Explain+Your+Reasoning+to+Others

=Overview= One of the Standards for Mathematical Practice is **Construct viable arguments and critique the reasoning of others**. This Mathematical Practice requires students to:
 * understand and use stated assumptions, definitions, and previously established results in constructing arguments
 * make conjectures and build a logical progression of statements to explore the truth of their conjectures
 * analyze situations by breaking them into cases,
 * recognize and use counterexamples
 * justify their conclusions,
 * communicate them to others
 * respond to the arguments of others
 * reason inductively about data, making plausible arguments that take into account the context from which the data arose
 * compare the effectiveness of two plausible arguments,
 * distinguish correct logic or reasoning from that which is flawed, and—if there is a flaw in an argument—explain what it is
 * listen or read the arguments of others, decide whether they make sense, and ask useful questions to clarify or improve the arguments.

On this trail of learning, you will: > 1. activate your prior knowledge about conjectures using an online graphing calculator > 2. read //Is It Always True? From Detecting Patterns to Forming Conjectures to Constructing Proofs// > 3. use a persuasive essay planning strategy called D.A.R.E. > 5. share your D.A.R.E. planning strategy >> a. rubric: >> b. place the completed rubric in the dropbox folder you shared with me >> Each of the tasks, listed above, will be displayed on a separate wikipage to limit cognitive overload.

Task 1, Propose a Conjecture
> a.) y = x^2 + 2x + 2 > b.) y = -2x^2 + 3x - 3 > c.) y = 3x^2 + 4
 * **Desmos Graphing Calculator** || **Directions** ||
 * media type="custom" key="28077857" align="center" || 1. Graph the following quadratic equations on the online graphing calculator to the right

2. Post an anonymous conjecture on the VoiceThread below > a. > b. How do I login to Dr. Shively's VoiceThreads? > c. How do I post comments on a VoiceThread? media type="custom" key="28077861" align="left" ||

== Next up... Read Is It Always True? From Detecting Patterns to Forming Conjectures to Constructing Proofs You can do this by clicking on the hiker. ==