- Students will compare the circumference of a circle with the hypotenuse of a right triangle in order to compare the sizes of irrational numbers.
- Students will use measurements, formulas and calculator computations, and formulas and exact calculations to make comparisons.
- rational number
- irrational number
- real number
- decimal approximation
About the Lesson
This lesson involves manipulating the radius of a circle and the sides of a right triangle in an attempt to set the circumference of the circle equal to the hypotenuse of the right triangle
As a result, students will:
- Unwrap the circle alongside the hypotenuse.
- Use measurements to find decimal approximations of lengths in order to compare them.
- Use the circumference formula and the Pythagorean theorem to find decimal approximations of the lengths using a calculator.
- Use the formulas to find exact lengths.