tag:blogger.com,1999:blog-79397230589252738172024-03-20T23:02:49.335-07:00Mr. Lattanzi's Math BlogLattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.comBlogger91125tag:blogger.com,1999:blog-7939723058925273817.post-63112992128224613572014-01-10T07:05:00.001-08:002014-01-10T07:05:09.422-08:00Evaluating ExpressionsRemember from class we discussed the difference between numerical expressions and algebraic expressions. Algebraic expressions contain a variable. Also remember that expressions are part of equations. An equation is demonstrating two expressions that are equal. For example the equation y + 6 = x + 5 has two algebraic expressions which you know are equivalent given the equal sign.<br />
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To evaluate algebraic expressions you must know the value of the variable. The values of the variables will always be given. Here's an example:<br />
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<span style="font-size: large;">Evaluate the expression 4b + 3c - 10 for b=5 and c=2.</span><br />
<span style="font-size: large;"><br /></span>
To evaluate simply substitute the value of the variable and follow order of operations. In class, I expect to see the substitution. This is the expectation:<br />
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4<b><span style="color: red;">(5)</span></b> + 3<span style="color: red;"><b>(2)</b></span> - 10 This shows the substitution<br />
20 + 6 - 10 This demonstrates following the orders of operations<br />
26 - 10<br />
16 Solution<br />
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Here's another<br />
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<span style="font-size: large;">Evaluate x^y - xyz + 6(z - y) when x=2, y=3, and z=(-1)</span><br />
<span style="font-size: large;"><br /></span>
2^3 - (2)(3)(-1) + 6(-1 - 3)<br />
8 - (-6) + 6(-4)<br />
8 + 6 + (-24)<br />
14 + (-24)<br />
(-10)<br />
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<br />Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com3tag:blogger.com,1999:blog-7939723058925273817.post-17491531251235949392014-01-09T14:11:00.000-08:002014-01-10T06:45:34.770-08:00Combining Like Terms<div class="separator" style="clear: both; text-align: center;">
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Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com1tag:blogger.com,1999:blog-7939723058925273817.post-40116948911156291232014-01-09T08:45:00.000-08:002014-01-10T06:44:47.078-08:00Writing Algebraic Expressions From Word PhrasesThis can be challenging, however it is important to take your time and make sense of the problem. Unfortunately there are no hard and fast rules (like integers) to interpret the word phrases into algebraic expressions, so we need to practice. One of the harder phrases involve subtraction. Look at the list below and be sure to study these phrases. <br />
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<ul><ul>
<li><b><span style="color: orange;">A number less 9.........................n - 9</span></b></li>
<li><b><span style="color: orange;">A number less than 9.................9 - n</span></b></li>
<li><b><span style="color: orange;">A number is less than 9..............n < 9</span></b></li>
</ul>
</ul>
<div>
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Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com1tag:blogger.com,1999:blog-7939723058925273817.post-26373628912868892722013-11-12T09:14:00.000-08:002013-11-12T09:05:54.836-08:00InequalitiesInequalities are mathematical sentences that compare quantities (amounts or values) that are not equal. Remember that the an equation is a mathematical sentence that relates two equal quanties. For example 4+5 = 19-10. An inequality might be written 4+5 < 19+10. <br />
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Notice the difference: both sides of the equation have a value of 9, while the inquality has a value of 9 on the left and a value of 19 on the right. Since the value of 19 is greater the symbol for greater stands in for the equal sign.<br />
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<b>Symbols to Remember</b><br />
<b><span style="color: #0b5394;"><br /></span></b>
<b><span style="color: #0b5394;">< means "is less than"</span></b><br />
<b><span style="color: #0b5394;">> means "is greater than"</span></b><br />
<b><span style="color: #0b5394;"><u><</u> means "is less than or equal to"</span></b><br />
<b><span style="color: #0b5394;"><u>></u> means "is greater than or equal to"</span></b><br />
<b><span style="color: #0b5394;"><br /></span></b>
<i><b>Note</b>: the word "is" is important to remember when describing an inequality because later you will be writing algebraic expressions from word phrases. "Is less than" and "less than" mean two different things, where the phrase "less than" means to subtract and "is less than" signifies and inequality.</i><br />
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Graphing Inequalities on a Number Line<br />
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When graphing on a number line, any < or > inequality is graphed with an open circle. So x <u>></u> 2 1/2 is graphed....<br />
<div style="text-align: center;">
<img src="http://img.sparknotes.com/figures/5/50ca5e784bb7e4242910d5b8a571d103/number_line5.gif" /></div>
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When graphing <u><</u> or <u>></u> , the graph uses a closed circle because value may be equal to the point on the number line. So x <u><</u> 2 1/2 is graphed...<br />
<div style="text-align: center;">
<img src="http://img.sparknotes.com/figures/5/50ca5e784bb7e4242910d5b8a571d103/number_line2.gif" /></div>
<div style="text-align: left;">
<span style="font-size: xx-small;">Graphs taken from: <a href="http://www.sparknotes.com/math/algebra1/inequalities/section4.rhtml">http://www.sparknotes.com/math/algebra1/inequalities/section4.rhtml</a></span></div>
