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Geometry and Spatial Sense, Grades 4 to 6 - EduGains

Geometry and Spatial Sense, Grades 4 to 6 - EduGains

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INSTRUCTIONAL<br />

GROUPING:<br />

pairs<br />

120<br />

MATH LANGUAGE<br />

• reflection<br />

• congruent<br />

• symmetry<br />

• predictions<br />

• Mira<br />

• triangle<br />

• square<br />

• rectangle<br />

• rhombus<br />

• hexagon<br />

• circle<br />

• pentagon<br />

• parallelogram<br />

INSTRUCTIONAL SEqUENCING<br />

This learning activity provides an introduction <strong>to</strong> the term symmetry <strong>and</strong> the use of a line of<br />

reflection <strong>to</strong> create symmetrical designs. Before beginning this activity, students should review<br />

the meaning of congruence.<br />

ABOUT THE MATH<br />

Rich <strong>and</strong> appropriate experiences help children connect mathematics with their everyday world<br />

<strong>and</strong> develop the spatial reasoning skills necessary <strong>to</strong> be successful in <strong>and</strong> out of school. This<br />

activity provides opportunities for students <strong>to</strong> represent <strong>and</strong> “see” the mathematical ideas<br />

associated with reflections.<br />

GETTING STARTED<br />

Have students draw a design <strong>to</strong> the left or the right of the line of reflection on Mov4.BLM1:<br />

Design Reflection. Tell students that the design must <strong>to</strong>uch the line in some way. When they<br />

have finished, they should make a reflection drawing on the opposite side of the line. They<br />

should use a Mira or fold the paper <strong>to</strong> check their work. Lead a brief class discussion <strong>to</strong> con-<br />

sider the following questions:<br />

• “What strategies did you use <strong>to</strong> create the reflection?”<br />

• “How can you tell if your second drawing is a reflection?”<br />

• “What is symmetry?”<br />

• “Would you do anything different the next time?”<br />

Introduce Mov4.BLM2: Hit the Target <strong>and</strong> explain <strong>to</strong> the students the rules on it.<br />

WORKING ON IT<br />

Have students play the game in groups of four (two versus two) <strong>to</strong> allow for discussion <strong>and</strong><br />

collaboration. Provide each student pair with a copy of Mov4.BLM2: Hit the Target, a ruler,<br />

<strong>and</strong> a Mira. As students play the game, observe the various strategies they use. Pose questions<br />

<strong>to</strong> help students think about their strategies:<br />

<strong>Geometry</strong> <strong>and</strong> <strong>Spatial</strong> <strong>Sense</strong>, <strong>Grades</strong> 4 <strong>to</strong> 6

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