Thisis quadratic equation calculator.Itasks the user to input the coefficients of the , ,and constant terms and then gives the real or complex solutions.

2.MultimediaActivities:Quadratics/Polynomials

This site includes activities and lesson plansfor the investigation of quadratic functions.Thesite does not focus on the method of solving quadratic equations, but itdoes allow students to manipulate graphs and equations and relates thex-intercepts to the solutions of the equations.

3.Quadratic,Cubic and Quartic Equations

Thissite focuses describes a brief history of Quadratic, cubic, and quarticequations and contains links to pages about the mathematicians that influencedtheir evolution.
 

4.AddisonWesley Longman- Practice Test

Thissite consists of a practice test in solving quadratic equations by factoring.Thequestions are multiple choice, and the student is told whether they arecorrect or not immediately after choosing their answer.

5.AnIntroduction to Complex Numbers

Thissite contains a detailed and well-illustrated introduction to the complexnumbers.It includes many topicsfrom why they are necessary to the their role in the roots of polynomialequations.

6.Fashion Design: Patterns and Weaving Application (Grade Level 8-11) 

Awonderful application to the solving quadratic equations can be found atthis 

site.Theweaving of multiple colors is developed into a quadratic function, whichis then solved using the quadratic equation.

7.Createyour own quadratic practice worksheets online

Thissite allows you to create your own worksheets with quadratic functionsthat are actually solvable.The sitealso allows you to specify if any of the coefficients can be fractions,and, in fact, allows for the specification of how many of each type ofproblem is included in the worksheet.

8.SolvingQuadratic equations algebraically

Thisis a concise tutorial on solving quadratic equations and would be a goodsite to refer students with difficulties or for a subject review.Itis one of the few sites that shows solving by factoring, completing thesquare and the quadratic equation.

9.Ideas for an interactive lesson

Thisis a tutorial on solving quadratic equations that involves tables and graphs.Whilethis site is not the most interactive, the multidisciplinary teaching ideaspresented there (spreadsheets, etc.) might benefit a teacher looking forideas. (Development of your own spreadsheet is required).

10.Etap

hfiles/english/grade7/hspm16/hspm16ins.html

Thissite gives many sample problems and even includes sample quadratic wordproblems. It also contains information on perfect square trinomials thatstudents often overlook.I woulduse this as a place to find examples to use for class or as a resourcefor students.
 

Slopeand Rate of Change (Devon Smith and Denise Williams)

edu/REU/reu94/williams/ch1/section3_2.html

Thiswebsite describes slope, how it is calculated, and what it is used for,including parallel and perpendicular lines, and equations of lines of specialcases (vertical/horizontal lines), point-slope form, and slope-interceptform.It also has a good descriptionof change, which precedes the description of slope. 

nstitute/linearFunctions/lsif.html

Thiswebsite is a neat applet that shows what happens to the graph of a linewhen you change the slope and y-intercept.First,it simulates it for you, but you can click on you control and use slidersto change the slope or y-intercept.Italso provides a summary of how these parameters affect the graph of a line.

graph/cslope/

Thiswebsite is a collection of links that takes you to an introduction to slope,how to calculate and use slope, and what slope-intercept form is.Ituses a chameleon as a fun way of introducing lines with different slopes.

document/chapter7/alg.htm

Thisis the e-standards website for the Principles and Standards for SchoolMathematics.In particular, thiswebsite contains the Algebra Standard for grades 9-12, which include manydiscussions about slope.

12.il.us/gbssci/phys/Class/1DKin/U1L3a.html

This websitepresents a physics lesson about describing motion with position versustime graphs.It discusses the meaningof the shape of position-time graphs as well as their accompanying velocity-timegraphs.It also talks about the relationshipbetween slope and velocity.Thereis a link to see animations of various motions with accompanying graphsthat is neat as well.

tion-graphs/graphs-motion-compared.pdf

Thistakes you to a PDF file that has a worksheet and answers dealing with comparinggraphs of motion.It has spaces tofill in the blanks for areas of interest when dealing with position-time,velocity-time, and acceleration-time graphs (such as what the y-interceptmeans, what a positive/negative/zero slope means, etc.)

