Centre for Distance Learning and Innovation

Lesson

To complete this exercise you may work on your own or with a partner at your teacher's direction. The analysis used will require you to

model a real problem
use the quadratic formula to find the roots of a quadratic equation
use the discriminant to predict the nature of the roots
write the quadratic equation as a function and change it to its transformational form
check x-intercepts of a quadratic graph
use transformational techniques to graph the quadratic function
research a well known mathematical topic - golden section - and its applications. Check the internet ; especially if your library facilities are limited.

To complete this exercise you may work on your own or with a partner at your teacher's direction. The analysis used will require you to

find the roots of a quadratic equation and relate these to the x-intercepts of the corresponding quadratic function
indicate the maximum or minimum y-value for a parabola
determine the equation from given information
determine the transformational form of a quadratic function
use regression to find a quadratic relationship
examine the sum and product of the roots with respect to the quadratic equation

To complete this exercise you may work on your own or with a partner at your teacher's direction. The analysis used will require you to

use growth patterns that are linear, quadratic and/or higher-power functions
distinguish between these patterns
model real-world quadratic relationships
use the quadratic formula
use roots to determine the number and location of the
x-intercepts of a quadratic function

These items may be used by your teacher as items for:

Check with your teacher for further instructions!

Discuss issues surrounding these case studies/extension with your teacher and on/or classmates.