Describe learning about symmetry, congruence, and similarity for elementary school children

What will be an ideal response?


Complete answers will include information about instruction for symmetry, congruence, and similarity. Symmetry can be introduced with examples from nature, art, and pictures of familiar objects. It can be used as a starting point for integrating culture into mathematics lessons. Folding is a means of testing for line symmetry, exploring parallelograms provides examples and non-examples of symmetry, and figures can be classified according to the number of lines of symmetry in each. Congruent figures have the same size and the same shape. Superimposing figures is a way for children to test congruency. Another is by measuring sides and angles to identify that each shape has corresponding parts. Similar figures have the same shape but not necessarily the same size. Enlarging or reducing a picture on a photocopying machine is an example of a similar figure. Congruent and similar shapes can be constructed on geoboards and graph paper.

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