Old Dominion University
Introduction to Calculus
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
Howard County Schools
Building a Playground
Scholars crave practical application. Let them use the different models of a quadratic function to plan the size and shape of a school playground. They convert between the different forms and maximize area.
West Contra Costa Unified School District
Factoring Quadratic Expressions
Factor in different strategies in a lesson for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they can...
Curated OER
Finding Area Using Geometry, Integrals, and Riemann Sums
In this area worksheet, students calculate area in five problems using geometry and integrals and find patterns using Riemann sums in one problem.
Curated OER
Applications of Definite Integrals
In this definite integral worksheet, students explore different types of integrals and determine the length of a curve. This one-page worksheet contains eight multi-step problems.
Curated OER
Exploration 3: Introduction to Definite Integrals
For this integral worksheet, students estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page worksheet contains approximately 40 problems.
Curated OER
Exploration 4: Definite Integrals by Trapezoidal Rule
In this integral activity, students geometrically estimate distance in given problems. They use the trapezoidal rule to determine definite integrals. Students explore distance and velocity. This three-page activity contains...
Curated OER
Comparing Improper Integrals
In this math worksheet, students compare the improper integrals. They determine if each integral converges or diverges. The improper integral test is read and applied.
Curated OER
Integrating Special Functions
In this math activity, students practice reading the examples of integrating special functions. The examples have the formulas included.
Curated OER
Area Explorations
Students explore the area of rectangles. They practice finding area by playing an onliine computer activity where they calculate the area of a rectangle to solve a problem.
Curated OER
A.P. Calculus Test Covering Limits, Derivatives, and Integrals
For this calculus worksheet, students solve ten multiple-choice questions and eleven free-response questions covering limits, derivatives, and integrals. Students should have covered trig limits prior to this worksheet.
Curated OER
Area Under A Curve
Calculus students use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and Trapezoidal rules...
Curated OER
Worksheet 35-Spring 1996
In this math worksheet, students sketch six integrals and rewrite the equations as double integrals with reversed integration orders. Students evaluate four integrals. They sketch all points on a coordinate plane when given complex...
Curated OER
Worksheet 29-Fall 1995
For this math worksheet, students label each of six integrals as true or false. They evaluate twelve integrals. Students evaluate the graph of a function.
CK-12 Foundation
Volume by Disks: The Vase Case
Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...
Project Maths
Integral Calculus
From derivatives to antiderivatives and back again. Building on the second lesson plan of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function...
Curated OER
Discussion Sheet 8: Area
In this area activity, students use integration to derive the equation for the area and volume of given three-dimensional figures. They determine the area of regions inside graphs, and evaluate integrals. This one-page activity...
Curated OER
Worksheet 4: Evaluating Integrals
In this integral worksheet, students evaluate integrals, set up definite integrals, determine distance, mass and volume, differentiate functions, and identify continuous functions This two-page worksheet contains approximately...
Curated OER
Challenge Sheet 9: Improper Integrals
In this integral worksheet, students evaluate improper integrals, use a convergence test to determine if the integral will converge or diverge and consider the area of a region bounded by a polygon. This one-page worksheet contains...
Curated OER
Connecting Riemann Sums to the Definite Integrals
In this math learning exercise, students examine the relationships between Riemann sums and definite integrals. They define the Riemann sums and find area using them.
Curated OER
Challenge Sheet 7: Area and Cross-Sections
In this area worksheet, students set up integrals which evaluate the area of a region bounded by graphs. they use vertical and horizontal cross-sections. This two-page worksheet contains seven multi-step problems.
Curated OER
Discussion Sheet 9: Volume and Area
In this volume and area activity, students find the volume and area of three-dimensional figures. They consider regions bounded by graphs, use integration to derive a formula, and use the disc and shell methods for volume. This...
Curated OER
Area of Cross-Sections
In this area worksheet, students find the area of regions bounded by graphs. They set up integral equations for determining the vertical cross-section and the horizontal cross-section of a given figure. This one-page worksheet contains...
Curated OER
Definite Integral
Learners investigate the intervals represented by a function in this calculus lesson. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to analyze it.