Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...

Your young bankers compare earning interest accumulated yearly and monthly to decide which method most increases their balance. Using an exponential function to model the bank balance affords the learners more practice connecting...

Just because we can't see it doesn't mean it isn't there! A growing concern for environmental scientists is toxic nanoparticles in our air and water. Young scholars conduct an experiment to demonstrate how these particles can cross our...

In this activity, students examine functions defined by a definite integral. They create tables and graphs for integration functions. They understand the foundation of the Fundamental Theorem of Calculus.

In this activity, students explore the connection between an accumulation function, one defined by a definite integral, and the integrand. They also discover that the derivative of the accumulator is the integrand.

Students learn how to generate a table of values showing the accumulated amounts of a sum of money compounded over n periods. They graph these values and learn how to determine the accumulated amount corresponding to any given period.

Students use the calculator to determine the amount of money that will accumulate in a savings account, if every month a certain sum is deposited in the account. They explore the use of the constant function key on the calculator to make...