Five pages on congruent shapes, drawn on dot paper and grid paper. Page 1 shows six pairs: some turned or flipped, one made bigger, one a different shape with the same number of squares and one with a longer side; students circle yes or no. Page 2 asks which of three shapes is congruent to the first one. Page 3 scatters ten shapes over a dot grid, and students write each one's congruent partner. Page 4 is for drawing: a congruent copy beside two shapes, and two shapes flipped over a dashed line. Page 5 puts two shapes side by side on grid paper: students write the length of every side and use the lengths to decide whether the shapes are congruent.
Hand out paper shapes and ask students to find a partner whose shape fits exactly on top of theirs, turning or flipping it if they need to. That is the test for congruent shapes: one covers the other exactly. Then show two shapes that are the same shape but different sizes and ask why they do not count.
Trace a cookie cutter, a coin or a puzzle piece twice and cut out both. Turn one over and ask whether they still match. Look for congruent things around the house: floor tiles, the panes of a window, the two shoes of a pair.
This pack supports the following Common Core State Standards for Mathematics:
© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.
Congruent shapes are the same shape and the same size, even when one is turned or flipped. Students decide whether pairs of shapes on dot paper are congruent, find congruent partners, draw congruent copies and flips, and check by comparing side lengths.
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