<!--{{{-->
<link rel='alternate' type='application/rss+xml' title='RSS' href='index.xml'/>
<!--}}}-->
Background: #fff
Foreground: #000
PrimaryPale: #8cf
PrimaryLight: #18f
PrimaryMid: #04b
PrimaryDark: #014
SecondaryPale: #ffc
SecondaryLight: #fe8
SecondaryMid: #db4
SecondaryDark: #841
TertiaryPale: #eee
TertiaryLight: #ccc
TertiaryMid: #999
TertiaryDark: #666
Error: #f88
/*{{{*/
body {background:[[ColorPalette::Background]]; color:[[ColorPalette::Foreground]];}

a {color:[[ColorPalette::PrimaryMid]];}
a:hover {background-color:[[ColorPalette::PrimaryMid]]; color:[[ColorPalette::Background]];}
a img {border:0;}

h1,h2,h3,h4,h5,h6 {color:[[ColorPalette::SecondaryDark]]; background:transparent;}
h1 {border-bottom:2px solid [[ColorPalette::TertiaryLight]];}
h2,h3 {border-bottom:1px solid [[ColorPalette::TertiaryLight]];}

.button {color:[[ColorPalette::PrimaryDark]]; border:1px solid [[ColorPalette::Background]];}
.button:hover {color:[[ColorPalette::PrimaryDark]]; background:[[ColorPalette::SecondaryLight]]; border-color:[[ColorPalette::SecondaryMid]];}
.button:active {color:[[ColorPalette::Background]]; background:[[ColorPalette::SecondaryMid]]; border:1px solid [[ColorPalette::SecondaryDark]];}

.header {background:[[ColorPalette::PrimaryMid]];}
.headerShadow {color:[[ColorPalette::Foreground]];}
.headerShadow a {font-weight:normal; color:[[ColorPalette::Foreground]];}
.headerForeground {color:[[ColorPalette::Background]];}
.headerForeground a {font-weight:normal; color:[[ColorPalette::PrimaryPale]];}

.tabSelected{color:[[ColorPalette::PrimaryDark]];
	background:[[ColorPalette::TertiaryPale]];
	border-left:1px solid [[ColorPalette::TertiaryLight]];
	border-top:1px solid [[ColorPalette::TertiaryLight]];
	border-right:1px solid [[ColorPalette::TertiaryLight]];
}
.tabUnselected {color:[[ColorPalette::Background]]; background:[[ColorPalette::TertiaryMid]];}
.tabContents {color:[[ColorPalette::PrimaryDark]]; background:[[ColorPalette::TertiaryPale]]; border:1px solid [[ColorPalette::TertiaryLight]];}
.tabContents .button {border:0;}

#sidebar {}
#sidebarOptions input {border:1px solid [[ColorPalette::PrimaryMid]];}
#sidebarOptions .sliderPanel {background:[[ColorPalette::PrimaryPale]];}
#sidebarOptions .sliderPanel a {border:none;color:[[ColorPalette::PrimaryMid]];}
#sidebarOptions .sliderPanel a:hover {color:[[ColorPalette::Background]]; background:[[ColorPalette::PrimaryMid]];}
#sidebarOptions .sliderPanel a:active {color:[[ColorPalette::PrimaryMid]]; background:[[ColorPalette::Background]];}

.wizard {background:[[ColorPalette::PrimaryPale]]; border:1px solid [[ColorPalette::PrimaryMid]];}
.wizard h1 {color:[[ColorPalette::PrimaryDark]]; border:none;}
.wizard h2 {color:[[ColorPalette::Foreground]]; border:none;}
.wizardStep {background:[[ColorPalette::Background]]; color:[[ColorPalette::Foreground]];
	border:1px solid [[ColorPalette::PrimaryMid]];}
.wizardStep.wizardStepDone {background:[[ColorPalette::TertiaryLight]];}
.wizardFooter {background:[[ColorPalette::PrimaryPale]];}
.wizardFooter .status {background:[[ColorPalette::PrimaryDark]]; color:[[ColorPalette::Background]];}
.wizard .button {color:[[ColorPalette::Foreground]]; background:[[ColorPalette::SecondaryLight]]; border: 1px solid;
	border-color:[[ColorPalette::SecondaryPale]] [[ColorPalette::SecondaryDark]] [[ColorPalette::SecondaryDark]] [[ColorPalette::SecondaryPale]];}
.wizard .button:hover {color:[[ColorPalette::Foreground]]; background:[[ColorPalette::Background]];}
.wizard .button:active {color:[[ColorPalette::Background]]; background:[[ColorPalette::Foreground]]; border: 1px solid;
	border-color:[[ColorPalette::PrimaryDark]] [[ColorPalette::PrimaryPale]] [[ColorPalette::PrimaryPale]] [[ColorPalette::PrimaryDark]];}

#messageArea {border:1px solid [[ColorPalette::SecondaryMid]]; background:[[ColorPalette::SecondaryLight]]; color:[[ColorPalette::Foreground]];}
#messageArea .button {color:[[ColorPalette::PrimaryMid]]; background:[[ColorPalette::SecondaryPale]]; border:none;}

.popupTiddler {background:[[ColorPalette::TertiaryPale]]; border:2px solid [[ColorPalette::TertiaryMid]];}

