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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, students 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)
In 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
Young scholars 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 lesson, students collect data in order to solve the apple orchard problem presented. Students plot...
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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 worksheet, 12th graders assess their knowledge of functions, integrals, trigonometric functions, derivatives, and limits. The four page worksheet contains twenty-eight multiple choice questions. Answers are not provided.
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Trigonometry Practice
In this trig worksheet, students 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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TI-89 Activities for PreCalculus and AP Calculus
Using the TI-89 calculator, learners 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 and...
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AP Calculus Practice Exam
For this calculus worksheet, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
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
For 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...
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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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MT-A141 PreCalculus: Worksheet 6.4
In this precalculus instructional activity, 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...
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Worksheet Five - Limits
For 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 lesson, 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.
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The Unit Circle
Students solve problems using the unit circle. In this precalculus lesson, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.
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An Introdcution to Derive
Twelfth graders explore Derive. In this Calculus lesson, 12th graders investigate the menus and tools available in Derive. In addition to the familiarization part of the lesson, students investigate Pascal’s Triangle, graphing in...
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Geometric Sequences
Students relate pattern and sequences to music. In this geometry lesson, students identify different scales using chromatic scales. They compare the different waves to sine waves and other trigonometric waves.