Yellow Pages for Mathematics Multimedia Learning Objects
Perfect Little Programs PLP
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The
following modules are short animated learning objects which provide
visualization of particular mathematics concepts. A condensed table of contents follows the
descriptive table of contents. A copy of
the Yellow Pages will be available on the S drive for easy access in the Smartboard
classrooms. These were created by
teachers who attended NSF funded summer workshops at The Community College of
Baltimore County, Essex Campus.
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Download Flash Plug In:
To run these animations, you will need a browser plug-in: Macromedia Flash Player. You may download this free plug-in from the
Macromedia Web site.
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Descriptive Table of Contents:
Area of a Circle: Rationale for formula
Area of a Circle, Katrina Comp, mathematics, tutorial
Area of a Circle
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The Area of a Circle PLP provides an animation of the development of the formula for the area of a circle. Users of this program will view a circle breaking into pieces that are transformed into a parallelogram and the components of the formula. Learners in Mathematics classes from grades 6-12 may benefit from this tool. |
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Box and Whiskers animation
Box & Whiskers Plot
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This animation illustrates an example of a Box & Whiskers plot. |
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This animation was created in Macromedia Flash in the TIMS2S Workshop, Summer 2003. |
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Visualization of y = x, y = x2 and y = 2x
Comparison of Functions, Kathleen Harmeyer, mathematics, animation
Comparison of Functions
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This is an animation to illllustrate a comparison of linear, quadratic and exponential functions. |
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Congruent: quick animation of slide, rotate, reflection
Congruent, Barbara Barr, mathematics, tutorial
Congruent
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The Congruent PLP illustrates the concept of congruent polygons while introducing transformations. Congruent figures move on top of each other by sliding, rotating and reflecting. Finally figures that are not congruent are compared. Both middle and high school geometry students may benefit from this presentation. |
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Produced by Barbara Barr during the two-week TIM2S workshop, Summer 2003. |
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Density: manipulation of formula
Density Formula, Dames Boire, Brian Hugick, Cherie Wyatt, physics, animation
Density Formula
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This animation introduces a brain mnemonic to help students weak in math master and manipulate a three term equation. |
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Produced by Dames Boire, Brian Hugick, Cherie Wyatt during the two-week TIM2S workshop, Summer 2003. |
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Encryption of Data, Anne Comins, e-business, tutorial
Encryption of Data: appropriate for finite mathematics (matrices) or for enrichment; summer programs
Encryption of Data
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This PLP is used in an online Exploring E-commerce course to illustrate how data is encoded to provide for a secure transmissions across the Internet. It combines a tutorial with an assessment. |
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Produced by Jon Levy, Project Development in collaboration with Anne Comins, IMMT faculty in Fall 2001 using Macromedia Director. |
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Fractional Exponents: A visualization of the notation for fractional exponents.
Fractional Exponents, Ellen Mangels, mathematics, tutorial
Fractional Exponents
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The Fraction-Exponent PLP provides a step by step example of a whole number base raised to a fractional exponent. Users of this program will be able to see how the exponent is represented as a radical and then simplified. Learners in Algebra II may benefit from this tool. |
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Produced by Ellen Mangels during the two-week TIM2S workshop, Summer 2003. |
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Fractions: Visualization of adding and multiplying fractions.
Fractions, Roseanne Hofmann, Kacey Reid and Michael Sisk, mathematics, tutorial
Fractions
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Fractions animates adding two fractions with like denominators and unlike denominators, and multiplying two fractions. Users are provided with a visualization of the operations. The Fractions PLP was designed to help learners with fraction phobia. |
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Produced by Roseanne Hofmann, Kacey Reid and Michael Sisk during the two-week TIM2S workshop, Summer 2003. |
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Frequency Distribution animation of pie chart
Frequency Distribution
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This presentation illustrates the concept of frequency distribution. This notion is useful when we analyze different groups of objects, such as people, scores, etc., in relation to the total value. |
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Produced by Aurora T. Garcia during the two-week TIM2S workshop, Summer 2003 |
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Functions: This animates evaluation of a quadratic.
Functions, Barbara Leitherer, mathematics, tutorial
Functions
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This program introduces functional notation and demonstrates how to evaluate a function at a value in its domain. An animated function machine simulates the calculation required to evaluate a function. Students may insert their own values for evaluation. |
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Produced by Barbara Leitherer, mathematics faculty member and Darrell Wilson, Project Development student, in Macromedia Authorware in Spring, 2003 |
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Hexadecimal Conversion: appropriate for discrete mathematics and number systems
Hexadecimal Conversion, Kathleen Harmeyer, multimedia, tutorial
Hexadecimal Conversion
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Multimedia students encounter color codes in decimal and hexadecimal notation. They need to be able to convert from one base to another. This tutorial demonstrates algorithms for converting from decimal to hex and from hex to decimal. |
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Produced by Christie Fink, Project Development, Fall 2002 in Macromedia Authorware. |
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Home Run - Sample Sizes, Donna Tupper, mathematics, tutorial
Sample Size: The last quiz problem has an incorrect solution.