.popup {background:[[ColorPalette::TertiaryPale]]; color:[[ColorPalette::TertiaryDark]]; border-left:1px solid [[ColorPalette::TertiaryMid]]; border-top:1px solid [[ColorPalette::TertiaryMid]]; border-right:2px solid [[ColorPalette::TertiaryDark]]; border-bottom:2px solid [[ColorPalette::TertiaryDark]];}
.popup hr {color:[[ColorPalette::PrimaryDark]]; background:[[ColorPalette::PrimaryDark]]; border-bottom:1px;}
.popup li.disabled {color:[[ColorPalette::TertiaryMid]];}
.popup li a, .popup li a:visited {color:[[ColorPalette::Foreground]]; border: none;}
.popup li a:hover {background:[[ColorPalette::SecondaryLight]]; color:[[ColorPalette::Foreground]]; border: none;}
.popup li a:active {background:[[ColorPalette::SecondaryPale]]; color:[[ColorPalette::Foreground]]; border: none;}
.popupHighlight {background:[[ColorPalette::Background]]; color:[[ColorPalette::Foreground]];}
.listBreak div {border-bottom:1px solid [[ColorPalette::TertiaryDark]];}

.tiddler .defaultCommand {font-weight:bold;}

.shadow .title {color:[[ColorPalette::TertiaryDark]];}

.title {color:[[ColorPalette::SecondaryDark]];}
.subtitle {color:[[ColorPalette::TertiaryDark]];}

.toolbar {color:[[ColorPalette::PrimaryMid]];}
.toolbar a {color:[[ColorPalette::TertiaryLight]];}
.selected .toolbar a {color:[[ColorPalette::TertiaryMid]];}
.selected .toolbar a:hover {color:[[ColorPalette::Foreground]];}

.tagging, .tagged {border:1px solid [[ColorPalette::TertiaryPale]]; background-color:[[ColorPalette::TertiaryPale]];}
.selected .tagging, .selected .tagged {background-color:[[ColorPalette::TertiaryLight]]; border:1px solid [[ColorPalette::TertiaryMid]];}
.tagging .listTitle, .tagged .listTitle {color:[[ColorPalette::PrimaryDark]];}
.tagging .button, .tagged .button {border:none;}

.footer {color:[[ColorPalette::TertiaryLight]];}
.selected .footer {color:[[ColorPalette::TertiaryMid]];}

.sparkline {background:[[ColorPalette::PrimaryPale]]; border:0;}
.sparktick {background:[[ColorPalette::PrimaryDark]];}

.error, .errorButton {color:[[ColorPalette::Foreground]]; background:[[ColorPalette::Error]];}
.warning {color:[[ColorPalette::Foreground]]; background:[[ColorPalette::SecondaryPale]];}
.lowlight {background:[[ColorPalette::TertiaryLight]];}

.zoomer {background:none; color:[[ColorPalette::TertiaryMid]]; border:3px solid [[ColorPalette::TertiaryMid]];}

.imageLink, #displayArea .imageLink {background:transparent;}

.annotation {background:[[ColorPalette::SecondaryLight]]; color:[[ColorPalette::Foreground]]; border:2px solid [[ColorPalette::SecondaryMid]];}

.viewer .listTitle {list-style-type:none; margin-left:-2em;}
.viewer .button {border:1px solid [[ColorPalette::SecondaryMid]];}
.viewer blockquote {border-left:3px solid [[ColorPalette::TertiaryDark]];}

.viewer table, table.twtable {border:2px solid [[ColorPalette::TertiaryDark]];}
.viewer th, .viewer thead td, .twtable th, .twtable thead td {background:[[ColorPalette::SecondaryMid]]; border:1px solid [[ColorPalette::TertiaryDark]]; color:[[ColorPalette::Background]];}
.viewer td, .viewer tr, .twtable td, .twtable tr {border:1px solid [[ColorPalette::TertiaryDark]];}

.viewer pre {border:1px solid [[ColorPalette::SecondaryLight]]; background:[[ColorPalette::SecondaryPale]];}
.viewer code {color:[[ColorPalette::SecondaryDark]];}
.viewer hr {border:0; border-top:dashed 1px [[ColorPalette::TertiaryDark]]; color:[[ColorPalette::TertiaryDark]];}

.highlight, .marked {background:[[ColorPalette::SecondaryLight]];}

.editor input {border:1px solid [[ColorPalette::PrimaryMid]];}
.editor textarea {border:1px solid [[ColorPalette::PrimaryMid]]; width:100%;}
.editorFooter {color:[[ColorPalette::TertiaryMid]];}

#backstageArea {background:[[ColorPalette::Foreground]]; color:[[ColorPalette::TertiaryMid]];}
#backstageArea a {background:[[ColorPalette::Foreground]]; color:[[ColorPalette::Background]]; border:none;}
#backstageArea a:hover {background:[[ColorPalette::SecondaryLight]]; color:[[ColorPalette::Foreground]]; }
#backstageArea a.backstageSelTab {background:[[ColorPalette::Background]]; color:[[ColorPalette::Foreground]];}
#backstageButton a {background:none; color:[[ColorPalette::Background]]; border:none;}
#backstageButton a:hover {background:[[ColorPalette::Foreground]]; color:[[ColorPalette::Background]]; border:none;}
#backstagePanel {background:[[ColorPalette::Background]]; border-color: [[ColorPalette::Background]] [[ColorPalette::TertiaryDark]] [[ColorPalette::TertiaryDark]] [[ColorPalette::TertiaryDark]];}
.backstagePanelFooter .button {border:none; color:[[ColorPalette::Background]];}
.backstagePanelFooter .button:hover {color:[[ColorPalette::Foreground]];}
#backstageCloak {background:[[ColorPalette::Foreground]]; opacity:0.6; filter:'alpha(opacity:60)';}
/*}}}*/
/*{{{*/
* html .tiddler {height:1%;}

body {font-size:.75em; font-family:arial,helvetica; margin:0; padding:0;}

h1,h2,h3,h4,h5,h6 {font-weight:bold; text-decoration:none;}
h1,h2,h3 {padding-bottom:1px; margin-top:1.2em;margin-bottom:0.3em;}
h4,h5,h6 {margin-top:1em;}
h1 {font-size:1.35em;}
h2 {font-size:1.25em;}
h3 {font-size:1.1em;}
h4 {font-size:1em;}
h5 {font-size:.9em;}

hr {height:1px;}

a {text-decoration:none;}

dt {font-weight:bold;}

ol {list-style-type:decimal;}
ol ol {list-style-type:lower-alpha;}
ol ol ol {list-style-type:lower-roman;}
ol ol ol ol {list-style-type:decimal;}
ol ol ol ol ol {list-style-type:lower-alpha;}
ol ol ol ol ol ol {list-style-type:lower-roman;}
ol ol ol ol ol ol ol {list-style-type:decimal;}

