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...
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...
Willow Tree
Area of Common Geometric Figures
Scholars can use area formulas, but can they apply what they know about area? The lesson challenges learners to think logically while practicing finding area of shapes such as rectangles, circles, parallelograms, triangles, and other...
Teach Engineering
Discovering Relationships Between Side Length and Area
Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...
Curated OER
Circles: Geometry Review Worksheet
Tenth graders solve and complete 14 different geometry problems. First, they find the area and circumference of a circle with a given radius. Then, they find the area between a circle and an inscribed equilateral triangle given the...
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
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
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.
Illustrative Mathematics
Designs
A resource that makes for excellent group work as middle schoolers explore the area and perimeter of different complex designs made up of squares and circles. The commentary gives a clear definition of perimeter, but suggests that group...
Curated OER
Area of Triangle using the Semi-Perimeter and Radius
Students investigate the properties of circles. In this geometry lesson, students calculate the area and perimeter of a triangle. They identify the perimeter and radius length of a circle.
Curated OER
Circles Area Perimeter and Circumference
In this circles worksheet, students calculate to find the area, radius, circumference and perimeter of circles. A reference web site is given for additional activities.
Raytheon
Geometry: Perimeter and Area
In this geometry worksheet, young mathematicians apply the formulas for the area and perimeter of polygons and circles to solve a variety of skills practice and problem-solving questions.
Curated OER
Geometry: Calculating the Area of a Circle
In this area worksheet, students use the perimeter or radius to determine the area of a circle. This one-page worksheet contains 8 problems. This worksheet may be produced in printed form. Answers may be viewed on-line.
Curated OER
Exploring Area/Perimeter Through Coordinate Geometry
Students explore area and perimeter through coordinate geometry using student literature, hands-on manipulatives, and the Internet.
Noyce Foundation
Pizza Crusts
Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...
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.
Curated OER
Finding Areas of Triangles, Rectangles, and Circles
Learners find the areas of geometric shapes. In this geometry activity students find and measure the sides, perimeters, and areas of quadrilaterals, triangles, and circles. Learners relate the measures to the others by using formulas.
Curated OER
Circles - Word Problems
In this geometry problem solving worksheet, students answer 8 words problems based on their knowledge of circles, circumference, radius, diameter, and perimeters. They show their work on the sheet between problems.
Curated OER
Square Circles
Students find the perimeter and diameter of given shapes. In this square circles instructional activity, students measure circles and squares. They explore the relationship between the circumference of a circle and its diameter. ...
Curated OER
Area, Perimeter, Volume Formulas
In this formulas worksheet, students 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
Volume and Surface Area of Right Rectangular Prisms
Students identify the formulas for three-dimensional figures. They use manipulatives to model problems. Students create foldables and explain volume and surface area. Students complete worksheets and classify solids. Students sing a...
Curated OER
Geometry: Shapes, Area, Perimeter
In this geometry worksheet, students match 5 shapes to several terms, determine the radius and diameter from 2 diagrams, and find the area and perimeter of 3 problems.
Curated OER
Looking at Circumference
Young scholars understand where the number for pi comes from. They understand and use the formula for circumference. Students measure the circles given out and the diameters of those circles and record the results on their worksheet.
Curated OER
Geography: Lengths, Perimeter, and Area of Similar Objects
Sixth graders explore characteristics of similar objects. Using attribute blocks, they explore the ratios of the perimeter, area and side length in similar shapes. They calculate and compare the area of shapes.