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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.
This worksheet is for use with the Arithmetic Quiz activity (http://www.shodor.org/interactivate/activities/ArithmeticQuiz/).
This worksheet is for use with the Arithmetic Four activity (http://www.shodor.org/interactivate/activities/ArithmeticFour/).
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.
This discussion shows students how to multiply with fractions and mixed numbers.
Reinforces skills associated with multiplying fractions and mixed numbers.
This worksheet is for use with the Multiplying Fractions and Mixed Numbers lesson plan (http://www.shodor.org/interactivate/lessons/MultiplyingFractions/).
This worksheet is for use with the Arithmetic Four activity (http://www.shodor.org/interactivate/activities/ArithmeticFour/).
This worksheet is for use with the Multiplying Fractions and Mixed Numbers lesson plan (http://www.shodor.org/interactivate/lessons/MultiplyingFractions/).
This worksheet is for use with the Multiplying Fractions and Mixed Numbers lesson plan (http://www.shodor.org/interactivate/lessons/MultiplyingFractions/).
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.
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.
This worksheet is for use with the Whole Number Cruncher activity (http://www.shodor.org/interactivate/activities/WholeNumberCruncher/).
This worksheet is for use with the Number Base Clocks activity (http://www.shodor.org/interactivate/activities/NumberBaseClocks/).
This worksheet is for use with the Whole Number Cruncher activity (http://www.shodor.org/interactivate/activities/WholeNumberCruncher/).
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.
This worksheet is for use with the Fraction Finder activity (http://www.shodor.org/interactivate/activities/FractionFinder/).
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.
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.
Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
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.
What are Remainders (Discussion)
Reviews long division of integers and modular arithmetic.
This worksheet is for use with the Fraction Pointer activity (http://www.shodor.org/interactivate/activities/FractionPointer/).
This worksheet is for use with the Fraction Four activity (http://www.shodor.org/interactivate/activities/FractionFour/).
This worksheet is for use with the Fraction Four activity (http://www.shodor.org/interactivate/activities/FractionFour/).
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.
This worksheet is for use with the activity Coloring Remainders in Pascal's Triangle (http://www.shodor.org/interactivate/activities/ColoringRemainder/).
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.
This worksheet is for use with the Coloring Multiples in Pascal's Triangle activity (http://www.shodor.org/interactivate/activities/ColoringMultiples/).
This worksheet is for use with the Bounded Fraction Pointer activity (http://www.shodor.org/interactivate/activities/BoundFractionPointer/).
This worksheet is for use with the Ideas for Working with Fractions lesson plan (http://www.shodor.org/interactivate/lessons/WorkWithFractions/).
In this lesson, students explore sets, elements, and Venn diagrams.
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.
This worksheet is for use with the Equivalent Fractions Pointer activity (http://www.shodor.org/interactivate/activities/EquivFractionPointer/).
Students learn how to convert from fractions to decimals.
This worksheet is for use with the Equivalent Fractions Pointer activity (http://www.shodor.org/interactivate/activities/EquivFractionPointer/).
This worksheet is for use with the Patterns in Pascal's Triangle lesson plan (http://www.shodor.org/interactivate/lessons/PatternsInPascal/).
This worksheet is for use with the Bounded Fraction Pointer activity (http://www.shodor.org/interactivate/activities/BoundFractionFinder/).
This worksheet is for use with the Fraction Quiz activity (http://www.shodor.org/interactivate/activities/FractionQuiz/).
Factors (Lesson)
Students learn about factoring by using manipulatives and computer applets.
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.
This worksheet is for use with the Converter activity (http://www.shodor.org/interactivate/activities/Converter/).
This worksheet is for use with the Fraction Quiz activity (http://www.shodor.org/interactivate/activities/FractionQuiz/).
This worksheet is for use with the Equivalent Fractions Finder activity (http://www.shodor.org/interactivate/activities/EquivFractionFinder/).
This worksheet is for use with the Fraction Sorter activity (http://www.shodor.org/interactivate/activities/FractionSorter/).
Venn Diagrams (Lesson)
Help students learn about classifying numbers into various categories through answering questions about Venn Diagrams.
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.
This worksheet is for use with the Coloring Remainders in Pascal's Triangle activity (http://www.shodor.org/interactivate/activities/ColoringRemainder/).
Uses modular (clock) arithmetic to find patterns in Pascal's Triangle.
