Interactivate+Computational+Science+resources+for+mathematics+learning

 Interactivate toc

This page is dedicated to the presentation of Shodor's [|Interactivate] tools and their and alignment to Indiana state standards.

**Number and Operations** (22)
(Grades 3-5, Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 3-5, Grades 6-8) ||  ||   || (Grades 3-5, Grades 6-8) ||  ||   || (Grades 3-5) ||  ||   || (Grades 3-5) ||  ||   || (Grades 3-5, Grades 6-8) ||  ||   || (Grades 3-5) ||  ||   || (Grades 6-8) ||  ||   || (Grades 3-5) ||  ||   || (Grades 3-5) ||  ||   || (Grades 3-5, Grades 6-8) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8) ||  ||   || (Grades 3-5) ||  ||   || (Grades 3-5, Grades 6-8, Grades 9-12) ||  ||   || (Grades 3-5) ||  ||   || (Grades 3-5) ||  ||   || (Grades 3-5) ||  ||   ||
 * The tools || Description || Applicable Indiana State Standards || Examples of classroom use ||
 * **[|Algorithm Discovery with Venn Diagrams]** || Allows students to sort different shapes into Venn diagrams.
 * **[|An Introduction to Arithmetic and Geometric Sequences]** || Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
 * **[|Clock Arithmetic and Cryptography]** || Introduces students to modular (clock) arithmetic and how modular arithmetic can be used to encode messages using simple shift, multiple and affine ciphers.
 * **[|Comparing Fractions]** || Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.
 * **[|Estimation]** || Introduces students to making estimations.
 * **[|Estimation (elementary)]** || Students practice and improve upon their estimation skills.
 * **[|Factors]** || Students learn about factoring by using manipulatives and computer applets.
 * **[|Finding Factors]** || Finding the factors of whole numbers.
 * **[|Fraction Conversion]** || Motivate converting fractions to decimals with the use of money.
 * **[|Fraction Facts]** || Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.
 * **[|Fraction King]** || Students and teacher play a game called "Fraction King" to seed the idea of taking fractions of whole numbers then use manipulatives and several computer applets to concretize the idea.
 * **[|Ideas for Working with Fractions]** || Students get practice working with conversion of fractions, decimals, percents through using several of the Interactivate activities.
 * **[|Multiplying Decimals and Mixed Numbers]** || Reinforces skills associated with multiplying decimals and mixed numbers.
 * **[|Pascal's Triangle]** || Looks at how Pascal's Triangle can be used to generate Sierpinski triangle-like results.
 * **[|Patterns in Fractals]** || Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
 * **[|Patterns in Pascal's Triangle]** || Shows students that number patterns exist in the Pascal's Triangle, and reinforces student's ability to identify patterns.
 * **[|Practicing Arithmetic]** || 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.
 * **[|Recognizing Patterns]** || Students learn to identify a variety of patterns using sequences and tessellations.
 * **[|Sets and the Venn Diagram]** || Introduces students to the notions of sets, elements, and Venn diagrams.
 * **[|Sorting with Venn Diagrams]** || Students learn how to classify items and numbers on Venn Diagrams using computer applets.
 * **[|Spy Game]** || Students will learn about modular arithmetic in order to decipher encrypted messages.
 * **[|Venn Diagrams]** || Help students learn about classifying numbers into various categories through answering questions about Venn Diagrams.

