Curated OER
Exploring the Area Under a Curve
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
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...
Curated OER
Filling The Urn
Students calculate the area under a curve. In this calculus lesson,students calculate the area by integrating the equation. They calculate the volume of cylindrical shapes created between graphs.
Curated OER
The Definite integral and Area Under a Curve
Students define integrals and explore how they relate to the areas under a curve. In this calculus lesson, students solve word problems relating curves and integrals. They sing a song to help them remember the formula for the area under...
Curated OER
The Fundamental Theorem of Calculus and Area Under the Curve
Twelfth graders review the fundamental theorem of calculus and solve for the area under the curve. In this calculus instructional activity, 12th graders differentiate between the area under the curve and the definite integral as it...
Radford University
Are Kitchen Cabinets at the Correct Height? Lessons 1-5
Here's a not-so-normal unit on normal heights. Future statisticians anonymously collect class data on female heights, weights, and shoe sizes. They then analyze the data using normal distributions, z-scores, percentiles, and the...
Curated OER
Roller Coaster Robot
Learners calculate the area under a curve. In this calculus lesson plan, students use Riemann sums to find and approximate the area under a curve. They use the derivative and differential equations to solve.
Houston Area Calculus Teachers
Collecting Driving Data
Give AP Calculus classes the opportunity to check the accuracy of their calculations! A calculus activity involves the collection of data, the application of mathematics, and the analysis of the accuracy of results. Young mathematicians...
EngageNY
Normal Distributions (part 2)
From z-scores to probability. Learners put together the concepts from the previous lessons to determine the probability of a given range of outcomes. They make predictions and interpret them in the context of the problem.
EngageNY
Using a Curve to Model a Data Distribution
Show scholars the importance of recognizing a normal curve within a set of data. Learners analyze normal curves and calculate mean and standard deviation.
Curated OER
Numerical Methods of Integration
Students calculate the area under a curve. In this calculus lesson, students estimate and calculate the area of a curve using simpson's rule and the trapazoidal rule. They review rieman sums and add to it.
Project Maths
Integral Calculus
From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...
Curated OER
Riemann Rectangle Errors
Students calculate the area under a curve. In this calculus lesson, students integrate the function to find the area under the curve. They use the Ti to create a visual of the graph.
Curated OER
Riemann Sums
Learners calculate the area under a curve. In this calculus lesson, students use Riemann Sums to find the area under a curve. They apply the boundaries of intervals as they solve for each area.
Shodor Education Foundation
InteGreat!
Take a great look at integration! Young scholars use an interactive to learn how to integrate a function. Learners input a function and view the integral as well as see a graphical representation.
Curated OER
Test on Section 6.1-6.6
Students apply their knowledge of integration on this test. In this calculus lesson, students answer question about, riemann sums, integrals and calculate area under a curve. This lesson review these concepts and includes a test for the...
Curated OER
Z-Scores
Students solve problems by identifying the percent of area under the curve. In this statistics lesson, students discuss z-scores as they calculate the different percentages under the bell curve. They calculate the standard deviation.
Curated OER
Trapezoid and Midpoint Rule
Students solve problems of area using the trapezoid and midpoint rule. In this calculus lesson, students take the derivative of the functions as they approximate the area under a curve. They calculate the exact area using the area formula.
Curated OER
Area Between Two Curves
Twelfth graders identify and find the area between two curves. In this calculus lesson, 12th graders decide what the best way is to find the shaded area between two curves using examples from previous lessons. They relate areas between...
Curated OER
Impulse/Momentum Lab
Students investigate the relationship between force and momentum using motion detectors and sensors. In this physics lesson, students graph experimental results. They calculate impulse using the area under the graph.
Curated OER
Exploring the Normal Curve Family
Students find different characteristics of the bell curve. In this statistics instructional activity, students analyze a family for a specific characteristic. They identify the shape, center, spread and area as they analyze the...
EngageNY
Modeling Riverbeds with Polynomials (part 2)
Examine the power of technology while modeling with polynomial functions. Using the website wolfram alpha, learners develop a polynomial function to model the shape of a riverbed. Ultimately, they determine the flow rate through the river.
Curated OER
Percentiles
Students analyze the bell curve and make predictions. In this statistics lesson, students calculate the percentile to the left of the curve. They then are given the percentile and create the graph from the data.
Curated OER
Thar She Blows!
Students identify the advantages and disadvantages of wind farms and turbines. They examine how weather conditions can affect their effectiveness and how engineers are trying to solve the problem. They discover how engineers use this...