EngageNY
The Volume Formula of a Sphere
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
Curated OER
Explaining the equation for a circle
By first starting with an explicit example of a radius and center point, this challenging lesson tries to help students gain an understanding of the Pythagorean theorem and the equation of a circle. Once they have accomplished the first...
Illustrative Mathematics
Eight Circles
We are used to finding the area of a circle by plugging the radius into an equation. Here, learners are required to go further to find multiple areas and calculate the difference. They must detect a pattern in order to figure out the...
Curated OER
The Circumference of a Circle and the Area of the Region it Encloses
Bring your math class around with this task. Learners simply identify parts of a given circle, compute its radius, and estimate the circumference and area. It is a strong scaffolding exercise in preparation for applying the formulas for...
Curated OER
Unit VIII: Worksheet 4 - Central Force
Send physics learners into orbit by assigning this seven-problem worksheet. They will calculate the mass of a satellite, construct a force diagram, determine the radius of the orbit, and more. Physics worksheets can become wearisome, but...
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...
EngageNY
Recognizing Equations of Circles
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...
Curated OER
How To Build a Planet From The Inside Out!
High schoolers read about the Spitzer Space Telescope and the technology used to learn about planet composition. They calculate the radius of a planet, the size of a planet, the average density of a planet and the likely core composition...
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...
Mathematics Assessment Project
Propane Tanks
As an assessment task, learners must determine the radius of a new tank that has double the capacity of a given tank. Task tests knowledge of determining volumes of cylinders and spheres.
Balanced Assessment
Boring a Bead
How much material is in a bead? Class members utilize volume formulas to determine the amount of material in a bead. The goal of the assessment is to show that the amount of material left in a bead is the same for all beads with a...
eSkeletons
Matching: Adult, Homo Sapiens
Looking for a basic skeleton-system-matching instructional activity? You've found it! Kids color in the skeleton bones with different colors before matching each bone to its correct name. The vocabulary isn't simple here;...
West Contra Costa Unified School District
Finding the Equation of a Circle
Tired of going around and around for a resource on circles? Scholars determine the general equation of a circle on a coordinate plane, then participate in an activity matching equations to the radii and centers of the circles...
Curated OER
"Slice of Pi with Neo-Excel"
Students explore diameter, radius, and circumference. They define radius, diameter, and circumference on an online dictionary, identify objects in the room with a radius and a diameter, and calculate the radius and diameter of various...
Curated OER
Square Circles
Students analyze and demonstrate how a circle can be measured in square units and examine how diameter, circumference and radius are related.
Curated OER
Basketball Measurements
In this basketball court measurements worksheet, students complete16 various types of problems using the illustrated basketball court at the bottom of the sheet. They find the diameter and radius of the smaller jump circle on the court....
Curated OER
Circles
Students review the definition of a circle and the general formula for a circle to specific problems. They also write the equation for a circle given the center and radius of the circle. Students then define a circle using either the...
Curated OER
Kinematics of the Planar Continuum Snake Robot
Students calculate the length of an arc that surrounds an angle at the center of a circle of radius. In this kinetic equations instructional activity students complete a lab and solve a kinematic equation.
Curated OER
Radius, Diameter and Circumference of Circles
In this circles activity, learners calculate either the radius, diameter and circumference of a set of 4 circles, one measurement is given for each circle, students calculate the remaining 2.
Curated OER
Math and Circumference
Sixth graders explore geometry by utilizing mathematical formulas. In this circumference instructional activity, 6th graders identify the difference between diameter, circumference and radius in a circle. Students review the formulas for...
Curated OER
Space Circles
Fifth graders calculate the diameters and radius of planets as a book is read to them. In this diameter and radius lesson plan, 5th graders read the book Space Circles and calculate the measurements based on the information in this book.
Curated OER
Circles and Pi
Students identify the relationship between the radius and Pi. In this geometry lesson plan, students calculate the circumference and area of a circle. They create visuals to help them see how the circumference relates to Pi.
Curated OER
Perimeter and Area
In this perimeter and area worksheet, 9th graders solve 17 various types of problems, mostly word problems related to determining the area or perimeter of a geometric shape. They also determine the area and perimeter of shaded portions...
Curated OER
Geometry Concepts and Applications
In this concepts and applications review worksheet, 10th graders solve and complete 40 various types of multiple choice problems. First, they write the equation of a vertical line passing through a point. Then, students find the...
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