An interactive applet that allows the user to graphically explore the properties …
An interactive applet that allows the user to graphically explore the properties of a quadratic equation. Specifically, it is designed to foster an intuitive understanding of the effects of changing the three coefficients in the function. The applet shows a large graph of a quadratic (ax^2 + bx +c) and has three slider controls, one each for the coefficients a,b and c. As the sliders are moved, the graph is redrawn in real time illustrating the effects of these variations. The roots of the equation are shown both graphically and numerically, including the case where the roots are imaginary. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
This lesson unit is intended to help teachers assess how well students …
This lesson unit is intended to help teachers assess how well students are able to translate between graphs and algebraic representations of polynomials. In particular, this unit aims to help you identify and assist students who have difficulties in: recognizing the connection between the zeros of polynomials when suitable factorizations are available, and graphs of the functions defined by polynomials; and recognizing the connection between transformations of the graphs and transformations of the functions obtained by replacing f(x) by f(x + k), f(x) + k, -f(x), f(-x).
The PhET Activities Database is a collection of resources for using PhET …
The PhET Activities Database is a collection of resources for using PhET sims. It includes hundreds of lesson plans, homework assignments, labs, clicker questions, and more. Some activities have been created by the PhET team and some have been created by teachers.
This hyperdoc guides students through 5 steps of a "Superhero Project". The …
This hyperdoc guides students through 5 steps of a "Superhero Project". The projects serves as a capstone in the Secondary Math I classroom for online students. The project asks students to demonstrate the knowledge they have gained about linear and exponential equations.
In this students will develop their knowledge of transformations as it applies …
In this students will develop their knowledge of transformations as it applies to all functions. This lesson focuses on linear, quadratic, absolute value, exponential and radical functions. Students will need access to internet and graphing utilities.I have included the assessment I used to asses this unit. See "Resources" tab in the right.
This task examines, in a graphical setting, the impact of adding a …
This task examines, in a graphical setting, the impact of adding a scalar, multiplying by a scalar, and making a linear substitution of variables on the graph of a function f. The setting here is abstract as there is no formula for the function f. The focus is therefore on understanding the geometric impact of these three operations.
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