WebQuest
Tradebook Lesson Plan 2 - Quadratic Equations
Process
The name Quadratic comes from "quad" meaning square, because the variable gets squared (like x2).
It is also called an "Equation of Degree 2" (because of the "2" on the x)
More Examples of Quadratic Equations:
| 2x2 + 5x + 3 = 0 |
|
In this one a=2, b=5 and c=3 |
| x2 - 3x = 0 |
|
This one is a little more tricky: Where is a? In fact a=1, as we don't usually write "1x2" b= -3
|
| 5x - 3 = 0 |
|
Oops! This one is not a quadratic equation, because it is missing x2 (in other words a=0, and that means it can't be quadratic) |
Hidden Quadratic Equations!
So far we have seen the "Standard Form" of a Quadratic Equation:
ax2 + bx + c = 0
But sometimes a quadratic equation doesn't look like that!
Here are some examples of different forms for you:
|
In disguise |
→ |
In Standard Form |
a, b and c |
|
x2 = 3x -1 |
Move all terms to left hand side |
x2 - 3x + 1 = 0 |
a=1, b=-3, c=1 |
|
2(w2 - 2w) = 5 |
Expand (undo the brackets), and move 5 to left |
2w2 - 4w - 5 = 0 |
a=2, b=-4, c=-5 |
|
z(z-1) = 3 |
Expand, and move 3 to left |
z2 - z - 3 = 0 |
a=1, b=-1, c=-3 |
|
5 + 1/x - 1/x2 = 0 |
Multiply by x2 |
5x2 + x - 1 = 0 |
a=5, b=1, c=-1 |
Content Area Strategies included in this lesson:
- Anticipitory Set
- KWL-Q
- Question-Answer Relationship
- Read Alouds
- Word Sorts
- Exit Slips
Concept application from Strong:
- Journal about Christopher as he moves to get to England
- Role Playing methods of solving quadratic equations
- Read Alouds
- Creating a song to remember the quadratic formula
8/1/2010 Tradebook Homework Assignment: Read Chapters Prime # 191 to 233. Think about a geometric pattern similar to what Christopher sees though his travels on the London Tube.
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