Good Questions for Algebra
Version 7,
changed by LFS.
04/14/2007.
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Equation of Line through y=x2
| Level: |
10th grade (Algebra 1) |
| Problem: |
Q1. Find the equation of a line through two points on the parabola y=x2.
Q2. Make an interactive geo-exercise for your work.
Q3. Can you find simpler formulas for the slope and y-intercept?
Q4. Can you prove these formulas?
|
| Goal: |
Utilize and reinforce basic techniques from Algebra 1 in a visually and mathematically understandable process.
|
| When: |
After teaching quadratics. |
| Format: |
Webpage (html) by Students!
|
| Author: |
Robert Fant
|
| Comments: |
(LFS) Students use basic techniques from understanding coordinate values of a point on a function and then finding the slope-intercept form of a line. Further investigation allows trial-and-error testing for a formula. Finally - for your best students - going back to find a proof by actually using factoring of the difference of two squares and drawing conclusions.
At any point, students can design a corresponding interactive geogebra exercise - an amazingly good question (and a wonderful result from these two students)! | |
|
Please contribute your thoughts, suggestions and - of course - your good guestions! LFS
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