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...
Curated OER
Positive and Negative Angles and Arcs
To better understand that the intersection point of two lines lies inside a circle, learners use their keen measurement skills. They discuss arcs, rays, tangent lines, and reflex angles. Then, they put their skills to work as they...
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
A very basic presentation on the vocabulary associated with circles has come around. Math whizzes see definitions and examples of the radius, diameter, chord, and central angle of a circle. The last slide says "practice time," but there...
Flipped Math
Chords and Arcs
Congruence breeds congruence. Pupils learn three more circle theorems dealing with congruent chords and arcs. Learners use the theorems to find the measures of chords and arcs in circles by applying previously learned concepts in the...
Curated OER
Area and Perimeter
Learners find the area and perimeter of regular polygons and composite figures and examine the effect on the area and perimeter of a figure if the dimensions are multiplied by a constant. The nine page worksheet contains thirty-seven...
Curated OER
Pairs of Angles
For this geometry worksheet, 10th graders determine the measures of various angle pairs: supplementary, complementary, and vertical angles. The two page worksheet contains a combination of twelve multiple choice and free...
Curated OER
Circles Terminology Multiple Choice
In this circles worksheet, learners solve 10 multiple choice problems. Students answer questions about diameter and chord relationships, tangent lines to a circle, circumference, the Pi relationship, etc.
Mathed Up!
Circle Theorems
Explore theorems involving circles. Individuals watch a video that reviews the basic parts of a circle. They learn about circle theorems and compete a worksheet of problems that use these theorems — putting their skills to work right away!
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.
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...
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 worksheet, 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
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.
Curated OER
Geometry Circles
In this circle 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 activity contains 45 problems. Answers are provided on page two of...
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...
Houghton Mifflin Harcourt
Unit 5 Math Vocabulary Cards (Grade 6)
Acute angle, line of symmetry, and vertex are a few terms you'll find in a set of 90 flashcards designed to reinforce math vocabulary. Included in the set are two types of cards; a word card printed in bold font, and a...
Curated OER
Arc Measurement Based on The Measurement of a Central Angle
Students define keywords that are important to solve problems. In this geometry instructional activity, students find the arc length and angle of a circle. They convert between radians and degrees.
Mathed Up!
Pie Charts
Representing data is as easy as pie. Class members construct pie charts given a frequency table. Individuals then determine the size of the angles needed for each sector and interpret the size of sectors within the context of frequency....
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
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
Properties of Arcs, Lengths and Chords
Students differentiate between the different properties of arcs, arc lengths, chords, and chord lengths. In this circles lesson, students calculate the arc length of a given circle, and find the measure of the inscribed angles of a...
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.