The Sierpinski Triangle Fractivity addresses several of the New Mexico State Content Standards for Math and Art education.
K-4 Benchmark: Understand patterns, relations, and functions.
Performance Standard: Recognize, reproduce, describe, extend, and create repeating and growing patterns, and translate from one representation to another.
K-4 Benchmark: Use mathematical models to represent and understand quantitative relationships.
Performance Standard: Solve problems involving proportional relationships
5-8 Benchmark: Understand patterns, relations, and functions.
Identify, describe, and continue patterns presented in a variety of formats
K-4 Benchmark: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
Performance Standard: Identify and describe the attributes of common figures in a plane and common objects in space: sort, describe, and analyze plane and solid geometric shapes (e.g., circle, triangle, square, rectangle, sphere, pyramid, cube, rectangular prism) based on various attributes (e.g., faces, edges, and corners).
Performance Standard: Identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes:
• build, draw, create, and describe geometric objects
• identify and compare congruent and similar figures
K-4 Benchmark: Use visualization, spatial reasoning, and geometric modeling to solve problems.
Performance Standard: Relate geometric ideas to numbers
Performance Standard: Visualize, build, and draw geometric objects
K-4 Benchmark: Apply appropriate techniques, tools, and formulas to determine measurements.
Performance Standard: Estimate measurements and develop precision in measuring objects.
5-8 Benchmark: Apply transformations and use symmetry to analyze mathematical situations.
Performance Standard: Describe and perform single and multiple transformations that include rotation, reflection, translation, and dilation (i.e., shrink or magnify) to two-dimensional figures.
Standard 1: Learn and develop the essential skills and technical demands unique to dance, music,
theatre/drama, and visual arts.
K-4 Benchmark: Participate in the process of making art to understand the elements of art: line, shape,
form, color, and texture.
1. Identify and/or make art using different materials (such as watercolor, tempera,
2. Identify the elements of design (line, color, shape, texture, pattern, space, value) as found in the environment and in art.
Content Standard 2: Use dance, music, theatre/drama, and visual arts to express ideas.
K-4 Benchmark: Complete, discuss and display one’s own original works of art.
5-8 Benchmark: Apply elements of art and principles of design to communicate ideas.