**Geometry**(25)
(Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 3-5) ||  ||   || (Grades 6-8) ||  ||   || (Grades 3-5) ||  ||   || (Grades 3-5) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 3-5, Grades 6-8) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 3-5, Grades 6-8) ||  ||   || (Grades 3-5) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 3-5) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   ||
 * ||  || Applicable Indiana State Standards || Examples of classroom use ||
 * **[|An Introduction To Quadrilaterals]** || Introduces students to quadrilaterals with an emphasis on defining characteristics of parallelograms, rectangles, and trapezoids.
 * **[|Angles]** || Introduces students to acute, obtuse, and right angles as well as relationships between angles formed by parallel lines crossed by a transversal.
 * **[|Angles (elementary)]** || Students learn about classifying angles by their measure and in relation to angles formed by two lines crossed by a transversal.
 * **[|Area]** || Comparing shapes with the same areas but different perimeters.
 * **[|Area (elementary)]** || 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.
 * **[|Estimation (elementary)]** || Students practice and improve upon their estimation skills.
 * **[|Fractals and the Chaos Game]** || Outlines the approach to playing the chaos game and how it relates to geometric fractals.
 * **[|Geometry in Tessellations]** || Explores lines, planes, angles, and polygons in tessellations.
 * **[|Introduction to Fractals: Geometric Fractals]** || Outlines the approach to building fractals by cutting out portions of plane figures.
 * **[|Introduction to Fractals: Infinity, Self-Similarity and Recursion]** || Introduces students to the ideas involved in understanding fractals.
 * **[|Irregular Fractals]** || Looks at how irregular fractals can be generated and how they fit into computer graphics.
 * **[|Length, Perimeter, and Area]** || Introduces students to length, perimeter and area.
 * **[|Lines, Rays, Line Segments, and Planes]** || Introduces students to lines, rays, line segments, and planes.
 * **[|Patterns in Fractals]** || Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
 * **[|Perimeter]** || Introduces students to the concept of perimeter.
 * **[|Perimeter (elementary)]** || Students learn about perimeter and the units used to measure perimeter using a variety of materials including their hands, feet, rulers, and computer applets.
 * **[|Probability and Geometry]** || Students learn about how probability can be represented using geometry.
 * **[|Properties of Fractals]** || A capstone lesson to allow students to build a working definition of fractal.
 * **[|Pythagorean Theorem]** || Students learn how the Pythagorean Theorem works and how to apply it.
 * **[|Surface Area and Volume]** || Introduces students to the concepts of surface area and volume.
 * **[|Tessellations: Geometry and Symmetry]** || Examines plane symmetry.
 * **[|The Mandelbrot Set]** || Introduces all of the 2 variable function and prisoner/escapee notions necessary to understand the Mandelbrot set.
 * **[|Translations, Reflections, and Rotations]** || Introduces students to concepts of transformations.
 * **[|Triangle Area]** || Students learn about finding the area of a triangle.
 * **[|Visual Patterns in Tessellations]** || Explore the mathematical nature of art and tilings and looks at the role of math in nature and our culture.

**Algebra**(12)
(Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   || (Grades 6-8, Grades 9-12) ||  ||   ||
 * ||  || Applicable Indiana State Standards || Examples of classroom use ||
 * **[|An Introduction to Arithmetic and Geometric Sequences]** || Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
 * **[|Cartesian Coordinate System]** || Introduces students to plotting points on the Cartesian coordinate system -- an alternative to "Graphing and the Coordinate Plane."
 * **[|Functions and the Vertical Line Test]** || Introduces students to the vertical line test for graphs of functions.
 * **[|Graphing and the Coordinate Plane]** || Students learn basic ideas about graphing points on the coordinate plane.
 * **[|Graphs and Functions]** || Demonstrates the connections between formulas and graphs.
 * **[|Impossible Graphs]** || Teaches distinguishing between possible and impossible graphs of functions as well as causes of graphical impossibility.
 * **[|Introduction to Fractals: Infinity, Self-Similarity and Recursion]** || Introduces students to the ideas involved in understanding fractals.
 * **[|Introduction to Functions]** || Introduces the basic ideas needed for understanding functions.
 * **[|Irregular Fractals]** || Looks at how irregular fractals can be generated and how they fit into computer graphics.
 * **[|More Complicated Functions: Introduction to Linear Functions]** || Introduces the basic ideas needed for understanding linear functions.
 * **[|Properties of Fractals]** || A capstone lesson to allow students to build a working definition of fractal.
 * **[|Reading Graphs]** || Demonstrates the connections between formulas, graphs and words.

