Attached is an activity, brain teaser, we created out of an idea off the internet. Answer key attached also. We purchased some small "cakes?" so the students could cut and eat the samples, after their solution on paper was close enough. The high-school students really seemed to enjoy and learn from it.
Activity; Dividing a Square Cake into 5 Equal pieces Area and Volume
Grade Level
Grades 6-12
Resource Type
Activity
Standards Alignment
Common Core State Standards
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Standards
Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).
Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
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