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Integration Formulas
Twelfth graders review differential formulas and find their corresponding integration formula. In this calculus lesson, 12th graders review differential and integral formulas as it pertaining to solving calculus problems. They develop...
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Total Distance versus Displacement
Twelfth graders differentiate between total distance and displacement. In this calculus lesson, 12th graders rewrite word problems using calculus terminology and solve for distance in miles per hour. They analyze and solve word problems...
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Review for Test on Derivatives.
Students review derivatives and equations for their test. In this calculus lesson, students review average rate, parametric equations, tangent line to a curve and value of a derivative to prepare and show mastery on a chapter test. They...
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Proof by Induction
Twelfth graders define and prove theorems using induction. In this calculus instructional activity, 12th graders differentiate between inductive reasoning and deductive reasoning. They review sigma notations and work proofs by induction.
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Slope Fields
Twelfth graders define and sketch slope fields. In this calculus lesson, 12th graders investigate solving differential equations through slope field graphs and algebraic equations. They use slope fields to check their work for the right...
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Zeros of a Cubic
Mathematicians explore cubic functions by learning how to investigate the relationship between the x-coordinates of the three zeros of a cubic function. The lesson also contains an application of differentiation.
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Rules For Differentiation
Students investigate the concepts related to derivatives tat include the Power Rule and then apply the appropriate derivative formula to solve the different problems. They practice reading the rules of derivatives included in the lesson...
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Roller Coaster Robot
Young scholars 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.
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Euler's Method
Learners identify Euler's method of graphing in this calculus activity. They approximate values of a function and check their work using EM. They also differentiate equations at an exact point.
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Simple Harmonic Motion
Students solve problems involving graphs. In this calculus lesson plan, students relate harmonic motion to velocity. They discuss the derivative and the effect on the functions created.
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Secant Line Approximation of the Tangent Line
Pupils perform operation with secant and tangent lines. In this calculus lesson, students find the derivative and relate it to the slope of a line. They differentiate between secant and tangent as they intersect a circle, using Cabri.
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What is an Antiderivative? Slope Fields
Students take the derivative of a function. In this calculus lesson, students define slope fields and what they are used for. They relate slope fields to the real world.
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Product Rule
Students define the product rule and use it to solve problems. In this calculus lesson plan, students review rules they learned and memorize the new rules as it relates to derivatives. They solve problems through differentiation by...
National Security Agency
Multiple Representations of Limits
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit.
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The Exact Differential
Students integrate functions using u substitution. In this integrating functions using u substitution lesson, students integrate functions by setting part of the function equal to u and the other part equal to du. Students integrate...
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Confectionery Delight
High schoolers explore the problem of maximizing the volume of a box by making a physical model and observing how changes in the orientation of the paper changes the volume. They use the symbolic capacity of their calculators and...
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Screaming for Ice Cream
Mathematicians investigate maximizing volume by learning to explore the problem in which they seek to maximize the volume of a cone. Students solve the problem symbolically, graphically, and through the use of integration or...
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Lines in the Plane
Learners differentiate between parallel and perpendicular lines. In this algebra lesson, students graph linear equations using the slope intercept form. They classify lines based on their slopes.
Kenan Fellows
Using Motion Sensors to Explore Graph Sketching
Get moving to a better understanding of graphs of derivatives. Using motion sensors, scholars vary their velocities to create graphs of the first derivative of a function. The activity challenges groups to first create a script of the...
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Torricelli's Law
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...
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Local Linearity
In order to investigate local linearity, students graph the function on the TI-calculator and zoom to observe the change in slope on the line. They incorporate technology to visualize these problems.
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Absolute Maximum and Minimum
Students calculate the maximum and minimum of each function. In this algebra lesson, students collect and graph data to analyze it. They differentiate between the absolute max and min and the maxima and minima of each function.
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Combination and Permutations
Students decide when to use computation and permutation to solve problems. For this algebra lesson, students apply the correct method to solve complex set of events. They differentiate between dependent and independent events.
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Race The Rapper: Slopes
Students calculate the slope of the equation In this algebra lesson, students graph coordinate pairs of linear equations and identify the relationship between x and y values and slope. They differentiate between functions and relations....