Math Examples: Area with Pattern Blocks: Example 10

Topic

Geometry

Description

This example features a triangle with an area of 1 square unit and a similar composite figure as in Example 9, consisting of a central square and four surrounding triangles forming a star-like shape. The triangle's side length equals that of the square, contributing an additional 4/sqrt(3) units for a total area expressed as (4 * sqrt(3) + 4)/sqrt(3) square units.

The use of pattern blocks aids in understanding geometric concepts such as area by allowing physical manipulation of shapes. This series highlights how various configurations can enhance comprehension through spatial relationships and arithmetic operations involving areas.

The presence of multiple worked-out examples is crucial for students' comprehensive understanding of geometric principles. Each example presents unique challenges that encourage creative application and recognition of consistent patterns across different scenarios.

Teacher Script: "Here's another star-like shape around our central triangle. The squares have sides equal to those triangles'. Let's calculate how much more space these squares occupy compared to our central triangle."

For a complete collection of math examples related to Geometry click on this link: Math Examples: Area with Pattern Blocks Collection.