodor.org/interactivate/activities/OrderedSimplePlot/).

Ordered Simple Plot Heart (Worksheet)

Sample heart drawn on a coordinate grid for use with the Ordered Simple Plot Activity (http://www.shodor.org/interactivate/activities/OrderedSimplePlot/).

Ordered Simple Plot Hexagon (Worksheet)

Sample figure drawn on a coordinate grid for use with Ordered Simple Plot Activity (http://www.shodor.org/interactivate/activities/OrderedSimplePlot/).

Ordered Simple Plot House (Worksheet)

Sample heart drawn on a coordinate grid for use with the Ordered Simple Plot Activity (http://www.shodor.org/interactivate/activities/OrderedSimplePlot/).

Ordered Simple Plot Octagon (Worksheet)

Sample heart drawn on a coordinate grid for use with the Ordered Simple Plot Activity (http://www.shodor.org/interactivate/activities/OrderedSimplePlot/).

Ordered Simple Plot Square (Worksheet)

Sample square drawn on a coordinate grid for use with the Ordered Simple Plot Activity (http://www.shodor.org/interactivate/activities/OrderedSimplePlot/).

Ordered Simple Plot Star (Worksheet)

Sample heart drawn on a coordinate grid for use with the Ordered Simple Plot Activity (http://www.shodor.org/interactivate/activities/OrderedSimplePlot/).

Ordered Simple Plot Triangle (Worksheet)

Sample triangle drawn on a coordinate grid for use with the Ordered Simple Plot Activity (http://www.shodor.org/interactivate/activities/OrderedSimplePlot/).

Order of Operations Four (Activity)

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.

Order of Operations Four (Worksheet)

This worksheet is for use with the Order of Operations Four activity (http://www.shodor.org/interactivate/activities/OrderOfOperationsFou/).

Order of Operations Four (doc) (Worksheet)

This worksheet is for use with the Order of Operations Four activity (http://www.shodor.org/interactivate/activities/OrderOfOperationsFou/).

Order of Operations Quiz (Activity)

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.

Order of Operations Quiz (Worksheet)

This worksheet is for use with the Order of Operations Quiz activity (http://www.shodor.org/interactivate/activities/OperationsQuiz/).

Order of Operations Quiz (doc) (Worksheet)

This worksheet is for use with the Order of Operations Quiz activity (http://www.shodor.org/interactivate/activities/OperationsQuiz/).

Other Tessellations Explorations (Worksheet)

This worksheet is for use with the Floor Tiles activity (http://www.shodor.org/interactivate/activities/FloorTiles/).

Outliers (Discussion)

Explains how outliers affect data.

Overlapping Gaussians (Activity)

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.

Parallelograms (Discussion)

Introduces students to parallelograms and rhombbi and defines the characteristics necessary to determine each shape.

Parametric GraphIt (Activity)

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.

Pascal's Triangle (Discussion)

Introduces Pascal's Triangle in terms of probability.

Pascal's Triangle (Lesson)

Looks at how Pascal's Triangle can be used to generate Sierpinski triangle-like results.

Pascal's Triangle (black and white) (Worksheet)

This worksheet is for use with the Pascal's Triangle lesson plan (http://www.shodor.org/interactivate/lessons/PascalTriangle/).

Pascal Triangle (color) (Worksheet)

This image is for use with the Pascal's Triangle lesson plan (http://www.shodor.org/interactivate/lessons/PascalTriangle/).

Pattern (Discussion)

Introduces the idea of patterns in numbers and discusses sequences.

Pattern Generator (Activity)

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.

Patterns Exploration Questions (Worksheet)

This worksheet is for use with the Pattern Generator activity (http://www.shodor.org/interactivate/activities/PatternGenerator/).

Patterns Exploration Questions (doc) (Worksheet)

This worksheet is for use with the Pattern Generator activity (http://www.shodor.org/interactivate/activities/PatternGenerator/).

Patterns in Fractals (Lesson)

Introduces students to the idea of finding number patterns in the generation of several different types of fractals.

Patterns in Fractals Data Table (Worksheet)

This worksheet is for use with the Patterns in Fractals lesson plan (http://www.shodor.org/interactivate/lessons/PatternsInFractals/).

