Reflection & Citation
By: Shawn M | 05/08/2016
Reflection
Overall Unit Reflection
To end off, I believe that the unit quadratics was very interesting and fun. Though quadratics got confusing at times, it was a great learning experience that will surely lead me to a bright and successful future. The unit quadratics is based on graphing lines that are non-linear, also known as parabolas. Quadratics is a very useful unit, which will be effective for our futures.
Connections
Factored form connects to graphing:
When factoring a standard form equation, you are able to find the x-intercepts of the parabola which will get you one step closer to graphing the equation.
Vertex Form connects to graphing:
When you complete the square of a standard form equation, you are able to find the vertex of the parabola, this will give you an advantage when graphing, as you know the highest or lowest point in the graph.
Factored form connects to standard form:
A factored form equation is practically the standard form equation (variables don't change) however now you see the x-intercepts more easily. They also connect as you can get from factored form to standard form by expanding the equation. You can also get from standard form to factored form by factoring the equation.
Assessment
The image below shows what I received on my quadratics standard form test. I chose this as my assessment that I would share because I struggled a lot with this unit in the start, and finally, after large amounts of practice, I was able to answer almost all of the question correctly (especially the word problems), I only made a silly mistake by forgetting to label a variable and also ran out of time for one question.Citation
References
3.14 Completing the square. (n.d.). Retrieved May 10, 2016, from https://youtu.be/JollF9HI1-0
Algebra- Factoring Greatest Common Factor. (n.d.). Retrieved May 10, 2016, from https://youtu.be/UxBO7GXFh_Y
Equation of a Parabola. (n.d.). Retrieved May 10, 2016, from http://www.mathwarehouse.com/geometry/parabola/standard-and-vertex-form.php
Factoring Polynomials. (n.d.). Retrieved May 10, 2016, from http://www.algebralab.org/lessons/lesson.aspx?file=algebra_factoring.xml
Graphing Quadratics Using Step Patterns. (n.d.). Retrieved May 10, 2016, from https://youtu.be/SFc4F0iUF3U
Mapping Notation. (n.d.). Retrieved May 10, 2016, from https://youtu.be/DQtW4wTF72g
Online Help. (n.d.). Retrieved May 10, 2016, from http://www.maplesoft.com/support/help/maple/view.aspx?path=MathApps/FactoredForm
Prealgebra 10.4d - Multiplying Binomials FOIL Method. (n.d.). Retrieved May 10, 2016, from https://youtu.be/bumoT28a6TU
Solving Quadratic Equations using the Quadratic Formula - Example 1. (n.d.). Retrieved May 10, 2016, from https://youtu.be/JSwjmTFMDwg
Standard Form. (n.d.). Retrieved May 10, 2016, from http://www.mathsisfun.com/algebra/standard-form.html
The Quadratic Formula Explained. (n.d.). Retrieved May 10, 2016, from http://www.purplemath.com/modules/quadform.htm
The Quadratic Formula: How to Use the Discriminant to Determine Roots. (n.d.). Retrieved May 10, 2016, from https://youtu.be/tGH0xcT8q90