Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Radford University
Pizza Sector Task
Gobble up a slice of the task. Scholars first consider the area of a whole pizza, half a pizza, and a quarter of a pizza. They then consider other central angles and develop a formula for the area of any sector of a circle.
Curated OER
Calculate Missing Central Angles
In this central angle worksheet, students calculate the missing central angles in a set of 4 circles. A reference web site is given for additional activities.
Inside Mathematics
Circles in Triangles
Challenge the class with inscribed circles in triangles. The assessment task requests class members use their knowledge of circles and right triangles to prove two triangles are congruent. They go on to utilize their knowledge of...
Texas Instruments
Cabri Jr. Inscribed and Central Angles
Learners will differentiate between inscribed and central angles in this geometry lesson. They answer questions dealing with circles as they relate to inscribed triangles and angles. This assignment includes a printable worksheet.
Curated OER
Circle Graphs
Fifth graders explore to find the central angle and percent. In this circle graph lesson, 5th graders use formulas to calculate the central angle and a protractor to create their graph. Students complete a graphing sheet for homework.
Curated OER
Quiz: Angles and Arcs in Circles - Central and Inscribed
For this angles and arcs in circles worksheet, students determine the angle and arc measurement in a circle from given information. This one-page worksheet contains ten problems.
Mathematics Assessment Project
Inscribing and Circumscribing Right Triangles
High schoolers attempt an assessment task requiring them to find the radii of inscribed and circumscribed circles of a right triangle with given dimensions. They then evaluate provided sample responses to consider how to improve...
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
Angles and Arcs
In this angles and arcs worksheet, 10th graders solve 8 different problems that relate to determining the measure of various angles and arcs of a circle. First, they define a central angle and the difference between a major and minor...
Curated OER
Inscribed Angles
In this inscribed angles activity, 10th graders solve 11 different problems that are related to determining the measurement of various inscribed angles. First, they name the intercepted arc for an angle, the inscribed angle, and the...
Curated OER
Parts of a Circle
Sixth graders use yarn, paper plate, and other materials to identify parts of a circle. In this parts of a circle lesson plan, 6th graders identify the circumference, radius, diameter, and other parts of a circle.
EngageNY
Geometry Module 5: Mid-Module Assessment
How can you formally assess understanding of circle concepts? Pupils take a mid-module assessment containing five questions, each with multiple parts.
Mr. Williams Maths
Eight Circle Theorems Page
Your learners will find these circle theorems nicely organized with diagrams included that present the geometric relationships between the circle circumference, chords, central and circumference angles and tangents.
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.
Curated OER
Quiz: Area of Sector and Segment
In this area of sector and segment worksheet, 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 worksheet contains ten problems.
EngageNY
Arc Length and Areas of Sectors
How do you find arc lengths and areas of sectors of circles? Young mathematicians investigate the relationship between the radius, central angle, and length of intercepted arc. They then learn how to determine the area of sectors of...
Radford University
Where Should We Sit?
Where's the best seat in the house? Given a diagram of a movie theater, pupils determine the best seats based on the viewing angle. They use inscribed angles to justify their choices.
Virginia Department of Education
Arc Length and Area of a Sector
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
Houghton Mifflin Harcourt
Unit 6 Math Vocabulary Cards (Grade 5)
Acute angles, nets, and vertices are only a few terms that a set of flash cards includes. Among the 108 cards, two types are available; word cards printed in bold-faced lettering, and corresponding definition cards equipped with an...
Curated OER
Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
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
Inscribed Angles
Students calculate the inscribed angle of a triangle. In this geometry lesson, students identify the angle created by intersection of a triangle and a circle. They see the relationship between the arc and the angle.
Curated OER
Measure and Draw Angles
Six word problems provide practice for young geometers to review angles, the angle a of straight line, circles, right angles, and others. I like the approach of these questions; they require thinking and explaining, not just computation.