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Court Design

Names: Shelby Brett, Sharon Egan, Rose Ann Gutting, Susan Johnson

Grade Level: 3-5 Content Area: Geometry

PA standard addressed:

2.9.3 E. Identify and draw lines of symmetry in geometric figures.

2.9.5 L. Identify properties of geometric figures.

NCTM standard addressed:

Identify and describe line and rotational symmetry and 2 and 3- dimensional shapes and designs.

Problem Name:

Design symbols

Problem:

A school has a new basketball court. The court is shown below. The principal, Ms. Symmetry, did not approve of the first symbol design. Your job is to design a different symbol to replace the old one. The symbol must contain a shape and a capital letter. Use the center court line as the line of symmetry.

Directions:

For full credit, you must do the following for the symbol design:

· Draw the symbol so that the letter and shape share the same line of symmetry. The line of symmetry must be the center court line of the basketball court.

· The shape must be a simple, closed figure.

Write an explanation stating the mathematical reason(s) for your choices.

Center court line

Problem Solution:

Acceptable letters may include:

A B C D E H I K M O T U V W X Y

Possible shapes may include, but are not limited to:

circle, square, rectangle, trapezoid, oval, heart, shield, rhombus, pentagon, hexagon, octagon, cross, and triangle.

The placement of the letter and shape must be such that they share the same center court line of symmetry.

The explanation might include a definition of line symmetry. The student should also justify why they chose the letter and shape that they drew.

Specific Rubric:

5: Advanced Understanding

· Student provides both the symmetrical shape and letter on the same line of symmetry (center-court). Student gives an explanation of the line of symmetry.

4: Satisfactory Understanding

· Student provides both the symmetrical shape and letter on the same line of symmetry (center-court). Some part of the explanation may be omitted.

3: Almost Satisfactory Understanding

· Student provides both symmetrical shape and letter on the same line of symmetry (center-court). Explanation is missing.

· Student provides both symmetrical shape and letter. One letter or shape is incorrectly placed on the line of symmetry, some explanation is provided.

2: Partial Understanding

· Student provides both symmetrical shape and letter. Either letter or shape is incorrectly placed, no explanation is provided.

· Student provides either the symmetrical shape or the letter on the line of symmetry (center-court). Partial or no explanation is provided.

1: Minimal Understanding

· Student provides both symmetrical shape and letter. Both letter and shape are not on the line of symmetry. No explanation is provided.

· Student provides either the symmetrical shape or the letter. It may not be on the line of symmetry (center-court). Partial or no explanation is provided.

0: Incorrect

· Student provides both incorrect letter and shape. Symbol may not be on the line of symmetry. An explanation was attempted.

· Incorrect answer in which the student attempts the task incorrectly or gives an incorrect or incomplete answer with an incorrect explanation or no explanation.

· Off-task responses, blank responses, question marks and “I don’t know”

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