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Graph points on the coordinate plane to solve real-world and ...

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Domain: Geometry Grade: 5<br />

Supports for Teachers<br />

Critical Background Knowledge<br />

C<strong>on</strong>ceptual:<br />

Students have an underst<strong>and</strong>ing of perpendicular lines.<br />

Students underst<strong>and</strong> <strong>the</strong> terms “vertical,” “horiz<strong>on</strong>tal,” <strong>and</strong> “intersect.”<br />

Students know how <strong>to</strong> move al<strong>on</strong>g a number line (including varied intervals).<br />

Students can explain how <strong>to</strong> move al<strong>on</strong>g paths in <strong>real</strong>-<strong>world</strong> situati<strong>on</strong>s involving distance. For example, which is<br />

far<strong>the</strong>r from <strong>the</strong> school—<strong>the</strong> grocery s<strong>to</strong>re or <strong>the</strong> post office—<strong>and</strong> in what directi<strong>on</strong> would you have <strong>to</strong> travel <strong>to</strong> get<br />

<strong>to</strong> <strong>the</strong>re.<br />

Students underst<strong>and</strong> that you begin at zero when working with a number line.<br />

Students can explain how a number line works, even if it is displayed vertically.<br />

Procedural:<br />

Students will be able <strong>to</strong> locate <str<strong>on</strong>g>points</str<strong>on</strong>g> <strong>on</strong> a number line despite its orientati<strong>on</strong>.<br />

Students can create number lines with differing intervals.<br />

Representati<strong>on</strong>al:<br />

Students can represent vertical <strong>and</strong> horiz<strong>on</strong>tal lines.<br />

Students can represent intersecting perpendicular lines.<br />

Students can create number lines.<br />

Academic Vocabulary <strong>and</strong> Notati<strong>on</strong><br />

perpendicular, right angle, intersect, vertical, horiz<strong>on</strong>tal, <strong>coordinate</strong>s, x-axis, y-axis, <strong>coordinate</strong> <strong>plane</strong>/grid, origin, x-<br />

<strong>coordinate</strong>, y-<strong>coordinate</strong>, ordered pair, intervals<br />

Instructi<strong>on</strong>al Strategies Used<br />

Create a life-size grid in <strong>the</strong> classroom <strong>on</strong> <strong>the</strong> floor using<br />

yarn <strong>to</strong> make <strong>the</strong> perpendicular axes. Label <strong>the</strong> axes. Have<br />

students physically move al<strong>on</strong>g <strong>the</strong> grid, exploring<br />

movements al<strong>on</strong>g <strong>the</strong> x-axis <strong>and</strong> <strong>the</strong> y-axis, <strong>the</strong>n discuss<br />

how that movement can be represented with ordered pairs.<br />

Use multimedia <strong>to</strong> explore grids <strong>and</strong> <strong>the</strong> use of ordered pairs<br />

(see resources for “Ordered Pairs”).<br />

Code: 5.G.1<br />

Resources Used<br />

Ordered Pairs<br />

http://www.learnalberta.ca/c<strong>on</strong>tent/me5l/html/math5.html<br />

Fly <strong>on</strong> <strong>the</strong> Ceiling, by Dr. Julie Glass<br />

ISBN: 0-679-88607-9

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