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Ferris Wheels—Tracking the Height of a Passenger Car
Watch your pupils go round and round as they explore periodic behavior. Learners graph the height of a Ferris wheel over time. They repeat the process with Ferris wheels of different diameters.
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Simple Harmonic Motion
Students solve problems involving graphs. In this calculus lesson plan, students relate harmonic motion to velocity. They discuss the derivative and the effect on the functions created.
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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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Law of Sines
Laws are meant to be broken, right? Learners derive the Law of Sines by dropping a perpendicular from one vertex to its opposite side. Using the Law of Sines, mathematicians solve for various parts of triangles.
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Parabolas
Learn how to evaluate the derivatives of polynomials. Mathematicians find the derivative of a quadratic function and determine the value at a given value. Students compare the slope of the secant line through two points with the...
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Extrema on an Interval
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
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Surfing the Waves
Students use online resources, including animations,to define the slope of a curve and how to calculate the slope. They solve 8 problems online, using the definition of the derivative of a function at a point to calculate slope of the...
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Segments Formed by Intersectiong Chords, Secants, and Tangents
Learners investigate the properties of segments formed which chords, secants, and tangents, intersect. The dynamic nature of Cabri Jr. allows learners to form and verify conjectures regarding segment relationships.
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Worksheet Six: System of Equations
In this system of equations worksheet, students solve systems of equations. They plot functions and evaluate solutions as floating point numbers. This two-page worksheet contains 8 multi-step problems.
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Derivatives
In this derivatives activity, students identify intervals. They differentiate given functions. This one page activity contains seven multi-step problems.
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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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MT-141 Precalculus - Worksheet 6.4(b)
In this precalculus activity, students complete horizontal shift identifies. They graph functions, solve trigonometric equations using algebra, estimation and with the use of a graphing calculator. Students find the cosine of curves. ...
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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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Math- A Level Differentiated Lesson
Students investigate the gradient function of a polynomial and they conduct a class discussion about its meaning. Then students use graphing software in order to examine tangents that can be seen visually to aid those who need visual...
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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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The Sine Function
Students explore the concept of the sine function. In this sine function activity, students use a plexiglass sine wave generator to visualize the sine function. Students use a computer program/calculator to adjust aspects of the sine...
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Further Trigonometry
In this trigonometry worksheet, students solve for trigonometric functions. They convert between radians and angles using the properties of sine, cosine and tangent. There are 30 problems on this handout.
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Creating a Mathematical Model Using Weather Data
Students explore the concept of mathematical models. In this mathematical model lesson, students create a mathematical model from data from 4 cities over 15 months. Students are told they are working for a weather station. Students...
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Senior Analysis: Review Functions and Tangents
In this function worksheet, students find the equation of a line tangent to a given function. They identify the derivative of functions, This one-page worksheet contains 11 multi-step problems. Answers are provided on page two of the...
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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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Some Explorations With Even And Odd Functions
In this math worksheet, students explain relationships that define even functions. They give the reason that given functions are even functions. Students describe even and odd functions.
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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.