Patterns in Pascal's Triangle (Lesson)

Shows students that number patterns exist in the Pascal's Triangle, and reinforces student's ability to identify patterns.

Percents (Discussion)

Covers the basics of converting fractions into percents.

Perimeter (Lesson)

Introduces students to the concept of perimeter.

Perimeter Algorithm (Discussion)

Introduces a method for finding perimeters of irregular shapes on a grid.

Perimeter (elementary) (Lesson)

Students learn about perimeter and the units used to measure perimeter using a variety of materials including their hands, feet, rulers, and computer applets.

Perimeter Exploration Questions (Worksheet)

This worksheet is for use with the Perimeter Explorer activity (http://www.shodor.org/interactivate/activities/PerimeterExplorer/).

Perimeter Explorer (Activity)

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.

Perimeter Explorer (Discussion)

Introduces a method for finding perimeters of rectangular shapes on a grid.

Perimeter Explorer Record Sheet (Worksheet)

This worksheet is for use with the Perimeter Explorer activity (http://www.shodor.org/interactivate/activities/PerimeterExplorer/).

Pie Chart (Activity)

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.

Pie Chart (Discussion)

Discusses the benefits of using a pie chart.

Pie Chart Exploration Questions (Worksheet)

This worksheet is for use with the Pie Chart activity (http://www.shodor.org/interactivate/activities/PieChart/).

Place Value (Discussion)

Discusses what individual digits represent in multi-digit integers.

Playing with Probability (Lesson)

This lesson teaches students about theoretical and experimental probability through a series of work stations.

Playing with Probability (Worksheet)

This worksheet is for use with the Playing with Probability lesson plan (http://www.shodor.org/interactivate/lessons/PlayWithProbability/).

Plop It! (Activity)

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.

Plop It! Exploration Questions (Worksheet)

This worksheet is for use with the Plop It! activity (http://www.shodor.org/interactivate/activities/PlopIt/).

Polar Coordinates (Activity)

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.

Polar Coordinates (Discussion)

A discussion about what the polar coordinate system is and how to graph a point in this system.

Polar Coordinates (Lesson)

Introduces students to graphing in the Polar coordinate plane

Polyhedra (Discussion)

Questions about dice lead to a discussion of polyhedra and geometric probability.

Positive Linear Function Machine (Activity)

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.

Possible or Not (Activity)

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.

Practicing Arithmetic (Lesson)

Students practice arithmetic skills. Can be tailored for practice of all types of single operation arithmetic ranging from simple addition to operations with integers and decimals.

Printing Tessellation Images (Worksheet)

This worksheet is for use with the Tessellate! activity (http://www.shodor.org/interactivate/activities/Tessellate/).

Prisoners and Escapees--Julia Sets (Discussion)

Defines the notion of prisoners and escapees as they pertain to iterative functions. A prisoner ultimately changes to a constant while escapees iterate to infinity.

Probability (Lesson)

Students learn about probability by predicting the outcome of planned experiments and playing racing games.

Probability and Sports (Lesson)

Considers probability concepts on the basis of statistics in professional sports.

Probability: Playing with Fire (Lesson)

Students use probability to determine how likely it is for each tree in a small simulated forest to catch on fire.

Probability Worksheet (Worksheet)

This worksheet is for use with the Probability lesson plan (http://www.shodor.org/interactivate/lessons/Probability/).

Properties of Fractals (Lesson)

A capstone lesson to allow students to build a working definition of fractal.

Pythagorean Explorer (Activity)

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.

Pythagorean Theorem (Lesson)

Students learn how the Pythagorean Theorem works and how to apply it.

Quadrilaterals (Discussion)

Introduces students to quadrilaterals and defines the characteristics of the polygon.

Quadrilaterals Companion (Worksheet)

This worksheet is for use with the Introduction to Quadrilaterals lesson plan (http://www.shodor.org/interactivate/lessons/IntroQuadrilaterals/).

Quadrilaterals Companion (doc) (Worksheet)

This worksheet is for use with the Floor Tiles activity (http://www.shodor.org/interactivate/activities/FloorTiles/).

