Worksheet
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MT-141 Precalculus - Worksheet 6.4(b)

For Students 10th - 11th
In this precalculus worksheet, 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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Parabolas

For Teachers 9th - 12th Standards
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...
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Extrema on an Interval

For Teachers 9th - Higher Ed
Young scholars explore maximum and minimum points, slopes and tangents. In this Pre-Calculus instructional activity, students solve optimization problems and find rates of change.
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Surfing the Waves

For Teachers 9th - 12th
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

For Teachers 9th - 12th Standards
Learners investigate the properties of segments formed which chords, secants, and tangents, intersect. The dynamic nature of Cabri Jr. allows students to form and verify conjectures regarding segment relationships.
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Worksheet Six: System of Equations

For Students Higher Ed
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

For Students 10th - 12th
In this derivatives worksheet, students identify intervals. They differentiate given functions. This one page worksheet contains seven multi-step problems.
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Worksheet 11 - Points of Discontinuity

For Teachers Higher Ed
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

For Teachers 11th - 12th
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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PreCalculus Worksheet 8.4

For Students 11th - 12th
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

For Students 10th - 11th
In this precalculus 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 given problems. ...
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Math- A Level Differentiated Lesson

For Teachers 9th - 12th
Young scholars 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...
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Precalculus Test

For Students 10th - 11th
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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The Sine Function

For Teachers 9th - 11th
Young scholars explore the concept of the sine function. In this sine function lesson, students use a plexiglass sine wave generator to visualize the sine function. Young scholars use a computer program/calculator to adjust aspects of...
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Further Trigonometry

For Students 11th - Higher Ed
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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Taylor Polynomials

For Teachers 10th - 12th Standards
Pupils graph Taylor polynomials in this calculus lesson. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.
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Creating a Mathematical Model Using Weather Data

For Teachers 8th - 11th
Students explore the concept of mathematical models. For 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

For Students 10th - 12th
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

For Students 10th - 11th
In this precalculus instructional activity, 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...
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Some Explorations With Even And Odd Functions

For Teachers 11th - 12th
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

For Students Higher Ed
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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Center of Mass, Tangent Line Error Bound

For Students 10th - 12th
In this center of mass learning exercise, students determine the center of mass of an isosceles triangle. They examine functions and determine the tangent error bound.  This one-page learning exercise contains 5 problems.
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Exploration of Trigonometry

For Teachers 6th - 12th Standards
Learners explore how changing an angle in a triangle changes the ratio of the sides. They also explore how changing the sides can make changes to an angle in a triangle. Finally, they determine how two different pairs of sides, in the...
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Access Ramp

For Teachers 9th - 12th Standards
Just about every public building that your students are familiar with has an access ramp which complies with ADA requirements. As it turns out, designing such a ramp is an excellent activity to incorporate slope, the Pythagorean Theorem,...