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Math Graphs

Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 8 [Pdf]

For Students 9th - 10th Standards
Learners use a scatter plot to identify whether the data can be modeled by a linear, quadratic, or trigonometric function. The math graph is available in PDF format.
Activity
University of Vienna (Austria)

The Graphs of Sin, Cos, and Tan Maths Online

For Students 9th - 10th
This applet allows the user to create the graphs of sin, cos, and tan by moving a scroll bar. The user can watch the unit circle and the graph simultaneously to see how the two are related. The user may also choose to see the angle...
Activity
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Trigonometry Review

For Students 9th - 10th
The Northeast Parallel Architectures Center, Syracuse University, provides a review and tutorial site on trigonometry. The information is in-depth and can be accessed by clicking on the various links in the outline.
Activity
Wolfram Research

Wolfram Math World: Cosine

For Students 9th - 10th
Graphs of the cosine function, both 2-dimensional and 3-dimensional. Higher level mathematics applications given, including defining the hyperbolic cosine function, the cosine function as an infinite sum and infinite product, and more.
eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 7.2 Sine and Cosine Ratios

For Students 9th - 10th Standards
Discover sine and cosine ratios in trigonometric ratios.
Activity
Other

Technical Tutoring: Trigonometry: The Very Fast Review

For Students 9th - 10th Standards
This site is a quick review of the functions and identities in trigonometry. Very helpful site.
Activity
Interactive Mathematics

Interactive Mathematics: Radians

For Students 9th - 10th
Learn the definition of radians and how to calculate trig ratios using radian measures. Examples are provided showing how to convert from degrees to radians.
Graphic
Curated OER

Npac Reu Program: Sign (+ or ) of the Trig Functions

For Students 9th - 10th
Northeast Parallel Architectures Center of Syracuse University provides a quick overview of the signs of the six trigonometric functions in the four quadrants of the coordinate plane.
Activity
BBC

Bbc: Radians and Equations

For Students 9th - 10th
BBC provides a tutorial that explains how radians are related to degrees and demonstrates how to solve trig equations in radian units. Examples and a practice test are available.
Handout
Math Medics

S.o.s. Math: Trigonometry: The Addition Formulas

For Students 9th - 10th Standards
This math lesson contains a list of trigonometric addition formulas. Includes example problems involving these formulas along with solutions.
Activity
Texas Instruments

Texas Instruments: Looking for Mr. Right Triangle

For Teachers 9th - 10th Standards
Navigator Activity: This is a review of the right triangle in the coordinate plane. Given two lines (2 really nice ones) the students write the equation of the 3rd line to create a right triangle. They find the vertices of the triangle...
Unit Plan
Lawrence Hall of Science

The Math Page: Trigonometry: Analytic Trigonometry the Unit Circle

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains the unit circle and all six trigonometric functions of all quadrantal angles. There are example problems solved, problems for the student to attempt, and answers to the student...
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Even and Odd Identities

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Define even and odd functions.
Unit Plan
Oswego City School District

Regents Exam Prep Center: Unit Circle

For Students 9th - 10th Standards
Two hands-on lab activities for instructors to use when teaching about the coordinate graphs of the sine, cosine, and tangent functions derived from a unit circle. The graphs of the reciprocals of the three functions are investigated....
Activity
Math Is Fun

Math Is Fun: Trigonometry

For Students 9th - 10th Standards
Students explore trigonometry concepts through this collection of definitions, lessons, examples problem-solving steps and strategies, and practice problems. Topics include solving triangles, trigonometric functions, theorems, and the...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Foxes and Rabbits 3

For Teachers 9th - 10th Standards
Young scholars are presented with two graphs that show the populations of foxes and rabbits in a national park over a 24-month period. This is the third Foxes and Rabbits task. In this more realistic problem, students must find functions...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Hours of Daylight 1

For Teachers 9th - 10th Standards
In order to determine how effective solar panels would be at various times of the year, it is important to know the amount of daylight at a given location. Students are asked to find an appropriate function that serves as a mathematical...
Activity
Texas Instruments

Texas Instruments: Solving Problems Using Trigonometry

For Teachers 9th - 10th
Solving real life problem using trig ratios. Example: Finding the angle of elevation or the angle of depression. Finding the angle between two lines. Finding equation of a line that passes through two points.
Activity
University of Vienna (Austria)

Trigonometry: Law of Sines

For Students 9th - 10th Standards
This is demonstration of how the law of sines works. It uses Java applets to manipulate the triangle and allows the user to explore what happens to the values of the triangle as the sides are changed.
Unit Plan
OpenStax

Open Stax: Normal, Tension, and Other Examples of Forces

For Students 9th - 10th
In the following interactive students will begin to define normal and tension forces. They will apply Newton's laws of motion to solve problems involving a variety of forces and use trigonometric identities to resolve weight into...
Activity
Interactive Mathematics

Interactive Mathematics: Sine, Cosine, Tan & Reciprocals

For Students 9th - 10th Standards
The definitions of the six trig ratios are presented here, along with several examples of how to determine the ratios given 2 or more sides of a right triangle.
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Khan Academy

Khan Academy: Algebra Ii: Amplitude of Sinusoidal Functions From Graph

For Students 9th - 10th Standards
Given the graph of a sinusoidal function, determine its amplitude. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg Satellite

For Teachers 9th - 10th Standards
This task models a satellite orbiting the Earth in communication with two control stations located miles apart on Earth's surface. Students determine distances between various locations and, given a rate of travel, they determine the...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg the Lighthouse Problem

For Teachers 9th - 10th Standards
For this task, students are asked to calculate the height above sea level of a lamp on top of a lighthouse that is visible to a boat, and to examine two other interpretations of the distance from the lighthouse to the boat. Aligns with...

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