Rabbits and Wolves (Activity)

Experiment with a simple ecosystem consisting of grass, rabbits, and wolves, learning about probabilities, chaos, and simulation.

Racing Game Field (Worksheet)

This worksheet is for use with the Racing Game with One Die activity (http://www.shodor.org/interactivate/activities/RacingGameWithOneDie/) and/or the Racing Game with Two Dice activity (http://www.shodor.org/interactivate/activities/RacingGameWithTwoDie/).

Racing Game (One Die) Suggestions (Worksheet)

This worksheet is for use with the Racing Game with One Die activity (http://www.shodor.org/interactivate/activities/RacingGameWithOneDie/).

Racing Game (Two Dice) Suggestions (Worksheet)

This worksheet is for use with the Racing Game with Two Dice activity (http://www.shodor.org/interactivate/activities/RacingGameWithTwoDie/).

Racing Game with One Die (Activity)

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.

Racing Game with Two Dice (Activity)

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.

Reading Graphs (Lesson)

Demonstrates the connections between formulas, graphs and words.

Real World Data Sets (Worksheet)

This worksheet is for use with the Histogram activity (http://www.shodor.org/interactivate/activities/Histogram/).

Recognizing Patterns (Lesson)

Students learn to identify a variety of patterns using sequences and tessellations.

Rectangles (Discussion)

Introduces students to rectangles and squares and defines the characteristics necessary to determine each shape.

Recursion (Activity)

Graph recursive functions by defining f(0)=C and defining f(n) based on f(n-1).

Recursion (Discussion)

Discusses the idea of recursion as it pertains to fractals and sequences.

Recursion Exploration Questions (Worksheet)

This worksheet is for use with the Recursion activity (http://www.shodor.org/interactivate/activities/Recursion/).

Regression (Activity)

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.

Regression Exploration Questions (Worksheet)

This worksheet is for use with the Regression activity (http://www.shodor.org/interactivate/activities/Regression/).

Replacement (Discussion)

Extends the notion of conditional probability by discussing the effects of replacement on drawing multiple objects.

Replacement and Probability (Lesson)

Extends the notion of conditional probability by discussing the effects of replacement on drawing multiple objects.

Sample Problems on Data Abuse (Worksheet)

This worksheet is for use with the Statistics and Shopping lesson plan (http://www.shodor.org/interactivate/lessons/StatisticsShopping/).

Samples Set of Angles (Worksheet)

This worksheet is for use with the activity Angles (http://www.shodor.org/interactivate/lessons/Angles/).

Scales and Impression (Worksheet)

This worksheet is for use with Histogram (http://www.shodor.org/interactivate/activities/Histogram/).

Scales and Impression (doc) (Worksheet)

This worksheet is for use with the Histograms and Bar Graphs lesson plan (http://www.shodor.org/interactivate/lessons/HistogramsBarGraph/).

Scatter Plot (Activity)

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.

Scatter Plot Record Sheet(Large) (Worksheet)

This worksheet is for use with the Scatter Plot activity (http://www.shodor.org/interactivate/activities/ScatterPlot/).

Scatter Plot Record Sheet(small) (Worksheet)

This worksheet is for use with the Scatter Plot activity (http://www.shodor.org/interactivate/activities/ScatterPlot/).

Self-Similarity (Discussion)

Discusses how fractals are self-similar objects.

Sequencer (Activity)

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.

Sequencer Exploration Questions (Worksheet)

This worksheet is for use with the Sequencer activity (http://www.shodor.org/interactivate/activities/Sequencer/).

Sets (Discussion)

Gives an introduction to sets and elements.

Sets and The Venn Diagram (Beginner) (Lesson)

This lesson is designed to introduce students to the idea of a set and what it means to be a part of a set. Students will experiment with sets in conjunction with the Venn Diagram.

Sets (Beginner) (Discussion)

Introduces elementary students to sets and elements using shapes.

Shape Builder (Activity)

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.

Shape Explorer (Activity)

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.

Shape Explorer (Discussion)

Introduces students to finding areas and perimeters of irregular shapes on a grid.