Home Run - Sample Sizes
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Employing a baseball metaphor, this tutorial provides examples and assessment items for exercising a students understanding of the determination of how large a sample size needs to be in order for the results to be within a certain margin of error. |
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Statistics: Very slow in downloading; shows line graphs, pie charts and ratio drawings
How to Lie With Statistics, Dr. Janice Dyckacz, mathematics, tutorial
How to Lie With Statistics
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It is so easy to misrepresnt data, intentionally or accidentally, that statistics faculty instruct students to view how simple changes in the representation of the data can lead a user to infer misinformation. |
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Produced by J Konopacki, Project Development, Spring 2002 using Macromedia Authorware. |
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Logarithms: Quick animated visualization of logarithms
Logarithm Notation, Elaine Gottschalk, Ellen Mangles, mathematics, tutorial
Logarithm Notation
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The Log-Notation PLP provides a several examples of log problems and their related exponent problem. Users of this program will be able to view three examples and an explanation of the Change of Base formula used to calculate a log. Learners in Algebra II, Pre-Calculus, and Calculus may benefit from this tool. |
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Produced by Elaine Gottschalk and Ellen Mangles during the two-week TIM2S workshop, Summer 2003. |
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Logarithmic and Exponential Curves: Short Animation
Logarithmic and Exponential Curves Compared, Ellen Mangels, mathematics, animation
Logarithmic and Exponential Curves Compared
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The Log-Exponents PLP provides a graphic comparison of an exponential function and a logarithmic function. Users of this program will be able to review exponential function graphs, compare exponential functions and logarithmic functions, or review a graph and its inverse. Learners in Algebra II, Pre-Calculus, and Calculus may benefit from this tool. |
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Produced by Ellen Mangels and Elaine Gottschalk during the two-week TIM2S workshop, Summer 2003. |
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Net for a Cube - short animation
Net for a Cube
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To help visual the connection between two-dimensional representations and three-dimensional representations, here are two animations of the unfolding of a cube into a net. There are two views, front and corner. |
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Produced by Jason Dennis, Intern for Baltimore County Public Schools, in collaboration with Penny Booth, Coordinator of Mathematics using Vue, Spring 2003 |
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Probability of Independent Events: animation of multiplication rule of probability
Probability, Adam Russ, mathematics, animation
Probability
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This PLP provides an animation demonstrating how to calculate the probability of independent events. Users of this program will be able to see the probabilities of all the possible outcomes of a pair of independent events. A summary reinforces the concept that the sum of all the probabilities must equal one. Learners in math and science classes from grades 7 through 10 may benefit from this tool. |
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Produced by Adam Russ during the two-week TIM2S workshop, Summer 2003 |
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Reflections: short animation
Reflections, Katrina Comp, mathematics, animation
Reflections
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The Reflections PLP provides a definition of the motion, and allows the user to choose the type of reflection they would like to investigate. The user may view the effect of reflecting a triangle over the x-axis, y-axis and y=x line. Learners in mathematics classes from grades 6-12 may benefit from this tool. |
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Produced by Katrina Comp during the two-week TIM2S workshop, Summer 2003 |
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Side-Side-Angle Investigation short animation
Side-Side-Angle Investigation
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The SSA PLP investigates whether Side-Side-Angle is a reliable way to prove 2 triangles are congruent. Watching the triangles form from congruent parts will help students reach the proper conclusion. High school Geometry students may benefit from this presentation. |
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Produced by Barbara Barr during the two-week TIM2S workshop, Summer 2003. |
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Solving an inequality short animation
Solving an Inequality
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The Inequality PLP was designed as a drill for high school algebra students who are in need of assistance in their mathematics. This would be displayed on a screen in the front of class, student solutions would be solicited and finally the PLP would be played. The replay button allows for review of the process. |
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Produced by Frank McGrath during the two-week TIM2S workshop, Summer 2003. |
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Solving a System of Linear Equations animation
Solving System of Linear Equations
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The Substitution PLP provides a step by step example of solving a system of linear equations using substitution. Users of this program will be able to choose to see the example again or view the check associated with the example. Learners in Algebra I may benefit from this tool. |
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Produced by Ellen Mangels during the two-week TIM2S workshop, Summer 2003. |
