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      <title>IM1- Unit 5- Congruence, proof and construction by Erica Campos</title>
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      <pubDate>2017-07-16 01:03:45 UTC</pubDate>
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         <title>Essential Questions</title>
         <author>camposroom104</author>
         <link>https://padlet.com/camposroom104/IM1unit5/wish/178777247</link>
         <description><![CDATA[<ul><li>How do transformations move a figure on the coordinate plane?</li><li>How do we use the definition of rigid motion to prove triangle congruency?</li><li>How can I make formal constructions using a variety of tools?</li><li>How will transformations be used in the coordinate plane?</li><li>How can I define congruence in rigid motion?</li></ul>]]></description>
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         <pubDate>2017-07-16 05:51:13 UTC</pubDate>
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         <title>Learning Objectives</title>
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         <description><![CDATA[<ul><li>Students will perform basic constructions using a compass and straightedge.</li><li>Students will inscribe an equilateral triangle, square and regular hexagon in a circle.</li><li>Students will classify triangles on the coordinate plane using the Pythagorean Theorem and Distance Formula.</li><li>&nbsp;Students will be able to use transformations in the coordinate plane.</li><li>Students will be able to perform double transformations in the coordinate plane.</li><li>Students will specify a sequence of transformations that will carry a given figure onto another.</li><li>Students will understand corresponding parts of congruent triangles are congruent.</li><li>Students will prove triangles are congruent using the distance formula, Pythagorean<br>Theorem, and protractors, if necessary.</li><li>Students will prove triangle congruency by SSS, SAS, and ASA using the definition of rigid motion, applying the distance formula and using protractors.</li></ul>]]></description>
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         <pubDate>2017-07-16 05:51:21 UTC</pubDate>
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         <title>Standards</title>
         <author>camposroom104</author>
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         <description><![CDATA[<div>PRIORITY:<br>G.CO.5​ Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.<br>&nbsp;<br>G.CO.8​ Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of<br>congruence in terms of rigid motions.<br><br>SUPPORTING:<br>G.CO.1​ Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment,<br>based on the undefined notions of point, line, distance along a line, and distance around a circular arc.<br>G.CO.2​ Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).<br><br>G.CO.3​ Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and<br>reflections that carry it onto itself.<br><br>G.CO.4​ Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.<br><br>G.CO.6​ Use geometric descriptions of rigid motions to transform figures and to predict the effect of a<br>given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid<br>motions to decide if they are congruent.<br><br>G.CO.7​ Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.<br><br>G.CO.12​ Make formal geometric constructions with a variety of tools and methods (compass and<br>straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.<br><br>G.CO.13​ Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.</div>]]></description>
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         <pubDate>2017-07-16 05:51:24 UTC</pubDate>
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         <title>Tier 2</title>
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         <description><![CDATA[<div>Point<br>Line<br>Segment<br>Compass<br>Straightedge<br>Angle<br>Center<br>Triangle<br>Square<br>Hexagon<br>Circle<br>Regular<br>Endpoint<br>Midpoint<br>Congruent<br>Flip<br>Mirror<br>Shift<br>Turn<br>Move<br>Trace<br>Tracing paper<br>Patty paper<br>Counter-clockwise<br>Clockwise<br>Vertices<br>Pre-image<br>Image<br>Triangle<br>Same<br>Equal<br>Corresponding parts</div>]]></description>
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         <pubDate>2017-07-19 05:03:17 UTC</pubDate>
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         <title>Tier 3</title>
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         <description><![CDATA[<div>Center<br>Vertex<br>Bisector<br>Polygon<br>Quadrilateral<br>Isosceles<br>Scalene<br>Equilateral<br>Inscribe<br>Radius<br>Diameter<br>Perpendicular<br>Parallel<br>Distance formula<br>Pythagorean theorem<br>Triangle inequality<br>Rotation<br>Reflection<br>Translation<br>Transformation<br>Prime<br>Double-prime<br>Double transformation<br>Polygons<br>Origin<br>Side-Side-Side<br>Side-Angle-Side<br>Angle-Side-Angle<br>Congruent sides<br>Congruent angles<br>Side length<br>Angle measure<br>Protractor<br>Geometric symbols<br>Congruence symbols</div>]]></description>
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         <pubDate>2017-07-19 05:03:23 UTC</pubDate>
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         <pubDate>2017-08-06 16:43:08 UTC</pubDate>
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