# EdTech 537: Week 4

This week we were to post an entry that shows a series of links. The links could have some sort of a common theme. Second, we are to make a list entry. This list could be a list of any topic. As professor Barbour described it, a top ten list is an example. Finally, we were to post a discussion question entry. The purpose of this type of entry is to encourage the beginnings of a conversation with others on your blog.

## EdTech 537: List Entry

al·ge·bra
ˈaljəbrə/
noun
noun: algebra
1. the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
• a system of algebra based on given axioms.
plural noun: algebras

Some numbers, such as your phone number or your Social Security number, are decidedly more important than others.  One of the cornerstones of Algebra, frankly all of mathematics, is numbers!  Here is my list of some of the most important numbers in Algebra:

1)  Of course the first number must be:  1!!

The number one is far more special than a prime!  It is the unit (the building block) of the positive integers, hence the only integer which merits its own existence axiom in Peano’s axioms.  It is the only multiplicative identity (1.a = a.1 = a for all numbers a).  It is the only perfect nth power for all positive integers n.  It is the only positive integer with exactly one positive divisor.  But it is not a prime.

source:  Primes FAQ

### 2)  Archimedes’ Constant (Pi): 3.1415…

Archimedes’ constant, or “Pi,” is the name given to the ratio of the circumference of a circle to the diameter, but it’s actually so much more than that.

Greek mathematician Archimedes is credited with the first theoretical calculation of Pi, which he estimated was between 3 10/71 and 3 1/7 — or 223/71.

Pi is now defined as 3.1415926535… etc

Application: Pi is the key constant in any equation that involves circular or harmonic motion. It’s one of the most essential relationships in mathematics.

Source: Math.com

### 3)  Euler’s Number (e): 2.7182…

Wikimedia

4) Euler’s Constant

Euler’s number is also known as the exponential growth constant. It is the base for natural logarithms and is found in many areas of mathematics.

Application: In finance, Euler’s number is used to determine compound interest, which is extremely vital in understanding the time value of money — the backbone of finance.

Moreover, Euler’s number is crucial when describing any decaying relationship – think Carbon 14 dating.

Source: Math Is Fun

### 5)  The Golden Ratio: 1.6180…

The golden ratio is a number often encountered when taking the ratios of distances in geometric figures.

Application: The golden ratio is often used in financial technical analysis to attempt to determine when a market will continue its path or reverse.

It’s also observed very frequently in nature, especially in the way that some naturally occurring spirals expand outward.

Source: Forexoma

6)

### Imaginary Unit: i

“i” equals the square root of -1, which means that i squared is equal to -1.

Application: Negative numbers don’t have square roots. Math had advanced to the point where saying “there is no square root of negative numbers” was holding back a lot of progress.

Solutions of some polynomials have both real solutions that we could use in real life as well as solutions that involved the square root of a negative number, which can be discarded.

Source: Wolfram

7)  The “perfect squares”
The important feature of the “perfect square” numbers is that they are the squares of Whole Numbers!  They are “perfect” because there are no fractions or decimals.  They literally describe the area of a square.  Taking the square root of a perfect square will give you the length of one side of your square.

## 10 Things I Have Learned About 9-12 Online Teaching

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## Angie’s Top Ten List

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Did you know that there is an easy way to share all of your favorite links?

Check our Symbaloo!  Symbaloo is a personal startpage that allows you to easily navigate the web and compile your favorite site all in to one visual interface. Save your bookmarks in the cloud and access them from anywhere with any device.  Symbaloo is a visual bookmarking tool that makes it simple and fun to organize the best of the web. You and your students will have all your favorite websites at your fingertips. With an account you and your students can access your bookmarks from everywhere with any device and share online resources with others.  Create your personal startpage for the web and connect your social media and read RSS feeds!  Your students can easily find all the resources you set up for them in one location!

I have put together my favorite Algebra links here

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## EdTech 537: Creating a Theme and Links

Now is the time to focus on links!!

My Theme is Algebra!!   I chose to provide a simple list of my favorite Algebra resources.  Every time I am looking for resources or ideas I always wish I had everything in a central location.  Although this may not be exactly what the assignment calls for – I know that I will be glad I have put everything in one location!

Here are some of my favorite links:

Algebra Resources:

Algebra Nation:  A site dedicated to helping teachers and students succeed on the Algebra 1 End-of-Course exam (EOC).