.txtOptionInput {width:11em;}

#contentWrapper .chkOptionInput {border:0;}

.externalLink {text-decoration:underline;}

.indent {margin-left:3em;}
.outdent {margin-left:3em; text-indent:-3em;}
code.escaped {white-space:nowrap;}

.tiddlyLinkExisting {font-weight:bold;}
.tiddlyLinkNonExisting {font-style:italic;}

/* the 'a' is required for IE, otherwise it renders the whole tiddler in bold */
a.tiddlyLinkNonExisting.shadow {font-weight:bold;}

#mainMenu .tiddlyLinkExisting,
	#mainMenu .tiddlyLinkNonExisting,
	#sidebarTabs .tiddlyLinkNonExisting {font-weight:normal; font-style:normal;}
#sidebarTabs .tiddlyLinkExisting {font-weight:bold; font-style:normal;}

.header {position:relative;}
.header a:hover {background:transparent;}
.headerShadow {position:relative; padding:4.5em 0em 1em 1em; left:-1px; top:-1px;}
.headerForeground {position:absolute; padding:4.5em 0em 1em 1em; left:0px; top:0px;}

.siteTitle {font-size:3em;}
.siteSubtitle {font-size:1.2em;}

#mainMenu {position:absolute; left:0; width:10em; text-align:right; line-height:1.6em; padding:1.5em 0.5em 0.5em 0.5em; font-size:1.1em;}

#sidebar {position:absolute; right:3px; width:16em; font-size:.9em;}
#sidebarOptions {padding-top:0.3em;}
#sidebarOptions a {margin:0em 0.2em; padding:0.2em 0.3em; display:block;}
#sidebarOptions input {margin:0.4em 0.5em;}
#sidebarOptions .sliderPanel {margin-left:1em; padding:0.5em; font-size:.85em;}
#sidebarOptions .sliderPanel a {font-weight:bold; display:inline; padding:0;}
#sidebarOptions .sliderPanel input {margin:0 0 .3em 0;}
#sidebarTabs .tabContents {width:15em; overflow:hidden;}

.wizard {padding:0.1em 1em 0em 2em;}
.wizard h1 {font-size:2em; font-weight:bold; background:none; padding:0em 0em 0em 0em; margin:0.4em 0em 0.2em 0em;}
.wizard h2 {font-size:1.2em; font-weight:bold; background:none; padding:0em 0em 0em 0em; margin:0.4em 0em 0.2em 0em;}
.wizardStep {padding:1em 1em 1em 1em;}
.wizard .button {margin:0.5em 0em 0em 0em; font-size:1.2em;}
.wizardFooter {padding:0.8em 0.4em 0.8em 0em;}
.wizardFooter .status {padding:0em 0.4em 0em 0.4em; margin-left:1em;}
.wizard .button {padding:0.1em 0.2em 0.1em 0.2em;}

#messageArea {position:fixed; top:2em; right:0em; margin:0.5em; padding:0.5em; z-index:2000; _position:absolute;}
.messageToolbar {display:block; text-align:right; padding:0.2em 0.2em 0.2em 0.2em;}
#messageArea a {text-decoration:underline;}

.tiddlerPopupButton {padding:0.2em 0.2em 0.2em 0.2em;}
.popupTiddler {position: absolute; z-index:300; padding:1em 1em 1em 1em; margin:0;}

.popup {position:absolute; z-index:300; font-size:.9em; padding:0; list-style:none; margin:0;}
.popup .popupMessage {padding:0.4em;}
.popup hr {display:block; height:1px; width:auto; padding:0; margin:0.2em 0em;}
.popup li.disabled {padding:0.4em;}
.popup li a {display:block; padding:0.4em; font-weight:normal; cursor:pointer;}
.listBreak {font-size:1px; line-height:1px;}
.listBreak div {margin:2px 0;}

.tabset {padding:1em 0em 0em 0.5em;}
.tab {margin:0em 0em 0em 0.25em; padding:2px;}
.tabContents {padding:0.5em;}
.tabContents ul, .tabContents ol {margin:0; padding:0;}
.txtMainTab .tabContents li {list-style:none;}
.tabContents li.listLink { margin-left:.75em;}

#contentWrapper {display:block;}
#splashScreen {display:none;}

#displayArea {margin:1em 17em 0em 14em;}

.toolbar {text-align:right; font-size:.9em;}

.tiddler {padding:1em 1em 0em 1em;}

.missing .viewer,.missing .title {font-style:italic;}

.title {font-size:1.6em; font-weight:bold;}

.missing .subtitle {display:none;}
.subtitle {font-size:1.1em;}

.tiddler .button {padding:0.2em 0.4em;}

.tagging {margin:0.5em 0.5em 0.5em 0; float:left; display:none;}
.isTag .tagging {display:block;}
.tagged {margin:0.5em; float:right;}
.tagging, .tagged {font-size:0.9em; padding:0.25em;}
.tagging ul, .tagged ul {list-style:none; margin:0.25em; padding:0;}
.tagClear {clear:both;}

.footer {font-size:.9em;}
.footer li {display:inline;}

.annotation {padding:0.5em; margin:0.5em;}

* html .viewer pre {width:99%; padding:0 0 1em 0;}
.viewer {line-height:1.4em; padding-top:0.5em;}
.viewer .button {margin:0em 0.25em; padding:0em 0.25em;}
.viewer blockquote {line-height:1.5em; padding-left:0.8em;margin-left:2.5em;}
.viewer ul, .viewer ol {margin-left:0.5em; padding-left:1.5em;}

