Curated OER
Inscribed Angles
Pupils analyze inscribed angles and intercepted arcs and explore the relationships between the two. They investigate the properties of angles, arcs, chords, tangents, and secants to solve problems involving circles.
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Discussion Sheet 10: Improper Integrals
In this improper integral worksheet, students compute improper integrals, they determine finite improper integrals, and find the area of a region bounded by graphs. Students compute the arc length of a curve on the indicated interval. ...
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3.14159265
Young scholars discover the value of Pi. In this value of Pi lesson, students measure the circumference and diameter of various circles on their graphing calculator. Young scholars find the ratio of the circumference to the...
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Worksheet 21 Spring 1996
In this math worksheet, students consider a path around the unit circle parameterized by σ on the interval [0, 1] with σ(t) = sin(5πt − π), cos(5πt − π). Then they find the vector.
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Exploring Volume of Cylinders
Tenth graders investigate the volume of a cylinder. In this geometry lesson plan, 10th graders create three-dimensional cylinders and use a ruler to determine the dimensions. The lesson plan progresses to the use of the...
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Math 53 - Review for Midterm 1
In this review for midterm, students use parametric equations to find points on a curve, explore conic sections, write vector functions, and sketch cylindrical coordinates. This two-page review contains 10 multi-step problems.
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PLANETS IN PROPORTION
Students discover scales for both the solar bodies' relative sizes and their distances from the sun. They find equatorial circumference and volumes of their solar bodies. Students apply estimation strategies and proportioanl reasoning to...
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Perimeter of Sector
In this perimeter worksheet, students calculate perimeter of sector using given radius and length of arc. An answer key is included.
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Quiz: Area of Sector and Segment
In this area of sector and segment activity, students find the area of a shaded sector. Given the central angle of a segment and the radius, students identify the area of a sector. This one-page activity contains ten problems.
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Quiz: Angles in Circles - Angles Outside the Circle
In this angles in circles worksheet, students explore angles outside a circle. Using given trigonometric ratios, they find the missing angle measurement or the length of a line. This one-page worksheet contains ten 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. ...
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Are you in Golden Shape
Students solve and verify the solution for unknown measures. In this geometry lesson, students identify the properties of circles. They use the arc, angle and segment relationship to find the missing measures.
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Connecting Area Formulas Produces a Beautiful Formula
In this math worksheet, students find the area of the triangle using the formula of 1/2 bh. Then they find the area using an alternative method.
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Plain Figures And Measuring Figures
Seventh graders investigate the mathematical concept of a sector. They apply the concept to an example problem and then move into a more complex application. They find the area of the side of a cone. This is done as students calculate...
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Kinematics of the Planar Continuum Snake Robot
Students calculate the length of an arc that surrounds an angle at the center of a circle of radius. For this kinetic equations lesson students complete a lab and solve a kinematic equation.
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Pendulums
Students determine what factors effect the period of a pendulum. In this pendulum instructional activity students complete a lab activity and report their findings.
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Arctica - An Interactive Mystery
Rumours of illness, poisoning, and madness - a ship disappears without a trace! Read this interactive science story and use deductive reasoning skills to solve a mystery. This engaging resource gives science stars a chance to practice...
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Worksheet 28: Parametric Equations
In this parametric equations worksheet, students read informational paragraphs and answer 10 questions regarding parameter, velocity, speed, curvature, parametric equations, and scalar curvature.
Center for Innovation in Mathematics Teaching
Trigonometry
This unit covers the basic trigonometry including understanding radians, how to convert between radians and degrees, the area of a circle subtended by an angle, basic properties and graphs of sine, cosine, tangent, and solving...
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Defining the Circular Functions
In this calculus worksheet, students solve values involving trigs and the unit circle. They identify graphs of sine, cosine and tangents. They solve for angles using the unit circle and the calculator.
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Taylor Polynomial Examples
Students graph Taylor polynomials. In this calculus lesson, students relate accuracy of a Taylor polynomial to the degree of the equation. They graph their polynomials using the TI calculator.
Mt. San Antonio Collage
Graphing Trigonometric Functions
Double win with a comprehensive worksheet and an excellent worked out answer key. The worksheet itself is twelve pages and begins with the simple sine and cosine graphs, then, develops into the reciprocal trig functions.
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...
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Circles and Cylinders
In this geometry lesson, 10th graders break down a circle and identify the different parts. They discuss chords, diameter, radius, circumference, major and minor segment. There are 42 problems broken down into 5 different sections.