Student Resources

UNIT IV: Graphical Analysis of Quadratic Functions

eTools

1 Completing the Square Applet
This applet allows the user to work through problems and check their answers.
2 Transformations
This link allows the student to change values of a, h, and k, and see how the quadratic graph is transformed.

Graphing Calculator

3 Quadratic Regressions
This link provides calculator instructions for finding the quadratic regression equation.
4 TI-Nspire Activity: Transformations
This TI-Nspire Activity has students explore how changing the values of a, b, and c transforms the graph.

Labs

5 Making the Most of Your Space
At the completion of this lab, students will be able to write the equation of a parabola to model the length (or width) versus area of a specified perimeter.

Reviews

6 Completing the Square
This link provides a review for completing the square.
7 Completing the Square Practice
This link provides practice problems for completing the square.
8 Evaluating Quadratic Models
This link provides review of how to evaluate quadratic functions.
9 Graphs of Quadratic Functions
This link provides a review for graphing quadratic functions.
10 Max/Min of a Quadratic Model
This link provides review of finding the maximum or minimum of a quadratic model.
11 Projectile Motion
This link provides practice with problems dealing with projectile motion.
12 Quadratic Regression
This link provides review of quadratic regression.
13 Second Differences
This link provides a review of second differences.
14 Translations of Parabolas
This link provides review for translations of parabolas.
15 Vertex of a Parabola
This link provides a review for finding the vertex of a quadratic function.
16 Writing Quadratic Equations
This link provides review and practice for finding the quadratic equation passing through three points.

Video Segments

17 Real World Problems (DE Streaming) Video Clip 4 and 7
This video shows examples of how quadratic functions are used in the real world (Student Login: hcpss_student, Password: student).
18 Real World Video: Braking Distance (DE Streaming) VIdeo Clip 15
This video shows how the approximate braking distance of a car can be modeled by a quadratic function (Student Login: hcpss_student, Password: student).

UNIT V: Algebraic Analysis of Quadratic Functions

eTools

1 Proof of the Quadratic Formula by Completing the Square (Applet 1)
This applet allows the user to fill in the blanks to complete the proof and discover the quadratic formula.

Projects

2 GT Project: The Mandelbrot Set
For this project, students use recursive formulas and a downloaded program for the calculator to design a mandelbrot set.

Reviews

3 Analyzing the Discriminant
This link provides practice for finding the discriminant.
4 Complex Number Operations
This website is a detailed review of everything with complex numbers.
5 Definition of Complex Number
This link provides a review of the definition of a complex number.
6 Operations with Complex Numbers
This link provides practice with operations on complex numbers.
7 Quadratic Regression
This link provides review of quadratic regression.
8 Simplifying i^n
This link reviews how to simplify i^n.
9 Solving Quadratic Equations
This link provides a review for solving quadratic equations.
10 Solving Quadratics by Factoring
This link provides a review for solving quadratic equations by factoring.
11 Using the Quadratic Formula
This link provides a review for solving quadratic equations using the quadratic formula.