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4434Population Modeling Applet
http://www.merlot.org/merlot/viewMaterial.htm?id=314085
In this applet, the user applies Euler's Method to modeling population growth using the Malthus exponential model and the Verhulst constrained growth model. After finding the Euler solution, the user can check the solution with the Adaptive Euler Approximation or with a slope field. Also, the user can enter an exact solution obtained from separating variables (or whatever) and again check the Euler solution graphically.Math Warehouse
http://www.merlot.org/merlot/viewMaterial.htm?id=401116
This site has has interactive explanations and simulations of math from alegrbra to trigonometry. Just click the "interactive" tab on the top left menu and you can choose different simulations. It includes, the complete definition of parabolas, reaching beyond the ability to graph into the realm of why the graph appears as it does. It also has vivid descriptions of angles including circle angles for geometry. It also has calculators for principal nth roots, gdc, matrices, and prime factorization. It's definitely worth checking out. Quote from site: "A parabola is actually a locus of a point and a line. The point is called the focus and the line the directrix. That means that all points on a parabola are equidistant from the focus and the directrix. To change the equation and the graph of the interactive parabola below just click and drag either the point A, which is the focus, or point B, which controls the directrix." This is an interactive site that allows people to change the graph to understand why directrix and focus dictate parabolic graphs. Adding apples and oranges
http://www.merlot.org/merlot/viewMaterial.htm?id=687149
To calculate the value of an apple and an orange from 2 purchases.About mental arithmetic, with a pre-algebra tool introducing the Gaussian elimination.In the mirror site, there's the Android 2.2 (and up) version of this program.Adding apples oranges and pears
http://www.merlot.org/merlot/viewMaterial.htm?id=688991
To calculate the value of apple, orange, pear from 3 purchases.About mental arithmetic, with a pre-algebra tool introducing the Gaussian elimination.Adding apples oranges pears and lemons
http://www.merlot.org/merlot/viewMaterial.htm?id=689015
To calculate the value o apple, orange, pear and lemon from 4 purchases.About mental arithmetic, with a pre-algebra tool introducing the Gaussian elimination.Apples And Oranges 1 Decimal App for Android
http://www.merlot.org/merlot/viewMaterial.htm?id=794866
This application is a basic tool for teaching algebra.Trying to solve a system of linear equations with two equations and two unknown variables. (Two purchases)It contains:. A button that generates new questions (״two new purchases of fruits״).. Two drop-downs to select a solution and a button to verify: The verification button checks the solution, and adds it to the list of the session.You can edit the statements. The program checks if the determinant of the proposed statement is nonzero.. The 5 tools to help resolve the problem:* Tool 1: Gauss-Jordan elimination:The two equations are represented as two purchases of fruits.Contains tools to add one column to another, multiply, divide and change the sign for to get to have one apple on a side and and an orange at the other.The result of the two additions are the values of apple and orange.* Tool 2: Graphic:Contains a graphic frame and 2 drop-downs to find the solution, using the method essay / error.The problem posed is a linear system of equations, so the results must be ever into two lines that intersect.To get the answer, one should find this point.You can also click directly on the chart.The graph is divided by the diagonal.Below the diagonal, apple values are entered, for to get the values of the orange.Above the diagonal, one enters the price of the orange.The meeting point of the two lines is represented by a yellow dot.* Tool 3: Two weighing scales:Shows two weighing balances. On the left, due to its drop-down, which determines the value proposed for apples: results gives the price of oranges in terms of the two equations.The right hand scale gives the results from the proposed price for oranges.When a scale is balanced, gives the results of both the price of the apples and oranges.* Tool 4: Cramer's Rule:This tool solves the problem at once.Contrary to what happens in other tools, here we have to manually enter the data of the problem. The two equations (two purchases) are represented in horizontal rows.If you have not entered data, the tool warns that you can not solve the problem.It can also warn when the determinant is zero:The determinant is zero when the two lines that we saw in the graphical tool, are not crossing. This happens when they are parallel. And the lines are parallel when a purchase (equation) is linear function of the other. (eg 1 A + 2 O =n1 and 2 A + 4 O = n2)The program automatically never generates such problems.* Tool 5: Inverse matrix:The tool represents the terms of the equation automatically and in landscape format (each purchase is a row)The resolution tool there are the terms of the two equations on the left and the identity matrix at right.The objective is to calculate the inverse matrix.This is achieved by operating the rows, until the data from the equations (on the left) become the identity matrix.At this time to the right we have the inverse matrix.The multiplication of the results vector by the inverse matrix gives the solution.This app costs $1.25GAUSS - A Graphic Calculator
http://www.merlot.org/merlot/viewMaterial.htm?id=85013
A free, interactive tool to graph any mathematical function. Developed with Macromedia Flash and Action Script programming language.How much pizza to order?
http://www.merlot.org/merlot/viewMaterial.htm?id=709006
Application on addition of fractions.Working with italian pizzas, improper fractions and mixed fractions.The program raises the problem from a hypothetical party where the guests ask for a specific pizza fraction. Guests can only choose two types of pizza for each party.The program calls for the total amount you end up ordering pizza.In order to solve the most difficult problems is a tool to help solve, finding the common denominator.There is a video as support material: http://youtu.be/TVTzNwDPmLU(Video soundtrack: 'O surdato nnammurato' (written by: Aniello Califano Composer: Enrico Cannio) Voice by: Beniamino Gigli) (In Neapolitan language)This program has a castilian (spanish) version and catalan version in the nummolt site:״Cuanta pizza encargamos?״ & "Quanta pizza encarreguem?״There's a free Android (V2.2 and up) version in the mirror link: (multilingual version: en, ca, es, fr, it)https://play.google.com/store/apps/details?id=nummolt.howmuch.pizzaManipuladores Virtuales para Matemáticas
http://www.merlot.org/merlot/viewMaterial.htm?id=557508
Los Manipuladores Virtuales son los objetos visuales que ayudan a ilustrar las relaciones matemáticas y sus aplicaciones. estos manipuladores permiten a los estudiantes para examinar visualmente, explorar y desarrollar conceptos.La Biblioteca Nacional de Manipuladores Virtuales (NLVM)de la Universidad Estatal de Utah posee una colección NLVM de más de 100 programas de software interactivo, llamado "applets״, son un medio eficaz para acelerar y profundizar la comprensión de los estudiantes de matemáticas.Razones trigonometricas en un triángulo rectángulo
http://www.merlot.org/merlot/viewMaterial.htm?id=564276
Compara las razones trigonométricas de un ángulo agudo en el triángulo rectángulo. De una manera didáctica, luego de indicar como se determinan las razones trigonométricas, queda la idea que las razones trigonométricas dependen de los lados del triángulo, siendo que dependen del ángulo. Con esta presentación interactiva queda en evidencia que las razones trigonométricas efectivamente dependen de los ángulos agudos del triángulo rectángulo. Sólo basta seguir las actividades que se encuentran en la parte inferior. Toda la presentación interactiva está realizada en geogebra.