Shape Explorer Record Sheet (Worksheet)

This worksheet is for use with the Shape Explorer activity (http://www.shodor.org/interactivate/activities/ShapeExplorer/).

Shape Sorter Exploration Questions (Worksheet)

This worksheet is for use with the activity Venn Diagram Shape Sorter (http://www.shodor.org/interactivate/activities/ShapeSorter/).

Shape Sort Golf Scorecard (Worksheet)

This worksheet is for use with Venn Diagram Shape Sorter (http://www.shodor.org/interactivate/activities/ShapeSorter/).

Sierpinski's Carpet (Activity)

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.

Sierpinski's Triangle (Activity)

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.

Simple Coordinates Game (Activity)

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.

Simple Coordinates Game Record Sheet (Worksheet)

This worksheet is for use with the Simple Coordinates Game activity (http://www.shodor.org/interactivate/activities/SimpleCoordinates/).

Simple Maze Game (Activity)

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.

Simple Maze Game Record Sheet (Worksheet)

This worksheet is for use with the Simple Maze Game activity (http://www.shodor.org/interactivate/activities/SimpleMazeGame/).

Simple Monty Hall (Activity)

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.

Simple Plot (Activity)

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.

Simple Plot Exploration Questions (Worksheet)

This worksheet is for use with the Simple Plot activity (http://www.shodor.org/interactivate/activities/SimplePlot/).

Simple Plot Record Sheet(large) (Worksheet)

This worksheet is for use with the Simple Plot activity (http://www.shodor.org/interactivate/activities/SimplePlot/).

Simple Plot Record Sheet(small) (Worksheet)

This worksheet is for use with the Simple Plot activity (http://www.shodor.org/interactivate/activities/SimplePlot/).

Single Fraction Finder (Activity)

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.

Single Fraction Pointer (Activity)

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.

Skew Distribution (Activity)

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.

Skewness Exploration Questions (Worksheet)

This worksheet is for use with the Skew Distribution activity (http://www.shodor.org/interactivate/activities/SkewDistribution/).

Skewness Exploration Questions (doc) (Worksheet)

This worksheet is for use with the Skew Distribution activity (http://www.shodor.org/interactivate/activities/SkewDistribution/).

Slant Height (Discussion)

Introduces the concept of the slant height of a triangle and how to find its measure using the Pythagorean theorem.

Slope Slider (Activity)

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.

Slope Slider Record Sheet (Worksheet)

This worksheet is for use with the Slope Slider activity (http://www.shodor.org/interactivate/activities/SlopeSlider/).

Slope Slider Record Sheet(large) (Worksheet)

This worksheet is for use with the Slope Slider activity (http://www.shodor.org/interactivate/activities/SlopeSlider/).

Solving Equations (Lesson)

Introduction to various algorithms for solving single-variable, linear equations.

Solving Equations Worksheet (Worksheet)

This worksheet is for use with the lesson Solving Equations (http://www.shodor.org/interactivate/lessons/SolvingEquations/).

Solving Equations Worksheet (doc) (Worksheet)

This worksheet is for use with the lesson Solving Equations (http://www.shodor.org/interactivate/lessons/SolvingEquations/).

Spinner (Activity)

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.

Spinner Experiments Tally Table (Worksheet)

This experiment is for use with the Adjustable Spinner activity (http://www.shodor.org/interactivate/activities/AdjustableSpinner/).

Spinner Exploration Questions (Worksheet)

This worksheet is for use with the Spinner activity (http://www.shodor.org/interactivate/activities/BasicSpinner/).

Spread of Disease (Activity)

Models how a population of susceptible, infected, and recovered people is affected by a disease.

Spy Game (Lesson)

Students will learn about modular arithmetic in order to decipher encrypted messages.

Squaring the Triangle (Activity)

Learn about how the Pythagorean Theorem works through investigating the standard geometric proof. Parameters: Sizes of the legs of the triangle.

Squaring the Triangle (Discussion)

Introduces students to the Pythagorean theorem with explanations on what it means and how to use it.

Standard Deviation (Discussion)

Introduces standard deviaton and describes how to compute it.