This websitegives a lesson dealing with slope as a rate of change.Init, students relate the concept of slope to velocity, analyze and interpretgraphs to find slopes, and discover why rates of change vary in parabolas.Studentsuse the CBL and graphing calculator in the lesson.

Thiswebsite provides a neat kid-friendly lesson on studying slope in distance-timegraphs.It discusses average speedand instantaneous speed and how to calculate and interpret each.

Thiswebsite has a lesson on distance-time grahps and slope.Ithas a NEAT demonstration of a car traveling certain speeds and its correspondinggraph!It also has a neat activitycalled Alphabet walk where a students tries to produce some of the lettersof the alphabet by walking a certain distance-time graph.
 

This is a very basic site that includes links to thedefinition of linear regression.Itgives examples of each topic, and there is a quiz at the end.

This site links many different and interesting datasets, which is something every math teacher needs to have readily available.

The people who worked on this site assume the readerknows nothing.It goes step by stepand troubleshoots in each step.

This page gives a very detailed introduction to linearregression.There is an explanationof how linear regression works as minimizing the sum-of-squares and howthis relates to the slope and intercept.Thissite also includes a checklist to figure out if linear regression is theright analysis for the data at hand.Onthe left hand of the page is a list of links that deal with linear andnonlinear data.

This is an extremelyinvolved (12 day) lesson plan designed for an Algebra II class.Ituses election 2000 data in order to teach line fitting linear regressionthe correlation coefficient and probabilistic models.

The teacher of an integrated algebra class used theactivities at this site.The teacherwanted her students to use what they learned about their slope-intercept,point-slope, and point-point exam, so she spent a week working on statisticsproblems.

This applet allows you to place points in the firstquadrant, and it determines the equation of the regression line and graphsit.It also shows the residual asa variable and how it fits in graphically.

This is a detailed lesson plan that includes manylinked lessons and problems.Eventhough the links quit working at one point, there is still a great wealthof information here on Linear Regression and related topics.

This site focuses on complex models, which are modelswhere there is more than one independent variable.Thisis a higher level topic, I think, and it focuses on considering the dataand figuring out what is going on before doing any statistical modeling.

This page has some ideas for using the ti-83 for linearregression.The lesson plan is notone I would use, but the keystrokes are helpful, and it provides a startingpoint for a lesson in linear regression.
 

Similarityand Isoceles Triangles (Kate Mansi and Dail Nixon)

1.www.geom.umn.edu/~dwiggins/conj13.html

Isosceles Triangle Conjectures

Isoscelesand Equilateral Triangles

This website providesdefinitions for isosceles and equilateral triangles; gives some key pointsto remember when working with isosceles and equilateral triangles; andprovides example problems involving the two types of triangles.Thereis also a quiz available to test your knowledge of isosceles and equilateraltriangles.

3.

Constructions of Isosceles and EquilateralTriangles

This website providesa resource for teaching the geometry of Euclid in relation to isoscelesand equilateral triangles via guided constructions in Geometers Sketchpad.Thesite also offers activity extensions, as well as links to other resourcesfor teaching the ideas of Euclid.

4.

I.M.Peis East Building Solving Problems of Form and Function.

This site is anexcellent resource for teachers who want to answer the question, Whenam I ever going to use this isosceles triangle stuff?Thesite tells the story of an architect and one of his projects, whose unifyingelement is an isosceles triangle.Thisis an excellent real-world application of isosceles triangles.

5.

Isosceles Triangle

This website containsa step-by-step exploration of the area of an isosceles triangle, whichis great for introducing Geometry students to the concept.Thesite also provides an explanation of the relationship between the vertexangle of an isosceles triangle and its area, which is an excellent resourcefor students in Trigonometry or even Pre-Calculus.

6.

Nine Paper Models of Polyhedra Made ofIsosceles Triangles

This website isa wonderful resource for teachers of Geometry.Thesite provides reproducible models of polyhedra made mostly of isoscelestriangles.Teachers could use thepolyhedra to initiate classroom conversations as to what properties ofisosceles triangles make them so useful.

