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Hexagoning the Circle
Students explore similarity to see that the area of a circle should be a constant times the square of its radius. Students create a hexagon. Students share their designs with the class.
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Constructing a square inscribed in a circle
Here is an activity that focuses on the actual construction of the square inscribed in a circle. The lesson allows for the use of dot paper or graph paper with straight edges and protractors, or dynamic geometry software programs. After...
8th - 11th Math CCSS: Designed
Inscribing a Hexagon in a Circle
This activity is a follow-on activity to inscribing a square in a circle. The overall problem is more complex. It deals with geometric constructions, properties of triangles, and regular hexagons. The final part of the activity finds the...
9th - 11th Math CCSS: Designed
Areas of Geometric Shapes with the Same Perimeter
A triangle, square, hexagon, and circle all have a perimeter of one unit. Eighth graders must attempt to find the area of each and arrange them in order from least to greatest areas. A terrific task for applying four different area...
7th - 9th Math CCSS: Designed
Construct an Equilateral Triangle (part 2)
Triangles, triangles, and more triangles! In this second installment of a 36-part series, your young mathematicians explore two increasingly challenging constructions, requiring them to develop a way to construct three triangles that...
9th - 10th Math CCSS: Designed