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The Area of a Circle
Eighth graders find the circumference and diameter of several lids, show the relationship of the two measurements and derive the formula for finding the area of a circle. For this area of a circle lesson plan, 8th graders find...
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Two Investigations of Cubic Functions
Through learning about cubic functions, high schoolers graph cubic functions on their calculator. Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic...
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Filling The Urn
Learners calculate the area under a curve. In this calculus lesson plan,students calculate the area by integrating the equation. They calculate the volume of cylindrical shapes created between graphs.
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Curve Sketching
In this calculus worksheet, students sketch a curve using a given function. They take the derivative of a function and graph it. There are 10 questions.
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Gravitational Acceleration
Students investigate the interdependence of mass and gravitational acceleration using computer simulation. In this physics lesson, students derive the formula for acceleration due to gravity. They calculate air resistance on falling...
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AP Calculus Exam Prep
Pupils practice sample questions from the AP Calculus Exam. They solve calculus problems involving bounded regions, integration, derivatives, and limits. They then answer free response and multiple choice questions on the above mentioned...
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Introduction to Conic Sections
Learners slice cones and identify the different conics formed. They then derive the formula to solve problems involving cones. Pull out the TI calculators to visualize the slicing and the different parts and properties created.
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AP Calculus Practice Exam
In this calculus activity, learners calculate the derivative, find the invertible given the derivative and review basic concepts for their AP calculus exam. There are 17 questions.
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Fundamental Theorem of Calculus
High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...
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Beyond the Blue Horizon...Advanced
In this calculating the horizon instructional activity, students solve 6 problems using algebra, derivatives and calculus to find the formula for the line-of-sight horizon, the distance along a planet, the horizon distance and the rates...
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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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Continuity and Differentiability 1
Pupils examine graphs for continuity and differentiability in this calculus lesson. They observe piecewise functions to see where continuity and differentiability come into play. Learners finish by graphing their equation on the TI...
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Newton's Method
Student approximate the roots of E using Newtons Method. In this calculus lesson, students calculate the equation of tangent a line. They use the TI to visualize the tangent line.
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Mini Exam on Calculus
In this calculus worksheet, students differentiate equations and calculate rate of change. They find the area and volume under a curve. There are 18 questions on this test.
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Maxima and Minima Problems
Students calculate the maxima and minima of quadratic equations. In this calculus instructional activity, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the...
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Areas of Trapezoids, Rhombuses and Kites
Students calculate the area of different polygons. For this geometry lesson, students find the area for trapezoids, rhombuses and kites.
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Distance Formula
Students calculate the distance between two points using the distance formula. In this geometry lesson, students derive the distance formula using the Pythagorean Theorem.
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The First Fundamental Theorem of Calculus
Solve problems using the fundamental theorem. In this calculus lesson, students solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
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Calculus Exam
In In this calculus worksheet, student solve 6 multi-step problems involving volume, intervals, acceleration, and graphing. A graphing calculator will be necessary to complete the worksheet.
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Volume and Surface Area: Which Is More?
Students explore the volume and surface area of three dimensional figures. Through the use of video, students discover three dimensional shapes, their uses in real-life applications, and methods used to calculate their volume and surface...
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Introduction to Measures of Central Tendency and Variability
Students calculate the mean, median, mode, range, and interquartile range for a set of data. They create a box and whisker plot using paper, pencil and technology.
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Finding the Area Under A Curve with Random Probability
Students explore the concept of area under a curve. In this area under a curve lesson, students find the area under a curve using the Monte Carlo method using random points and probability. Students calculate the area under the same...
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Rectilinear Motion
Twelfth graders rewrite word problems using algebraic expressions. In this calculus lesson plan, 12th graders calculate the velocity, time and acceleration while analyzing real life scenarios. They solve problems related to when the...
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Why Are Hot Things Red?
In this radiation and temperature worksheet, students use 2 methods to derive the Wein Displacement law that shows the relationship between the temperature of a body to the frequency where the Planck curve's value is at its maximum....