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This is a 5-6 day project for students in Grades 4-6. The steps are simple and clear enough for students of all ability levels while allowing flexibility for students with geometric and artistic flair to improvise.
Students start with a circle. After drawing a radius or diameter, they measure and draw central angles which divide the circle into a specified number of equal parts. This allows them to inscribe a polygon in the circle. They then measure and mark points on the sides and connect points with markers or colored pencils to create line designs.
The project makes explicit the relationship between angles and circles. It includes 14 pages of student work on measuring and drawing angles within circles and using the clock and compass rose as a context. Students need to be able to measure and draw both angles and lines (using metric units) before beginning the project.
The designs are simple enough that students can choose their own. A detailed step-by-step procedure is outlined and illustrated. Many examples of line designs are included, as well as a procedure for creating numbering patterns which clearly show students which points need to be connected.
Common Core Standards:
4.MD.5 Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
a. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc...
4.MD.6 Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
Subject: Math, Geometry, Art
Level: Grades 4 – 6
Length/Duration: 5-6 days