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Curated OER
Chords of a Circle
In this geometry worksheet, 10th graders calculate the length of a chord and the distance from the center of a circle or radius. They compare diameter, chords and radius. There are 10 questions with an answer key.
Curated OER
Circles and Arcs, Circumference and Area Multiple Choice
In this circles worksheet, students determine the circumference and area of circles. They compute the length of an arc and find the radius. This one-page worksheet contains 6 multiple-choice problems. This on-line...
Curated OER
Circles: Geometry Review Worksheet
Tenth graders solve and complete 14 different geometry problems. First, they find the area and circumference of a circle with a given radius. Then, they find the area between a circle and an inscribed equilateral triangle given the...
Balanced Assessment
Curvy-Ness
Curves ahead! Develop a numerical measurement of curvy-ness. The class is challenged to come up with a definition of curvy that can be applied to curves. The class members use their defined measurement to describe a curve.
Curated OER
Arc Length and Sectors
Find the length of an arc. Students relate central angles to the area and length of a sector and graph circles on the TI to make predictions.
Curated OER
Gateway Arc Length
Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. Students use their TI calculators to graph the equation.
Curated OER
Circles and Cylinders
For 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.
Curated OER
Secants, Tangents and Arcs
Students identify chords and angles. In this geometry lesson, students calculate the length of the chords inside and outside of-the circle. They differentiate between tangent and secant lines.
Virginia Department of Education
Angles, Arcs, and Segments in Circles
Investigate relationships between angles, arcs, and segments in circles. Pupils use geometry software to discover the relationships between angles, arcs, and segments associated with circles. Class members use similar triangles to...
Flipped Math
Secants and Tangents
Put the vertex in, put the vertex out. Pupils explore theorems about the relationships of lengths of segments and angles of line segments that intersect inside or outside the circle. Learners use the theorems to solve problems involving...
Illustrative Mathematics
Two Wheels and a Belt
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Alabama Learning Exchange
Radians: Just Another Way
Serve up angle measurements on paper plates. Pupils use paper plates and paper-folding techniques to create a unit circle with conversions for special angles. Using their plates, learners explore the relationship between angle...
Curated OER
Circles
In this circles worksheet, 10th graders solve and complete 20 different problems related to various circles. First, they find the radius and diameter of a circle with a given circumference. Then, students determine the measure of each...
Curated OER
Circles Terminology Multiple Choice
In this circles learning exercise, students solve 10 multiple choice problems. Students answer questions about diameter and chord relationships, tangent lines to a circle, circumference, the Pi relationship, etc.
Radford University
Marking Starting Locations for the 400-Meter Dash Track and Field Event
No fair! I had to run more than they did! Young mathematicians first measure various lengths on a school track. They develop strategies and show calculations to prove that all participants will run the same length using a staggered...
101 Questions
Rotonda West, FL
The shortest distance from point A to point B is a straight line—or is it? Young scholars determine the shortest route either along a circular path or through the center of the circle. Learners gain a unique perspective on arc length and...
Curated OER
Length of an Arc
Twelfth graders define an arc and find its length. In this calculus lesson, 12th graders roll out a circle and measure its length using the same method of a triangle and its hypotenuse. They apply the Pythagorean Theorem to some...
Radford University
Earthquake Problem
Shake up things in the classroom. The unit uses earthquakes to bring a real-life connection to finding arc lengths, logarithms, and equations of circles. Small groups determine whether particular towns would have felt an earthquake after...
Curated OER
Inverse Trig Functions
Learners solve and graph 10 different problems that are the inverses of various trig functions. First, they determine which equation is equivalent to a given equation. Then, they find an angle of a right triangle, given its leg lengths....
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...
Rice University
Calculus Volume 3
See calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...
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
Chapter 7 Final Review Extra Problems
In 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...
Illustrative Mathematics
Designs
A resource that makes for excellent group work as learners explore the area and perimeter of different complex designs made up of squares and circles. The commentary gives a clear definition of perimeter, but suggests that group members...