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Lateral Area of a Cylinder short animation
Surface Area of a Cylinder
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The Cylinder PLP provides an animation of how to derive the surface area of a cylinder. Users of this program will be able to view the cylinder in its original form and then watch it transform into the surface area pieces with matching formulas. Learners in Geometry from grades 912 may benefit from this tool. |
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Produced by Michelle Goldstein during the two-week TIM2S workshop, Summer 2003. |
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Distributive Property short animation
The Distributive Property
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Students often forget to complete the multiplication with the second term in a distributive operation. This animation helps them to visualize the entire process. |
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Produced by Carol Jury during the two-week TIM2S workshop, Summer 2003. |
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Percent short animation
The Meaning of Percent
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Students often forget that percent means per hundred. This tiny animation helps them to forge a mental image of the relationship. |
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Produced using Macromedia Flash. |
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Square Root short animation
The Meaning of Square Root
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To help students forge a mental image of a square root we crafted a small animation to infuse meaning into square root. |
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Produced in Macromedia Flash. |
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Translations short animation
Translations
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The translations PLP provides the user with the definition of the motion and allows the user to make choices between changes in the x-coordinate, y-coordinate and both. The program illustrates how a triangle is affected by each of the changes. Learners in mathematics classes from grades 6-12 may benefit from this tool. |
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Produced by Katrina Comp during the two-week TIM2S workshop, Summer 2003 |
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Triangle Inequality
Triangle Inequalities Theorem
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The triangle inequalities theorem PLP provides an animation of sets of three line segments that do or do not form a triangle. Users of this program will be able to demonstrate a basic geometric theorem and how it applies to the construction of triangles. Learners in geometry and SAT prep classes will benefit from this tool. |
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Produced by Sandra Stamer and Alana Turner during the two-week TIM2S workshop, Summer 2003. |
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Long Division very short animation
Trick for Long Division
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Students often place the numbers for division in the incorrect locations. This animation helps students to remember that the top number is the dividend. |
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Produced using Macromedia Flash. |
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Table of Contents:
PLP Projects Menu (actual site)
The
following modules were selected because of their appropriateness for our
curriculum.
Adding
Signed Numbers, Kathy Cantrell, mathematics, tutorial
Area of
a Circle, Katrina Comp, mathematics, tutorial
Box
& Whiskers Plot, Ellen Mangels, mathematics,
animation
Comparison
of Functions, Kathleen Harmeyer, mathematics,
animation
Concentration
of Meds in the Bloodstream, Amy Hoffman, mathematics, game
Confidence
Intervals, Janice Dykacz, mathematics, simulation
Congruent,
Barbara Barr, mathematics, tutorial
Exponential
Decay, Donna Tupper, mathematics, drill & practice
Exponential
Growth, Donna Tupper, mathematics, game
Fractional
Exponents, Ellen Mangels, mathematics, tutorial
Fractions,
Roseanne Hofmann, Kacey Reid and Michael Sisk,
mathematics, tutorial
Function
Machine, Penny Booth, mathematics, simulation
Functions,
Barbara Leitherer, mathematics, tutorial
Home
Run - Sample Sizes, Donna Tupper, mathematics, tutorial
How to
Lie With Statistics, Dr. Janice Dyckacz,
mathematics, tutorial
Learn
Basic Multiplication, Carol McDonnell, mathematics, drill & practice
Logarithm
Notation, Elaine Gottschalk, Ellen Mangles, mathematics, tutorial
Logarithmic
and Exponential Curves Compared, Ellen Mangels,
mathematics, animation
Multiplication
Match Game, Penny Booth, mathematics, game
Murder
Log, Donna Tupper, mathematics, game
Net for
a Cube, Penny Booth, mathematics, animation
Order
of Operations, Betsy Davis and Stephanie Noonan, mathematics, animation
Order
of Operations with Parentheses, Betsy Davis, mathematics, animation
Points
of Concurrency, Barbara Barr, Katrina Comp and Michelle Goldstein,
mathematics, tutorial
Probability,
Adam Russ, mathematics, animation
Reflections,
Katrina Comp, mathematics, animation
Relationships
Between Lines, Barbara Barr, mathematics, tutorial
Side-Side-Angle
Investigation, Barbara Barr, mathematics, animation
Solving
an Inequality, Frank McGrath, mathematics, demonstration
Solving
One Step Equations, Michelle Goldstein, mathematics, animation
Solving
System of Linear Equations, Ellen Mangels,
Mathematics, Tutorial
Surface
Area of a Cylinder, Michelle Goldstein, mathematics, animation
The
Central Limit Theorem, Donna Tupper, mathematics, simulation
The
Distributive Property, Carol Jury, mathematics, tutorial
The
Meaning of Percent, Kathleen Harmeyer,
mathematics, animation
The
Meaning of Square Root, Kathleen Harmeyer,
mathematics, animation
Translations,
Katrina Comp, mathematics, animation
Triangle
Inequalities Theorem, Sandra Stamer and Alana
Turner, mathematics, animation
Trick
for Long Division, Kathleen Harmeyer,
mathematics, animation