Curated OER
Worksheet 29-Fall 1995
In this math worksheet, students label each of six integrals as true or false. They evaluate twelve integrals. Students evaluate the graph of a function.
Curated OER
Introduction to Fractals: Infinity, Self-Similarity and Recursion.
This instructional activity introduces students to the ideas involved in understanding fractals. They develop a sense of infinity, self-similarity and recursion and
Curated OER
What a Drag
Students learn examples of friction and drag, and suggest ways to reduce the impact of these forces. The equation that governs common frictional forces is introduced, and during a hands-on activity, students experimentally measure a...
Curated OER
Biotic and Abiotic Factors
In this biotic and abiotic factors worksheet, students complete 20 various types of questions related to biotic and abiotic factors. First, they write the vocabulary word that best completes the sentence. Then, students state an example...
Curated OER
How Far?
Students explore how different textures provide varying amounts of friction to objects moving across them. They build a tool to measure the amount of friction between a note card and various surfaces by measuring the distance that a...
Curated OER
Gravity
In this gravity activity, 8th graders complete 4 different questions related to defining gravity. First, they identify the various types of mass movement that is described in each. Then, students explain what each of the 4 types of...
Curated OER
Lesson #20 Rates of Change and Velocity
Students investigate speed. In this rate of change lesson, students complete a rate/time/distance table to determine the average m.p.h. of a given trip. They listen and follow along with the lecture and examples to determine the average...
Curated OER
The Science of Swinging
Students learn how a pendulum works in the concept of an amusement park ride. In this pendulum lesson, students are introduced to Newton's first law of motion and how it works in an amusement park ride. Continuous motion and inertia are...
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Discovering the Oasis
Fourth graders investigate riverbanks and oxbox ecosystem at the Truckee River. They observe the plants, animals, insects and water organisms located there. Students document water samples, flow and then categorize them in class. This...
Curated OER
Follow the Leader Fitness Jog/Walk
Students demonstrate the fun of jogging/walking in a creative way, work on pacing. They work cooperatively in groups.Students begin by following the teacher and later after they become comfortable and get to be leaders themselves.
Curated OER
Easter Egg Dribble
Students dribble and trap a ball with their feet using control and different directions and pathways.
Analyze Math
Analyze Math: Find Area Under Curve
Scholars examine how to find the area under and between curves using definite integrals. The tutorial consists of practice exercises and examples with solutions.
Texas Instruments
Texas Instruments: Area Under Curve
This activity will illustrate the idea of using the definite integral to represent the area bounded by a function and the x-axis.
University of Illinois
University of Illinois: The Area Under a Curve
This site explains how to find the area under of a curve.
Integrated Publishing
Integrated Publishing: Area Under a Curve
A step-by-step explanation of the formulas needed to find the area under a curve by working through an example problem.
CK-12 Foundation
Ck 12: Analysis: Area Under the Curve
[Free Registration/Login may be required to access all resource tools.] The definition of integration, using limits to calculate the area under a curve.
University of Utah
University of Utah: Java Area Applet
Nice site explaining how to find the area under a curve by using a Java applet. The applet computes the area of a figure made of rectangles which approximates the region under the given curve.
Texas Instruments
Texas Instruments: Area Under the Curve
In this activity, students explore the relationship between the area under the graph of a function and the integral of the function.
Interactive Mathematics
Interactive Mathematics: Area Under a Curve
Using integration, this tutorial demonstrates how it is possible to find the area under a curve. Several examples are provided to allow for extra practice.
Interactive Mathematics
Interactive Mathematics: Areas by Integration
This tutorial is a more in-depth look at using integrals to determine the area under a curve. Several cases are discussed, including areas of curves that occur below the x-axis and integration using vertical sums.
Texas Instruments
Texas Instruments: Programming to Find Area Under a Curve
Students will learn how to program the TI 83/84 Plus graphing calculator to approximate the area under a curve using Left,Right,Midpoint Riemann Sums, and Trapezoid Rule, and Simpson's Rule.
University of Notre Dame
University of Notre Dame: Approximating Area Under a Curve With Rectangles
PDF of examples for finding the area under a curve using rectangles.
Wolfram Research
Wolfram Math World: Area
Definitions and formulas for the computation of surface areas of triangles, rectangles, and any regular polygon. Helpful links to related pages.
Washington State University
Washington State University: Estimate the Area Under a Curve
You can have a good time with this java applet that lets you place adjustable shapes under a curve and then sums the areas to approximate the area of the curve.