.viewer table, table.twtable {border-collapse:collapse; margin:0.8em 1.0em;}
.viewer th, .viewer td, .viewer tr,.viewer caption,.twtable th, .twtable td, .twtable tr,.twtable caption {padding:3px;}
table.listView {font-size:0.85em; margin:0.8em 1.0em;}
table.listView th, table.listView td, table.listView tr {padding:0px 3px 0px 3px;}

.viewer pre {padding:0.5em; margin-left:0.5em; font-size:1.2em; line-height:1.4em; overflow:auto;}
.viewer code {font-size:1.2em; line-height:1.4em;}

.editor {font-size:1.1em;}
.editor input, .editor textarea {display:block; width:100%; font:inherit;}
.editorFooter {padding:0.25em 0em; font-size:.9em;}
.editorFooter .button {padding-top:0px; padding-bottom:0px;}

.fieldsetFix {border:0; padding:0; margin:1px 0px 1px 0px;}

.sparkline {line-height:1em;}
.sparktick {outline:0;}

.zoomer {font-size:1.1em; position:absolute; overflow:hidden;}
.zoomer div {padding:1em;}

* html #backstage {width:99%;}
* html #backstageArea {width:99%;}
#backstageArea {display:none; position:relative; overflow: hidden; z-index:150; padding:0.3em 0.5em 0.3em 0.5em;}
#backstageToolbar {position:relative;}
#backstageArea a {font-weight:bold; margin-left:0.5em; padding:0.3em 0.5em 0.3em 0.5em;}
#backstageButton {display:none; position:absolute; z-index:175; top:0em; right:0em;}
#backstageButton a {padding:0.1em 0.4em 0.1em 0.4em; margin:0.1em 0.1em 0.1em 0.1em;}
#backstage {position:relative; width:100%; z-index:50;}
#backstagePanel {display:none; z-index:100; position:absolute; margin:0em 3em 0em 3em; padding:1em 1em 1em 1em;}
.backstagePanelFooter {padding-top:0.2em; float:right;}
.backstagePanelFooter a {padding:0.2em 0.4em 0.2em 0.4em;}
#backstageCloak {display:none; z-index:20; position:absolute; width:100%; height:100px;}

.whenBackstage {display:none;}
.backstageVisible .whenBackstage {display:block;}
/*}}}*/
/***
StyleSheet for use when a translation requires any css style changes.
This StyleSheet can be used directly by languages such as Chinese, Japanese and Korean which need larger font sizes.
***/
/*{{{*/
body {font-size:0.8em;}
#sidebarOptions {font-size:1.05em;}
#sidebarOptions a {font-style:normal;}
#sidebarOptions .sliderPanel {font-size:0.95em;}
.subtitle {font-size:0.8em;}
.viewer table.listView {font-size:0.95em;}
/*}}}*/
/*{{{*/
@media print {
#mainMenu, #sidebar, #messageArea, .toolbar, #backstageButton, #backstageArea {display: none ! important;}
#displayArea {margin: 1em 1em 0em 1em;}
/* Fixes a feature in Firefox 1.5.0.2 where print preview displays the noscript content */
noscript {display:none;}
}
/*}}}*/
<!--{{{-->
<div class='header' macro='gradient vert [[ColorPalette::PrimaryLight]] [[ColorPalette::PrimaryMid]]'>
<div class='headerShadow'>
<span class='siteTitle' refresh='content' tiddler='SiteTitle'></span>&nbsp;
<span class='siteSubtitle' refresh='content' tiddler='SiteSubtitle'></span>
</div>
<div class='headerForeground'>
<span class='siteTitle' refresh='content' tiddler='SiteTitle'></span>&nbsp;
<span class='siteSubtitle' refresh='content' tiddler='SiteSubtitle'></span>
</div>
</div>
<div id='mainMenu' refresh='content' tiddler='MainMenu'></div>
<div id='sidebar'>
<div id='sidebarOptions' refresh='content' tiddler='SideBarOptions'></div>
<div id='sidebarTabs' refresh='content' force='true' tiddler='SideBarTabs'></div>
</div>
<div id='displayArea'>
<div id='messageArea'></div>
<div id='tiddlerDisplay'></div>
</div>
<!--}}}-->
<!--{{{-->
<div class='toolbar' macro='toolbar closeTiddler closeOthers +editTiddler > fields syncing permalink references jump'></div>
<div class='title' macro='view title'></div>
<div class='subtitle'><span macro='view modifier link'></span>, <span macro='view modified date'></span> (<span macro='message views.wikified.createdPrompt'></span> <span macro='view created date'></span>)</div>
<div class='tagging' macro='tagging'></div>
<div class='tagged' macro='tags'></div>
<div class='viewer' macro='view text wikified'></div>
<div class='tagClear'></div>
<!--}}}-->
<!--{{{-->
<div class='toolbar' macro='toolbar +saveTiddler -cancelTiddler deleteTiddler'></div>
<div class='title' macro='view title'></div>
<div class='editor' macro='edit title'></div>
<div macro='annotations'></div>
<div class='editor' macro='edit text'></div>
<div class='editor' macro='edit tags'></div><div class='editorFooter'><span macro='message views.editor.tagPrompt'></span><span macro='tagChooser'></span></div>
<!--}}}-->
To get started with this blank TiddlyWiki, you'll need to modify the following tiddlers:
* SiteTitle & SiteSubtitle: The title and subtitle of the site, as shown above (after saving, they will also appear in the browser title bar)
* MainMenu: The menu (usually on the left)
* DefaultTiddlers: Contains the names of the tiddlers that you want to appear when the TiddlyWiki is opened
You'll also need to enter your username for signing your edits: <<option txtUserName>>
These InterfaceOptions for customising TiddlyWiki are saved in your browser

