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      <title>Math08- Unit 3- Systems of Linear Equations by Erica Campos</title>
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      <pubDate>2017-07-10 19:27:50 UTC</pubDate>
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         <title>Essential Questions</title>
         <author>camposroom104</author>
         <link>https://padlet.com/camposroom104/Unit3SystemsofLinearEquations/wish/178416882</link>
         <description><![CDATA[<ul><li>What does it mean to be a solution to a system<br>of equations?</li><li>Does the intersection of the two lines satisfy the two equations?</li><li>How do you solve a system of equations?&nbsp;</li><li>What is a real-world application of systems?<br>How do businesses use systems of equations to<br>maximize profits?</li></ul>]]></description>
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         <pubDate>2017-07-10 19:27:50 UTC</pubDate>
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         <title>Standards</title>
         <author>camposroom104</author>
         <link>https://padlet.com/camposroom104/Unit3SystemsofLinearEquations/wish/178416883</link>
         <description><![CDATA[<div><strong>PRIORITY STANDARDS<br>EE.8​</strong> Analyze and solve pairs of simultaneous linear equations.<br><strong>a​)</strong> Understand that solutions to a system of two linear equations in two variables correspond<br>to points of intersection of their graphs, because points of intersection satisfy both<br>equations simultaneously.<br><strong>b)</strong>​ Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.<br><strong>c​)</strong> Solve real-world and mathematical problems leading to linear equations in two variables.<br>For example, given coordinates for two pairs of points, determine whether the line through<br>the first pair of points intersects the line through the second pair.<br><br><strong>SUPPORTING STANDARDS<br>EE.5​</strong> Graph proportional relationships, interpreting the unit rate as the slope of the graph.<br>Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving<br>objects has greater speed.<br><br><strong>F.2 </strong>​Compare properties of two functions each represented in a different way (algebraically,<br>graphically, numerically in tables, or by verbal descriptions). For example, given a linear<br>function represented by a table of values and a linear function represented by an algebraic<br>expression, determine which function has the greater rate of change.</div>]]></description>
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         <title>Learning Objectives</title>
         <author>camposroom104</author>
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         <description><![CDATA[<ul><li>We will use our knowledge of graphing to graph a system of equations.</li><li>We will interpret the intersection point of the graph of the system algebraically.</li><li>We will use slope-intercept form to derive the equations of the lines that comprise the system.</li><li>We will be able to match a given system to a graph or a graph to a system of equations.</li><li>We will use substitution to verify that an ordered pair is a solution to a system.</li><li>We will use elimination to solve a system of equations</li><li>We will use the substitution method to solve a system of equations.</li><li>We will correctly interpret the result obtained by solving a system of equations with infinitely many solutions.</li><li>We will correctly interpret the results obtained by solving a system of equations with no solution.</li><li>We will be able to explain the relationship of the result of solving a system with one, infinitely many, or no solutions with their graphs.</li><li>We will be able to solve simple systems by inspection.</li><li>We will use our knowledge of solving equations to solve real-world and mathematical<br>problems leading to linear equations in two variables.</li><li>We will solve word problems that can lead to equations of the form px + q = r and p(x + q) =r, where p, q, and r are specific rational numbers.</li><li>We will reason about real-world situation to create a system of equations that represent the situation.</li><li>We will use our understanding of systems of equations to write the solution in context of the problem.</li></ul>]]></description>
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         <pubDate>2017-07-10 19:27:50 UTC</pubDate>
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         <title>Tier 2</title>
         <author>camposroom104</author>
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         <description><![CDATA[<div>Interpret<br>Solve<br>Justify<br>Refute<br>Construct<br>Chain of reason<br>Argument<br>Conclude<br>Corroborate<br>Evidence<br>Confirm<br>Verify<br>Create<br>Apply<br>Model</div>]]></description>
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         <pubDate>2017-07-11 03:50:01 UTC</pubDate>
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         <title>Tier 3</title>
         <author>camposroom104</author>
         <link>https://padlet.com/camposroom104/Unit3SystemsofLinearEquations/wish/178443097</link>
         <description><![CDATA[<div>Proportional<br>Relationship<br>Direct Variation<br>Slant<br>Steepness<br>Break point<br>Dependent<br>Variable<br>Decline<br>Formula<br>Proportions<br>Initial Value<br>Independent<br>Variable<br>Gradual<br>Tilt<br>Downgrade<br>Upgrade<br>Gradient<br>Angle of<br>ascent<br>Angle of<br>descent<br>Incline<br>Substitution<br>Elimination<br>solution<br>System<br>Infinite<br><br></div>]]></description>
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         <pubDate>2017-07-11 03:50:09 UTC</pubDate>
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         <title></title>
         <author>camposroom104</author>
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         <description><![CDATA[<div>Solving and interpreting a system of linear equations by graphing</div>]]></description>
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         <pubDate>2017-07-12 06:18:14 UTC</pubDate>
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         <title></title>
         <author>camposroom104</author>
         <link>https://padlet.com/camposroom104/Unit3SystemsofLinearEquations/wish/178538268</link>
         <description><![CDATA[<div>Interpreting solutions of systems of linear equations</div>]]></description>
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         <pubDate>2017-07-12 06:19:12 UTC</pubDate>
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         <title></title>
         <author>camposroom104</author>
         <link>https://padlet.com/camposroom104/Unit3SystemsofLinearEquations/wish/178538290</link>
         <description><![CDATA[<div>Analyzing special types of linear systems</div>]]></description>
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         <pubDate>2017-07-12 06:19:42 UTC</pubDate>
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         <title></title>
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         <description><![CDATA[<h1>Solutions of systems of equations</h1>]]></description>
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         <pubDate>2017-07-12 06:20:24 UTC</pubDate>
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         <title>Elimination Method</title>
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         <pubDate>2017-07-12 06:21:20 UTC</pubDate>
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         <description><![CDATA[<div>Substitution Method</div>]]></description>
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         <pubDate>2017-07-12 06:21:52 UTC</pubDate>
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         <description><![CDATA[<div>Graphing Method</div>]]></description>
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         <pubDate>2017-07-12 06:22:57 UTC</pubDate>
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         <title>Solving Systems by Substitution (notes)</title>
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         <title>Solving Systems by Elimination (notes)</title>
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         <title>Solving systems by graphing (notes)</title>
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