7.

Properties of Isosceles Triangles as DevelopedThrough Geometers Sketchpad

This website providesteachers with a wonderful hands-on activity relating to isosceles triangles.Studentsare actively engaged in discovering some properties of isosceles trianglesusing Geometers Sketchpad.Studentworksheets for the activity are provided on the website, as well.

8.

Isosceles Triangles

This site providesa hands-on, cooperative learning activity for Geometry students who arebeing introduced to isosceles triangles.Thesite encourages students to begin by studying definitions and a website,and to then use classroom materials to construct isosceles triangles.Thesite promotes the communication of math both verbally and in written form.

9.

Math Grade Ten Worksheets: Isosceles Triangles

This site providesteachers with free, reproducible worksheets that require students to applytheir knowledge about isosceles triangles.Theneat aspect of the site is that every time Create Worksheet Now is clicked,a new worksheet is created.Teacherscan get many ideas for problems involving isosceles triangles from thiswebsite.

10.

Dividing Triangles into Isosceles Triangles

This website containsan excellent example of a challenge activity for students who have beenstudying isosceles triangles.Studentsare to divide particular triangles into pairs of isosceles triangles basedon their knowledge of the properties of isosceles triangles.Copiesof student worksheets are provided on the site.
 

Geometric Transformationsand Tessellations (Holly Budzinski and Tilola Mitchell)

Probability (Will Joyner)

1.ProbabilityCentral Main Page-Thiswebpage is great.It gives the studentan introduction to probability.Itincludes a probability calculator, and even a poker game to help demonstratethe probabilities of certain events happening.

2.Lessonson Probability From Math Goodies-Thispage contains several lessons on probability ranging from an introductionto conditional probability.It usesreal world applications to help explain each topic in probability.

3.Gamesof Chance-Thiswebsite has several java applets that demonstrate the probability of certainevents happening in certain games.Itis hard though to interpret these results.

4.IntroductionTo Probability Models-Thiswebsite shows the relationship between the possible outcomes of sums ofrolled dice and their frequency of occurrence.Whenrolling one dice, the each sum has an equal chance of occurring.Whensumming many dice rolled at once, we can see a bell curve starting to shape.Italso shows that it can take many events to see the relationship develop.

5.TheMathematics behind Magic The Gathering:Probability-Iwill not use this in class because most people do not play this card game.Thissite though does some calculations on drawing certain cards in an order.Ijust thought it was interesting looking at the probability a certain gamewill turn out.It also tells youthe probability of a certain color/style deck will win.

6.Introductionto Probability-Thiswebsite links to chapters of a probability book used in an introductoryprobability class in college.Iused this book to familiarize myself to probability (chapter 1).

7.Probabilityand chance-Thissite goes step by step in explaining different aspects of probability fromterminology to history to probability rules.Italso has some exercises at the end of the lesson to test your knowledge.

8.MnMActivity-Thisis a lesson plan to determine the probability of the different colors ofMnMs in a bag.I would use this asa sponge file resource for an Algebra I or lower level math class.Thestudents talk about probability without getting too involved, and it wouldbe something easy and fun to do on a day before a break or a day when theteacher is absent.

9.DiceProbabilities - The Wizard of Odds-Thiswebsite looks at the probabilities of rolling 2 dice to get a certain sum.Iused this type of activity on day two of my two-day lesson plan.

10.-Encarta Schoolhouse-Rock Paper Scissors-Thisis a lesson plan to help demonstrate the fairness of another game: Rock,Paper, Scissors.If you dont wantto have all the groups explore the dice experiments, you can use this oneas an alternative.
 
 

Conics and the Ellipse (Jackie Elliott and SherriGarrett)

1.TheMath Forum InternetMathematics Library: Conicscontains links to lessons, FAQs, and resources related to conic sections.Part of the Math Forum site hosted at Drexel University.