Your username for signing your edits. Write it as a WikiWord (eg JoeBloggs)

<<option txtUserName>>
<<option chkSaveBackups>> SaveBackups
<<option chkAutoSave>> AutoSave
<<option chkRegExpSearch>> RegExpSearch
<<option chkCaseSensitiveSearch>> CaseSensitiveSearch
<<option chkAnimate>> EnableAnimations

----
Also see AdvancedOptions
<<importTiddlers>>
A Geometry course has many objectives:

*Learn the language of mathematics
*Learn parts of mathematics history
*Further develop logic, reasoning, justifying answers and writing proofs
*Learn about shapes and their properties

The language of mathematics is extremely precise. In order to avoid confusion, mathematicians use [[vocabulary|MathVocabulary]] with exact definitions. Mathematicians have a specific way of talking about their subject that incorporates their history and culture while minimizing misunderstanding. The culture of mathematics values logic and proofs. Simply because a formula or technique has consistently worked, does not guarantee that it will work the next time.

When I teach Geometry I emphasize: Parallel and Perpendicular Lines, Triangles, Proportions and Similarity, Right Triangle Trigonometry, Polygons, and Surface Areas and Volumes.
The most recent addition to the website. I will reflect on teaching on Algebra 1, [[Algebra Tiles]], and continue to add [[GeoGebra]] applets.

The two applets I have uploaded so far both deal with slope.
The first applet explore slope by looking at the change in y and the change in x graphically: [[Exploring Slope|Algebra1/Slope.html]].
The second applet allows students to practice [[finding slope|Algebra1/SlopePractice.html]] by hiding the answer with a check box while rearranging points and the line.
All GeoGebra Applets will open in a new tab or window.

I primarily use [[GeoGebra]] in [[Geometry]] while using Texas Instruments graphing calculators for Algebra II. However, there are times it is helpful to watch a graph change when you change different coefficients. Rather than retyping a quadratic equation and looking at different values of "a," with GeoGebra a student can slide the value of "a" and watch the graph change.

Quadratic equations in standard form with a focus on the axis of symmetry, the vertex and roots:
[[Standard Form|Algebra2/Quadratics_Web.html]]
Quadratic equations in vertex form with a focus on how the graph changes with changes in "a", "h" and "k":
[[Vertex Form|Algebra2/VertexForm_Web.html]]
Exponential equation in standard form, with the graph on its logarithmic inverse and the line //y// = //x//:
[[Exponential and Logarithm|Algebra2/ExponentialLogSlidersInverse.html]]
[img[email|email.jpg]] Yes, this is the dreaded image to show an email address. However, given the bots that troll for email addresses and my desire to play with server side scripts is limited, just type either email address in your favorite email program.
/***
|''Name:''|CryptoFunctionsPlugin|
|''Description:''|Support for cryptographic functions|
***/
//{{{
if(!version.extensions.CryptoFunctionsPlugin) {
version.extensions.CryptoFunctionsPlugin = {installed:true};

//--
//-- Crypto functions and associated conversion routines
//--

// Crypto "namespace"
function Crypto() {}

// Convert a string to an array of big-endian 32-bit words
Crypto.strToBe32s = function(str)
{
	var be = Array();
	var len = Math.floor(str.length/4);
	var i, j;
	for(i=0, j=0; i<len; i++, j+=4) {
		be[i] = ((str.charCodeAt(j)&0xff) << 24)|((str.charCodeAt(j+1)&0xff) << 16)|((str.charCodeAt(j+2)&0xff) << 8)|(str.charCodeAt(j+3)&0xff);
	}
	while (j<str.length) {
		be[j>>2] |= (str.charCodeAt(j)&0xff)<<(24-(j*8)%32);
		j++;
	}
	return be;
};

// Convert an array of big-endian 32-bit words to a string
Crypto.be32sToStr = function(be)
{
	var str = "";
	for(var i=0;i<be.length*32;i+=8)
		str += String.fromCharCode((be[i>>5]>>>(24-i%32)) & 0xff);
	return str;
};

// Convert an array of big-endian 32-bit words to a hex string
Crypto.be32sToHex = function(be)
{
	var hex = "0123456789ABCDEF";
	var str = "";
	for(var i=0;i<be.length*4;i++)
		str += hex.charAt((be[i>>2]>>((3-i%4)*8+4))&0xF) + hex.charAt((be[i>>2]>>((3-i%4)*8))&0xF);
	return str;
};

// Return, in hex, the SHA-1 hash of a string
Crypto.hexSha1Str = function(str)
{
	return Crypto.be32sToHex(Crypto.sha1Str(str));
};

// Return the SHA-1 hash of a string
Crypto.sha1Str = function(str)
{
	return Crypto.sha1(Crypto.strToBe32s(str),str.length);
};

// Calculate the SHA-1 hash of an array of blen bytes of big-endian 32-bit words
Crypto.sha1 = function(x,blen)
{
	// Add 32-bit integers, wrapping at 32 bits
	add32 = function(a,b)
	{
		var lsw = (a&0xFFFF)+(b&0xFFFF);
		var msw = (a>>16)+(b>>16)+(lsw>>16);
		return (msw<<16)|(lsw&0xFFFF);
	};
	// Add five 32-bit integers, wrapping at 32 bits
	add32x5 = function(a,b,c,d,e)
	{
		var lsw = (a&0xFFFF)+(b&0xFFFF)+(c&0xFFFF)+(d&0xFFFF)+(e&0xFFFF);
		var msw = (a>>16)+(b>>16)+(c>>16)+(d>>16)+(e>>16)+(lsw>>16);
		return (msw<<16)|(lsw&0xFFFF);
	};
	// Bitwise rotate left a 32-bit integer by 1 bit
	rol32 = function(n)
	{
		return (n>>>31)|(n<<1);
	};