**Probability**(15)
(Grades 6-8, Grades 9-12) ||  || (Grades 6-8, Grades 9-12) ||  || (Grades 6-8, Grades 9-12) ||  || (Grades 6-8, Grades 9-12) ||  || (Grades 6-8, Grades 9-12) ||  || (Grades 6-8, Grades 9-12) ||  || (Grades 6-8, Grades 9-12) ||  || (Grades 3-5) ||  || (Grades 6-8, Grades 9-12) ||  || (Grades 6-8) ||  || (Grades 3-5) ||  || (Grades 6-8, Grades 9-12) ||  || (Grades 6-8, Grades 9-12) ||  || (Grades 6-8, Grades 9-12) ||  ||
 * ||  || Applicable Indiana State Standards ||
 * **[|Chaos]** || Students learn about the concepts and applications of chaos.
 * **[|Conditional Probability and Probability of Simultaneous Events]** || Introduces conditional probability and the probability of simultaneous events.
 * **[|Fire!, Probability, and Chaos]** || Utilizes and reinforces concepts of probability, mean, line plots, experimental data, and chaos in analyzing a forest fire simulation.
 * **[|Fractals and the Chaos Game]** || Outlines the approach to playing the chaos game and how it relates to geometric fractals.
 * **[|From Probability to Combinatorics and Number Theory]** || Looks at data structures and their applications to probability theory.
 * **[|Ideas that Lead to Probability]** || Introduces students to concepts used which lead to probability.
 * **[|Introduction to the Concept of Probability]** || Introduces students to simple probability concepts.
 * **[|Playing with Probability]** || (Grades 3-5) ||  ||
 * **[|Probability]** || Students learn about probability by predicting the outcome of planned experiments and playing racing games.
 * **[|Probability and Geometry]** || Students learn about how probability can be represented using geometry.
 * **[|Probability and Sports]** || Considers probability concepts on the basis of statistics in professional sports.
 * **[|Probability: Playing with Fire]** || Students use probability to determine how likely it is for each tree in a small simulated forest to catch on fire.
 * **[|Replacement and Probability]** || Extends the notion of conditional probability by discussing the effects of replacement on drawing multiple objects.
 * **[|Tree Diagrams and Probability]** || Introduces the concept of tree diagrams as a way to compute probability of a multi-step event.
 * **[|Unexpected Answers]** || Considers probability problems with unexpected and surprising answers.

**Statistics**(9)
(Grades 6-8, Grades 9-12) ||  || (Grades 6-8, Grades 9-12) ||  || (Grades 3-5) ||  || (Grades 6-8, Grades 9-12) ||  || (Grades 6-8, Grades 9-12) ||  || (Grades 3-5, Grades 6-8) ||  || (Grades 6-8, Grades 9-12) ||  || (Grades 6-8, Grades 9-12) ||  || (Grades 6-8, Grades 9-12) ||  ||
 * ||  || Applicable Indiana State Standards ||
 * **[|Box Plots]** || Introduces students to quartiles and box plots.
 * **[|Histograms and Bar Graphs]** || Introduction and fine points of using bar graphs and histograms.
 * **[|Introduction to Bar Graphs]** || 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.
 * **[|Introduction to Statistics: Mean, Median, and Mode]** || Introduces statistical measures of center.
 * **[|Linear Regression and Correlation]** || Students are introduced to correlation between two variables and the line of best fit.
 * **[|Misleading Graphs]** || 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.
 * **[|Statistics and Shopping]** || Looks at statistics and data analysis concepts from the practical questions that arise in everyday life.
 * **[|Stem-and-Leaf Plots]** || Introduces students to stem-and-leaf plots and calculating the mean, median, and mode from the plots.
 * **[|The Bell Curve]** || Introduces the normal distribution and looks at the bell curve controversy.

**Modeling**(4)
(Grades 3-5, Grades 6-8, Grades 9-12) ||  || (Grades 6-8, Grades 9-12) ||  || (Grades 6-8, Grades 9-12) ||  || (Grades 6-8, Grades 9-12) ||  || (Grades 6-8, Grades 9-12) ||  || (Grades 3-5) ||  || (Grades 3-5) ||  ||
 * ||  || Applicable Indiana State Standards ||
 * **[|Algorithm Discovery with Venn Diagrams]** || Allows students to sort different shapes into Venn diagrams.
 * **[|Fire!, Probability, and Chaos]** || Utilizes and reinforces concepts of probability, mean, line plots, experimental data, and chaos in analyzing a forest fire simulation.
 * **[|Impossible Graphs]** || Teaches distinguishing between possible and impossible graphs of functions as well as causes of graphical impossibility.
 * **[|Reading Graphs]** || Demonstrates the connections between formulas, graphs and words.
 * Discrete**(3)
 * ||  || Applicable Indiana State Standards ||
 * **[|From Probability to Combinatorics and Number Theory]** || Looks at data structures and their applications to probability theory.
 * **[|Sorting with Venn Diagrams]** || Students learn how to classify items and numbers on Venn Diagrams using computer applets.
 * **[|Venn Diagrams]** || Help students learn about classifying numbers into various categories through answering questions about Venn Diagrams.