Mascil Project
Circular Pave-Stones Backyard
Pack the lesson into your plans. Young mathematicians learn about packing and optimization with the context of circular paving stones. They use coins to model the paving stones, and then apply knowledge of circles and polygons to...
Mathematics Assessment Project
Circles and Squares
Squares, and circles ... and squares, and more circles. For this high school assessment task, pupils investigate the ratio of areas of two squares that are circumscribed and inscribed in a circle. They then determine the ratio of the...
EngageNY
Properties of Area
What properties does area possess? Solidify the area properties that pupils learned in previous years. Groups investigate the five properties using four problems, which then provide the basis for a class discussion.
Curated OER
The Geometry Of An Ox Skin
High schoolers investigate the concepts of area and perimeter. The activity uses a legend to create a context for the proposed word problem. They use the skill of estimation in order to create an ox skin that is found in the story.
Curated OER
The Two Circles Problem
In this area of a circle learning exercise, students determine the ratio of common area when two circles overlap and each passes through the center of the other. A detailed sollution is included.
Curated OER
Finding The Area
In this geometry instructional activity, students calculate the area of a given shape. They use the formulas for squares and circles to help them find the area. There are 2 questions with an answer key.
Curated OER
Perpendicular Segments in a Circle
High schoolers explore the concept of circles as they construct a circle using a program such as Cabri Jr. Learners construct a chord and a diameter that are perpendicular, then measure the bisected chord and notice that both sides of...
Curated OER
Geometry Worksheet: Area (4)
In this geometry worksheet, students calculate the shaded area of given shapes. They determine the area around a circle, a portion of a rectangle, and composite figures. THis one-page worksheet contains two multi-step...
Curated OER
Circumscribing a Circle About a Triangle
Pupils circumscribe a circle about a triangle. They construct a triangle using Cabri Jr and then circumscribe it. They then use knowledge of perpendicular bisectors and circumcenters to locate the center of the circle and then...
Curated OER
Construction Circles
Pupils investigate the number of points needed to determine a unique circle in a plane. Using Cabri Jr., they apply construction techniques to generate a circle that passes through a given number of points.
Curated OER
Online Math Learning: Surface Area of Spheres
In this surface area of spheres worksheet, students solve 4 short answer problems. Students find the surface area of spheres, hemispheres, and cones given a radius or a radius and height.
101 Questions
Apple Mothership
Explore Apple's spaceship office building. Built in the shape of a circle, the office building offers a unique floor plan challenge. Young scholars use the dimensions of the building to estimate the square footage for each employee.
Alabama Learning Exchange
How Big Can a Bee Be?
Mathematicians analyze the relationships between surface area and volume. They conduct Internet research, conduct various experiments, record the data in a spreadsheet, and graph the results and compare the rate of increase of surface...
Curated OER
Circumference and Area
In this circumference and area worksheet, 6th graders find the circumference and area of circles when the diameter is given. Students complete 9 problems.
Curated OER
Finding PI
Students select and use appropriate operations, methods and tools to compute or estimate using whole numbers. They develop and use formulas for determining the circumference and area of circles. Students determine and describe the...
Curated OER
Chapter 8 Worksheet 3 Circumference & Area
In this circumference and area worksheet, learners determine the circumference and area of given circles. They find the area of shaded regions of circles and areas around circles. This two-page worksheet contains 18 multi-step problems.
Curated OER
Lesson 9-3 Practice B: Composite Figures
In this composite figures worksheet, students solve 11 short answer problems. Students find the area of figures composed of various polygons. Students find the area of each figure given a sketch of the figure with various measurements...
Curated OER
Area, Perimeter, Volume Formulas
In this formulas worksheet, learners write the area, perimeter, and volume formulas of 17 2D and 3D polygons. Students list properties of various types of triangles and the metric conversions for metric units.
Curated OER
Dan's Badge
Students solve a math problem using area formulas of circles and squares. They read and discuss the problem, analyze images of badges, reconstruct the badge from the problem using circles and rulers, and share the solution with the class.
Virginia Department of Education
Going the Distance
Estimate the value of one of the most famous irrational numbers. The hands-on lesson instructs classmates to measure the circumference and diameters of circles using yarn. The ratio of these quantities defines pi.
Flipped Math
Sectors and Segments
It's a piece of pizza! Pupils learn about a sector of a circle as a slice of the circle and determine how to find its area. Scholars continue to find out how to calculate the segment of a circle based on the sector's area. At the end,...
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.
CK-12 Foundation
Volume by Disks: The Vase Case
Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...
Math Mammoth
Circle
For this circle learning exercise, students find the area and circumference of circles and compare their size using percents. Students determine the are of composite figures made of circles and rectangles. This one-page learning exercise...