This worksheet is for use with the Bounded Fraction Pointer activity (http://www.shodor.org/interactivate/activities/BoundFractionPointer/).
This worksheet is for use with the Fraction Finder activity (http://www.shodor.org/interactivate/activities/FractionFinder/).
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.
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.
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.
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.
This worksheet is for use with the Equivalent Fractions Finder activity (http://www.shodor.org/interactivate/activities/EquivFractionFinder/).
This worksheet is for use with the Equivalent Fractions Finder activity (http://www.shodor.org/interactivate/activities/EquivFractionFinder/).
Shows students that number patterns exist in the Pascal's Triangle, and reinforces student's ability to identify patterns.
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.
This worksheet is for use with the Order of Operations Four activity (http://www.shodor.org/interactivate/activities/OrderOfOperationsFou/).
This worksheet is for use with the Fraction Sorter activity (http://www.shodor.org/interactivate/activities/FractionSorter/).
This worksheet is for use with the Finding Patterns in Pascal's Triangle lesson plan (http://www.shodor.org/interactivate/lessons/PatternsInPascal/).
This worksheet is for use with the Number Cruncher activity (http://www.shodor.org/interactivate/activities/NumberCruncher/).
This worksheet is for use with the activity Coloring Remainders in Pascal's Triangle (http://www.shodor.org/interactivate/activities/ColoringRemainder/).
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.
This worksheet is for use with the Order of Operations Four activity (http://www.shodor.org/interactivate/activities/OrderOfOperationsFou/).
This worksheet is for use with the Order of Operations Quiz activity (http://www.shodor.org/interactivate/activities/OperationsQuiz/).
Different methods for random fair choice between several numbers.
This worksheet is for use with the Number Cruncher activity (http://www.shodor.org/interactivate/activities/NumberCruncher/).
This worksheet is for use with the Fraction Pointer activity (http://www.shodor.org/interactivate/activities/FractionPointer/).
Integer Division (Discussion)
Introduces the division of integers.
This worksheet is for use with the Converter activity (http://www.shodor.org/interactivate/activities/Converter/).
Order of Operations (Discussion)
Introduces the convention of order of operations.
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 Equivalent Fractions Pointer activity (http://www.shodor.org/interactivate/activities/EquivFractionPointer/).
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.
This worksheet is for use with the Fraction Finder activity (http://www.shodor.org/interactivate/activities/FractionFinder/).
Fraction Facts (Lesson)
Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.
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.
This worksheet is for use with the Bounded Fraction Pointer activity (http://www.shodor.org/interactivate/activities/BoundFractionPointer/).
This worksheet is for use with the Finding Patterns in Pascal's Triangle lesson plan (http://www.shodor.org/interactivate/lessons/PatternsInPascal/).
What are Multiples (Discussion)
Discusses integer multiples as repeated addition.
Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.
This worksheet is for use with the Coloring Multiples in Pascal's Triangle activity (http://www.shodor.org/interactivate/activities/ColoringMultiples/).
A review of the definition of decimals as well as a description of multiplying decimal numbers.
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.
Looks at how Pascal's Triangle can be used to generate Sierpinski triangle-like results.
Introduces the addition and subtraction of integers.
This worksheet is for use with the Number Base Clocks activity (http://www.shodor.org/interactivate/activities/NumberBaseClocks/).
This worksheet is for use with the Pascal's Triangle lesson plan (http://www.shodor.org/interactivate/lessons/PascalTriangle/).
This worksheet is for use with the Factorize activity (http://www.shodor.org/interactivate/activities/Factorize/).
This worksheet is for use with the Fraction Sorter activity (http://www.shodor.org/interactivate/activities/FractionSorter/).
Converter (Activity)
Converts fractions to decimals and decimals to fractions. Observe the relationships between fractions and decimals.
Comparing Fractions (Discussion)
Introduces students to the basics of reducing fractions and learning to compare fractions.
This image is for use with the Pascal's Triangle lesson plan (http://www.shodor.org/interactivate/lessons/PascalTriangle/).
Students get practice working with conversion of fractions, decimals, percents through using several of the Interactivate activities.
This worksheet is for use with the lesson Finding Remainders in Pascal's Triangle (http://www.shodor.org/interactivate/lessons/FindingRemaindersinPascal/).
This worksheet is for use with the Fraction Pointer activity (http://www.shodor.org/interactivate/activities/FractionPointer/).