Statistics and Shopping (Lesson)

Looks at statistics and data analysis concepts from the practical questions that arise in everyday life.

Stem-and-Leaf Plots (Lesson)

Introduces students to stem-and-leaf plots and calculating the mean, median, and mode from the plots.

Stem and Leaf Plotter (Activity)

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.

Stopwatch (Activity)

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.

Stopwatch Exploration Questions (Worksheet)

This worksheet is for use with the Stopwatch activity (http://www.shodor.org/interactivate/activities/Stopwatch/).

Surface Area and Volume (Activity)

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.

Surface Area of Prisms (Lesson)

This lesson teaches students how to find the surface area of non-rectangular prisms.

Tables and Chairs (Activity)

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.

Tessellate! (Activity)

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.

Tessellate Data Table (Worksheet)

This worksheet is for use with the Tessellate! activity (http://www.shodor.org/interactivate/activities/Tessellate/).

Tessellate Data Table (doc) (Worksheet)

This worksheet is for use with the Tessellate! activity (http://www.shodor.org/interactivate/activities/Tessellate/).

Tessellate On Paper (Worksheet)

This worksheet is for use with Tessellate (http://www.shodor.org/interactivate/activities/Tessellate/).

Tessellation Explorations (Worksheet)

This worksheet is for use with the Tessellate! activity (http://www.shodor.org/interactivate/activities/Tessellate/).

Tessellation Explorations (doc) (Worksheet)

This worksheet is for use with the Tessellate! activity (http://www.shodor.org/interactivate/activities/Tessellate/).

Tessellations in the World (Discussion)

Looks at the history of tessellations, why they are important and examines some patterns in nature and art.

The Bell Curve (Lesson)

Introduces the normal distribution and looks at the bell curve controversy.

"The Bell Curve" Revisited (Discussion)

Finishes up the discussion of the book as well as exploring individual differences versus group expected values.

The Chaos Game (Activity)

Play the Chaos Game by experimenting with probabilities. Learn about an apparently random process with a not-so-random, geometric fractal result.

The Mandelbrot Set (Activity)

Explore fractals by investigating the relationships between the Mandelbrot set and Julia sets.

The Mandelbrot Set (Discussion)

Shows how the set of all Julia Sets are used to create the classic Mandelbrot fractal.

The Mandelbrot Set (Lesson)

Introduces all of the 2 variable function and prisoner/escapee notions necessary to understand the Mandelbrot set.

Think and Check! (Discussion)

Some problems are tricky; probability theory provides unique ways to check solutions.

Tortoise and Hare Race (Activity)

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.

Transformations (Elementary) (Lesson)

This lesson shows elementary students how they can know, for certain, that rigid motions like reflections, rotations, and translations create a shape congruent to the original.

Transformations Worksheet (Worksheet)

This worksheet is for use with the Elementary Transformations lesson (http://www.shodor.org/interactivate/lessons/TransformationsElem/).

Transformations Worksheet (doc) (Worksheet)

This worksheet is for use with the Elementary Transformations lesson (http://www.shodor.org/interactivate/lessons/TransformationsElem/).

Translations, Reflections, and Rotations (Worksheet)

This worksheet is for use with the Translations, Reflections, and Rotations lesson plan (http://www.shodor.org/interactivate/lessons/TranslationsReflectionsRotations/).

Transmographer (Activity)

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.

Transmographer 2 (Activity)

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

Trapezoids (Discussion)

Introduces students to trapezoids and isosceles trapezoids and defines the characteristics necessary to determine each shape.

Trees as Data Structures (Discussion)

Questions about games with more than two dice lead to discussion of trees as another kind of data structure.

Triangle Area (Lesson)

Students learn about finding the area of a triangle.

Triangle Explorer (Activity)

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.

Triangle Explorer Record Sheet (Worksheet)

This worksheet is for use with the Triangle Explorer activity (http://www.shodor.org/interactivate/activities/TriangleExplorer/).

Two Colors Applet (Activity)

Choose one of three boxes and choose one ball from the box to look at conditional probabilities. Parameters: Number of trials.

