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MT-A141 PreCalculus: Worksheet 6.5/6.6
In this precalculus worksheet, learners investigate functions and determine which functions are sinusoids. They estimate the amplitude, phase shift, and period of each function. Students explore the sums of sine and cosine functions....
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Derivatives
In this derivatives learning exercise, 11th graders solve and complete 2 various types of problems. First, they use the definition of a derivative to find the variable expression shown for each function. Then, students write the equation...
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Numerical Analysis: Successive Intervals
In this successive interval worksheet, students find the approximation of a root, using the Bisection Algorithm. They identify intervals, and use algebraic manipulation to identify functions that have a fixed point.
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Precalculus Test
In this calculus activity, learners match cosine values with sine values. They solve trigonometric equations and graph functions. There are 20 questions with a bonus question.
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Worksheet 11 - Points of Discontinuity
In this points of discontinuity worksheet, students observe graphs and label them as points of discontinuity and non-differentiability. They identify the derivatives of functions. This one-page worksheet contains five multi-step problems.
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Ellipses and Kepler's First Law
The class examines graphs in the form r = F(¿¿) in polar coordinates (r, ¿¿), in particular with the circle, ellipse and other conic sections. They determine the nature of an ellipse by studying the role of the semimajor axis and...
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Exploring Function Graphs
Tenth graders investigate three different sets of data that relate temperature to another variable in the physical world. These illustrate linear, inverse and exponential relationships.
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Precalculus Test 3 (4.4-4.5)
For this precalculus test, students select the best answer from 8 multiple choice problems. They solve 4 short answer problems and graph one cycle of each of four equations.
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Oodles of Poodles
Students solve equations by graphing. In this algebra lesson, students differentiate between functions and relations. They use the TI to graph their equation and analyze the graph.
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The Apple Orchard Problem
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard instructional activity, students collect data in order to solve the apple orchard problem...
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Conduction, Convection, Radiation, Oh My!
Students draw a line graph, and use graphing as a tool to discover more about conduction, convection and radiation. They should design their own experiment using heat sensitive paper to show they explain these 3 processes.
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AP Calculus Practice Exam
In this calculus learning exercise, 12th graders assess their knowledge of functions, integrals, trigonometric functions, derivatives, and limits. The four page learning exercise contains twenty-eight multiple choice questions. Answers...
NASA
Simulating Weightlessness
Floating across the top. Class groups examine the parabolas, written as parametric equations, that model the flight path of NASA's C-9 as it simulates weightlessness. They continue their exploration by changing the parameters to...
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Trigonometry Practice
In this trig worksheet, learners draw graphs of trig functions and identify the cycle of the function. They discuss period and phase shift. There are 9 questions with an answer key.
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AP Calculus Practice Exam
In this calculus learning exercise, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
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TI-89 Activities for PreCalculus and AP Calculus
Using the TI-89 calculator, high schoolers 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...
Center for Innovation in Mathematics Teaching
Trigonometry
This unit covers the basic trigonometry including understanding radians, how to convert between radians and degrees, the area of a circle subtended by an angle, basic properties and graphs of sine, cosine, tangent, and solving...
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Lab 4: Integration by Substitution
In this integration worksheet, students transform antiderivatives and integrals by using substitution functions. They sketch graphs of two antiderivatives and describe their relationship. Students use trigonometric identities to find the...
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PreCalculus Worksheet 8.4
In this precalculus instructional activity, 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...
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MT-A141 PreCalculus: Worksheet 6.4
In this precalculus worksheet, students predict the graph of given functions and draw conclusions about each one. Students define a transformation, and determine the amplitude, period, phase shift and vertical shift of given problems. ...
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Worksheet Five - Limits
In this limit worksheet, students use algebra to compute limits. They find the slope of the secant line and find a formula giving the slope of the secant line. This one-page worksheet contains six multi-step problems, with answers.
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Right Triangles and The Unit Circle
Young scholars solve right triangles using trigonometry. In this geometry instructional activity, students use the unit circle to identify different trig values. They identify the six trigonometric identities.
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The Corner Problem
Students explore the concept of the corner problem. In this corner problem lesson, students use the TI-NSpire to determine the maximum length a rod can be and still pass horizontally around a corner. Students use similar triangles to...
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High and Low Tides
Students collect real world data from the Web regarding high and low tides at various locations in the United States. They find a function which models this data and make predictions on tide levels based on the information found.