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Curated OER
Measuring the Earth
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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Quadrantal Angles
In this quadrantal angle worksheet, students determine the six trigonometric for each quadrant angle. This one-page worksheet contains 36 problems, with answers printed at the bottom of the page.
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Circle Packing
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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Unit Circle Triangle
Students find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
EngageNY
Geometry Module 5: End-of-Module Assessment
The lessons are complete. Learners take an end-of-module assessment in the last installment of a 23-part module. Questions contain multiple parts, each assessing different aspects of the module.
CK-12 Foundation
Trigonometric Functions of Angles Greater than 360 Degrees: Snowboarding
Spin through the trigonometric functions. Scholars determine the angle of rotation a snowboarding snowman makes at various distances in his jump. The class members then calculate the values of trigonometric functions for those angles.
Curated OER
Arc Length Lesson
Students 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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Angles in Standard Positions
Young scholars identify positive and negative angles using the Unit Circle. In this pre-calculus lesson, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...
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Volume and Surface Area
In this volume and surface area worksheet, 10th graders solve and complete 12 different types of problems. First, they find the volume and total surface area of a given circle. Then, students find the height and radius of a cylinder...
Curated OER
Math: Tangents
Pupils discover how to recognize tangents and how to use their properties. They investigate and use the properties of angles, arcs, chords, tangents, and secants. Students use two tangents and the properties of similar triangles to...
Curated OER
Hexagoning the Circle
Pupils explore similarity to see that the area of a circle should be a constant times the square of its radius. Students create a hexagon. Pupils share their designs with the class.
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Solving Intercepted Arcs
Students investigate circles and its arcs. In this geometry lesson, students identify the relationship between an circle and its intercepted arcs. THey identify the central and inscribed angles.
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DEAD MAN'S CURVE
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...
Curated OER
Power of a Point
Pupils solve problems by finding the radius or diameter. In this geometry lesson, students identify the tangent line of a circle and use properties of circles to find the radius. They relate circles to the real world.
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Worksheet 14
In this math worksheet, students analyze a path around a circle. The interval is defined. Students sketch a graph of a given parametric curve. Five application problems give students practice using these concepts in real life situations.
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Worksheet 35
In this math worksheet, students analyze two vector fields. They tell which of the vector fields is the scaler field for the given function. Students draw solution curves to match the differential equations represented in the illustrations.
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Implicit Differentiation Problems
In this calculus worksheet, students perform implicit differentiation to take the derivative. They solve function explicitly of x. They differentiate between implicitly and explicitly. There are 16 problems with an answer key.
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Vectors
In this vectors activity, students solve and complete 6 various types of problems. First, they find two unit vectors that are parallel to the given vector and illustrate. Then, students find parametric equations for the line that passes...
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Trigonometric Ratios
Learners investigate properties of the unit circle using sine, cosine and tangent. They analyze the answers to questions about the unit circle based on a right triangle.
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Worksheet 8 - Limit of Slopes
In this limit of slopes worksheet, students compute the limit of slopes, find the slope of the secant line, and determine the slope of the tangent line. This one-page worksheet contains five multi-step problems.
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Worksheet 26 - Function
In this function worksheet, young scholars identify the local maximum and minimum values and angle dimensions. This one-page worksheet contains six multi-step problems.
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Angle and Radian Measure
In this angle and radian measure worksheet, students find the measurement of a central angle. Students determine the speed of rotation, linear speed of a point, and radians per second. This two-page worksheet contains twelve problems. ...
Curated OER
Why do Stars Rise in the East?
In this stars rise in the east activity, students use geometry to show how the Earth rotates from west to east and why celestial bodies appear to rise in the east and set in the west. Students draw a figure and label given points in...
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Trigonometry
Students investigate angles converting them from radians to degrees. In this trigonometry instructional activity, students work with angles and the six different trig ratios. They graph the functions representing each trig functions and...