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<div style="text-align: center;">
<b><a href="http://openhighschoolcourses.org/mod/book/view.php?id=289&chapterid=684" target="_blank"><span style="font-size: small;">For more explanation take a look at this site. </span></a></b></div>
<b></b><br />
<div style="text-align: center;">
<b><b><a href="http://openhighschoolcourses.org/mod/book/view.php?id=289&chapterid=684" target="_blank"><span style="font-size: small;">It gives a clear description of inequalities and graphing.</span></a></b></b></div>
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</b>Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com1tag:blogger.com,1999:blog-7939723058925273817.post-67245691553874050262013-11-12T09:00:00.000-08:002013-11-12T09:07:30.077-08:00Inequalities (more notes)Here is something that Mrs. Salinger created that you might find hopeful.<br />
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<span style="font-size: x-small;"><a href="http://www.docstoc.com/docs/137548205/Inequality-Notes">Inequality Notes</a></span><br />
<object data="http://viewer.docstoc.com/" height="595" id="_ds_137548205" name="_ds_137548205" type="application/x-shockwave-flash" width="567"><param name="FlashVars" value="doc_id=137548205&mem_id=1240879&doc_type=docx&fullscreen=0&allowdownload=1" /><param name="movie" value="http://viewer.docstoc.com/"/><param name="allowScriptAccess" value="always" /><param name="allowFullScreen" value="true" /></object><script type="text/javascript">var docstoc_docid="137548205";var docstoc_title="Inequality Notes";var docstoc_urltitle="Inequality Notes";</script><script src="http://i.docstoccdn.com/js/check-flash.js" type="text/javascript"></script>Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com0tag:blogger.com,1999:blog-7939723058925273817.post-29188350424987409772013-11-12T08:29:00.000-08:002013-11-12T09:03:38.871-08:00The Coordinate Plane<div style="text-align: center;">
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<div style="text-align: left;">
<div style="text-align: center;">
<img src="http://www.onlinemathlearning.com/image-files/coordinate-plane_clip_image001.gif" /></div>
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Above you will see an example of the coordinate plane. The coordinate plane is a two dimensional surface on which you can plot points to create lines and curves. </div>
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<div style="text-align: left;">
The plane is constructed by two axes - the x-axis and the y-axis.</div>
<div style="text-align: left;">
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<div style="text-align: left;">
The<b> x-axis</b> is the horizontal (left/right) scale or number line with negative numbers two the left of zero and decreasing in value and positive numbers to the right of zero increasing in value.</div>
<div style="text-align: left;">
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<div style="text-align: left;">
The <b>y-axis</b> is the vertical (up/down) scale or number line with negative numbers two the below zero and decreasing in value and positive numbers to the above zero increasing in value.</div>
<div style="text-align: left;">
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<div style="text-align: left;">
Where the x and y axes cross is called the <b>origin</b> and is noted as (0,0).</div>
<div style="text-align: left;">
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<div style="text-align: left;">
The x and y axes also create four separate sections on the plane and are called <b>quadrants</b>. Quadrant I has both positive coordinates. The rest of the quadrants are numbered in <i>counter </i>clockwise order. (See image above)</div>
<div style="text-align: left;">
<br /></div>
<div style="text-align: left;">
You plot points using a value of x (horizontal) and a value for y (vertical). You need both values to plot a point and they are written as (x,y). They can be called<b> coordinates</b> or<b> ordered pairs</b>.</div>
<div style="text-align: left;">
<br /></div>
<div style="text-align: left;">
<b><span style="color: #0b5394;">Features to Think About</span></b></div>
<div style="text-align: left;">
</div>
<ul>
<li>You can tell whether a point lies on the x or y axis by looking at the coordinates</li>
<ul>
<li>If the y coordinate is zero then the point lies on the x axis</li>
<li>If the x coordinate is zero then the point lies on the y axis</li>
<li>This should make sense because if there is no value for y, for example, the point will be neither above or below the x-axis.</li>
</ul>
<li>Because of what was mentioned in the previous bullet, not all points will be placed in one of the four quadrants. Some points will lie on either the x or y axis or on the origin iteself</li>
</ul>
<br />
<div style="text-align: left;">
<br /></div>
<div style="text-align: left;">
<b><span style="color: #0b5394;">Help Hints</span></b> (Reasons for the Names)</div>
<div style="text-align: left;">
</div>
<ul>
<li>If you break the word COORDINATE into the prefix CO and the root ORDINATE, know that the prefix CO means 'together' and the root ordinate means 'place in orderly rows or regular fashion.'</li>
<li>Think of ORIGIN is the beginning or a starting point</li>
<li>Look at the word QUADRANT, 'quad' signifies 'four'</li>
<li>To remember the order of your coordinates, think about why they are called ORDERED PAIRS. Notice that they are written in alphabetical order (x,y).</li>
</ul>
<b><span style="color: #0b5394;">Uses for the Coordinate Plane</span></b><br />
<div style="text-align: left;">
</div>
<ul>
<li>Navigation</li>
<li>Business and Statistics to track and understand trends</li>
<li>Scientists and Economists to analyze relationships</li>
</ul>
