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Worksheet
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Yummy Math

Playing with my calculator on the 4th of July

For Students 8th - 12th Standards
This fun activity guides learners through an exploration of the effects of replacing f(x) with -f(x), f(x) + c, k f(x), and f(x + c). Using graphing calculators, students experiment with variations of the graph of y = x^2 to design a...
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Lesson Plan
Curated OER

Getting Triggy With It

For Teachers 9th - 12th Standards
The concept of sine and cosine is explored in this lesson where students graph sine and cosine graphs using a transformation application on the graphing calculator.  Students change the coefficients for the amplitude, period,...
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Worksheet
Curated OER

Investigating Transformations

For Students 11th - 12th
In this trigonometry worksheet, students investigate the transformations that can occur to the basic trigonometric functions. The thirteen page worksheet contains explanation, examples, and forty-seven...
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Worksheet
Curated OER

Modelling Periodic Phenomena

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, students determine the trigonometric function that best models the given data. The eight page worksheet contains explanation, examples, and twenty-one problems. Answers are not included.
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Worksheet
Curated OER

MT-A141 PreCalculus: Worksheet 6.5/6.6

For Students 10th - 11th
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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Worksheet
Curated OER

Functions

For Students 12th - Higher Ed
In this function instructional activity, students solve 4 different types of equations related to functions. First, they determine a particular solution to the low pass and plot the input and output of the same axes and compare. Then,...
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Worksheet
Curated OER

MT-A141 PreCalculus: Worksheet 6.4

For Students 10th - 11th
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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Lesson Plan
Curated OER

The Wave of the Future

For Teachers 12th
Twelfth graders discuss sine curves and enter equations into their graphing calculator then compare different graphs created on their calculators. They identify the period, amplitude and phase shift given the graph or the equation of a...
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Lesson Plan
Curated OER

Modeling With Circular Functions

For Teachers 9th - 12th
Students explore circular functions. They identify the amplitude, period, phase shift and vertical shift of circular functions. Students analyze phenomena described by sine waves and they find mathematical models for transforming images...
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Graphs of Trigonometric Functions

For Students 9th - 10th Standards
Hotmath provides 20 practice problems on graphs of trigonometric functions. Each of the practice problems include a step-by-step guide for solving their graphs.
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Handout
Georgia State University

Georgia State University: Hyper Physics: Interference of Sound

For Students 9th - 10th
Information about the interference of sound and its causes. Well-illustrated and good explanations of the concepts; part of a large hyper-textbook on various physics concepts.
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Unknown Type
McGraw Hill

Glencoe: Quiz on the Translations of Sine and Cosine Functions

For Students 9th - 10th
The online assessment demonstrates knowledge of advanced mathematical concepts in Pre-Calculus. The questions evaluate students on translations of sine and cosine functions. Topics include horizontal and vertical shifts.
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Unknown Type
McGraw Hill

Glencoe: Online Study Tools: Quiz on Graphs of Trigonometric Functions

For Students 9th - 10th Standards
Students show comprehension of advanced mathematical concepts in Trigonometry. The online quiz assesses the scholars on the graphs of trigonometric functions.
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Activity
Analyze Math

Analyze Math: Periodic Functions

For Students 9th - 10th Standards
The interactive tutorial examines periodic functions. Learners use the applet to manipulate the shape, period, and shift of periodic functions.
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Activity
Interactive Mathematics

Interactive Mathematics: Phase Shift

For Students 9th - 10th
The tutorial investigates phase shift by examining the shapes of the sine and cosine functions. The resource consists of definitions, animations, interactive graphs, and examples. Practice problems with solutions are included.
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Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Trigonometric Graphing

For Students 9th - 10th Standards
Explore the amplitude, period, and phase shift by examining the graphs of various trigonometric functions.