Curated OER
Area and Perimeter of Regular Polygons - An Extension
Pupils explore the relationship between area and perimeter of polygons.They measure the area and perimeter of regular polygons inscribed in a circle. Learners then discuss how as the number of sides of a regular polygon increase, the...
Curated OER
Around The Stop Sign
Students analyze a drawing of a regular octagon inscribed in a circle to determine angle measures, using knowledge of properties of regular polygons and the sums of angles in various polygons to help solve the problem. They use...
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...
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...
Curated OER
The Overlooked Regular Pentagon
Tenth graders discuss the history of geometry as it relates to pentagons. In this geometry instructional activity, 10th graders solve problems of a pentagon inscribed inside of a circle using ratio. They review other properties for...
Curated OER
Geometric Word Problems
In this geometric figures worksheet, 10th graders solve and complete 11 different word problems. First, they find the area of a regular octagon with a given side. Then, students find the area of each shaded region. They also find the...
Curated OER
Right Triangles
In this right triangles learning exercise, 10th graders solve and complete 5 various types of problems. First, they solve each of the triangles shown and find the area of each triangle. Then, students find the perimeter and area of the...
Curated OER
Geometric Figures
In this geometric figures learning exercise, 10th graders solve and complete 18 different types of problems that include various figures. First, they find the area of the figures shown if consecutive sides are perpendicular. Then,...
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
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
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
Area and Perimeter
In this area and perimeter worksheet, 10th graders solve and complete 18 various types of geometry problems. First, they find the area of a figure shown with consecutive sides perpendicular. Then, students find the area and perimeter of...
Curated OER
Find the Area
In this find the area worksheet, 10th graders solve and complete 18 different types of problems. First, they find the area of a figure with consecutive sides. Then, students find the area and perimeter of a square shown. They also find...
Curated OER
Traditional American Indian Lodges
Students explore the mathematical properties of traditional American Indian lodges. They examine the effect of increasing sides of a polygon, calculate the surface area of prisms and cylinders, and construct a classroom size pyramid...
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
Area of 2D Shapes
In this area worksheet, students commence solving for area of squares and rectangles, and continue to parallelograms and triangles, and continue again to rhombi and trapezoids and finish with circles, polygons, and shaded regions. There...
Curated OER
Moving On: Octagoning the Circle
Students explore circles through the use of octagons. They inscribe a circle in a regular octagon and find the area and perimeter of the hexagon with respect to the radius of the circle. Students present their findings to the class.
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.
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...
EngageNY
How Do Dilations Map Angles?
The key to understanding is making connections. Scholars explore angle dilations using properties of parallel lines. At completion, pupils prove that angles of a dilation preserve their original measure.
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...
Curated OER
Circles and Cylinders
In this circles and cylinders worksheet, 10th graders solve and complete 22 various types of problems. First, they collect data for a radius and circumference for several different circles and calculate the quantity. Then, students find...
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 2D Shapes Homework
In this geometry worksheet, students solve the area of 2D shapes starting with squares, rectangles, parallelograms, triangles, rhombi, trapezoids, circles, and ending with area of shaded regions. There are 20 questions.