Learning Resources

Home »  » Courses » Mathematics » Advanced Mathematics 3205 (delisted) » Unit 01 » Set 05 ILO 01 » Go to Work

Lesson

Case Study #1

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.

Case Study #2

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

Case Study #3

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

Activity

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

  • a portfolio item
  • as a homework project as part of an end of chapter review
  • as a quiz item or test item

Check with your teacher for further instructions!

Test Yourself

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