This worksheet is for use with the Bounded Fraction Pointer activity (http://www.shodor.org/interactivate/activities/BoundFractionPointer/).
This worksheet is for use with the Bounded Fraction Finder activity (http://www.shodor.org/interactivate/activities/BoundFractionFinder/).
Integer Multiplication (Discussion)
Introduces the multiplication of integers.
This worksheet is for use with the Equivalent Fractions Pointer activity (http://www.shodor.org/interactivate/activities/EquivFractionPointer/).
Finding Factors (Lesson)
Finding the factors of whole numbers.
This worksheet is for use with the lesson Fraction Facts (http://www.shodor.org/interactivate/lessons/FractionFacts/).
This worksheet is for use with the lesson Fraction Facts (http://www.shodor.org/interactivate/lessons/FractionFacts/).
Pattern (Discussion)
Introduces the idea of patterns in numbers and discusses sequences.
This worksheet is for use with the Coloring Remainders in Pascal's Triangle activity (http://www.shodor.org/interactivate/activities/ColoringRemainder/).
Introduces students to the concept of base ten and how to use other base number systems.
This worksheet is for use with the Tortoise and Hare Race activity (http://www.shodor.org/interactivate/activities/Tortoise/).
This worksheet is for use with the Fraction Pointer activity (http://www.shodor.org/interactivate/activities/FractionPointer/).
This worksheet is for use with the Ideas for Working with Fractions lesson plan (http://www.shodor.org/interactivate/lessons/WorkWithFractions/).
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.
This worksheet is for use with the Bounded Fraction Pointer activity (http://www.shodor.org/interactivate/activities/BoundFractionPointer/).
Fractions (Discussion)
Discusses the introductory concept of a fraction.
Students learn how to convert from fractions to percentages.
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 Fraction Sorter activity (http://www.shodor.org/interactivate/activities/FractionSorter/).
This worksheet is for use with the Factorize activity (http://www.shodor.org/interactivate/activities/Factorize/).
This worksheet is for use with the Equivalent Fractions Finder activity (http://www.shodor.org/interactivate/activities/EquivFractionFinder/).
This worksheet is for use with the Order of Operations Quiz activity (http://www.shodor.org/interactivate/activities/OperationsQuiz/).
This worksheet is for use with the Tortoise and Hare Race activity (http://www.shodor.org/interactivate/activities/Tortoise/).
This worksheet is for use with the Fraction King lesson plan (http://www.shodor.org/interactivate/lessons/FractionKing/).
This worksheet is for use with the Bounded Fraction Pointer activity (http://www.shodor.org/interactivate/activities/BoundFractionPointer/).
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.
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.
This worksheet is for use with the Recursion activity (http://www.shodor.org/interactivate/activities/Recursion/).
This worksheet is for use with the Flake Maker activity (http://www.shodor.org/interactivate/activities/FlakeMaker/).
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.
Introduces students to modular (clock) arithmetic and how modular arithmetic can be used to encode messages using simple shift, multiple and affine ciphers.
This worksheet is for use with the Sierpinski's Triangle activity (http://www.shodor.org/interactivate/activities/SierpinskiTriangle/).
This worksheet is for use with the Venn Diagram Shape Sorter activity (http://www.shodor.org/interactivate/activities/ShapeSorter/).
Sets (Discussion)
Gives an introduction to sets and elements.
This worksheet is for use with the Estimator Quiz activity (http://www.shodor.org/interactivate/activities/EstimatorQuiz/).
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.
Students discover algorithms as they sort shapes into Venn diagrams. Then students compare the efficiency of their algorithms using box plots.
This worksheet is for use with the activity Clock Arithmetic (http://www.shodor.org/interactivate/activities/ClockArithmetic/).
Discusses the problem of determining the fractal dimension of irregular fractals and how the scale is indeterminite in these fractals.
This worksheet is for use with the More or Less Estimator activity (http://www.shodor.org/interactivate/activities/MoreOrLessEstimator/).
This worksheet is for use with the Cantor's comb activity (http://www.shodor.org/interactivate/activities/CantorComb/).
This worksheet is for use with the Julia Sets activity (http://www.shodor.org/interactivate/activities/JuliaSets/).
Place Value (Discussion)
Discusses what individual digits represent in multi-digit integers.
Introduces students to the ideas involved in understanding fractals.
Spy Game (Lesson)
Students will learn about modular arithmetic in order to decipher encrypted messages.
