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Rice University
Calculus Volume 3
See calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...
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Maximum and Minimum of Functions
In this calculus learning exercise, students are given functions and values to derive using the functions. They are asked to find the maximum, minimum and point of inflection. There are 28 questions.
Rice University
Calculus Volume 2
Delve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....
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Worksheet 6.7 MT-A141 PreCalculus
In this PreCalculus instructional activity, students explore inverse relations of sine, cosine, and tangent. They graph three functions and describe the inverse function.
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Math 53 - Review for Midterm 1
In this review for midterm, students use parametric equations to find points on a curve, explore conic sections, write vector functions, and sketch cylindrical coordinates. This two-page review contains 10 multi-step problems.
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Worksheet 22 - Spring 1996
students examine the potential of creating the involute for a circle. They use the concept to create new parametric equations. They graph the picture for each.
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Twenty Multiple Choice and Free Response Derivative Problems
In this derivative instructional activity, students solve ten multiple choice and ten free response problems. These problems include: derivatives of trig functions, tangent lines, parametric equations, and instantaneous rates of...
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Drawing Regular Polygons
Learners investigate properties of regular polygons. For this geometry lesson, your class will use a graphing calculator and parametric equations to construct regular polygons and investigate the relationship between the measure of...
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Vectors
For this vectors worksheet, students solve and complete 6 various types of problems. First, they find two unit vectors that are parallel to the given vector and illustrate. Then, students find parametric equations for the line that...
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Length of an Arc
Students compute the length of an arc and each hypotenuse in the give figure, adding them up in the end. They then develop the formula for the arc length with respect to the x-axis and the y-axis. Students also develop a formula for the...
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PreCalculus Worksheet 8.4
In this precalculus worksheet, students write numbers in their trigonometric form and compute the numbers to a given power. Students explore the parametric function and trace the roots of unity. After completing eight short answer...
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Parametric Functions and Substitutions
For this solar winds activity, students determine the strength of magnetic storms in terms of the size of the change they make in the Earth's magnetic field. This worksheet has 3 problems to solve.
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As the Wheel Turns
This is not your typical Ferris wheel problem. In this exercise, your class will combine their knowledge of sinusoidal functions as well as linear motion to come up with parametric equations that model the position of a point on the edge...
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Calculus: Graphical, Numerical, Algebraic
Learners explore the interplay between the geometric and analytic information and on the use of calculus both to predict and to explain the observed local and global behavior of a function. They write a paragraph describing any...
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BASEBALL HOME RUN
Students determine whether a hit baseball is a home run or not by utilizing parametric equations to describe the path of the ball. They assess the importance of angles and velocity needed to hit a home run. In addition, in their own...
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Worksheet 2.4/2.5: MT-A141 PreCalculus
For this precalculus worksheet, students use their graphing calculator to graph the domain and range of given terms. They write parametric equations and identify the coordinates of the points on the relation given certain terms.
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Properties of Curves
In this Calculus instructional activity, students use a graphing calculator to boost their understanding of functions and their graphs as they examine the properties of curves. The forty-two page instructional activity contains one...
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Review Problems
In this algebra worksheet, students identify functions using the domain and range. They use correct function notation to solve composition functions. There are 13 questions.
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Pre-Calculus Sudoku Puzzle
In this pre-calculus instructional activity, student solve 35 multiple choice problems and then place the answers in a Sudoku puzzle form. This instructional activity would be a great warm up or fun test review.
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Complex Analysis: Introduction to Contours
In this contour learning exercise, students compute complex valued functions of a real variable. They give examples of a parametric representation and draw a sketch of the points. This two-page learning exercise contains explanations...
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Optimization
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.
EngageNY
Designing Your Own Game
Your classes become video game designers for a day! They utilize their matrices, vectors, and transformation skills to create and design their own game images. The complex task requires learners to apply multiple concepts to create their...
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Cartesian Geometry
In this geometry worksheet, students plot coordinate pairs and connect the points to create different shapes. They give th shapes its polygon's name. They differentiate between simple functions and rectangular hyperbola.
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TI-89 Activities for PreCalculus and AP Calculus
Using the TI-89 calculator, students explore the statistical, graphical and symbolic capabilities of the TI-89. Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics...