Here is the task:

__Quadratic Graph Project__1. Take a digital copy of a picture which has a parabolic shape in it.

***I just created a class log on and password***

3. Select blank template.

4. Select

*insert*picture, and import your picture onto the prezi.5. Using

*insert*à*shapes*à*lines*, draw in two axes.**Neither axis may go through the vertex of the parabola.**6. Using either the pen tool or the circle tool, create a point on the vertex of the parabola

7. Label the vertex using points which are appropriate.

a. Vertex:____________

8. Label another co-ordinate on the graph.

a. Point:_____________

9. Using your vertex and co-ordinate you created, determine the value of . Show your work on Prezi.

*a*, either as a fraction or a whole number, if your parabola was written in standard forma.

10. Label another 4 points on your graph. Try to space out the co-ordinates evenly across the parabola.

a. Point 1:_______

b. Point 2:_______

c. Point 3:_______

d. Point 4:_______

e. Vertex:_______

11. We will now have the calculator create the function.

a. On your calculator, push STAT, then EDIT…

b. In the first column (L1) input all the

**, and in the second column (L2) input all the***x-values***of the points.***y-values*c. Click STAT, then the right arrow (à) to the CALC menu, then scroll down to QUADREG.

d. Write down the values your calculator gives you,

**to the nearest hundredth**if necessary. a:__________

b:__________

c:__________

12. Inputting your values into general form your function will be_____________________

13. Change your general form into standard form, by completing the square. Show your work in prezi.

a. Your standard form now is ________________

b. State the vertex, domain, range, direction of opening, and axis of symmetry from the function above.

b. State the vertex, domain, range, direction of opening, and axis of symmetry from the function above.

14. Write a couple of sentences explaining any differences from the vertex you stated in part 7, and the vertex in part 13.

15. Using the equation from Part 9, determine the functions

*x*and*y*intercepts, if the picture was extended such that it intercepts both axes. Solve this part by**graphing**.a.

*x*-intercept________b.

*y*-intercept________16. Using the equation from Part 12, determine the functions

*x*and*y*intercepts, if the picture was extended such that it intercepts both axes. Solve this part by**the quadratic formula**.a.

*x*-intercept________b.

*y*-intercept________Here is an example of my student working up to Section 14.

Great form of differentiated assessment. I have a couple of questions. Why did you have the students use Prezi instead of say Geogebra or Sketchpad? Could have shown their work in Geogebra using text boxes and could have gotten very exact coordinates of points on parabolic shape.

ReplyDeleteAre you going to use a rubric to assess the student work? If so, can you please share the rubric.

Only thing that makes me cringe a little is that each step in this assessment depends on the students getting the previous step correct. But, good assessment is meant to be messy not nice!!

Thanks for sharing this idea. Makes the rest of us think how we can change our assessment practices.

I like to use Microsoft Paint to do this kind of curve-fitting. It's easy to get the exact coordinates of a pixel if you zoom to 800%.

ReplyDeleteThis is so interesting - I wish I had seen this when I was student teaching in the fall, I could have done this with the class. Thank you for sharing this!

ReplyDelete