This worksheet is for use with the activity Clock Arithmetic (http://www.shodor.org/interactivate/activities/ClockArithmetic/).
This worksheet is for use with the activity Triple Venn Diagram Shape Sorter (http://shodor.org/interactivate/activities/TripleVennDiagram/).
This worksheet is for use with the Two Variable Function Pump activity (http://www.shodor.org/interactivate/activities/TwoVariableFunction/).
Outlines the approach to building fractals by cutting out portions of plane figures.
Shows how modular arithmetic can be thought of as clock arithmetic.
Recursion (Discussion)
Discusses the idea of recursion as it pertains to fractals and sequences.
This worksheet is for use with the lesson Estimating With Fire (http://www.shodor.org/interactivate/lessons/EstimatingWithFire/).
Looks at how irregular fractals can be generated and how they fit into computer graphics.
This worksheet is for use with the Sierpinski's Triangle activity (http://www.shodor.org/interactivate/activities/SierpinskiTriangle/).
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.
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.
This worksheet is for use with the Hilbert Curve Generator activity (http://www.shodor.org/interactivate/activities/HilbertCurve/).
This worksheet is for use with the Recursion activity (http://www.shodor.org/interactivate/activities/Recursion/).
This worksheet is for use with the Caesar Cipher activity (http://www.shodor.org/interactivate/activities/CaesarCipher/).
This worksheet is for use with the Tables and Chairs activity (http://www.shodor.org/interactivate/activities/Chairs/).
This worksheet is for use with the Sequencer activity (http://www.shodor.org/interactivate/activities/Sequencer/).
Divisibility (Discussion)
The question of fairness in a game of two dice leads to the concept of divisibility.
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.
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.
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.
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 (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.
Decimals (Discussion)
Deals with converting fractions into decimals.
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.
This worksheet is for use with the Estimator activity (http://www.shodor.org/interactivate/activities/Estimator/).
Introduction to various estimation methods through the simulation of a forest fire.
This worksheet is for use with the activity Fire Assessment (http://www.shodor.org/interactivate/activities/FireAssessment/).
Recursion (Activity)
Graph recursive functions by defining f(0)=C and defining f(n) based on f(n-1).
Inverse Properties (Discussion)
Introduces the concepts of the additive inverse and multiplicative inverse and how they are used when solving equations.
Explains multiplication and division of fractions.
This worksheet is for use with the lesson Sets and the Venn Diagram Beginner (http://www.shodor.org/interactivate/lessons/SetsTheVennDiagramBeginner/).
Introduces students to making estimations.
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.
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.
This worksheet is for use with the Caesar Cipher II activity (http://www.shodor.org/interactivate/activities/CaesarCipherTwo/).
Introduces students to modular (clock) arithmetic and its uses in real world problem-solving.
This worksheet is for use with the Estimator Quiz activity (http://www.shodor.org/interactivate/activities/EstimatorQuiz/).
This worksheet is for use with the activity Fire Assessment (http://www.shodor.org/interactivate/activities/FireAssessment/).
This worksheet is for use with the Mixtures activity (http://www.shodor.org/interactivate/activities/Mixtures/).
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.
This worksheet is for use with the Another Hilbert Curve Generator activity (http://www.shodor.org/interactivate/activities/AnotherHilbertCurve/).
This worksheet is for use with the activity Venn Diagram Shape Sorter (http://www.shodor.org/interactivate/activities/ShapeSorter/).
This worksheet is for use with the Koch's Snowflake activity (http://www.shodor.org/interactivate/activities/KochSnowflake/).
A capstone lesson to allow students to build a working definition of fractal.
This worksheet is for use with the Another Hilbert Curve Generator Activity (http://www.shodor.org/interactivate/activities/AnotherHilbertCurve/).
This worksheet is for use with the Sierpinski's Carpet activity (http://www.shodor.org/interactivate/activities/SierpinskiCarpet/).
Gives an introduction to the concept of a logarithms and shows how logs can be used to calculate fractal dimension.
This worksheet is for use with the Caesar Cipher II activity (http://www.shodor.org/interactivate/activities/CaesarCipherTwo/).
Outlines the approach to playing the chaos game and how it relates to geometric fractals.
This worksheet is for use with the Tables and Chairs activity (http://www.shodor.org/interactivate/activities/Chairs/).
