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Worksheet
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Estimating Pi as a Length

For Students Higher Ed
In this pi learning exercise, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi....
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Worksheet
Curated OER

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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Worksheet
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Sine Cosine Game

For Students 11th - 12th
In this algebra activity, students are given a word problem they must solve by rewriting the words in to algebraic symbols. They investigate Sine and Cosine using word problems. There are 18 questions with an answer key.
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Worksheet
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Trigonometry Triangles

For Students 11th
In this trig worksheet, 11th graders investigate the 6 trigonometry identities and their cofunctions. They use them to solve trig problems as related to right triangles. There are 5 questions with an answer key.
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Worksheet
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Derivative Formulas

For Students 9th - 11th
In this calculus worksheet, students solve functions using the derivative formulas. There are 26 formulas for them to review and go over.
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Lesson Plan
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Unit Circle Lesson Plan

For Teachers 11th - 12th
Students identify different locations on a unit circle. In this precalculus lesson, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them remember...
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Lesson Plan
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Lines in the Plane

For Teachers 9th - 11th
Young scholars differentiate between parallel and perpendicular lines. In this algebra lesson, students graph linear equations using the slope intercept form. They classify lines based on their slopes.
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Worksheet
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Circles Terminology Multiple Choice

For Students 9th - 12th
In this circles worksheet, students solve 10 multiple choice problems. Students answer questions about diameter and chord relationships, tangent lines to a circle, circumference, the Pi relationship, etc.
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Lesson Plan
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Trigonometric Functions of Acute Right Triangles

For Teachers 9th - 11th
Students derive the six trigonometric functions. In this trigonometry lesson, students show their understanding of trigonometric functions as they relate the right triangles. They find the missing angles and side use trig ratios of sine,...
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Lesson Plan
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Applications of Triangles

For Teachers 9th - 11th
Students apply the properties of a right triangle. In this triangle lesson, students describe and compare radians to degrees. They solve problems using the properties and ratios of a right triangle.
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Lesson Plan
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Angles in Standard Positions

For Teachers 9th - 11th
Students identify positive and negative angles using the Unit Circle. In this pre-calculus instructional activity, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a...
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Lesson Plan
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Arc Length Lesson

For Teachers 9th - 11th
Learners find the length of the arc of a circle. In this geometry lesson, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed. They...
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Lesson Plan
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Positive and Negative Angles and Arcs

For Teachers 9th - 12th Standards
To better understand that the intersection point of two lines lies inside a circle, learners use their keen measurement skills. They discuss arcs, rays, tangent lines, and reflex angles. Then, they put their skills to work as they...
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Lesson Plan
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Lesson #20 Rates of Change and Velocity

For Teachers 10th - 12th
Pupils investigate speed. In this rate of change lesson plan, students complete a rate/time/distance table to determine the average m.p.h. of a given trip. They listen and follow along with the lecture and examples to determine the...
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Worksheet
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Geometry Regents Bimodal

For Students 9th - 10th
In this geometry worksheet, learners solve problems that are bimodal. They define properties of circles and triangles. There are 117 questions.
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Lesson Plan
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Solving Intercepted Arcs

For Teachers 9th - 11th
Students investigate circles and its arcs. In this geometry instructional activity, students identify the relationship between an circle and its intercepted arcs. THey identify the central and inscribed angles.
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Lesson Plan
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Understanding Fundamental Trigonometric Identities

For Teachers 9th - 12th
Young scholars are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also...
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Lesson Plan
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DEAD MAN'S CURVE

For Teachers 9th
Ninth graders, after being given a unique scenario and a task sheet on Dead Man's Curve, calculate and explain the force needed to keep a car on a curve using a set of formulas and a geometric property of circles. They utilize and create...
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Lesson Plan
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Powers of Trig Functions

For Teachers 10th - 11th
In this trigonometric worksheet, students solve integrals by substitution and the Pythagorean theorem. Students use their trigonometric functions to solve problems. This four-page worksheet contains 20 problems.
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Lesson Plan
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Measuring the Earth

For Teachers 10th - 11th
Students identify types of arcs and angles in a circle, find the measure of arcs and angles, and solve real world problems involving lengths of segments in circles, lengths, and areas.
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Worksheet
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Numerical Analysis: Worksheet 12: Comparing Root-Finding Methods

For Students Higher Ed
In this root-finding worksheet, students rank numbers in asymptotic order. They identify and discuss the roots of the original function. This four-page worksheet contains approximately 10 problems.
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Worksheet
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Mathematical Wackie Wordies

For Students 9th
In this word instructional activity, 9th graders examine pictures and write a mathematical phrase to describe the picture.  This one-page instructional activity contains 25 problems.  Answers are provided.
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Lesson Plan
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Circle Packing

For Teachers 9th - 10th
Students identify different parts and properties of circles. In this geometry lesson, students identify the radius, diameter, semicircle and inscribed angle of a circle. They identify the tangent lines to a circle.
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Lesson Plan
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Rates Of Change

For Teachers 9th - 12th
Students investigate the rate of change and how it effects a function over a given interval. They examine the slope of a line that is seccant and how it is compared to a tangent line and then determine the changes of a function at any...

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