The students will develop an algebraic expression from geometric representations and ultimately ...

The students will develop an algebraic expression from geometric representations and ultimately graph quadratic equations with understanding. The students will also develop a better understanding of algebraic expressions by comparing with geometric, tabular, and graphical representations.

This applet is designed to allow students to explore how the coefficients ...

This applet is designed to allow students to explore how the coefficients of a quadratic equation affect the shape and location of its graph. The applet can be used to enable students to discover a formula for the Axes of symmetry equation, or to use the

This lesson aims to help students with quadratic functions y = ax2 ...

This lesson aims to help students with quadratic functions y = ax2 + bx + c. This is the next step after linear functions bx + c. The lesson begins with three quadratics and their graphs (three parabolas): y = x2 - 2x + (0 or 1 or 2). The prerequisite or co-requisite is some working experience with algebra, like factoring x2 -2x into x(x-2). The objective is to connect four things: the formula for y, the graph of y (a parabola), the roots of y and the minimum or maximum of y. The particular example y = x2 – 2x could be repeated by the teacher, for emphasis. The lesson will take more than one class period (and this is deserved!). The breaks allow time to consider parabolas starting with -x2 and opening downward. A physical path would be one (dangerous?) activity.

This applet allows students to change the Vertices of a parabola and ...

This applet allows students to change the Vertices of a parabola and how it affects the equation of the parabola. This applet uses a = 1 for all of the parabolas. Integer values for Vertices location.

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 solve quadratics in one variable. In particular, the lesson will help teachers identify and help students who have the following difficulties: making sense of a real life situation and deciding on the math to apply to the problem; solving quadratic equations by taking square roots, completing the square, using the quadratic formula, and factoring; and interpreting results in the context of a real life situation.

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