Learning Resources
Lesson
During this lesson use common differences to identify the quadratic relations and find the functions that represent these relations. Graphing will be an important means to determine the maxima and minima of quadratic functions.
Complete the Investigation and Investigation Questions (p.20) before continuing with the lesson.
If you are having difficulty with this investigation, click here for help.
Complete the Challenge Yourself (p.20) and compare to the investigation. Can there be more than one semi-circle with 50 meters of fencing? Why? or Why not?
Activity
Investigation questions p.20-21. Complete 18 and 19
Challenge Yourself p.20 and p.21
Think About p.20
Check Your Understanding p.21-22. Complete 20 to 27 inclusive
When you have completed these questions, ask your on-site teacher to get the solutions for you from the Teacher's Resource Binder and check them against your answers. After you do this, if there is something you had trouble with and still do not understand, contact your on-line teacher for help.
After you do the assigned activities, continue on to the Test Yourself section below for a quick quiz on this lesson.
Test Yourself
If one side of a right-triangular lot is to be a river, find an equation to model the areas that may be enclosed with 100 meters of fencing. What is the maximum area possible.
Check a possible solution.