<span style="font-size: x-small;">Image From: </span><span style="font-size: x-small;">http://www.learningwave.com/lwonline/algebra_section2/alg_coord.html</span>Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com1tag:blogger.com,1999:blog-7939723058925273817.post-47427969451119272222013-11-11T08:32:00.000-08:002013-11-12T09:04:48.960-08:00Plotting PracticeClick on the link below for a list of interactive resources you can use to practice plotting points on a coordinate plane.<br />
<br />
<a href="http://www.internet4classrooms.com/skill_builders/coordinate_plane_math_sixth_6th_grade.htm">http://www.internet4classrooms.com/skill_builders/coordinate_plane_math_sixth_6th_grade.htm</a><br />
<br />
I personally like this<a href="http://mrnussbaum.com/stockshelves/" target="_blank"> Stock the Shelves</a> game to increase your speed and accuracy.Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com0tag:blogger.com,1999:blog-7939723058925273817.post-19013464180781458382013-10-30T09:30:00.000-07:002013-10-30T07:36:15.940-07:00Pep Talk<iframe allowfullscreen="" frameborder="0" height="315" src="http://www.youtube.com/embed/l-gQLqv9f4o" width="560"></iframe>Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com0tag:blogger.com,1999:blog-7939723058925273817.post-5675162576752050452013-10-30T09:00:00.002-07:002013-10-30T07:39:36.270-07:00Integers and the Coordinate Plane Pretest<span style="font-size: x-small;"><a href="http://www.docstoc.com/docs/137061739/Integers-and-the-Coordinate-Plane-Pre-Test">Integers and the Coordinate Plane Pre-Test</a></span><br />
<object data="http://viewer.docstoc.com/" height="495" id="_ds_137061739" name="_ds_137061739" type="application/x-shockwave-flash" width="567"><param name="FlashVars" value="doc_id=137061739&mem_id=1240879&doc_type=docx&fullscreen=0&allowdownload=1" /><param name="movie" value="http://viewer.docstoc.com/"/><param name="allowScriptAccess" value="always" /><param name="allowFullScreen" value="true" /></object><script type="text/javascript">var docstoc_docid="137061739";var docstoc_title="Integers and the Coordinate Plane Pre-Test";var docstoc_urltitle="Integers and the Coordinate Plane Pre-Test";</script><script src="http://i.docstoccdn.com/js/check-flash.js" type="text/javascript"></script>Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com0tag:blogger.com,1999:blog-7939723058925273817.post-58904043439127205162013-10-30T09:00:00.001-07:002013-10-30T07:38:21.268-07:00Absolute ValueAbsolute value simply means the amount of "jumps" made on a number line. It is a measurement of distance moved from one place on a number line to another. Because it is measuring distance <i>and not direction</i>, absolute value is always positive. The absolute value of a number is noted between two absolute value bars.<br />
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<table align="center" border="0" style="color: black; font-family: Verdana, Tahoma, Arial, sans-serif; font-size: 13px; line-height: 19px; text-align: left;"><tbody>
<tr align="center"><td class="large" style="font: normal normal 400 18px/27px Verdana, Georgia, helvetica, 'Times New Roman', serif; line-height: 17px;" width="180"><span style="color: #0b5394;">|-5| = 5</span></td><td class="large" style="font: normal normal 400 18px/27px Verdana, Georgia, helvetica, 'Times New Roman', serif; line-height: 17px;" width="180"><span style="color: #0b5394;">|7| = 7</span></td></tr>
</tbody></table>
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If we take the absolute value of<span style="color: #0b5394;"> <span class="Apple-style-span" style="font-family: Verdana, Georgia, helvetica, 'Times New Roman', serif; font-size: 18px; line-height: 27px;">|-6|</span></span>or<span class="Apple-style-span" style="color: #0b5394; font-family: Verdana, Georgia, helvetica, 'Times New Roman', serif; font-size: 18px; line-height: 27px;">|6|</span><span class="Apple-style-span" style="color: #a06000; font-family: Verdana, Georgia, helvetica, 'Times New Roman', serif; font-size: 18px; line-height: 27px;"> </span>or and look at it as the distance from zero on the number line, you can see that in either direction you have moved six spaces. You either move or you don't. This is way the value is always positive.<br />
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<span class="Apple-style-span" style="color: #0b5394; font-family: Verdana, Georgia, helvetica, 'Times New Roman', serif; font-size: 18px; line-height: 27px;">I</span><span class="Apple-style-span" style="color: #0b5394; font-family: Verdana, Georgia, helvetica, 'Times New Roman', serif; font-size: 18px; line-height: 27px;">mportant to Remember:</span><span class="Apple-style-span" style="color: #a06000; font-family: Verdana, Georgia, helvetica, 'Times New Roman', serif; font-size: 18px; line-height: 27px;"> </span>Absolute value bars are also considered grouping symbols. Like parentheses, whatever operations occur inside the absolute value bars are done first in order of operations.<br />
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<span class="Apple-style-span" style="font-size: x-small;">Number Line Image taken from <a href="http://www.mathisfun.com/">www.mathisfun.com</a></span></div>
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Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com0tag:blogger.com,1999:blog-7939723058925273817.post-9272857756039470272013-10-30T09:00:00.000-07:002013-10-30T07:37:38.621-07:00Integers & Rational NumbersWelcome to the new unit on Integers and the Coordinate Plane. In class we talked about two categories of numbers. Integers are any positive or negative whole number including zero. Essentially any whole number and its opposite is considered an integers (for example 4 and -4 are opposites). The other category is called rational numbers. Rational numbers are numbers that can be converted into fractions. Decimals that repeat in consistent patterns or that terminate can be converted into fractions. Numbers like <a href="http://en.wikipedia.org/wiki/Pi" target="_blank">pi</a> or <a href="http://en.wikipedia.org/wiki/Phi" target="_blank">phi </a>can not be converted into fractions because the decimal does not terminate and there is no consistent pattern with the digits. These numbers are called irrational.<br />
