Deriving the Formula For the Area of a Circle
Students derive the formula for the area of a circle. They form a rectangle by partitioning a circle using construction paper and scissors.
3 Views 15 Downloads
Discovering the Formula for the Area of a Triangle
Most high schoolers are very familiar with the area of the triangle being equal to 1/2 base times the height. Here, they will develop and test their formula for the area of a triangle when given two adjacent sides and the included angle....
9th - 11th Math CCSS: Designed
Discovering the Formulas for Circumference and Area of a Circle
Find formulas using direct measurements and reconstruction. Groups use diagrams of circles and measure their circumferences. With several examples, classmates determine the constant of variation, pi. Pupils continue exploring circle...
9th - 12th Math CCSS: Designed
The Circumference of a Circle and the Area of the Region it Encloses
Bring your math class around with this task. Learners simply identify parts of a given circle, compute its radius, and estimate the circumference and area. It is a strong scaffolding exercise in preparation for applying the formulas for...
6th - 8th 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