In this super secret number puzzle, students will practice working with finding approximations of the area between a curve and the x-axis. Students should be familiar with Riemann Sums (Left, Right, and Midpoint) and the Trapezoidal Rule.
Students find the answers to each of the six questions and
This is an extra lesson in a ten-lesson unit on Integration for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus. Every lesson is presented with a set of Guided Student Notes. Teachers also have the benefit of a fully-editable SMART Board® lesson for presentation and d
In this packet you will find a booklet that you can print and use for students to learn about Riemann Sums and the Trapezoidal Rule. This booklet would best be used as scaffolded notes. There is something about having all of their notes in a little book that students love Much more exciting than
In this packet, you will find a set of 9 problems that students can use to practice working with Riemann Sums and the Trapezoidal Rule.In order to be successful with this packet, students should be familiar with left, right, and midpoint Riemann Sums and the Trapezoidal Rule. They should also be abl
Calculus students practice using the Trapezoid Rule to approximate the areas between curves and the x-axis in this engaging, self-checking, no-prep Circuit Activity. The digital version uses Google Forms. The printable version is a non-editable pdf. For the teacher's convenience, the worked solution
Calculus Riemann Sums and Trapezoidal Rule
This is a four page handout that I use in my calculus class to give several examples of Riemann Sum and Trapezoidal Rule Problems.
A problem with a table is also included.
The entire file is included in the preview so you can determine if you like it bef
In this google form, you will find two six question assessments (12 questions total) that you can use to help your students practice working with Riemann Sums and the Trapezoidal Rule. In order to be successful with these questions, students should be familiar with left, right, and midpoint Riemann
This is a set of 9 problems that students can use to practice working with Riemann Sums and the Trapezoidal Rule. In order to be successful with this sheet, students should know how to work with left hand, right hand, and midpoint Riemann Sums. They should be familiar with working with these ideas
This Trapezoidal Rule packet contains notes, examples and a practice test (with solutions). Topics include Trapezoid formulas, area, table of values, graphing, concavity, and definite integrals. ***NOTE: The free preview file is EXACTLY the same as the product file. If you'd like to pay for the pack
This resource on Calculus Integration Trapezoidal Rule includes three parts to help your students understand and use the Trapezoidal Rule for Numerical Integration. This topic is found in the Integration / Area Unit, usually in Unit 4, for College Calculus 1 or Unit 6 - Integration and Accumulation
Classwork packet for area approximation techniques: Riemann Sums, Trapezoidal Rule/Sum. Student will find these approximations algebraically, graphically, and numerically (table of data).
Message me for a free copy of the answer key!
This activity sheet has 15 conceptually based questions on using the trapezoidal Rule for approximating definite integrals. One exercise has the students note the relationship between the trapezoidal rule with equal intervals and the right Riemann sum and the left Riemann sum. Several exercises r
This test covers finding indefinite integrals, evaluating a sum using sigma notation, evaluating an integral by the limit definition, evaluating definite integrals, trapezoidal, and Simpson's rule. Elizabeth Welch
This multiple choice quiz is over the fundamental theorem of calculus, finding general and particular solutions to differential equations, Reimann sums and the trapezoidal rule, the second fundamental theorem of calculus.
This document includes two forms of the 12 question quiz and the answer keys.
This is an introductory lesson to help students learn approximation techiniques for definite integrals. Left, Right, and Midpoint Riemann sums are included, as well as the Trapezoidal rule. Students are initially given functional values in chart form, then later provided three functions to evaluat
Approximating Area with Riemann Sums Lesson:Your AP Calculus students will understand the "area under the curve" problem of calculus. They will explore left-hand sums, right-hand sums, midpoint sums, and the trapezoidal rule. These examples are presented in graphical, numerical, and tabular formats
This is a follow-up activity to the lesson "Approximation Techniques for Definite Integrals" which includes application problems for students to practice their learning and intepret solutions in context. In addition to calculating left and right Reimann sums, and utilizing the trapezoidal rule, stu
Calculus: Definite Integral - Warm-Ups
UNIT 6 – Includes 13 video links and warm-ups on the following topics:
• Left and Right Rectangular Approximation
• Riemann Sums
• Area Under a Function
• Integration on a Calculator
• Rules of Definite Integrals
• Finding and Integral Using Antiderivatives
Two free-response questions modeling the AP Calculus free-response questions. I am not affiliated with College Board in any context but the questions are similar in style to a typical question on the exam. Question 1 focuses on derivatives, tangent lines and concavity. Question 2 focuses on rates, a