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One clue to remember what a rational number is to look at the word rational itself. RATIOnal. Notice the root of the word is ratio. Remember ratios are the comparison of one quantity to another (numerators as compared to denominators) and are typically written in fraction form.<br />
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A set of integers ordered least to greatest may be {-5, -1, 0, 4, 10}<br />
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A set of rational numbers ordered least to greatest may be {-3/5, -.25, 1, 1/2, .4444....} </div>
Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com1tag:blogger.com,1999:blog-7939723058925273817.post-40073164137357925242013-10-14T14:34:00.000-07:002013-10-14T11:07:12.291-07:00Fractions, Decimals, and Percent ConversionsClick on the link to go to the <a href="http://www.mathsisfun.com/decimal-fraction-percentage.html" target="_blank">Math is Fun</a> website to review your understanding of fraction, decimal, and percent conversion. There is a great interactive manipulative for you to use. My only issue with this page is when it explains how to convert decimals into percents and back into decimals again, it does not explain <i><b>why </b></i>you move the decimal two places.<br />
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Remember: converting a decimal to a percent requires you to multiply by 100 (percent means for every hundred). You are moving the decimal to the right because you are multiplying by a number greater than one. You are moving it twice because 100 is equivalent to 10 to the 2nd power which is equivalent to two place values. Moving from a percent to a decimal requires you to <b><i>divide </i></b>by 100. It should make sense that you would move the decimal to the left now because you number should get smaller.Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com1tag:blogger.com,1999:blog-7939723058925273817.post-10469225557506584552013-10-14T13:06:00.000-07:002013-10-14T11:05:20.175-07:00Suggested Strategies for Comparing & Ordering FractionsThe following document was created by Mrs. A. Salinger.
<span style="font-size: x-small;"><a href="http://www.docstoc.com/docs/133566513/Comparing-Fractions">Comparing Fractions</a></span><br />
<object data="http://viewer.docstoc.com/" height="495" id="_ds_133566513" name="_ds_133566513" type="application/x-shockwave-flash" width="567"><param name="FlashVars" value="doc_id=133566513&mem_id=1240879&doc_type=pdf&fullscreen=0&allowdownload=1" /><param name="movie" value="http://viewer.docstoc.com/"/><param name="allowScriptAccess" value="always" /><param name="allowFullScreen" value="true" /></object><script type="text/javascript">var docstoc_docid="133566513";var docstoc_title="Comparing Fractions";var docstoc_urltitle="Comparing Fractions";</script><script src="http://i.docstoccdn.com/js/check-flash.js" type="text/javascript"></script>Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com0tag:blogger.com,1999:blog-7939723058925273817.post-52507985384751631202013-10-14T11:13:00.002-07:002013-10-14T11:13:52.764-07:00Converting Decimals to FractionsTo convert decimals to fractions first you should remember that all decimal places have a base-ten place value. So, the first place behind the decimal point is the tenths, the second place is the hundredths, the third place is the thousandths, and so on.<br />
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If you are given a decimal such as 0.312, simply say the decimal in the proper notation. ("three hundred twelve thousandths"). You should be able to 'hear' the denominator of your fraction. Therefore the fraction form is 312/1000.<br />
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BUT WAIT!<br />
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You must always reduce your fractions to their simplest form. Since the GCF of 312 and 1000 is 8, take 312/1000 divide your numerator and denominator by 8/8 to get<b><span style="color: blue;"> 39/125</span></b>. This is the fraction form of the decimal 0.312.Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com1tag:blogger.com,1999:blog-7939723058925273817.post-41504666833119403842013-10-14T11:03:00.001-07:002013-10-14T11:04:13.327-07:00Comparing FractionsHere is a quick overview of comparing fractions from <a href="http://www.mathsisfun.com/comparing-fractions.html" target="_blank">Math is Fun</a>. You can cross multiply to see which fraction is greater. However, remember that cross-multiplying is actually finding the common denominator by multiplying the two denominators together. You are just skipping the step of writing the common denominator to compare.<br />
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Compare 2/3 to 5/7. When you cross multiply 3*5 and 2*7 you'll see that 2/3 is less than 5/7. What you're really doing is this 2/3 * 7/7 = 14/21 and 5/7* 3/3 = 15/21. You should notice that the numerators are the same as the number you got when you cross multiplied.Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com0tag:blogger.com,1999:blog-7939723058925273817.post-47385390677266855862013-10-14T09:48:00.000-07:002013-10-14T07:39:09.860-07:00Tradition Long Division AlgorithmHi again,<br />
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The long division algorithm may take some getting used to, however, if you think about place values and stay organized, you'll see that it may take less brain power than using partial quotients. If fact, the traditional algorithm allows you to divide more accurately in that you do not need to use remainders anymore. By adding a decimal point and zeros to your dividend you can continue to divide with out changing the value of your dividend. The video below show you the basic method when the divisot goes into the dividend evenly.<br />
