In this lesson, students will compare the Riemann Sum area estimates with the exact bounded area of a curve and the x-axis.
Objectives
Students will practice and discuss applications of finding the area bounded by a curve and the x-axis.
Students will apply this information to finding the area bounded by two curves.
Students will try to make a connection with how to understand these topics in both IB Mathematics and AP Calculus and on their final assessments.
Vocabulary
Riemann Sums
Underestimate
Overestimate
Definite Integrals
Bounded Areas
Concavity
About the Lesson
Students will use the subsequent pages of this TI-Nspire activity to refresh their skills on left-hand rectangle, right-hand rectangle, midpoint rectangle, and trapezoidal Riemann Sums given the bounded area between, the x-axis, and the vertical lines x = 1 and x = 3.
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