Exploring Discrete Mathematics
DIMACS || Leadership Program || LP Web Pages || Lesson Ideas
Created by: Judy Ann Brown LP '92
Materials: Star of David Picture or Student Worksheet
Object of the lesson:
Find the total number of triangles in the Star of David pictured at the top of the page.Content/Procedure:
- Show the students the Star of David.
- Talk about the different sizes of triangles that they see.
- Help students develop an appropriate vocabulary to discuss the triangles. For example, a size 1 triangle could mean the smallest triangle, while size 2 would refer to the triangles that are made up of 4 small triangles.
- Have students count the triangles of each size and add them to find the total number of triangles.
- You might also give the students a copy of the student worksheet and have them color a different triangle on each star. Mathematical Content:
The material in this lesson addresses the following 1989 NCTM Standards:Extensions:
- Standard 1: Mathematics as Problem Solving: [K-4] and [5-8] and [9-12]
- Standard 3: Mathematics as Reasoning: [K-4] and [5-8] and [9-12]
- Standard 4: Mathematical Connections: [K-4] and [5-8] and [9-12]
- Standard 9: Geometry and Spatial Sense [K-4]
- Standard 12: Geometry [5-8]
- Standard 12: Discrete Mathematics [9-12]
- Standard 13: Patterns and Relationships: [K-4]
- Count all the quadrilaterals in the star.
- Count all the hexagons in the star.
- Hughes, Silver, Math on Display, Creative Publications, 1981.
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Web page created by Judy Ann Brown on Friday, December 12, 1997.