	var len = blen*8;
	// Append padding so length in bits is 448 mod 512
	x[len>>5] |= 0x80 << (24-len%32);
	// Append length
	x[((len+64>>9)<<4)+15] = len;
	var w = Array(80);

	var k1 = 0x5A827999;
	var k2 = 0x6ED9EBA1;
	var k3 = 0x8F1BBCDC;
	var k4 = 0xCA62C1D6;

	var h0 = 0x67452301;
	var h1 = 0xEFCDAB89;
	var h2 = 0x98BADCFE;
	var h3 = 0x10325476;
	var h4 = 0xC3D2E1F0;

	for(var i=0;i<x.length;i+=16) {
		var j,t;
		var a = h0;
		var b = h1;
		var c = h2;
		var d = h3;
		var e = h4;
		for(j = 0;j<16;j++) {
			w[j] = x[i+j];
			t = add32x5(e,(a>>>27)|(a<<5),d^(b&(c^d)),w[j],k1);
			e=d; d=c; c=(b>>>2)|(b<<30); b=a; a = t;
		}
		for(j=16;j<20;j++) {
			w[j] = rol32(w[j-3]^w[j-8]^w[j-14]^w[j-16]);
			t = add32x5(e,(a>>>27)|(a<<5),d^(b&(c^d)),w[j],k1);
			e=d; d=c; c=(b>>>2)|(b<<30); b=a; a = t;
		}
		for(j=20;j<40;j++) {
			w[j] = rol32(w[j-3]^w[j-8]^w[j-14]^w[j-16]);
			t = add32x5(e,(a>>>27)|(a<<5),b^c^d,w[j],k2);
			e=d; d=c; c=(b>>>2)|(b<<30); b=a; a = t;
		}
		for(j=40;j<60;j++) {
			w[j] = rol32(w[j-3]^w[j-8]^w[j-14]^w[j-16]);
			t = add32x5(e,(a>>>27)|(a<<5),(b&c)|(d&(b|c)),w[j],k3);
			e=d; d=c; c=(b>>>2)|(b<<30); b=a; a = t;
		}
		for(j=60;j<80;j++) {
			w[j] = rol32(w[j-3]^w[j-8]^w[j-14]^w[j-16]);
			t = add32x5(e,(a>>>27)|(a<<5),b^c^d,w[j],k4);
			e=d; d=c; c=(b>>>2)|(b<<30); b=a; a = t;
		}

		h0 = add32(h0,a);
		h1 = add32(h1,b);
		h2 = add32(h2,c);
		h3 = add32(h3,d);
		h4 = add32(h4,e);
	}
	return Array(h0,h1,h2,h3,h4);
};


}
//}}}
EricFitton
/***
|''Name:''|DeprecatedFunctionsPlugin|
|''Description:''|Support for deprecated functions removed from core|
***/
//{{{
if(!version.extensions.DeprecatedFunctionsPlugin) {
version.extensions.DeprecatedFunctionsPlugin = {installed:true};

//--
//-- Deprecated code
//--

// @Deprecated: Use createElementAndWikify and this.termRegExp instead
config.formatterHelpers.charFormatHelper = function(w)
{
	w.subWikify(createTiddlyElement(w.output,this.element),this.terminator);
};

// @Deprecated: Use enclosedTextHelper and this.lookaheadRegExp instead
config.formatterHelpers.monospacedByLineHelper = function(w)
{
	var lookaheadRegExp = new RegExp(this.lookahead,"mg");
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	var lookaheadMatch = lookaheadRegExp.exec(w.source);
	if(lookaheadMatch && lookaheadMatch.index == w.matchStart) {
		var text = lookaheadMatch[1];
		if(config.browser.isIE)
			text = text.replace(/\n/g,"\r");
		createTiddlyElement(w.output,"pre",null,null,text);
		w.nextMatch = lookaheadRegExp.lastIndex;
	}
};

// @Deprecated: Use <br> or <br /> instead of <<br>>
config.macros.br = {};
config.macros.br.handler = function(place)
{
	createTiddlyElement(place,"br");
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// Find an entry in an array. Returns the array index or null
// @Deprecated: Use indexOf instead
Array.prototype.find = function(item)
{
	var i = this.indexOf(item);
	return i == -1 ? null : i;
};

// Load a tiddler from an HTML DIV. The caller should make sure to later call Tiddler.changed()
// @Deprecated: Use store.getLoader().internalizeTiddler instead
Tiddler.prototype.loadFromDiv = function(divRef,title)
{
	return store.getLoader().internalizeTiddler(store,this,title,divRef);
};

// Format the text for storage in an HTML DIV
// @Deprecated Use store.getSaver().externalizeTiddler instead.
Tiddler.prototype.saveToDiv = function()
{
	return store.getSaver().externalizeTiddler(store,this);
};

// @Deprecated: Use store.allTiddlersAsHtml() instead
function allTiddlersAsHtml()
{
	return store.allTiddlersAsHtml();
}

// @Deprecated: Use refreshPageTemplate instead
function applyPageTemplate(title)
{
	refreshPageTemplate(title);
}

// @Deprecated: Use story.displayTiddlers instead
function displayTiddlers(srcElement,titles,template,unused1,unused2,animate,unused3)
{
	story.displayTiddlers(srcElement,titles,template,animate);
}

// @Deprecated: Use story.displayTiddler instead
function displayTiddler(srcElement,title,template,unused1,unused2,animate,unused3)
{
	story.displayTiddler(srcElement,title,template,animate);
}

// @Deprecated: Use functions on right hand side directly instead
var createTiddlerPopup = Popup.create;
var scrollToTiddlerPopup = Popup.show;
var hideTiddlerPopup = Popup.remove;

// @Deprecated: Use right hand side directly instead
var regexpBackSlashEn = new RegExp("\\\\n","mg");
var regexpBackSlash = new RegExp("\\\\","mg");
var regexpBackSlashEss = new RegExp("\\\\s","mg");
var regexpNewLine = new RegExp("\n","mg");
var regexpCarriageReturn = new RegExp("\r","mg");

}
//}}}
This website is my primary presence on the internet. I launched it on March 9th, 2008 and hope to make it much more complete in the future. I am trying to better myself as a teacher in a number of ways, including word walls, smart boards, and graphing calculators.  I am impressed with what can be done with dynamic geometry software. This website, currently, is my conduit for sharing applets I have created with [[GeoGebra]], a free dynamic geometry application.

