Definite Integral of a Quadratic Function In this tutorial students learn how to evaluate the definite integral of a quadratic function. The students will also learn how to verify the results on a TI-84 Plus C graphing calculator. Virginia Standards of Learning(SOL) APC.11 The student will find antiderivatives directly from derivatives of basic functions and by substitution… Read More »
Quadratic Equation In this tutorial the students are given a quadratic equation. This equation models the flight path of an arrow. The students find the distance traveled and the maximum height attained by the arrow. They will have to apply the quadratic formula and vertex expressions. Lastly, they will use the TI-84 graphing calculator to verify the results.
Minimum Value In this tutorial the students will learn how to determine the minimum value given a word problem. The students will accomplish this by creating expressions that will later help us define quadratic equations. The students use the expression to calculate the vertex of a parabola help them to solve this word problem. Word Problem:… Read More »
Vertex In this tutorial the student will learn how to find the vertex given a quadratic equation in standard form and verify the results using technology. Standard Form Vertex expressions Vertex Once the quadratic equation is placed in standard form you are then able to easily identify a, b, and c. Once you have made those identifications you… Read More »
Completing the Square Explained Graphically In this tutorial students will graphically see how Completing the Square works. The students will use this method to convert a quadratic equation to a perfect square trinomial. This method is useful because it is very easy to find the roots(solutions) to a perfect square trinomial.
Graphing Quadratic Equations In this tutorial students will learn about graphing quadratic equations on a TI-84 Plus C graphing calculator. A quadratic equation is a second degree polynomial. The largest exponent in a quadratic equation is 2. When graphed a quadratic equation forms a parabola. A parabola has several distinct parts named the focus, vertex, axis of symmetry and directrix.
Quadratic Equation with Exponential Terms In this tutorial the students will learn how to determine the value of x for the given equation. The equation contains exponential terms that will be temporarily replaced by a variable. This substitution creates a quadratic equation. Now the students can apply the quadratic formula. The students will also verify their… Read More »