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The image below is a clear example of another problem where the divisor goes into the divided evenly. The letters down the side just show the steps.</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjfXYLB3DdE7ViZjh5TQKfx20zA-7iBvU71nVSAAPPVNgle0aB6nDyGVzAVENrgN6oudNYqPygRJuOvTquWCBoty2jDCMflxVFfGKn9VHYEpA8DglfG2WkMaUS-WZvwrnvoEoBERoZEAX0/s1600/long-div.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="188" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjfXYLB3DdE7ViZjh5TQKfx20zA-7iBvU71nVSAAPPVNgle0aB6nDyGVzAVENrgN6oudNYqPygRJuOvTquWCBoty2jDCMflxVFfGKn9VHYEpA8DglfG2WkMaUS-WZvwrnvoEoBERoZEAX0/s320/long-div.png" width="320" /></a></div>
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You may have noticed the "crib" to the left of the image. Some people will multiply the divisor by numbers 1-9 first to make the division work go more smoothly. Ten is actually unnecessary because each place value can only be named by one digit.</div>
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The video below shows you a division problem where the remainder is converted into a decimal.</div>
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Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com1tag:blogger.com,1999:blog-7939723058925273817.post-60850215674016435722013-10-14T09:23:00.000-07:002013-10-14T07:38:24.054-07:00Traditional Multiplication AlgorithmHi Everyone, I know some of you have experience with the traditional multiplication algorithm and some of you prefer to use the lattice method. There are many avenues to solve problems, some are better than others under certain circumstances. With some practice, the traditional algorithm for multiplication will help you solve problems quickly and efficiently.<br />
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The video below explains the algorithm using the distributive property. </div>
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When multiplying by more than one digit, you just have to remember what you know about place value. When multiplying and number by a multiple of 10, your product will always end in a zero. Then same is true for multiplying by any multiple of 100, your product will always end in two zeros. Keep this in mind when using the traditional algorithm because when you multiply by a new place value you will add the appropriate number of zeros to your product in the problem. Here's an example, notice the bolded zero. That is placed there because your are multiplying in the tens place. If you had a third digit, you would add two zeros because your are multiplying by the hundreds place.</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8XMoymlDe_McNv_l7GMt8v-np4QxDAOnS84Wk11wSksRwSFqP4oahMEUKh2jmx1trRdWwkSEQgWRLgDfhx4faBQ7q8MdE0FGcLDwoS2bNc2pWrS4iiVZk9spm98l-tdnY2pHBe1RWNg4/s1600/traditionalMultiplication.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="138" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8XMoymlDe_McNv_l7GMt8v-np4QxDAOnS84Wk11wSksRwSFqP4oahMEUKh2jmx1trRdWwkSEQgWRLgDfhx4faBQ7q8MdE0FGcLDwoS2bNc2pWrS4iiVZk9spm98l-tdnY2pHBe1RWNg4/s320/traditionalMultiplication.jpg" width="320" /></a></div>
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Here's another Khan Academy video for further explanation.</div>
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Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com0tag:blogger.com,1999:blog-7939723058925273817.post-71862097570725225922013-10-14T08:03:00.001-07:002013-10-14T08:03:09.833-07:00Converting Fractions to DecimalsIn class we talked about three different strategies you can use to convert fractions into decimals. It is my recommendation that you start with the easier strategies and work your way down. When looking at a fraction to convert to a decimal <i style="font-weight: bold;">first </i>think about those benchmark fractions we talked about in class. Hopefully you have memorized some and have noticed the patterns they create. This will help you convert the fraction quickly.<br />
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<tr style="height: 0px;"><td style="background-color: #cfe2f3; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: x-small;">1/2</span></span></td><td style="background-color: #cfe2f3; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">.5</span><br />
<span style="font-size: x-small;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"></span></span></td><td style="background-color: #cfe2f3; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;"><br /></span>
<span style="font-size: x-small;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"></span></span></td></tr>
<tr style="height: 0px;"><td style="background-color: #cfe2f3; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: x-small;">1/4, 2/4, 3/4</span></span></td><td style="background-color: #cfe2f3; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">.25, .5, .75</span><br />
<span style="font-size: x-small;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"></span></span></td><td style="background-color: #cfe2f3; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">+0.25</span><br />
<span style="font-size: x-small;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"></span></span></td></tr>
<tr style="height: 0px;"><td style="background-color: #cfe2f3; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: x-small;">1/8, 2/8, 3/8, 4/8, 5/8, 6/8,7/8</span></span></td><td style="background-color: #cfe2f3; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">0.125, 0.25, 0.375, 0.5, 0.625...</span><br />
<span style="font-size: x-small;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"></span></span></td><td style="background-color: #cfe2f3; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">+0.125</span><br />
<span style="font-size: x-small;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"></span></span></td></tr>
