Alycia's Assignments




Applets
Title Description
Sum of Three Angles of a Triangle This simple applet allows students to see that three angle in a triangle make a line, or sum up to 180 degrees.
Football Trajectory This applet lets students choose and x and y value in order to see the trajectory of a football when it is thrown at a certain angle.
Pythagoras Proof-Pythagorean Theorem This applet allows students to see the proof of Pythagorean's Theorem that Pythagoras is given credit for using.
Exponent Invaders Exponent Invaders is a game that has students simplifying multiplication of exponents and shooting the invading alien with the corresponding simplified expression.
Central Limit Theorem This applet uses a simulated dice rolling experiment to show that after so many "rolls" we should see a bell curve.




Applet collections
Title Description
Manipula Math with JAVA A collection of 279 applets that have math concepts relevant to middle school math curricula and higher. They can be searched by math topic.
MIT Mathlets MIT Mathlets is a collection of upper division math concepts that are relevant to calculus courses in high school. The option is given to view in the browser or on the Java app.
Math Applets at SLU-Below Calculus The collection of applets are supposed to help demonstrate different concepts that are below calculus.
Larry Green's Applet Page This collection of applets ranges from algebra to calculus math topics. They are sorted by the different math topics.
Statistics Applets Statistics Applets is a collection of statistics applets that are listed by different statistic topics.




Internet Resources
Title Description Explanation
Math Goodies mathgoodies.com is a website for math teachers which has lesson plans, worksheets, and games teachers can use for free. I would use mathgoodies.com as an aid is some of my lesson planning by either referring to what other teachers did for their lesson plans, or even use the games and worksheets in class.
ACOE This website was put together by the Alameda County Office of Education (acoe) and has lessons, video presentations, and even powerpoints of different math content. I could see myself using this type of site for showing and illustrating interesting content in math, for instance the powerpoint on the use of the sieve of Erathosthenes.
TeachThought TeachThought is a website that provides teachers with different levels of help, the page I pointed out gave 50 different resources for helping teachers find and use the common core curriculum in their classroom. Since I don't feel like I have a grip on how to implement the common core standards in a lesson plan yet, I think a site like this would be helpful for me to refer to frequently while planning my lessons.
Math for America Math for America is a organization that was designed to help teachers in all aspects, with their careers, lesson plans, and even locate conferences and events that are being hosted for math teachers. Although this website doesn't have specific lesson plans or games, etc., it does have many links to different websites for teachers which I would find helpful when looking for material, I can search at one source that I trust.
PBS Learning Media This website provided by PBS provides free videos for not only math but other subject areas that teachers can use in their classrooms. As a teacher I would use some of these videos during lessons in order to provide multiple modalities, and I would use some of the interactives on the website as well.
Math Forum Math Forum provides teachers with software like applets, lesson plans, and other materials for different math subjects. I can use the lesson plans, or even the software in my classrooms as a math teacher.
PUMAS Practical Uses of Math and Science is an online journal which provides different examples of how and where you would use the mathematics you are learning in school. As a teacher I think a site like this would be very useful so that I can show my students where they math they are learning is applied when they ask. Or I would be able to develop my own application lessons based off of some of the ideas on the site.
Discovery Education Discovery Education provides lesson plans and videos as well as some history of some math subjects at the high school level. Although Discovery Education doesn't have an elaborate library I like that the lesson plans incorporate videos and history of math so that students can really see the context of what they are studying and how it came to be.
Teach-nology This website provides teachers with worksheets, word problems and different lesson plans for different math subjects as well as other resources to use with students like websites and games. Other than the lesson plans and worksheets I liked that this site provided some teaching tips from other educators which is nice when trying to learn how to teach a subject.
Free Technology 4 Teachers This site is dedicated to helping teachers with using different technologies in their classroom. The pag eI have is specific to math youtube videos teachers can use and channels they could subscribe too. I like that this site provides not only these youtube links but other technology resources for teachers, and not just specific to math, that I can use in my classroom.




Geogebra Applets
Title Description Explanation
Rotation of a Triangle This worksheet allows the user to rotate a triangle on a line and see the trace. I like this application because I never would have seen how the rotation of a triangle does create a triangle.
Triangle Sum Theorem This worksheet gives a visual demonstration of the triangle sum theorem. I like this applet/worksheet because I didn't even learn this proof of the triangle sum theorem until a year ago, and I think it would really help students visualize why it is true.
Exterior Angles of Polygons The applet allows students to see the exterior angles of a polygon. It is interesting to see how the exterior angles of any polygon add up to 360 degrees, or have the same degrees of a circle.
Fractal This applet creates different sized fractals from circles using different angles and radius. I have always loved fractals so I thought it was interesting to see an applet where you could create a fractal just by moving the sliders.
Escher's Dog Tesselation This applet displays Escher's Dog Tesselation and uses it to describe how a tesselation works. I also really like tesselations and like creating them, but I really enjoyed this worksheet because it allows students to see how to construct a tesselation, through the symmetry, vectors, etc.




My Geogebra Applets
Title Description Explanation
A Look At Fractals: Sierpinski's Triangle This applet allows the user to look at the different iterations of the Sierpinski's Triangle fractal. I like this applet because I think it can be hard for people to understand the concepts behind fractals and this applet makes it easy to detect a pattern and discover how a fractal works.
(Original) Paint By Constants: Julia Sets This applet is designed so that the user can select different complex constants and "paint" the graph they selected. One reason I like this graph is just because it is fun to "paint" these different Julia sets. But I also think it allows the user to see how a complex graph and a fractal are similar mathematically as well as look at the sets that first started the whole topic of fractals as we know it today.
Polar Equations in Parametric Form This applet allows the user to see polar equations in parametric form. I like this applet mainly just because it is so pretty. :D
Rectangular and Polar Coordinates This applet allows the user to see the relationship between polar and rectangular coordinates. I like this applet and feel like I would use it in my classes because I feel like it allows students to see the relationship between rectangular and polar so that they can construct the formulas the describe the relationships themselves.
The Golden Rectangle This applet allows the user to see the construction of the Golden Rectangle and how it relates to the Logarithmic Spiral. I like this applet because it allows the user to see the construction of the Golden Rectangle and how it relates to the Logarithmic Spiral.
Riemann Sums This applet allows the user to choose a function of their choice and find both the left and right side Riemann sums. I like this applet because users can choose any function and they can see the relationships between choosing right or left sums and how the number of boxes you choose effects the area we can find under our function.
Sin, Cos, and the Unit Circle This applet was designed for the Math 5010 course in order to help students see the relationship between the unit circle, sin, and cos. I like this applet and would even use it in my own teaching because I feel that this relationship is often missed by students.
Normal Curve This is the applet we designed in Math 5010 to show the normal curve overlaying the binomial distribution. I like this applet because I feel like students have a hard time seeing the association between a large sampled binomial distribution and the normal curve.
Conics Applet This is the applet I designed for Math 5010 to show the constructions of a circle, parabola, and ellipse. I like this applet because I designed it and because it shows three different conic sections and the construction of them.
The Sine Function This applet was designed by me during our Math 5010 class to show the relationship of altitudes and frequency in Sine functions. I find this particular applet interesting because it was the first one I created!