I am a fifth year teacher. The last two years I have been at [[Bellevue Junior/Senior High| http://www.bellevue-schools.com]]. Previously, I spent two years at [[Benton Harbor High School| http://www.bhas.org]]. I did a full year internship at [[Holt High School|http://www.hpsk12.net/]] while attending [[Michigan State University|http://www.msu.edu]] for my teaching certificate. Before attending MSU I attended [[Alma College|http://www.alma.edu]] where I earned my bachelors of science in mathematics and computer science. After Alma I worked in both the actuarial field and computer programming before I realized that my true calling is teaching.
!!![[Exploring Computers|ExploringComputers]]
We used the [[GNU Image Manipulation Program|http://www.gimp.org]] to alter these three images, along with a few others. The first picture, students had to copy out my brother and put him into another picture. The second image, students were to play with different filters and effects (particularly lighting). In the last image, they were to remove the railing.

[img[ScottDeck|ScottDeck.jpg]]
[img[MrFittonAngeAmericanGothic|MrFittonAngeAmericanGothic.jpg]]
[img[FamilyXMas|FamilyXMas.jpg]]
!!![[About Me|EricFitton]]
!!![[Contact]]
!!![[Teaching Philosophy]]
!!![[Resume|Resume.pdf]]
~GeoGebra is a free dynamic geometry software application that combines Algebra and Geometry. It can be found at http://www.geogebra.org. It allows the user to enter functions, plot points, create circles, etc. These can allow students to explore different mathematical ideas kinetically or can allow a teacher to present information visually.

One of the easiest ways of learning ~GeoGebra is by watching the videos at http://math247.pbwiki.com/Learn+and+Use+GeoGebra. 

The applets I have created can be found under their respective course titles [[here|MathPanel]]. Many other ~GeoGebra applets can be found through your favorite search engine.
Geometry is frequently thought to be a course about shapes. I have additional goals when teaching Geometry. Here are some of my thoughts [[about Geometry|AboutGeometry]].

In addition to using dynamic geometry in order to help my students gain deep understanding of mathematics, I worry about my students learning the [[vocabulary|MathVocabulary]] of Geometry which is necessary to have success in the class. [[Math vocabulary|MathVocabulary]] is a focus in this class.

I really like and value the ability to change drawings while students watch. Instead of giving a static example of vertical angles, I can change the lines and we can observe how the angles change but remain congruent. I am primarily using GeoGebra currently as a demonstration tool; however, I would like to incorporate more inquiry questions and utilize a computer lab so students get hands on experience.

Here are applets more or less ready for the web:
[[Vertical Angles and Linear Pairs|Geometry/LinearPairVerticalAngles.html]]
[[Midpoint Formula|Geometry/MidpointFormula.html]]
[[Parallel Lines|Geometry/Parallel_Lines.html]]
[[Triangle Angle Sum Theorem|Geometry/TriangleAngleSumThm.html]]
[[Triangle Exterior Angle Theorem|Geometry/TriangleExteriorAngleThm.html]]
[[Triangle Inequality|Geometry/TriangleInequalitySliders.html]]

Applets emphasizing vocabulary:
[[Altitudes and Orthocenter|Geometry/Altitude_Orthocenter.html]]
[[Median and Centroid|Geometry/Median_Centroid.html]]
[[Perpendicular Bisector and Circumcenter|Geometry/PerpendicularBisector_Circumcenter.html]]
[[Angle Bisector and Incenter|Geometry/AngleBisector_Incenter.html]]
To get started with this blank TiddlyWiki, you'll need to modify the following tiddlers:
* SiteTitle & SiteSubtitle: The title and subtitle of the site, as shown above (after saving, they will also appear in the browser title bar)
* MainMenu: The menu (usually on the left)
* DefaultTiddlers: Contains the names of the tiddlers that you want to appear when the TiddlyWiki is opened
You'll also need to enter your username for signing your edits: <<option txtUserName>>
/***
|''Name:''|LegacyStrikeThroughPlugin|
|''Description:''|Support for legacy (pre 2.1) strike through formatting|
|''Version:''|1.0.2|
|''Date:''|Jul 21, 2006|
|''Source:''|http://www.tiddlywiki.com/#LegacyStrikeThroughPlugin|
|''Author:''|MartinBudden (mjbudden (at) gmail (dot) com)|
|''License:''|[[BSD open source license]]|
|''CoreVersion:''|2.1.0|
***/

//{{{
// Ensure that the LegacyStrikeThrough Plugin is only installed once.
if(!version.extensions.LegacyStrikeThroughPlugin) {
version.extensions.LegacyStrikeThroughPlugin = {installed:true};

config.formatters.push(
{
	name: "legacyStrikeByChar",
	match: "==",
	termRegExp: /(==)/mg,
	element: "strike",
	handler: config.formatterHelpers.createElementAndWikify
});

} //# end of "install only once"
//}}}
!!![[Video Goals Essay|VideoGoalsEssay]]
!Menu
!!<<slider chkFittonSlider [[FittonPanel]] "Eric Fitton" "Information About Me">>
!!<<slider chkMathSlider [[MathPanel]] "Mathematics" "Open Math Information">>
!!<<slider chkExploringComputersSlider [[ExploreComputerPanel]] "Exploring Computers" "Open Exploring Computers">>
!!<<slider chkSoftwareSlider [[SoftwarePanel]] "Software" "Open Software Information">>
!!<<slider chkMSUSlider [[MSUPanel]] "MSU Application" "Open MSU Application">>
!!![[Algebra 1]]
!!![[Geometry]]
!!![[Algebra II]]
!!![[Trigonometry]]
[img[WordWall|WordWallRocketWeb.jpg]]

I have tried two different approaches with [[Geometry]] vocabulary, and intend to extend these ideas to the other math courses I teach. 