<tr style="height: 0px;"><td style="background-color: #cfe2f3; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: x-small;">1/16, 3/16, 5/16….</span></span></td><td style="background-color: #cfe2f3; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">0.0625, 0.125, 0.1875...</span><br />
<span style="font-size: x-small;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"></span></span></td><td style="background-color: #cfe2f3; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">+0.0625</span><br />
<span style="font-size: x-small;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"></span></span></td></tr>
<tr style="height: 0px;"><td style="background-color: #fff2cc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: x-small;">1/3, 2/3</span></span></td><td style="background-color: #fff2cc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">.333..., 0.6666...</span><br />
<span style="font-size: x-small;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"></span></span></td><td style="background-color: #fff2cc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">+0.3 (repeated)</span><br />
<span style="font-size: x-small;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"></span></span></td></tr>
<tr style="height: 0px;"><td style="background-color: #fff2cc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: x-small;">1/6, 2/6, 3/6, 4/6, 5/6</span></span></td><td style="background-color: #fff2cc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">0.166.., 0.33..., 0.5, 0.66..., 0.833..</span><br />
<span style="font-size: x-small;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"></span></span></td><td style="background-color: #fff2cc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">+0.166...</span><br />
<span style="font-size: x-small;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"></span></span></td></tr>
<tr style="height: 0px;"><td style="background-color: #fff2cc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: x-small;">1/9, 2/9, 3/9, 4/9, 5/9….</span></span></td><td style="background-color: #fff2cc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">0.111..., 0.222...0.3333, 0.444</span><br />
<span style="font-size: x-small;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"></span></span></td><td style="background-color: #fff2cc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">+0.1 (repeated)</span><br />
<span style="font-size: x-small;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"></span></span></td></tr>
<tr style="height: 0px;"><td style="background-color: #f4cccc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: x-small;">1/5, 2/5, 3/5, 4/5</span></span></td><td style="background-color: #f4cccc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">0.2, 0.4, 0.6, 0.8</span><br />
<span style="font-size: x-small;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"></span></span></td><td style="background-color: #f4cccc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">+0.2</span><br />
<span style="font-size: x-small;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"></span></span></td></tr>
<tr style="height: 0px;"><td style="background-color: #f4cccc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: x-small;">1/10, 2/10, 3/10, 4/10, 5/10, 6/10...</span></span></td><td style="background-color: #f4cccc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">0.1, 0.2, 0.3<span style="background-color: transparent; color: black; font-family: Arial; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"></span></span></td><td style="background-color: #f4cccc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">+0.1</span><span style="background-color: transparent; color: black; font-family: Arial; font-size: 24px; font-style: normal; font-variant: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"></span></td></tr>
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If you can not remember the benchmarks or one does not exist, look to see if you can find a common denominator with a base ten number. This works because our decimal system place values uses base ten numbers like, tenths, hundredths, thousandths and so on. </div>
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<span id="docs-internal-guid-3afb70da-b774-192c-3753-f15e9c7cd28f"><br /><span style="font-family: Arial; font-size: 15px; vertical-align: baseline; white-space: pre-wrap;"></span><div dir="ltr">
<table style="border-collapse: collapse; border: none; width: 624px;"><colgroup><col width="*"></col><col width="*"></col><col width="*"></col></colgroup><tbody>
<tr style="height: 34px;"><td style="background-color: #b7b7b7; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><div dir="ltr" style="line-height: 1; margin-bottom: 0pt; margin-top: 0pt;">
<span style="background-color: transparent; font-family: Arial; font-size: 15px; vertical-align: baseline; white-space: pre-wrap;">Fractions</span></div>
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<span style="background-color: transparent; font-family: Arial; font-size: 15px; vertical-align: baseline; white-space: pre-wrap;">Decimals</span></div>
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<span style="background-color: transparent; font-family: Arial; font-size: 15px; vertical-align: baseline; white-space: pre-wrap;">Strategy</span></div>
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<span style="background-color: transparent; font-family: Arial; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: x-small;">¼, ¾, ⅕ , ⅓, 7/10</span></span></div>
</td><td style="background-color: #c9daf8; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">See Above<span style="background-color: transparent; font-family: Arial; vertical-align: baseline; white-space: pre-wrap;"></span></span></td><td style="background-color: #c9daf8; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">Benchmark<span style="background-color: transparent; font-family: Arial; vertical-align: baseline; white-space: pre-wrap;"></span></span></td></tr>
