West Contra Costa Unified School District
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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MT-141 Precalculus - Worksheet 6.4(b)
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
Learn how to evaluate the derivatives of polynomials. Mathematicians find the derivative of a quadratic function and determine the value at a given value. Learners 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 activity, 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 students 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 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
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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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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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, 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
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
In this trigonometry learning exercise, 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
For 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, students 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, learners 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.
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Center of Mass, Tangent Line Error Bound
For this center of mass worksheet, students determine the center of mass of an isosceles triangle. They examine functions and determine the tangent error bound. This one-page worksheet contains 5 problems.
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Exploration of Trigonometry
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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Investigating the Idea of Cos
Fifth graders use cos to solve problems involving right-angled triangles. They solve equations of the form cos(++) = a, for a between -180 and 360 degrees. They state the value of cos(++) in special cases and graph y = cos(++).