2.Conicsfrom Manipulative Math with Java (a Japanese Site) is a page of nine linksto interactive applets. These can be used to demonstrate some of the propertiesof conics and a few methods of constructing them.

3.ConicSectionsfrom ExplorMath,com has four interactive applets to explore vertical andhorizontal parabolas, hyperbolas and ellipses. Exploratory exercises areincluded. A nice feature is the copying of data or graphs to the clipboard. 

4.Mathematics Encyclopedia,Conic Sectionsis an excellent site for an overall review of definitions and propertiesof conics.It is one of the manymath resources from Platonic Realms.

5.Occurrenceof the Conicsis a great site for drawings and real-life uses of conics. Jill Britton,a mathematics instructor from Camosun College, maintains it.

6.PlaneConicsis one of Wilson Stothers'Geometry Pages. Itfeaturesan interactive applet on the focus-directrix definition of conics and additionalinformation including drawings, definitions and theorems. 

7.JohannesKepler:The Laws of Plantary Motionprovides historical information about Kepler and his use of conic equationsto explain the orbit of the earth and other planets. It contains excellentdiagrams and explanations for ellipses.

8.PBSMathlinefeatures an interdisciplinary lesson on the ellipse, using the Blue Roomof the White House as a real world example of an ellipse. A student worksheetis provided, with answers.

9.TheConicSectionsas theLocus of PerpendicularBisectorsis an interactive use of java sketchpad from Key Curriculum Press. By manipulatingfocus and thus adjusting eccentricity, user can see different shaped conicsbeing formed. The directrix can also be shown and animated. 

10.InstructionsUnit on ConicSectionsis provided from the University of Georgia as a supplementto a classroom textbook. It discusses the history, the geometric and algebraicdefinitions, and various types of equations used to represent conics. Thereis also a list of real-world applications at the bottom of this page.

11.ConicSectionsby Xa Lee, present a wealth of information on conics including history,formulas, and properties. Graphs and links to related web sites are alsoincluded.
 

Vectors (Cheryl Keeton)

1)Twenty-ninevector applets from the Manipula Math Applet collection.Goodfor quick explanation and demonstration of vector arithmetic and applications.

http://www.ies.co.jp/math/java/vector/index.html

2)Draggablecomponents of a vector on an interactive applet - Zona Land.

http://id.mind.net/~zona/mstm/physics/mechanics/vectors/componentAddition/componentAddition2.htm

3)AHigh School Physics Tutorial with explanation of momentum, forces, andprojectile motion.Complete withanimations.

http://www.glenbrook.k12.il.us/gbssci/phys/Class/vectors/vectoc.html

4)Mathforum:explanation of vectors and directions for Sketchpad exploration.

http://mathforum.org/~klotz/Vectors/vectors.intro.html

5)Exploratoriumsite shows how a baseball's trajectory is changed by the change in theangle and speed of the ball.Interactiveapplet allows the user to conduct experiments.

http://www.exploratorium.edu/baseball/scientificslugger.html

6)Gallery MathsOnlineThis site shows the differentcoordinsate planes and uses vectors to demonstrate ordered pairs.Doesnot emphasize vectors but would be a good connector between systems.

http://www.univie.ac.at/future.media/moe/galerie/zeich/zeich.html

7)Vector Componentsshows the relationship between right triangle trig and the way in whicha vector is described.Short animationin the right corner displays the horizontal and vertical components.

http://www.ac.wwu.edu/~vawter/PhysicsNet/Topics/Vectors/VectorComponents.html

8)Vectors definition and sections that show how to add and subtract.Notinteractive but the descriptions are colorful and concise.

http://home.nc.rr.com/enloephysics/enloephysics/VECTOR/Page_1x.html

9)TheNCTM Illuminations site E-Example.Absolutelythe best interactive website to explain vectors.Lotsof flexibility for student interaction and questioning.

http://illuminations.nctm.org/swr/review.asp?SWR=179
 
 

10)Vectorsin 3D beautiful colors and graphics.Inputfields allow for interaction and ability to change parameters and perspective.

http://home.a-city.de/walter.fendt/me/line3d.htm