<tr style="height: 0px;"><td style="background-color: #c9daf8; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"></td><td style="background-color: #c9daf8; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><br /></td><td style="background-color: #c9daf8; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;"><br /><span style="background-color: transparent; font-family: Arial; vertical-align: baseline; white-space: pre-wrap;"></span></span></td></tr>
<tr style="height: 0px;"><td style="background-color: #d9ead3; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><div dir="ltr" style="line-height: 1; margin-bottom: 0pt; margin-top: 0pt;">
<span style="background-color: transparent; font-family: Arial; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: x-small;">12/16, 15/45, 21/30</span></span></div>
</td><td style="background-color: #d9ead3; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">0.75, 0.333..., 0.7<span style="background-color: transparent; font-family: Arial; vertical-align: baseline; white-space: pre-wrap;"></span></span></td><td style="background-color: #d9ead3; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;">Reduce the fraction first<br />then use Benchmark<span style="background-color: transparent; font-family: Arial; vertical-align: baseline; white-space: pre-wrap;"></span></span></td></tr>
<tr style="height: 0px;"><td style="background-color: #d9ead3; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;"><br /><span style="background-color: transparent; font-family: Arial; vertical-align: baseline; white-space: pre-wrap;"></span></span></td><td style="background-color: #d9ead3; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;"><br /><span style="background-color: transparent; font-family: Arial; vertical-align: baseline; white-space: pre-wrap;"></span></span></td><td style="background-color: #d9ead3; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><span style="font-size: x-small;"><br /><span style="background-color: transparent; font-family: Arial; vertical-align: baseline; white-space: pre-wrap;"></span></span></td></tr>
<tr style="height: 0px;"><td style="background-color: #f4cccc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;"><div dir="ltr" style="line-height: 1; margin-bottom: 0pt; margin-top: 0pt;">
<span style="background-color: transparent; font-family: Arial; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: x-small;">14/25, 23/50, 19/20</span></span></div>
</td><td style="background-color: #f4cccc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;">0.56, 046, 0.95<span style="background-color: transparent; font-family: Arial; font-size: 24px; vertical-align: baseline; white-space: pre-wrap;"></span></td><td style="background-color: #f4cccc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;">All of the denominators are factors of<br />100. Use equivalent fractions to determine decimal<span style="background-color: transparent; font-family: Arial; font-size: 24px; vertical-align: baseline; white-space: pre-wrap;"></span></td></tr>
<tr style="height: 0px;"><td style="background-color: #f4cccc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;">4/125, 7/250<br /><br /><span style="background-color: transparent; font-family: Arial; font-size: 24px; vertical-align: baseline; white-space: pre-wrap;"></span></td><td style="background-color: #f4cccc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;">0.032, 0.028<span style="background-color: transparent; font-family: Arial; font-size: 24px; vertical-align: baseline; white-space: pre-wrap;"></span></td><td style="background-color: #f4cccc; border: 1px solid #000000; padding: 7px 7px 7px 7px; vertical-align: top;">Both denominators are factors of 1000 <span style="background-color: transparent; font-family: Arial; font-size: 24px; vertical-align: baseline; white-space: pre-wrap;"></span></td></tr>
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If all else fails the final strategy is a way to convert any fraction to a decimal. You need to use the traditional division algorithm. Sometimes these problems do not work out nicely and the decimal continues on. I have asked you to round to the nearest hundredth in this case. This means you need to divide up to the thousandths place to be able to round the hundredths.</div>
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<span id="docs-internal-guid-3afb70da-b77d-53d6-33a5-53a3765af1f2"><div dir="ltr" style="line-height: 1.15; margin-bottom: 0pt; margin-top: 0pt; text-align: center;">
<span style="font-family: Arial; font-size: 19px; font-weight: bold; vertical-align: baseline; white-space: pre-wrap;">Converting Fractions Using Long Division</span></div>
<br /><span style="font-family: Arial; font-size: 15px; vertical-align: baseline; white-space: pre-wrap;"></span><div dir="ltr" style="line-height: 1.15; margin-bottom: 0pt; margin-top: 0pt;">
<span style="font-family: Arial; font-size: 15px; vertical-align: baseline; white-space: pre-wrap;">Some fractions are more difficult to convert into decimals because either they do not have an easy benchmark to remember or do not into a base ten denominator easily. Therefore, the only way to convert is to divide the denominator into the numerator to get the decimal value of the fraction. This method will work for any fraction.</span></div>
<br /><span style="font-family: Arial; font-size: 15px; vertical-align: baseline; white-space: pre-wrap;"></span><div dir="ltr" style="line-height: 1.15; margin-bottom: 0pt; margin-top: 0pt;">
<span style="font-family: Arial; font-size: 15px; vertical-align: baseline; white-space: pre-wrap;">Steps</span></div>