This worksheet is for use with the Sierpinski's Carpet activity (http://www.shodor.org/interactivate/activities/SierpinskiCarpet/).
Introduces the notion of using modular arithmetic to encode messages.
This worksheet is for use with the Mixtures activity (http://www.shodor.org/interactivate/activities/Mixtures/).
This worksheet is for use with the Mandelbrot Set activity (http://www.shodor.org/interactivate/activities/TheMandelbrotSet/).
This worksheet is for use with the Flake Maker activity (http://www.shodor.org/interactivate/activities/FlakeMaker/).
This worksheet is for use with the Sequencer activity (http://www.shodor.org/interactivate/activities/Sequencer/).
A supporting worksheet for Interactivate
Clock Arithmetic (Activity)
Work with various types of clocks in order to learn about modular arithmetic operations. Parameters: Number of hours on the clock.
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.
This worksheet is for use with the More or Less Estimator activity (http://www.shodor.org/interactivate/activities/MoreOrLessEstimator/).
Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
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.
Infinity and Iteration (Discussion)
Discusses infinity, iterations and limits by referencing fractals and sequences.
This worksheet is for use with the Estimator Four activity (http://www.shodor.org/interactivate/activities/EstimatorFour/).
This worksheet is for use with the Caesar Cipher III activity (http://www.shodor.org/interactivate/activities/CaesarCipherThree/).
This worksheet is for use with the Comparison Estimator activity (http://www.shodor.org/interactivate/activities/ComparisonEstimator/).
Sort colored shapes into a three circle Venn Diagram.
Two Variable Functions (Discussion)
Introduces 2 variable functions as ordered pairs and how to operate perform operations on ordered pairs.
Algorithm (Discussion)
Introduces the concept of algorithms and how algorithms affect mathematics.
Identity Properties (Discussion)
Introduces the concepts of the additive identity and multiplicative identity and how they are used when solving equations.
This worksheet is for use with Venn Diagram Shape Sorter (http://www.shodor.org/interactivate/activities/ShapeSorter/).
Fraction Conversion (Discussion)
Discusses how to convert from fractions to decimals.
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.
This worksheet is for use with the lesson Sets and the Venn Diagram Beginner (http://www.shodor.org/interactivate/lessons/SetsTheVennDiagramBeginner/).
Base Ten (Discussion)
Discusses the base ten system and how it differs from other base number systems.
This worksheet is for use with the Caesar Cipher III activity (http://www.shodor.org/interactivate/activities/CaesarCipherThree/).
This worksheet is for use with the Two Variable Function Pump activity (http://www.shodor.org/interactivate/activities/TwoVariableFunction/).
The Mandelbrot Set (Discussion)
Shows how the set of all Julia Sets are used to create the classic Mandelbrot fractal.
This worksheet is for use with the Estimator activity (http://www.shodor.org/interactivate/activities/Estimator/).
Sort colored shapes into a Venn diagram based on various characteristics. Venn Diagram Shape Sorter is one of the Interactivate assessment explorers.
This worksheet is for use with the Fractal Dimensions activity (http://www.shodor.org/interactivate/activities/FractalDimensions/).
This worksheet is for use with the Patterns in Fractals lesson plan (http://www.shodor.org/interactivate/lessons/PatternsInFractals/).
The Mandelbrot Set (Activity)
Explore fractals by investigating the relationships between the Mandelbrot set and Julia sets.
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.
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.
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.
This worksheet is for use with the Fractal Dimensions activity (http://www.shodor.org/interactivate/activities/FractalDimensions/).
Introduces all of the 2 variable function and prisoner/escapee notions necessary to understand the Mandelbrot set.
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.
Distributive Property (Discussion)
Introduces the concept of the distributive property.
This worksheet is for use with the lesson Algorithm Discovery with Venn Diagrams (http://www.shodor.org/interactivate/lessons/AlgorithmDiscovery/).
This worksheet is for use with the Estimator Four activity (http://www.shodor.org/interactivate/activities/EstimatorFour/).
This worksheet is for use with the activity Triple Venn Diagram Shape Sorter (http://shodor.org/interactivate/activities/TripleVennDiagram/).
This worksheet is for use with the Pattern Generator activity (http://www.shodor.org/interactivate/activities/PatternGenerator/).
Percents (Discussion)
Covers the basics of converting fractions into percents.
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.
This worksheet is for use with the Hilbert Curve Generator activity (http://www.shodor.org/interactivate/activities/HilbertCurve/).