The first approach is called the KIM method. I learned about KIM from my Dean at Benton Harbor. The basic idea is to break every word down into three parts: The ''K''ey Idea, ''I''nformation, ''M''emory Clue. The ''Key Idea'' is the vocabulary word. The ''Information'' is the definition. The ''Memory Clue'' is a drawing that helps students remember the word. The idea is well shown at http://www.asdk12.org/MiddleLink/HighFive/KIM/.

The second approach I use is a word wall. I incorporate the word wall with the KIM method. The word goes on the board, we define the word and draw the picture. After class I then tape the word to the wall. http://www.justreadnow.com/strategies/wordwall.htm gives a definition and techniques.

[[A picture|VocabWordWall_WebSize.pdf]] with both a part of my word wall along with a student's KIM sheet, which I collect every test day along with their notes. Here is a blank [[vocabulary grid|VocabularyGrid.pdf]].
a website of a mathematics teacher
[[Eric Fitton|EricFitton]]
http://www.efitton.net/
!!!GeoGebra
!!!TiddlyWiki
/***
|''Name:''|SparklinePlugin|
|''Description:''|Sparklines macro|
***/
//{{{
if(!version.extensions.SparklinePlugin) {
version.extensions.SparklinePlugin = {installed:true};

//--
//-- Sparklines
//--

config.macros.sparkline = {};
config.macros.sparkline.handler = function(place,macroName,params)
{
	var data = [];
	var min = 0;
	var max = 0;
	var v;
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		if(v < min)
			min = v;
		if(v > max)
			max = v;
		data.push(v);
	}
	if(data.length < 1)
		return;
	var box = createTiddlyElement(place,"span",null,"sparkline",String.fromCharCode(160));
	box.title = data.join(",");
	var w = box.offsetWidth;
	var h = box.offsetHeight;
	box.style.paddingRight = (data.length * 2 - w) + "px";
	box.style.position = "relative";
	for(var d=0; d<data.length; d++) {
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		tick.border = 0;
		tick.className = "sparktick";
		tick.style.position = "absolute";
		tick.src = "data:image/gif,GIF89a%01%00%01%00%91%FF%00%FF%FF%FF%00%00%00%C0%C0%C0%00%00%00!%F9%04%01%00%00%02%00%2C%00%00%00%00%01%00%01%00%40%02%02T%01%00%3B";
		tick.style.left = d*2 + "px";
		tick.style.width = "2px";
		v = Math.floor(((data[d] - min)/(max-min)) * h);
		tick.style.top = (h-v) + "px";
		tick.style.height = v + "px";
		box.appendChild(tick);
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}
//}}}
	The word computer was used before the digital revolution. A computer referred to a person, a trade, or a career. People looked up logarithms, found sines and cosines, and determined square roots. They carefully and methodically followed algorithms similar to the process of a modern digital computer. This is not what I look for from students. Mindlessly following an algorithm is not mathematics. I expect students to be able to calculate accurately and quickly, but am more concerned about how they make sense of mathematics, how they view mathematics and how they solve problems.

	A calculator can determine the interest on a loan but a student of mathematics can make sense of exponential growth. After graduating, my students may never calculate a payment using the interest formula; however, I want them to understand that credit card debt grows exponentially. I do not know what jobs or hobbies my students will have throughout their life. However, I do recognize that not knowing mathematics can limit a person’s future. Most importantly, I want students to be able to approach a problem logically with the expectation of solving their problem, whether the problem involves numbers or not.
There are many ways of creating web pages and websites. Raw html, applications such as ~FrontPage and Dreamweaver can all work. I started to look at wikis as a way to collaborate with my fellow math teachers at Benton Harbor. While I am still researching collaborative wikis, I did find ~TiddlyWiki which can be used as a personal notebook, blog, or a way to create a person website. ~TiddlyWiki can be found at http://www.tiddlywiki.com.
All GeoGebra Applets will open in a new tab or window.

I have a couple of applets to be used with right angle trigonometry. The first shows sines / cosines / tangents with two similar triangles:
[[Similar Triangles Right Angle Trig|Trigonometry/SimilarTrianglesRightAngleTrig.html]]
The other right angle worksheet was written to use in class to quickly and dynamically create examples:
[[Right Angle Trig Practice|Trigonometry/TriangleForRightAngleTrigInClass.html]]
I have created a few kinetic views of the unit circle. Eventually I will be adding more inquiry questions, either on the page or as a worksheet.

A tool to demonstrate, conceptually, what the sine //is// on the unit circle:
[[Sine on the unit circle (radians)|Trigonometry/SineUnitCircle.html]]
A similar tool but gives the sine and the cosine on the unit circle using degrees:
[[Sine / Cosine on the unit circle (degrees)|Trigonometry/UnitCircleDegrees.html]]

A way to illustrate how sine and cosine waves can be created using the unit circle:
[[Sine and cosine waves (degrees)|Trigonometry/SineCosineUnitCircle_degree_web.html]]
[[Sine and cosine waves (radians)|Trigonometry/SineCosineUnitCircle.html]]
This is my MSU college of education technology video goals essay in a few different formats: 
[[mov format|MSU_Application.mov]]
[[avi format|MSU_Application_xvid.avi]]
[[flash / flv format|MSU_Application.flv]]
[[shockwave format|MSU_Application.swf]]