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<span style="font-family: Arial; font-size: 15px; vertical-align: baseline; white-space: pre-wrap;">1. Your denominator is your divisor (the number that is doing the dividing) and your numerator is the dividend (the number that is being broken apart. Set up your problem like this. The image is a bit misleading. Notice that a decimal point and zeros should be added to the dividend since it is smaller than the divisor. This allows you to compute.</span></div>
<br /><span style="font-family: Arial; font-size: 15px; vertical-align: baseline; white-space: pre-wrap;"></span><img height="127px;" src="https://lh4.googleusercontent.com/mQC2pfkA1Hcks2oxLKp77phC80OypSeT6_o5OpIrV4UbFSIf9r054XgfBmfPnsstdQ-KrfGr7qRHjc4u9CRhjzU3b8z6Sp2r5NnF9-OpGiiWGYuSjpi7BEf8" width="193px;" /><span style="font-family: Arial; font-size: 15px; vertical-align: baseline; white-space: pre-wrap;"></span><br /><span style="font-family: Arial; font-size: 15px; vertical-align: baseline; white-space: pre-wrap;"></span><div dir="ltr" style="line-height: 1.15; margin-bottom: 0pt; margin-top: 0pt;">
<span style="font-family: Arial; font-size: 15px; vertical-align: baseline; white-space: pre-wrap;">2. Divide. The following fraction works out evenly. Many times this does not happen. If that is the case be sure to read the directions on your assignment. Usually the directions will ask you to round to the nearest hundredth. If there are no directions, it is safe to assume to round to the nearest hundredth. This means you need to divide up to the thousandths place to determine whether you round up or not.</span></div>
<br /><span style="font-family: Arial; font-size: 15px; vertical-align: baseline; white-space: pre-wrap;"></span><img height="145px;" src="https://lh4.googleusercontent.com/lNa4fYO8RTdhHu1jMeZEw-xBb_mL62xTJe3IUrQ18SYO1Bbz0UcumiokADQ5qvfoodW96VpwQ88ke7N3AdFylhWR_Wcg-d_bSzbXZNmjkFZwsMDtDXzoq4y_" width="218px;" /><span style="font-family: Arial; font-size: 15px; vertical-align: baseline; white-space: pre-wrap;"></span><br /><span style="font-family: Arial; font-size: 15px; vertical-align: baseline; white-space: pre-wrap;"></span><br /><span style="font-family: Arial; font-size: 15px; vertical-align: baseline; white-space: pre-wrap;"></span></span></div>
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Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com0tag:blogger.com,1999:blog-7939723058925273817.post-82904592372289890402013-10-03T13:08:00.000-07:002013-10-03T12:36:53.463-07:00Bits & Pieces I Pretest<font size="2"><a href="http://www.docstoc.com/docs/132901707/Bits-and-Pieces-I-Pretest">Bits & Pieces I Pretest</a></font><br/><object id="_ds_132901707" name="_ds_132901707" width="567" height="495" type="application/x-shockwave-flash" data="http://viewer.docstoc.com/"><param name="FlashVars" value="doc_id=132901707&mem_id=1240879&doc_type=doc&fullscreen=0&allowdownload=1" /><param name="movie" value="http://viewer.docstoc.com/"/><param name="allowScriptAccess" value="always" /><param name="allowFullScreen" value="true" /></object><script type="text/javascript">var docstoc_docid="132901707";var docstoc_title="Bits & Pieces I Pretest";var docstoc_urltitle="Bits & Pieces I Pretest";</script><script type="text/javascript" src="http://i.docstoccdn.com/js/check-flash.js"></script>Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com0tag:blogger.com,1999:blog-7939723058925273817.post-67543149929620767932013-09-29T15:52:00.002-07:002013-09-29T15:52:47.898-07:00More Fun (Thanks Mrs. Schwartz)<iframe width="560" height="315" src="//www.youtube.com/embed/KdxEAt91D7k" frameborder="0" allowfullscreen></iframe>Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com0tag:blogger.com,1999:blog-7939723058925273817.post-62825153389972836912013-09-27T16:13:00.001-07:002013-09-27T16:13:57.364-07:00Just for Fun!<iframe width="560" height="315" src="//www.youtube.com/embed/89frRi8GgGA" frameborder="0" allowfullscreen></iframe>Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com0tag:blogger.com,1999:blog-7939723058925273817.post-5623545003209292412013-09-27T16:00:00.000-07:002013-09-27T16:15:49.220-07:00Why Prime Factorization MattersThe following video gives you a preview of some of the work we will be doing in the next unit. I briefly demonstrated how you could use prime factorization to reduce fractions to a couple of the classes. I will go into more detail about this in the future. But for now, this video is a great explanation and demonstrates the power of prime factorization.
<iframe width="560" height="315" src="//www.youtube.com/embed/HJo2Uw3Az-k" frameborder="0" allowfullscreen></iframe>Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com0tag:blogger.com,1999:blog-7939723058925273817.post-57953893635674755362013-09-27T15:54:00.000-07:002013-09-27T15:54:26.113-07:00Explanation of prime factorization The following video is a good review of prime factorization. Prime factorizations is possible because of the Fundamental Theorem of Arithmetic. Think about what the word fundamental means. It means the basis of something. Therefore the Fundamental Theorem describes the basis of numbers which are products of their prime factors and therefore unique!<br />
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<iframe width="560" height="315" src="//www.youtube.com/embed/Tr9FZUhfJR4" frameborder="0" allowfullscreen></iframe>Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com0tag:blogger.com,1999:blog-7939723058925273817.post-4673236473439069672013-09-27T15:15:00.000-07:002013-09-27T15:15:03.409-07:00A little inspiration..<iframe allowfullscreen="" frameborder="0" height="315" src="//www.youtube.com/embed/x78PnPd-V-A" width="560"></iframe>Lattanzi Math Bloghttp://www.blogger.com/profile/05342885295878042113noreply@blogger.com0tag:blogger.com,1999:blog-7939723058925273817.post-11559804263068464732013-09-25T06:42:00.002-07:002013-09-25T06:42:52.176-07:00More GCF & LCM Word Problem Guidance (Cobb County School District<div class="separator" style="clear: both; text-align: center;">
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