Radford University
Discover Radians!
No need for radians to be mysterious. Scholars use a cardboard cut-out of a unit circle and measure the radius and circumference using a piece of string. They consider the number of radii needed to cover the entire circumference and use...
Curated OER
Test on Chapter 7
Students review integrals and how they apply to solving equations. In this calculus lesson, students assess their knowledge of area between two curves, arc length, finding the volume using disk, washer and shell method. This assignment...
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High School Mathematics Problems from Alaska: Azimuth and Arc Length
Students track the Azimuth sunrise and sunset over time by creating a chart.
Curated OER
Around the Clock
Middle schoolers discover the relationship between the circumference of a circle and its diameter. They find the length of an arc of a circle.Students use estimation strategies in real-world applications to predict results (i.e.,...
Curated OER
Pi Day
Ninth graders explore the concept of pi in preparation for developing a project for pi day. They examine direct variation, the history of pi, circle circumference and arc length, area and sector area and then consider how these concepts...
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Sectors of Pizza
Students identify the properties of a circle. In this geometry lesson, students relate properties of diameter to sections of a pizza. They calculate the measure of an arc and missing angles.
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A Star to Steer Her By
Students determine their latitude using a protracdtor and/or cross-staff to find the altitude of Polaris.
EngageNY
Similar Triangles in Circle-Secant (or Circle-Secant-Tangent) Diagrams
First angle measures, now segment lengths. High schoolers first measure segments formed by secants that intersect interior to a circle, secants that intersect exterior to a circle, and a secant and a tangent that intersect exterior to a...
EngageNY
Graphing the Sine and Cosine Functions
Doing is more effective than watching. Learners use spaghetti to discover the relationship between the unit circle and the graph of the sine and cosine functions. As they measure lengths on the unit circle and transfer them to a...
Curated OER
Angles and Arcs
Students discuss the sum of central angles and use string to create them on circles. They find the measure and length of both minor and major arcs.
Students give examples of concentric, similar, and congruent circles and congruent arcs.
Curated OER
Basketball Measurements
In this basketball court measurements worksheet, students complete16 various types of problems using the illustrated basketball court at the bottom of the sheet. They find the diameter and radius of the smaller jump circle on the court....
Curated OER
Geometry Worksheet
For this geometry worksheet, students find the area of four polygons. They compute the measure of an angle. Students find the length of the sides of a right triangle. They name one arc and find the measure of two arcs.
Curated OER
Parametric, Vector, Polar, and 3D Functions
Twelfth graders investigate the capabilities of the TI-89. In this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories. Students investigate the symbolic and...
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Introduction to Accumulation
In this area of an ellipse worksheet, students are directed to work in groups of four to estimate the area of an ellipse by following four steps: They over and underestimate the area by using a large grid, then under and over estimate...
Curated OER
Review of Trigonometry
In this review of trigonometry worksheet, students determine the values of angels using sine, cosine, and tangent. They determine arc length and find the coordinates of endpoints. This two-page worksheet contains approximately 70...
Curated OER
A Special Relationship
Students discover the relationships of the lengths of the sides of right triangles and right triangles using a series of drawings on dot paper. They investigate and solve problems of standard (customary and metric units) and non-standard...
Curated OER
The Aspect Ratio of Wings
Junior engineers examine aspect ration in airplane wings. Using the length and width of two differetn wings, they calculate the aspect ratios and compare drag rankings. An engineering or space science class would benefit from this...
Curated OER
Electric Hoist Problem
Learners convert angle measures between degrees and radians. They are given a copy of the task sheet with a graphic to help describe the situation. Pupils review the angle and arc relationship in a circle related to length of the...
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Radian Measure
Young mathematicians identify central angles, arcs and radius of circles in this pre-calculus instructional activity. They identify the proportion of the circle based on its radius while they convert between degrees and radians...
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Inscribed Angles
Students 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.
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.
Curated OER
Discussion Sheet 10: Improper Integrals
In this improper integral activity, 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. ...
Curated OER
Chapter 7 Final Review Extra Problems
For this Geometry review worksheet, students describe the relationships of two common triangles. They find the area of a segment created by a given sector of a circle for two circles. Students find the length of an arc bounded by the...
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When a Ruler is Too Short
Students measure distances using parallax. In this math lesson, students explain how this method helped astronomers with their studies of the solar system. They determine the length of their arm using parallax and compare it with other...
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