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Families of Functions
Students investigate families of functions. In this families of functions lesson, students discuss how changing a functions parameters affect its' graph. Students vary slope and y-intercepts of linear functions. Students stretch and...
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Infinite Limits and Horizontal Asymptotes
In this infinite limit worksheet, students compute horizontal and vertical asymptotes. They use trigonometric functions to find the limits of functions and compare results. This two-page worksheet contains examples and explanations and...
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Trigonometry Worksheet
In this trigonometry activity, students use the law of sines to find the length of a missing side of a triangle. They prove trigonometric identity and use Heron's formula to find the area of a triangle. This two-page activity contains...
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Geometric Sequences
Learners 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.
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A.P. Calculus Prerequisite No Calculator Multiple-Choice and Free-Response Exam
In this A.P. Calculus pre-requisites worksheet, students solve ten multiple-choice and ten free-response questions. Many of these questions cover trigonometric functions.
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Measuring Body Angles
Students use technology to graph and compare angles. In this geometry lesson, students range of motion in the environment. They identify the missing parts of polygons using similarity and congruence.
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Identifying Lines of Symmetry
Young scholars calculate the lines of symmetry using polygons. In this geometry lesson, students graph, compare and estimate using collected data. They identify different attributes to the polygons based on their sides.
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Studying Special Segments in Triangles
Learners investigate special segments in triangles. In this geometry lesson, students graph, compare, estimate and predict findings based on their data. They differentiate between similarity and congruence 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
Learners 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.
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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Using Fourier Series
In this Fourier series instructional activity, students use polynomials to approximate functions. They use trigonometric functions to approximate periodic functions. Students sketch graphs of functions and find the second degree...
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Worksheet 1 - Polynomials, Functions, Rates
For this polynomial worksheet, students read an assortment of story problems, determine the necessary information, and write an equation to solve the problem. Problems consist of topics dealing with area, factoring polynomials,...
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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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Compass Designs
Students investigate the properties of two and three dimensional objects. In this geometry lesson, students differentiate polygons based on similarity and congruence. They make observation and interpret the data.
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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
For 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, 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.