Curated OER
Relationships Among Arc and Angle Measures in Circles
Students follow the directions on the attached worksheet to construct shapes using Geometer's Sketchpad. To start the instructional activity, it is suggested that the teacher guide the students through the initial problem. When...
Mathematics Vision Project
Module 5: Circles A Geometric Perspective
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
Curated OER
Length of an Arc
Twelfth graders define an arc and find its length. In this calculus instructional activity, 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...
Curated OER
Math: Arcs and Chords
Students draw diagrams demonstrating how it is possible to two central angles to be congruent and their minor arcs are not congruent. In groups, they illustrate theorems with their constructed circles, create diameters of circles that...
Corbett Maths
Angles in the Same Segment – Proof
If angles intercept the same arc, the angles must be the same size. The quick video talks through the proof of showing the reason two inscribed angles that intersect the same arc have the same measurement. Pupils then create their own...
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...
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
Measurement of a Central Angle
Students calculate the measurement of a central angle. In this geometry lesson, students identify properties of circles. They use Cabri software to create and analyze graphs.
Curated OER
Geometry Circles
In this circle instructional activity, students find the measure of identified angles. Students are given the measurement of arcs and of the central angle in a circle. This two-page instructional activity contains 45 problems. Answers...
Curated OER
Numerical Practice with Big Circles
In this numerical practice worksheet, students determine the measurement of given angles. Using trigonometry ratios, they find the measurement of ten angles on this one-page worksheet.
Curated OER
Inscribed Angles
In this inscribed angles instructional activity, 10th graders solve 13 various types of problems related to inscribed angles in geometry. First, they identify a circle illustrated and each arc of the circle. They, students find the...
Curated OER
Plain Figures and Measuring Figures
Students investigate basic geometric concepts. In this geometry activity, students explore solids through measuring and modeling. This assignment models the importance of understanding concrete objects in geometry.
Curated OER
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
Exploring Circles
In this exploring circles instructional activity, 10th graders solve 12 different types of problems related to measuring circles in geometry. First, they refer to the figure on the sheet to name the center point, the three radii of the...
NASA
It All Comes Full Circle
How long does it take spacecraft go around the earth? Using the circular orbits of the space shuttle and the International Space Station, groups determine the distance traveled in one revolution, then calculate the distance traveled...
Texas Instraments
Angles in Circles
Teach your learners how to investigate the relationship between a central angle and an inscribed angle which subtend the same arc of a circle. The dynamic nature of Cabri Jr. provides opportunity for conjecture and verification.
Curated OER
Finding Areas of Triangles, Rectangles, and Circles
Students find the areas of geometric shapes. In this geometry lesson plan students find and measure the sides, perimeters, and areas of quadrilaterals, triangles, and circles. Students relate the measures to the others by using formulas.
Curated OER
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...
Curated OER
Circles
In this circles worksheet, 10th graders solve and complete 45 different problems. First, they find the measure of each numbered angle given the arc measures as indicated. Then, students write their response on the lines provided.
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
The Inscribed Angle Alternate – A Tangent Angle
You know the Inscribed Angle Theorem and you know about tangent lines; now let's consider them together! Learners first explore angle measures when one of the rays of the angle is a tangent to a circle. They then apply their newfound...
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...
University of Adeaide
Basic Trigonometry and Radians
A fabulous set of examples and problems that introduce basic trigonometry concepts, this packet is set apart by the care it takes to integrate both radians and degrees into the material. After defining radians, the author demonstrates...