Quadratic Equations Project
DUE: March 14th.
We’ve spent two weeks talking about quadratic equations, how to graph them, how to factor them, and how to solve them. As we get ready for our last chapter test of the semester, we are going to create a small project. It is due no later than the beginning of class on March 14th.
For your project you can choose to either make a small poster, a scrapbook, or a flip‐book. Whichever style of project you choose, it needs to have information on 6 topics. Each project must include the following:
1. How to graph quadratics in standard form (y = ax2 + bx + c), including finding the axis of symmetry, the vertex, making a small table, and an example!
2. How to graph quadratics using vertex form (y = a(x - h)2 + k), including finding the vertex, the axis of symmetry, making a small table, and an example!
3. Solving quadratic equations by taking square roots, including some examples!
4. Solving quadratic equations by factoring, including some examples!
5. Solving quadratic equations by completing the square, including some examples!
6. Solving quadratic equations using the quadratic formula, including some examples!
7. (Extra Credit) Create a fun and creative word problem that involves a quadratic equation. Give a picture and graph of the situation as well as a solution.
The project is worth a total of 100 points and will be graded using the rubric/checklist included on the back of this page. You will be given 30 minutes of class time on Tuesday and Wednesday of this week to work on the project, any additional time will need to be taken at home; make the most of the time you’re given!
This should be a fun way to review for the test, a chance to be creative, and an opportunity to help your grade if you’re worried about the end of the semester. Not doing the project completely would be a poor choice.
Quadratics Project Rubric
GraphingStandard Form / Explanation of
standard
quadratic form
(3 pts) / Explanation of
finding axis of
symmetry
(3 pts) / Explanation of
finding vertex
(3 pts) / Clear & correct example of graphing a
quadratic in standard form
(6 pts)
Graphing Vertex Form / Explanation of vertex form
(3 pts) / Explanation of finding vertex
(3 pts) / Explanation of finding axis of
symmetry
(3 pts) / Clear & correct example of graphing a quadratic in vertex form
(6 pts)
Solving Quad’s
with Square
Roots / Explanation of
what a “root” or
“solution” is
(3 pts) / Explanation of
how square roots
can be used to
solve quadratics
(3 pts) / Example of
solving quadratic
equation using
square roots
(3 pts) / Example of
solving quadratic
equation using
square roots
(3 pts) / Example of
solving using
square roots with
complex solution
(3 pts)
Solving Quad’s
with Factoring / Explanation of
what a “root” or
“solution” i / Explanation of
factoring
methods
(3 pts) / List of factoring
“shortcuts”
(3 pts) / Example of
solving quadratic
using factoring
(3 pts) / Example of
solving quadratic
using factoring
(3 pts)
Solving Quad’s by
completing the
square / Explanation of
what a “root” or
“solution” is
(3 pts) / Explanation of
completing the
square
(3 pts) / Example of
solving quadratic
by completing
the square
(3 pts) / Example of
solving quadratic
by completing
the square
(3 pts) / Example of
solving quadratic
by completing
the square
(3 pts)
Solving Quad’s
with the
Quadratic
Formula / Explanation of
what a “root” or
“solution” is
(3 pts) / Correct Quadratic
Formula
(3 pts) / Example of
solving quadratic
using Quad.
Formula
(3 pts) / Example of
solving quadratic
using Quad.
Formula
(3 pts) / Example of
solving quadratic
using Quad.
Formula with
complex solution
(3 pts)
Extra Credit Word
Problem
(Only available if other 6
pages are complete) / Clear & creative
word problem
that uses a
quadratic eq.
(3 pts) / Graph of
situation
(2 pts) / Step‐by‐step
solution to
problem
(3 pts) / Interpretation of
answer in context
of problem
(2 pts)
Overall Project / Is the project clear, easy to read, colorful, and overall something to be proud of?
(10 points)