Algebra-Class.com:  A website with some simple algebra lessons for typical Algebra 1 class. Each lesson has a brief introduction followed by several examples with detailed explanations, and then a few practice problems.

Ask Dr. Math, http://mathforum.org/dr.math/.  A perfect site to research specific math questions.

Common Core State Standards Initiative:  Forty-four states, the District of Columbia, four territories, and the Department of Defense Education Activity (DoDEA) have adopted the Common Core State Standards.  This site provides critical and specific information for any teacher who wants to make sure their lessons are in line with the current standards.  Detailed information relating to Algebra 1 standards are provided.

Cut the Knot:  This site contains Interactive Mathematics Miscellany and Puzzles

Edheads:  uses simple animations to help students understand science and math concepts

Edmodo:  social networking site for teachers and students

Explore Learning:  Interactive online simulator for Algebra.

Franklin Institute:  Creates instant and interactive graphs.

Geometers Sketchpad:  Site that allows students to interactively manipulate graphs of polynomials.

Interactive Games and Puzzles for Algebra 2:  Interactive games and puzzles for topics covered in Algebra 2.

Interactive Math:  An extensive list of algebra lessons from Interactive Mathematics. Each section has an interactive quiz.

IXL:  Interactive practice for algebraic concepts.

Khan Academy:  Instructional and supplemental videos for all topics related to Algebra.

Math.com:  Provides students with extra help, hints, and tutoring for Algebra.

Math Forum:  Resources for teachers and students for all mathematical topics.

Math is Fun:  A resource to clarify fundamental polynomial facts

NCTM:  National Council of Teachers of Mathematics Standards.

Phet:  Interactive simulator for math and science.

Purple Math:  This site provides Algebra 1 lessons that emphasize the practicalities of understanding the questions and intelligently and simply arriving at the answers.

Regents Prep:  Site that provides summary notes and examples for all Algebra concepts.

Softmath:  Site that helps students solve any algebraic equation.

S.O.S. Math:  The site provides multiple resources and practice problems (with detailed solutions) for Algebra 1.  Some of the key topics covered are:  order of operations and all forms of linear and quadratic equations.

Sketchup:  Resource for students having difficulty visualizing real applications of Quadratics.

Texas Instruments:  A teacher’s collection of lessons and activities utilizing the Texas Instrument’s graphing calculator (all models) specifically designed for an Algebra 1 course.

WinSite!:  Presents an amazing array of software, games, and utilities related to mathematics.

XtraMath:  A free web program for students, teachers and parents to support Algebra.

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## EdTech 537: Creating a Theme and Links

Week 4: – Blogging in the Classroom. This week we are  exploring different types of blog entries. We are coming up with a thematically way to link all of these entries, so we are not just posting on random things.

The readings this week were interesting but after reading the article by Stephanie Sandifer,  7 Days – Day 1: Blog Layout & Design for Readability & Usability, I knew I needed to start by answering the following questions:

• What is the purpose of my blog?
• What do I want readers/learners to get when they visit my site?
• Consider your answer to the last question and then ask yourself:  Does my blog layout and design emphasize what it is that I want my readers/learners to get when they visit?  Is that information included in a visually prominent way when someone first visits my blog, or is it hidden in a list of links or on some other page?

I am a high school and college level mathematics tutor so it makes sense for me to create a “theme” for my blogging around math!  My favorite topic in mathematics is Algebra!  I love solving equations, graphing, and factoring.  The purpose of my blog “section” (in this case since my WordPress is dedicated to the MET program my blog will refer to the EdTech 537 and reflection section) is to provide a valuable resource to my students for all things Algebra!

I want my readers or my students to be able to easily find extra help or inspiration while working through their online courses in Algebra.  I hope to focus this theme throughout the remainder of this course and use it to eventually build an entire blog dedicated to my love of Algebra.

The last question posed above is difficult to answer.  Ideally my entire blog would be dedicated to one topic; however, reality will not allow this.  I have a family, a job (even in the summer), and I am taking two classes this summer.  I will try to make the appropriate postings easy to find by tagging “algebra” and “math” but this will only help … not solve the problem.  I believe that by dedicating a section with a single focus will serve the purpose I seek.

Go Algebra!