Applet Collections




Maths Online Gallary
This online Gallary is a collection of mathematical applets ranging from coordinate system applets to calculus applets. As a teacher I would use this resource to supplement my classroom instruction and help students visualize new concepts.
Consider: CCSS.Math.Content.HSN-VM.B.4 (+) Add and subtract vectors.
The Vector Applet on this site will help students to understand the concept of adding and subtracting vectors by helping them to visualize vectors in a three dimensional space.


Penn State University Math Department-David Little
This collection of applets has sections ranging from calculus to cryptogtaphy. The section I found to be most intersting was the geometry section which included applets for Euclidean Geometrty and Non-Euclidean Geometry. As a teacher I would use this resource page to supplement classroom instruction and help encourage my students learning by showing various aspects of geometry that they may be unfamiliar with.
Consider:CCSS.Math.Content.HSG-CO.D.13 Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
This site contains an applet calledConstructing a Squarewhich lets students experiment constructing a square in a circle.


Manipula Math
Manipula Math is a collection of java applets created for middle school to college aged students. They have almost 300 applets covering topics from compex numbers to conics. As a math teacher this resource is very useful as it is also accessible in Japanese, a great aid for some of your students who speak English as a second languade. As a teacher I would use this resource to find specific applets that go along with the topics covered in class in order to inspire my students to reach a higher level of understanding.
Consider:CCSS.Math.Content.HSG-C.A.2 Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
Manipula Math contains an applet in their miscellaneous section, the Orthocenter and Circumcenter applet, which demonstrates the relationship between and orthocenters and circumcenters.


Larry Green's Applet Page
Larry Green's Applet Page contains applets from beginning algebra to college algebra, all convieniently organized into sections. As an educator I would use this resource to find appropriate applets to show my students in class to initiate new mathematical discussions.
Consider:CCSS.Math.Content.HSF-BF.B.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
This collection contains an applet calledCombining Functions, which demonstrates what happens with the arithmatic or compositions of different functions. This applet also includes prompts to encourage students to think about what they are seeing.


Java Applets on Mathematics
Java Applets on Mathematics was created by Walter Fendt. It is a collection of various mathematical applets available in 12 languages! This is an amazing resource for a teacher who may have students who speak English as a second language. As a teacher I would use this resource in the classroom to demonstrate new ideas, as well as helping parents and families of the student use it at home. Having a resource available in a parents native language will likely encourage them to be more involved with their students learning process.
Consider:CCSS.Math.Content.HSN-CN.B.5 (+) Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation.
Ealter has an applet called Arithmatic Operations with Complex numbers which lets students experiment with adding, subtracting, multiplying, and dividing with complex numbers in an enviornment that helps them to visualize the process.


Specific Applets



Matrix Multiplication Applet
The Matrix Multiplication Applet demonstrates how to multiply matrices. As a teacher this would be a helpful resource to post on the class website for students to access at home while reviewing or working on homework.
This applet addresses the following core curriculum.
CCSS.Math.Content.HSN-VM.C.8 (+) Add, subtract, and multiply matrices of appropriate dimensions.


Kendall Hunt High School Math Resources Radian Measure
This page helps students discover the use of radians in measuring angles. It actually has three separate applets to demonstrate different parts of the lesson. As a teacher I would use this applet in the classroom to help teach about the power of radians as it presents the following core curriculum very clearly.
CCSS.Math.Content.HSF-TF.A.1 Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.


Venn Diagram Applet
This Venn Diagram Applet lets students pick a collection of events and the applet colors in the part of the venn diagram that the events cover. This is a great resource to use as a teacher so that you don't have to draw a million of these representations on the board. This applet would be useful in playing review games, and also useful for helping students discover the properties of unions, intersections, and compliments. Which is perfect considering their exists the following core curriculum:
CCSS.Math.Content.HSS-CP.A.1 Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).


Linear and Exponential Growth
The Linear and Exponential Growth applet shows the difference in salary for two individuals. One gets a steady annual increase, the other gets a percentage increase. At first you don't see any big difference, it's not until you zoom out that you see that the exponential growth far outgrows the linear. As a teacher this is a great way to start a mathematical discussion in your classroom. The delay before seeing the exponential growth go provides an opportunity for students to make conjectures about the results.I would use this applet to help introduce the topic of exponential growth which applies to the following core curriculum:
CCSS.Math.Content.HSF-LE.A.3 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.


Dilations
This applet explores the effects of scale factors and centers of dilation. As a teacher I would use this resource to help my students discover how dilations work. The page is formatted in such a way that students could work by themselves to discover properties of dilation. This applet would help students achieve the following core curriculum.
CCSS.Math.Content.8.G.A.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.