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Curated OER
The Second Fundamental Theorem of Calculus
Students investigate the fundamental theorem of calculus. In this calculus lesson, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
Curated OER
The First Fundamental Theorem of Calculus
Solve problems using the fundamental theorem. For this calculus lesson, students solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
College Board
Why We Use Theorem In Calculus
Young scholars read an article to explain the reasoning behind theorems. In this calculus lesson, students understand the underlying principles of theorems and how it helps them make sense of the problems. They know why they do what they...
Curated OER
The Fundamental Theorem of Calculus and Properties of the Definite Integral
Students discuss the importance of fundamental theorems in math. In this calculus lesson plan, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how...
Curated OER
Calculus Inverse Derivative
High schoolers solve equations using a given derivative. In this calculus lesson, students identify the rise of fall of each function. They use the calculator to find the derivative.
Curated OER
Introduction to Calculus
Twelfth graders discuss attitude necessary to be successful in calculus. In this calculus instructional activity, 12th graders review famous quotes about success to help them get motivated to learn and be successful in the classroom....
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 lesson plan, 12th graders differentiate between the area under the curve and the definite integral as it related to the...
Project Maths
Introduction to Calculus
Don't let your class's heart rates rise as you introduce them to differentiation ... an inquiry-based lesson helps them keep it in check! The second lesson in a three-part series asks learners to analyze the rate of change of different...
Curated OER
Calculus at the Battle of Trafalgar
Young scholars read an article on how calculus is used in the real world. In this calculus activity, students draw a correlation between the Battle of Trafalgar and calculus. The purpose of this article is the show everyday uses for...
College Board
Beginning the Year with Local Linearity
Local linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities...
Curated OER
Applied Fundamental Theorem of Calculus
Learners apply the Fundamental Theorem of Calculus. For this calculus lesson, students identify the graphical connections between functions and accumulation functions. They use a TI to represent the functions.
Curated OER
Disc/Washer Method
Students calculate the volume of solids. In this calculus instructional activity, students apply the Disk and Washer Method to solve for the volume of three dimensional objects. They calculate the volume caused by rotation...
Curated OER
One Revolution for Robot
Young scholars calculate the revolution and circumference of circles. In this calculus lesson, students derive the formulas for their given shape. They use the d=rt to calculate the distance and rate of travel.
Curated OER
Highs and Lows
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...
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...
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...
College Board
Seeing Is Believing
Students read about AP calculus online. In this calculus lesson, students learn real life usage for calculus. They read about instructors and their experience teaching and incorporating calculus into the real world.
Curated OER
Maxima and Minima Problems
Students calculate the maxima and minima of quadratic equations. In this calculus lesson, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative.
Curated OER
Riemann Sums
Students 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.
Curated OER
Derivative Grapher
Learners graph the derivative of functions in this calculus lesson. They use the TI to graph their functions and algebraically take the derivative of each function. They then create a visual and analyze the graph.
Curated OER
Polar Graphs
Students graph polar graphs. In this calculus lesson, students convert between polar and rectangular coordinates. They graph their solution on the TI calculator and make observations.
Curated OER
Parametric Races & Slopes
Learners investigate the slopes and parametric equations. In this calculus instructional activity, students solve parametric equations with specific parameters. They relate lines and slopes based on the derivative of the equation.
Curated OER
Epsilon-Delta Window Challenge
Students graph functions and analyze them. In this calculus instructional activity, students define limit formally using Epsilon-Delta. They use the TI to graph the function and analyze it.
Texas Instruments
A Tale of Two Lines
Students graph systems of equation. In this calculus lesson, students graph their lines on a TI calculator. They identify the point of intersection and the type of solution.
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