Question

MATH ACTIVITY 10.4 A i Symmetries of Pattern Block Figures Purpose: Explore line and rotational symmetry using pattern block figures. Materials: Pattern Blocks in the Manipulative Kit or Virtual Manipulatives. be Virtual Manipulatives ㄧ a. 1. The first pattern block figure shown below has three lines of symmetry (dotted lines). because when the figure is folded about any of these lines, it will coincide with itself. The second figure has no lines of symmetry, as can be shown by tracing pat tern blocks and paper folding the resulting figure. Construct pattern block figures that have exactly one, two, three, and four lines of symmetry. Record your figures and lines of symmetry a. 2. A purple frame has been traced about the square pattern block at the left, and eachi corner of the frame and the corresponding corner of the square have the same letter. If the square is rotated 90° clockwise, about the center of the square, it will fit back into the frame with A moving to corner D of the frame, and D. C, and B moving to corners C, B, and A, respectively, of the frame. The square is said to have 90 rota-he tion symmetry. It also has 180°, 270, and 360 rotation symmetrics For each of these pattern block figures, determine all the rotation symmetries less than or equal to 360, and record the number of degrees for each rotation. (Suggestion: Trace each figure to form its frame.) a. AT the via 90 clockwise rotation Content Standards b. C. d. Teachers should guide students to recognize, describe, and infor- mally prove the symmetric char acteristics of designs through the materials they supply and the questions they ask. Students can use pattern blocks to create designs with line and rotational symmetry or use paper cutouts paper folding, and mirrors to investigate lines of symmetry Nacional Coundl of 3. Build figures with two or more patterm blocks to satisfy each of the following conditions fi a. Two lines of symmetry, two rotation symmetries b. Three rotation symmetries, no lines of symmetry c. Six lines of symmetry, six rotation symmetries Teaches of Mathenutics 4. A trapezoid has been attached to a hexagon in the figure at the left. a. In how many different ways can a second trapezoid be attached to this figure to lines of symmetry b. In how many different ways can one or more trapezoids be attached to this figure form a figure that has a line of symmetry? Show sketches and l to form a figure that has more than one rotation symmetry?

Answer 1

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