Lesson Plan
Curated OER

The Second Fundamental Theorem of Calculus

For Teachers 10th - 12th Standards
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.
Lesson Plan
Curated OER

The First Fundamental Theorem of Calculus

For Teachers 9th - 12th Standards
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.
AP Test Prep
College Board

Why We Use Theorem In Calculus

For Teachers 11th - Higher Ed
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...
Lesson Plan
Curated OER

The Fundamental Theorem of Calculus and Properties of the Definite Integral

For Teachers 11th - Higher Ed
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...
Lesson Plan
Curated OER

Calculus Inverse Derivative

For Teachers 9th - 12th Standards
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.
Lesson Plan
Curated OER

Introduction to Calculus

For Teachers 12th
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....
Lesson Plan
Curated OER

The Fundamental Theorem of Calculus and Area Under the Curve

For Teachers 12th
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...
Lesson Plan
Project Maths

Introduction to Calculus

For Teachers 10th - Higher Ed Standards
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...
Lesson Plan
Curated OER

Calculus at the Battle of Trafalgar

For Teachers 12th - Higher Ed
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...
AP Test Prep
College Board

Beginning the Year with Local Linearity

For Teachers 10th - 12th
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...
Lesson Plan
Curated OER

Applied Fundamental Theorem of Calculus

For Teachers 9th - 12th
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.
Lesson Plan
Curated OER

Disc/Washer Method

For Teachers 8th - 10th
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...
Lesson Plan
Curated OER

One Revolution for Robot

For Teachers 8th - 12th
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.
Lesson Plan
Curated OER

Highs and Lows

For Teachers 8th - 11th
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...
Activity
Houston Area Calculus Teachers

Collecting Driving Data

For Students 11th - Higher Ed
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...
Lesson Plan
Project Maths

Integral Calculus

For Teachers 10th - Higher Ed
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...
AP Test Prep
College Board

Seeing Is Believing

For Teachers 11th - Higher Ed
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.
Lesson Plan
Curated OER

Maxima and Minima Problems

For Teachers 11th - 12th
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. 
Lesson Plan
Curated OER

Riemann Sums

For Teachers 10th - 12th Standards
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.
Lesson Plan
Curated OER

Derivative Grapher

For Teachers 9th - 12th Standards
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.
Lesson Plan
Curated OER

Polar Graphs

For Teachers 9th - 12th Standards
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.
Lesson Plan
Curated OER

Parametric Races & Slopes

For Teachers 9th - 12th Standards
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.
Lesson Plan
Curated OER

Epsilon-Delta Window Challenge

For Teachers 9th - 12th Standards
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.
Lesson Plan
Texas Instruments

A Tale of Two Lines

For Teachers 9th - 12th Standards
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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