Discusses methods of converting from the base ten system to another base number system.
This worksheet is for use with the Caesar Cipher activity (http://www.shodor.org/interactivate/activities/CaesarCipher/).
This worksheet is for use with the Mandelbrot Set activity (http://www.shodor.org/interactivate/activities/TheMandelbrotSet/).
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.
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.
This worksheet is for use with the lesson Algorithm Discovery with Venn Diagrams (http://www.shodor.org/interactivate/lessons/AlgorithmDiscovery/).
Demonstrates how fractions are added and subtracted.
This worksheet is for use with the Clock Arithmetic activity (http://www.shodor.org/interactivate/activities/ClockArithmetic/).
Students learn to identify a variety of patterns using sequences and tessellations.
This worksheet is for use with the lesson Estimating With Fire (http://www.shodor.org/interactivate/lessons/EstimatingWithFire/).
This worksheet is for use with the Julia Sets activity (http://www.shodor.org/interactivate/activities/JuliaSets/).
This worksheet is for use with the Koch's Snowflake activity (http://www.shodor.org/interactivate/activities/KochSnowflake/).
Making Estimates (Discussion)
Introduces students to estimation.
Sets (Beginner) (Discussion)
Introduces elementary students to sets and elements using shapes.
This worksheet is for use with the Cantor's Comb activity (http://www.shodor.org/interactivate/activities/CantorComb/).
This worksheet is for use with the Practicing Arithmetic lesson plan (http://www.shodor.org/interactivate/lessons/PracticingArithmetic/).
Self-Similarity (Discussion)
Discusses how fractals are self-similar objects.
This worksheet is for use with the Comparison Estimator activity (http://www.shodor.org/interactivate/activities/ComparisonEstimator/).
Introduction of elementary set operations through internet searching.
This worksheet is for use with the Pattern Generator activity (http://www.shodor.org/interactivate/activities/PatternGenerator/).
Estimation (Lesson)
Students practice and improve upon their estimation skills.
This worksheet is for use with the Clock Arithmetic activity (http://www.shodor.org/interactivate/activities/ClockArithmetic/).
This worksheet is for use with the activity Venn Diagram Shape Sorter (http://www.shodor.org/interactivate/activities/ShapeSorter/).
Students learn basic ideas about graphing points on the coordinate plane.
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.
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.
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.
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.
This worksheet is for use with the Monty Hall activity (http://www.shodor.org/interactivate/activities/GeneralizedMontyHall/).
This worksheet is for use with the Dice Table activity (http://www.shodor.org/interactivate/activities/DiceTable/).
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.
This worksheet is for use with the Generalized Monty Hall activity (http://www.shodor.org/interactivate/activities/GeneralizedMontyHall/).
Introduction and initial discussion of the concept of probability.
This worksheet is for use with the Dice Table activity (http://www.shodor.org/interactivate/activities/DiceTable/).
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.
This worksheet is for use with the Racing Game with One Die activity (http://www.shodor.org/interactivate/activities/RacingGameWithOneDie/).
This worksheet is for use with the Dice Table activity (http://www.shodor.org/interactivate/activities/DiceTable/).
Introduces the concept of tree diagrams as a way to compute probability of a multi-step event.
This worksheet is for use with the Rabbits and Wolves activity (http://www.shodor.org/interactivate/activities/RabbitsAndWolves/).
Introduces the basic ideas needed for understanding linear functions.
This worksheet is for use with the Marbles activity (http://www.shodor.org/interactivate/activities/Marbles/).
Pascal's Triangle (Discussion)
Introduces Pascal's Triangle in terms of probability.
This worksheet is for use with the Chaos Game activity (http://www.shodor.org/interactivate/activities/TheChaosGame/).
This worksheet is for use with the Life activity (http://www.shodor.org/interactivate/activities/Life/).
This worksheet is for use with the Experimental Probability activity (http://www.shodor.org/interactivate/activities/ExpProbability/).
This worksheet is for use with the Life Lite activity (http://www.shodor.org/interactivate/activities/LifeLite/).
This worksheet is for use with the Experimental Probability activity (http://www.shodor.org/interactivate/activities/ExpProbability/).
This worksheet is for use with the Racing Game with One Die activity (http://www.shodor.org/interactivate/activities/RacingGameWithOneDie/).
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.
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.
Discusses the relationship between geometry and probability.
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.
