Curated OER
Circles Terminology Multiple Choice
In this circles worksheet, students solve 10 multiple choice problems. Students answer questions about diameter and chord relationships, tangent lines to a circle, circumference, the Pi relationship, etc.
Curated OER
Chapter 8: Circles
For this circles worksheet, students define and sketch 20 terms about circles. Students sketch radii, chords, diameters, secants, concentric circles, etc.
Curated OER
The Area of a Circle
Eighth graders find the circumference and diameter of several lids, show the relationship of the two measurements and derive the formula for finding the area of a circle. In this area of a circle lesson plan, 8th graders find...
Curated OER
3D Shapes
In this 3D shapes worksheet, 10th graders solve and complete 6 various types of problems. First, they find the radius of a cylinder described. Then, students determine the volume of a pyramid shown. In addition, they find the volume of...
Curated OER
Details from an Exploding Star
In this nebula worksheet, students read about the Crab Nebula and calculate the average speed of the expanding gas. They determine the size of the smallest clumps of gas and they draw the diameter of the solar system to scale.
Curated OER
Arcs and Sectors
In this arcs and sectors worksheet, 10th graders solve and complete 2 different types of problems. First, they find the radius of a circle with a given circumference. Then, students find the perimeter of the given sector and the area of...
Curated OER
Circles and Ellipses
In this circles and ellipses worksheet, students solve and complete 12 different types of problems. First, they find the distance between the given pair of points. Then, students find the center and radius of each circle and sketch. They...
Curated OER
Skills Practice: Area of Circles
Two practice pages with 10 problems each show circles and give their radii. Learners calculate the area. Answers are provided.
Virginia Department of Education
Going the Distance
Estimate the value of one of the most famous irrational numbers. The hands-on lesson plan instructs classmates to measure the circumference and diameters of circles using yarn. The ratio of these quantities defines pi.
Illustrative Mathematics
Coins in a Circular Pattern
What starts as a basic question of division and remainders quickly turns abstract in this question of related ratios and radii. The class works to surround a central coin with coins of the same and different values, then develops a...
Concord Consortium
Bicycle Chain
Model a bicycle chain with circles and tangent lines. Given the dimensions of the sprocket wheels, young scholars calculate the length of the chain that surrounds them. A second task has learners write a function for the length of a...
Illustrative Mathematics
Right Triangles Inscribed in Circles II
So many times the characteristics of triangles are presented as a vocabulary-type of lesson, but in this activity they are key to unraveling a proof. A unique attack on proving that an inscribed angle that subtends a diameter must be a...
EngageNY
Arcs and Chords
You've investigated relationships between chords, radii, and diameters—now it's time for arcs. Learners investigate relationships between arcs and chords. Learners then prove that congruent chords have congruent arcs, congruent arcs have...
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...
Math Mammoth
Circles
Your class examines a series of shapes and discusses how we know that they are not circles. In this way, you begin to acquaint them with the properties and parts of this geometric figure. Then, teach them how to use a protractor to...
Curated OER
Circles
In this circles learning exercise, 10th graders solve and complete 16 various types of problems. First, they state the center and radius for the given equation and graph. Then, students determine if each point is on the circle, in its...
Curated OER
Area Of Circles
In this math worksheet, students complete 12 problems where they find the radius and the area of circles. Examples are given in this well-designed worksheet.
Curated OER
Exploring Diameter and Circumference
Learn how to identify the diameter and circumference of a circle. Then, collect data on a circle and relate it to the diameter and circumference of a circle. Last, plot data and find the line of best fit.
Texas Instruments
Area of Circles
High schoolers explore circles. In this algebra/geometry lesson, students discover the formula for the area of a circle, as they investigate the ratio of the area of a circle to the radius^2.
Curated OER
Making Models of the Solar System
Students make several models of the solar system to learn the positions of the planets in the solar system as well as relative distances and sizes. Creation of these models will help them identify the planets by size, shape, color,...
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...
Curated OER
Discovering Pi
Define terminology related to a circle. Practice accuracy in measuring and then create a spreadsheet based on data collected from solving for parts of a circle. Groups can have fun analyzing their data as it relates to Pi.
Curated OER
Measuring the Area of a Circle
When mathematical errors happen, part of the learning is to figure out how it affects the rest of your calculations. The activity has your mathematicians solving for the area of a circular pipe and taking into consideration any errors...
CK-12 Foundation
Equations of Circles: The Sea of Happiness
Map this! Help your young mathematicians draw a circular island on a map. Given specifics of the location and size of an island on a map, pupils transform a circle to meet the given requirements. They then determine the location of the...
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