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Slope Fields
Twelfth graders define and sketch slope fields. In this calculus instructional activity, 12th graders investigate solving differential equations through slope field graphs and algebraic equations. They use slope fields to check their...
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Total Distance versus Displacement
Twelfth graders differentiate between total distance and displacement. For 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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Volumes of Solids and Revolution
Students find the volume under a curve using the washer method. In this calculus lesson, students investigate solids and calculate the volume of an object rotation using the washer method. They investigate solids that rotate around x and...
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Length of an Arc
Twelfth graders define an arc and find its length. In this calculus lesson plan, 12th graders roll out a circle and measure its length using the same method of a triangle and its hypotenuse. They apply the Pythagorean Theorem to some...
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Integration By Parts
Twelfth graders define integration by parts and solve integrals. In this calculus lesson, 12th graders integrate functions using the product rule. They work example problems with the teacher before doing it on their own.
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Integrals with odd powers of secant and tangent
Twelfth graders solve equations containing powers of sec and tan. In this caclculus lesson, 12th graders integrate integrals that have odd powers of trig functions. They use trig substitution to solve these problems.
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Test on Sections 9.1-9.3
Learners assess their mastery of integration techniques. In this calculus lesson, students solve problems by integration by parts, long division, and inverse trig. There are 2 versions of the same test.
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Integrals involving Trig Substitution
Twelfth graders solve derivatives using trig substitution. In this trigonometry lesson, 12th graders integrate integrals by substituting trig values into the equations. They review detailed examples before solving problems on their own.
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Review of Techniques of Integration
Twelfth graders review techniques of integration. In this calculus lesson, 12th graders review integration by parts, integrals with powers, trig substitution, and simpson's rule for a chapter 8 test. They review with a right angle puzzle...
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Test on Chapter 8
Twelfth graders review integration techniques to get ready for their test. In this calculus lesson plan, 12th graders review integrals, trig substitution, integration by parts, trapezoidal rules and simpson's rule in preparation for a...
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The Law of Sines
Students define the laws of sine as it relates to a right triangle. For this trigonometry lesson, students identify the properties of sine to help then find mixing sides of a right triangle. They also solve for the missing angles.
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Equations of Lines
Students classify lines, slopes and shapes. In this calculus lesson, students calculate the midpoint, segment and equation of a circle. They also review what a slope and angle of inclination is.
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Application of Delta-Epsilon Definition of the Limit
Students create a Hexaflexagon using a formula. In this calculus lesson, students apply the definition of delta epsilon as it relates to limit to create a shape using creases. They relate the same rule to triangles and investigate angles.
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Review for Test on 3.1-3.5
Students review integrals and how they apply to solving equations. In this calculus instructional activity, students assess their knowledge of derivatives, rate of change, and lines tangent to a curve. This assignment contains two...
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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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Compound Interest and Quiz on Logs
Students discuss how money accumulates interest. In this calculus lesson, students discuss compund interest based on years of investing the money. They discuss rate per period, principal and number of periods.
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Video on Exponential Growth
Young scholars watch a video on exponential growth and discuss the different graphs. In this calculus lesson, students analyze graphs using examples from the fish population, human population and investments. They discuss compounding...
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Logarithmic Differentiation
Young scholars analyze the steps required to take the derivative of an equation. In this calculus lesson, students take the derivative of logs using the same method for regular equations. They review derivatives of sine, cosine and...
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Inverse Trigonometric Functions (Review)
Students discuss the importance of inverse functions and derivatives. In this calculus activity, students analyze inverse trig functions by solving for missing angles. They graph the functions and discuss integration by parts.
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Increasing and Decreasing Functions
Students discuss the process involved in increasing and decreasing functions. In this calculus lesson, students analyze functions based on increasing, decreasing, constant, concave up, concave down and point of inflection. They base...
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Applied Maximum Minimum Problems
Students investigate the maximum and minimum of a graph as it related to cat food. In this calculus lesson, students analyze the amount of cat food a cat consumes, identifying the maximum and minimum amount. They graph their data and...
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Applied Maxim Mininmum Problems
Students define the maximum and minimum of an equation. For this calculus lesson, students analyze point on a graph and determine when a graph is approaching a maximum or minimum. They take a Quiz after working some review problems.
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The Spider and the Fly
Students investigate maxima and minima by finding the shortest distance. In this calculus lesson, students calculate the shortest distance a bug travels to get to the other side of the tv. They analyze their findings discussing minimum...
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Displacement, Velocity, Acceleration
Twelfth graders solve problems of displacement, velocity and acceleration. In this calculus instructional activity, 12th graders are given the acceleration and asked to derive the formula for velocity. They work problems involving real...