Calculus Approximating Area Using Riemann Sums (Unit 6 AP Calculus)

Description

⭐⭐ This AP Calculus lesson provides you with a customizable and fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for Approximating Area with Riemann Sums.⭐⭐

✅ Lesson 6.1 Approximating Area with Riemann Sums is a one-day lesson with an emphasis on Mathematical Practice 1 Implementing Mathematical Processes.

Skill 1.F: Explain how an approximated value relates to the actual value.

✅ What is included in this resource?

⭐ Guided Student Notes

⭐ Video Lesson Link for Flipped Classroom models

⭐ Google Slides®

⭐ Fully-editable SMART Board® Slides (You MUST have SMART Notebook software to open.)

⭐ Homework/Practice assignment

⭐ Daily Lesson Quiz (1 set)

⭐ Full solution sets

⭐ Fully-editable PowerPoint Files (You MUST have PowerPoint to edit.)

✅Learning Objective:

★ Use Left, Right, and Midpoint Riemann Sums and Trapezoidal Rule to estimate area under a curve.

✅ College Board® Topics:

⭐Topic 6.1: Exploring Accumulations of Change

⭐ Topic 6.2: Approximating Areas with Riemann Sums

✅ College Board® Learning Objectives:

⭐ CHA-4: Definite integrals allow us to solve problems involving the accumulation of change over an interval.

⭐CHA-4.A: Interpret the meaning of areas associated with the graph of a rate of change in context.

⭐ CHA-4.A.1 The area of the region between the graph of a rate of change function and the x-axis gives the accumulation of change.

⭐ CHA-4.A.2: In some cases, accumulation of change can be evaluated by using geometry.

⭐ LIM-5: Definite integrals can be approximated using geometric and numerical methods.

⭐ LIM-5.A: Approximate a definite integral using geometric and numerical methods

⭐ LIM-5.A.1: Definite integrals can be approximated for functions that are represented graphically, numerically, analytically, and verbally.

⭐ LIM-5.A.2: Definite integrals can be approximated using a left Riemann sum, a right Riemann sum, a midpoint Riemann sum, or a trapezoidal sum; approximations can be computed using either uniform or nonuniform partitions.

⭐ LIM-5.A.3: Definite integrals can be approximated using numerical methods, with or without technology.

⭐ LIM-5.A.4: Depending on the behavior of a function, it may be possible to determine whether an approximation for a definite integral is an underestimate or overestimate for the value of the definite integral.

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AP® is a registered trademark of the College Board® which was not involved in the creation of, and does not endorse this product.

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