Curated OER
Circumscribed Polygons
Students investigate polygons and construct ferris wheels. In this geometry lesson, students create a circle and differentiate properties of circles and polygons. They compare the relationship between angles and circumscribed polygons.
Concord Consortium
Circumscribed Polygon
Trigonometry teachers often go off on a tangent, and here's a worksheet that proves it! First, young mathematicians use a formula with tangent to prove a formula correct for area. Then, they draw conclusions about the area of a circle...
EngageNY
Proving the Area of a Disk
Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference formula.
Curated OER
Areas of Polygons
Students calculate the are of regular polygons. In this geometry lesson, students create polygons on the computer and move it around to create different shapes. They explore the area of different polygons and how they inter-relate.
Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Curated OER
Inequalities
In this inequalities worksheet, 10th graders solve and complete 23 various types of problems. First, they find the area of an inscribed square in a circle shown. Then, students find the total area of the inscribed polygon and deduce...
Curated OER
The Overlooked Regular Pentagon
Tenth graders discuss the history of geometry as it relates to pentagons. In this geometry activity, 10th graders solve problems of a pentagon inscribed inside of a circle using ratio. They review other properties for shapes of polygons...
Curated OER
Infinite Secrets
Students duplicate the method that Archimedes used to estimate the value of pi. They complete a data table and find the approximate values of pi for three sets of polygons.
Curated OER
Developing an Understanding for Square Roots
In this algebra worksheet, students discover properties of squares while making squares with a Geoboard. There are two charts to complete and 15 questions.
Curated OER
Pape's Theorems
In this math worksheet, students find the length of the side of a regular hexagon whose area is numerically equal to its perimeter.
Curated OER
Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
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...
EngageNY
Cyclic Quadrilaterals
What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.
National Council of Teachers of Mathematics
Improving Archimedes' Method
For this Archmides' method instructional activity, students determine the area of a regular n-gon inscribed in a circle. They use sine and cosine functions to solve problems. This three-page instructional activity contains 4 multi-step...
Curated OER
History and the Approximations of pi
Middle schoolers investigate Pi. For this mathematics lesson, learners discuss the history of Pi and determine how the approximation of Pi was discovered.
Curated OER
Area Of A Circle
Fifth graders experience a lesson 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 derive...