Two Colors Game Suggestions (Worksheet)

This worksheet is for use with the Two Colors Applet activity (http://www.shodor.org/interactivate/activities/TwoColors/).

Two Colors Game Suggestions (doc) (Worksheet)

This worksheet is for use with the Two Colors Applet activity (http://www.shodor.org/interactivate/activities/TwoColors/).

Two Colors Tally Sheet (Worksheet)

This worksheet is for use with the Two Colors Applet activity (http://www.shodor.org/interactivate/activities/TwoColors/).

Two Dice Race Tally Table (Worksheet)

This worksheet is for use with the Racing Game with Two Dice (http://www.shodor.org/interactivate/activities/RacingGameWithTwoDie/).

Two Dice Table Game Suggestions (Worksheet)

This worksheet is for use with the Dice Table activity (http://www.shodor.org/interactivate/activities/DiceTable/).

Two Steps to the Finish Tally Table (Worksheet)

This worksheet is for use with the Racing Game with One Die activity (http://www.shodor.org/interactivate/activities/RacingGameWithOneDie/).

Two Variable Function Pump (Activity)

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.

Two Variable Functions (Discussion)

Introduces 2 variable functions as ordered pairs and how to operate perform operations on ordered pairs.

Unexpected Answers (Lesson)

Considers probability problems with unexpected and surprising answers.

Univariate and Bivariate Data (Lesson)

Students learn about the difference between univariate and bivariate data and understand how to choose the best graph to display the data.

Venn Diagram Algorithm Worksheet (Worksheet)

This worksheet is for use with the lesson Algorithm Discovery with Venn Diagrams (http://www.shodor.org/interactivate/lessons/AlgorithmDiscovery/).

Venn Diagram Algorithm Worksheet (doc) (Worksheet)

This worksheet is for use with the lesson Algorithm Discovery with Venn Diagrams (http://www.shodor.org/interactivate/lessons/AlgorithmDiscovery/).

Venn Diagram Exploration Questions (Worksheet)

This worksheet is for use with the activity Venn Diagrams (http://www.shodor.org/interactivate/activities/VennDiagrams/).

Venn Diagrams (Activity)

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.

Venn Diagrams (Discussion)

Introduces concepts needed to create Venn diagrams.

Venn Diagrams (Lesson)

Help students learn about classifying numbers into various categories through answering questions about Venn Diagrams.

Venn Diagram Shape Sorter (Activity)

Sort colored shapes into a Venn diagram based on various characteristics. Venn Diagram Shape Sorter is one of the Interactivate assessment explorers.

Vertical Line Test (Activity)

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.

Volume of Prisms (Lesson)

This lesson teaches students how to find the volume of non-rectangular prisms.

Water Balloon Data Catcher Sheet (Worksheet)

This worksheet is for use with the Misleading Graphs lesson plan (http://www.shodor.org/interactivate/lessons/MisleadingGraphs/).

What's Your Angle? (Worksheet)

This worksheet is for use with the Angles lesson plan (http://www.shodor.org/interactivate/activities/Angles/).

Whole Number Cruncher (Activity)

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.

Working with Remainders Answer Sheet (Worksheet)

This worksheet is for use with the activity Coloring Remainders in Pascal's Triangle (http://www.shodor.org/interactivate/activities/ColoringRemainder/).

Working with Remainders Answer Sheet (doc) (Worksheet)

This worksheet is for use with the activity Coloring Remainders in Pascal's Triangle (http://www.shodor.org/interactivate/activities/ColoringRemainder/).

Working with Remainders Worksheet (Worksheet)

This worksheet is for use with the activity Coloring Remainders in Pascal's Triangle (http://www.shodor.org/interactivate/activities/ColoringRemainder/).

Working with Remainders Worksheet (doc) (Worksheet)

This worksheet is for use with the activity Coloring Remainders in Pascal's Triangle (http://www.shodor.org/interactivate/activities/ColoringRemainder/).

Worksheet to Accompany Data Lesson Plan (Worksheet)

This worksheet is for use with the lesson Comparison of Univariate and Bivariate Data (http://www.shodor.org/interactivate/lessons/UnivariateBivariateData/).