Demonstrates the connections between formulas and graphs.
This worksheet is for use with the Marbles activity (http://www.shodor.org/interactivate/activities/Marbles/).
Students learn about how probability can be represented using geometry.
This worksheet is for use with the Rabbits and Wolves activity (http://www.shodor.org/interactivate/activities/RabbitsAndWolves/).
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.
This worksheet is for use with the Simple Monty Hall activity (http://www.shodor.org/interactivate/activities/SimpleMontyHall/).
This worksheet is for use with the Chaos Game activity (http://www.shodor.org/interactivate/activities/TheChaosGame/).
This worksheet is for use with the Racing Game with One Die activity (http://www.shodor.org/interactivate/activities/RacingGameWithOneDie/).
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.
Experiment with probability using a fixed size section spinner, a variable section spinner, two regular 6-sided dice or customized dice.
This worksheet is for use with the Racing Game with Two Dice activity (http://www.shodor.org/interactivate/activities/RacingGameWithTwoDie/).
This worksheet is for use with the Chaos Game activity (http://www.shodor.org/interactivate/activities/TheChaosGame/).
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.
This worksheet is for use with the Life Lite activity (http://www.shodor.org/interactivate/activities/LifeLite/).
This worksheet is for use with the Chaos Game activity (http://www.shodor.org/interactivate/activities/TheChaosGame/).
This worksheet is for use with the Dice Table activity (http://www.shodor.org/interactivate/activities/DiceTable/).
This worksheet is for use with the Racing Game with Two Dice activity (http://www.shodor.org/interactivate/activities/RacingGameWithTwoDie/).
This lesson teaches students about theoretical and experimental probability through a series of work stations.
Students learn about how probability can be represented using geometry.
This worksheet is for use with the Crazy Choices Game activity (http://www.shodor.org/interactivate/activities/CrazyChoicesGame/).
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.
This worksheet is for use with the Chaos Game activity (http://www.shodor.org/interactivate/activities/TheChaosGame/).
Introduces conditional probability and the probability of simultaneous events.
Introduces students to simple probability concepts.
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.
Rabbits and Wolves (Activity)
Experiment with a simple ecosystem consisting of grass, rabbits, and wolves, learning about probabilities, chaos, and simulation.
This worksheet is for use with the Life activity (http://www.shodor.org/interactivate/activities/Life/).
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.
This worksheet is for use with the Crazy Choices Game activity (http://www.shodor.org/interactivate/activities/CrazyChoicesGame/).
Discusses the notion of functions as a "number machine" with input and output.
Introduces students to plotting points on the Cartesian coordinate system -- an alternative to "Graphing and the Coordinate Plane."
Considers probability problems with unexpected and surprising answers.
This worksheet is for use with the Simple Monty Hall activity (http://www.shodor.org/interactivate/activities/SimpleMontyHall/).
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.
This worksheet is for use with the Chaos Game activity (http://www.shodor.org/interactivate/activities/TheChaosGame/).
Looks at data structures and their applications to probability theory.
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.
This worksheet is for use with the Racing Game with Two Dice (http://www.shodor.org/interactivate/activities/RacingGameWithTwoDie/).
This worksheet is for use with the Crazy Choices Game activity (http://www.shodor.org/interactivate/activities/CrazyChoicesGame/).
Introduces students to lines, rays, line segments, and planes.
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.
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.
This worksheet is for use with the Crazy Choices Game activity (http://www.shodor.org/interactivate/activities/CrazyChoicesGame/).
This worksheet is for use with the Crazy Choices Game activity (http://www.shodor.org/interactivate/activities/CrazyChoicesGame/).
This worksheet is for use with the Algebra Quiz activity (http://www.shodor.org/interactivate/activities/AlgebraQuiz/).
Introduces coordinates through the idea of number lines.
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.
Introduction of elementary set operations and their connections with probability.
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.
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/).
This worksheet is for use with the Chaos Game activity (http://www.shodor.org/interactivate/activities/TheChaosGame/).
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.
This worksheet is for use with the Crazy Choices Game activity (http://www.shodor.org/interactivate/activities/CrazyChoicesGame/).
Introduces students to concepts that lead to probability.
Extends the notion of conditional probability by discussing the effects of replacement on drawing multiple objects.
This worksheet is for use with the Playing with Probability lesson plan (http://www.shodor.org/interactivate/lessons/PlayWithProbability/).

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