Quadratics - The Basics

We have started investigating quadratics and will soon be adding a new number system to the mix to help us capture concepts that quadratics give rise to that linear and exponential models do not.  Stay tuned on that.  As for the basics of quadratics here are the concept development lessons around their graphs and behavior as well as the PowerPoint that marches us toward unknown territory.

Practice on the basics can be found on Khan Academy and TenMarks.  Here is the link to Khan Academy and we will be onboarding TenMarks in the coming weeks.

Conceptual Development Lessons:

Quadratic Functions Powerpoint:

 

Fun Factoring Video!

Algebraic Manipulation ... Factoring!

We are entering a brief session on factoring that we will return to time and time again as we continually use algebra to rewrite expressions to serve the particular needs of the moment.  Here are a couple short videos on factoring quadratic expressions and equations to help you engage the work when you are learning on your own.  These videos focus on the procedural side of factoring and are more about the mechanics of factoring.  We will think conceptually about this in class!

To help you think strategically at factoring we referenced this flowchart in class 






After watching the videos below you may want to practice here is an applet with endless practice with answers!

Factoring quadratic expressions in standard form with a=1.

Factoring quadratic expressions in standard form witha not equal to 1.

If you would like to practice AND know

Brief Recall of Functions

Over the last few weeks we have been using function notation to write rules for sequences, but the results are in ... We need to spend a few focused days recalling the meaning and notation surrounding functions.

Find two interactive applets to explore or deepen your understanding of functions embedded below. They are super cool and fun, I promise.

https://www.khanacademy.org/math/algebra/algebra-functions

Visualizing Functions as Graphs

Relating inputs and outputs graphically:

Here is the short presentation that we will engage together as we review of the topic: