EngageNY
What Is Area?
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and upper...
Curated OER
Surface Area, Who Needs it?
In this geometry lesson on cylinders, geometers explore how to find the smallest surface area for a given volume. They use their knowledge to relate it to the real world by making a model of a livestock tank.
Mathematics Assessment Project
Calculating Arcs and Areas of Sectors of Circles
Going around in circles trying to find a resource on sectors of circles? Here is an activity where pupils first complete an assessment task to determine the areas and perimeters of sectors of circles. They then participate in an activity...
Mathematics Vision Project
Module 5: Circles A Geometric Perspective
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
Concord Consortium
Strings and Areas
You'd be surprised what you can do with a string! The constraint is the length of string, and the task is to maximize area. Given a series of composite shapes, learners must create a formula for the maximum area for a specified...
Illustrative Mathematics
Stained Glass
A complex question looking for the total cost of a stained glass window by calculating area and circumference of a circle. With detailed components, this activity will challenge your designers to figure out if they have enough money to...
Mascil Project
Circular Pave-Stones Backyard
Pack the instructional activity 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...
Mathematics Assessment Project
Circles and Squares
Squares, and circles ... and squares, and more circles. In 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 area...
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.
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
Finding The Area
For this geometry worksheet, 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
Quiz: Area of Sector and Segment
In this area of sector and segment learning exercise, 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 learning exercise contains ten...
Curated OER
Chapter 8 Worksheet 3 Circumference & Area
In this circumference and area worksheet, students 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
Area of Figures That Include Circles
In this area worksheet, students calculate the perimeter and area of given complex figures. They determine the area of shaded regions, and find the distance between straight lines. This one-page worksheet contains 4 multi-step...
Curated OER
Find the Area of Four Shaded Figures that Include Circles
In this area worksheet, students calculate the area of four figures that each include circles. Students can check their answers and get hint by clicking on the "Check" or "Hint" button at the bottom of the page.
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.
Virginia Department of Education
Going the Distance
Estimate the value of one of the most famous irrational numbers. The hands-on activity instructs classmates to measure the circumference and diameters of circles using yarn. The ratio of these quantities defines pi.
CK-12 Foundation
Restricted Domain and Range: Restricted Circle Radius and Area
There's no restriction to how much your class can learn about domain and range. Users of an interactive adjust the radius of a circle to see its effects on the area. They note how restrictions in the domain (radius) relate to...
Flipped Math
Unit 9 Review: Area of Polygons
It's time to show what you know! Individuals first review finding the area of polygons using the formulas from parallelograms to regular polygons. They then brush up on finding the area and circumference of circles, as well as reviewing...
Curated OER
Area of Circle Worksheets
In this geometry worksheet, 10th graders calculate the area of circle give either the radius or the diameter. The one page interactive worksheet contains ten questions. Answers and hints are included.
Curated OER
Circles: Finding Circumference
For this circles worksheet, students find the circumference of 20 circles. Students find the circumference given the radius, diameter, and area of various circles.
Curated OER
Surface area of a cylinder
Students construct a cylinder made of paper with detachable bases. Then they are taught the formulas for finding the area of a curved surface and the total surface area of a cylinder. A great hands-on approach!
Curated OER
Easy Worksheet: Area and Circumference of Circles
In this area and circumference of circles instructional activity, students solve 4 graphing problems. Students graph a circle given an endpoint and center. Students find the area or circumference of the circle they graphed.
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