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Derivative Analysis

For Teachers 9th - 12th Standards
Students analyze the derivative of a graph. In this calculus lesson plan, students identify the different behavior of a graph. They label concavity of the graphs as increasing or decreasing.
Lesson Plan
Curated OER

Optimization

For Teachers 9th - 12th Standards
Learners identify the critical points to a function. In this calculus lesson, students perform optimization of functions. They use the TI to create a visual of the graph.
Lesson Plan
Curated OER

Elevator Height as Integral of Velocity

For Teachers 9th - 12th Standards
Pupils investigate integrals and their relationship to velocity in this calculus instructional activity. They use the idea of a moving elevator to explore vertical motion and use the TI to help them create a visual.
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Integration By Substitution

For Teachers 9th - 12th Standards
Young scholars calculate the solution using integrals in this calculus lesson. They use the TI to create a visual of how to compute integrals. Learners also use substitution by integration and all its properties.
Lesson Plan
Texas Instruments

Integration By Parts

For Teachers 9th - 12th Standards
Pupils solve problems using integration by parts in this calculus lesson. Learners apply the product rule and integration by parts. They graph the equation and use the TI to observe the integration process.
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Definite Integral

For Teachers 9th - 12th Standards
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.
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Riemann Sums

For Teachers 10th - 12th Standards
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.
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Curated OER

Solids of Revolution - Disks

For Teachers 9th - 12th Standards
Young mathematicians solve the volume using the disk method in this calculus lesson. They revolve a graph around the x-axis and calculate the volume. They use the TI to see the revolving around the x-axis and create a virtual cross...
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Curated OER

Riemann Rectangle Errors

For Teachers 9th - 12th Standards
Young scholars 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.
Lesson Plan
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Piecewise Linear Integral

For Teachers 9th - 12th Standards
Young mathematicians solve and graph piecewise functions in this calculus instructional activity. They integrate linear functions containing restrictions and graph their answers using the TI.
Lesson Plan
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The First Fundamental Theorem of Calculus

For Teachers 9th - 12th Standards
Solve problems using the fundamental theorem. In this calculus lesson, high schoolers solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
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The Second Fundamental Theorem of Calculus

For Teachers 10th - 12th Standards
Students investigate the fundamental theorem of calculus. In this calculus instructional activity, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
Lesson Plan
Curated OER

Torricelli's Law

For Teachers 9th - 12th Standards
Investigate velocity using Torricelli's Law! The class will have a blast solving problems involving velocity and their related equations. They create an equation to represent the flow of the water through a tank. Super helpful tips on...
Lesson Plan
Curated OER

Exponential Functions and the Natural Logarithm

For Teachers 8th - 12th Standards
Students solve exponential and log functions. In this algebra instructional activity, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs. 
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Curated OER

Euler's Method Introduction

For Teachers 9th - 12th Standards
Young mathematicians define and use Euler's method to solve problems in this calculus lesson. Learners visualize graphs and solve differential equations. They create these visuals on the TI calculator.
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Infestation to Extermination

For Teachers 9th - 12th Standards
Students solve problems with exponential growth and decay. In this calculus instructional activity, students relate exponential functions to infestation and extermination. They take the derivative to find their answer.
Lesson Plan
Curated OER

Taylor Polynomial Examples

For Teachers 9th - 12th Standards
Students graph Taylor polynomials. In this calculus instructional activity, students relate accuracy of a Taylor polynomial to the degree of the equation. They graph their polynomials using the TI calculator.
Lesson Plan
Curated OER

Limit of a Sequence

For Teachers 10th - 12th Standards
Young scholars solve problems using limits in this calculus lesson. They calculate the solution to a problem by substituting in positive integers and relate the sequence output as it relates to the limit of a function.
Lesson Plan
Texas Instruments

Convergence of Taylor Series

For Teachers 9th - 12th Standards
Students analyze taylor series for convergence. In this calculus lesson, students analyze the graph of a taylor series as it relates to functions. They use the TI calculator to graph and observe the different series. 
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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.
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Parametric Races & Slopes

For Teachers 9th - 12th Standards
Learners investigate the slopes and parametric equations. In this calculus lesson, students solve parametric equations with specific parameters. They relate lines and slopes based on the derivative of the equation.
Lesson Plan
Texas Instruments

Variables and Expressions

For Teachers 9th - 12th Standards
Students solve equations by writing expressions. In this algebra lesson, students identify the different values for each variable. They use the navigator to see how to solve equations.
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Curated OER

Distributive Property

For Teachers 9th - 12th Standards
Students solve problems using distribution. In this algebra lesson, students factor equations using the distributive property. They graph their solution on a graph.
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Checking Equivalence

For Teachers 9th - 12th Standards
High schoolers solve equations. In this calculus instructional activity, students compare equations and identify equivalencies. They compare and approximate fractions and decimals.

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