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...
Balanced Assessment
Triangle in Circle
Even kindergartners can draw triangles in circles, but the assessment task requires a bit more geometric knowledge. Scholars investigate triangles that have a diameter of a circle as one of its sides. They must consider triangles that...
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 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
Solving Problems with Circles and Triangles
After completing a task involving examining the ratio of areas of triangles and circles in a given figure, scholars examine sample responses to identify other strategies they could use to solve the problem.
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...
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 lesson 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
Area Of A Circle
Fifth graders experience a lesson plan to investigate the methods for finding the area of a circle. They use the drawing of segments in order to visualize how a circle can be proposed of many parts. Then students brainstorm in order to...
Curated OER
Circles: Circumference and Area
For this circle worksheet, students calculate the circumference and area of given circles. They determine the perimeter of a shaded area, and give explanations to support problems. This two-page worksheet contains 3 multi-step problems.
Houghton Mifflin Harcourt
Similar Polygons and Circles
In these similar polygons and circles worksheets, students complete 15 questions including 9 word problems regarding similar polygons. Students then complete 15 questions including 1 word problem involving circumference, area, and arc...
Curated OER
Connecting Area Formulas Produces a Beautiful Formula
In this math worksheet, young scholars find the area of the triangle using the formula of 1/2 bh. Then they find the area using an alternative method.
Curated OER
Circles And Cylinders
Students investigate some of the mathematical concepts involved in the study of circles. They first practice finding the circumference of a circle by finding the diameter and performing the calculation. The lesson delivery is done using...
Curated OER
Area and Circumference of Circles
Eighth graders find the area and circumference of circles. For this area and circumference of circles lesson plan, 8th graders follow a step by step lesson and then demonstrate the skills on their own with circles they are given.
Curated OER
Six Activities Regarding Circles and Cylinders
In this circles and cylinders worksheet, students complete six activities answering sixteen questions. These activities include a discovery of the ratio of circumference to diameter and the formula for area of a circle. The...
Curated OER
Calculate the Area
In this area of a circle worksheet, 6th graders must calculate the area of 5 circles given either the radius or diameter. Students must write the area on the line provided and a blank space is provided for students to work out the...
Curated OER
Area of a Circle Worksheet
In this geometry worksheet, 6th graders identify the area of the four given circles by using the given diameters. There is a space for students to show their work.
Curated OER
Finding The Area
In 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
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
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.
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