Illustrative Mathematics
Representing Half of a Circle
Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, students are asked to determine whether or not one half of each circle is shaded. To support...
Curated OER
Area and Perimeter
Learners find the area and perimeter of regular polygons and composite figures and examine the effect on the area and perimeter of a figure if the dimensions are multiplied by a constant. The nine page worksheet contains thirty-seven...
Houghton Mifflin Harcourt
Developing Formulas for Circles and Regular Polygons
Formulas and procedures for finding the area and circumference are not provided on this handout, so it will be best used as a practice of already-acquired skills. It is a well-rounded assignment, however, as it includes diagrams,...
EduGAINs
Making Savvy Consumer Choices
It's never too early to learn about grocery budgeting. Middle schoolers delve into the world of consumer math with a lesson that focuses on both healthy choices and real-world math applications. Groups work together to form a grocery...
Curated OER
Finding PI
Students select and use appropriate operations, methods and tools to compute or estimate using whole numbers. They develop and use formulas for determining the circumference and area of circles. Students determine and describe the...
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
SuperShapes, Part 1; "Tri"ing Triangles
An outstanding instructional activity on triangles awaits your math scholars. Learners focus on the triangle, which is the strongest of all polygons. They see the role that triangles play in the design of buildings, and learn about...
Curated OER
Lesson 9-3 Practice B: Composite Figures
In this composite figures worksheet, young scholars solve 11 short answer problems. Students find the area of figures composed of various polygons. Young scholars find the area of each figure given a sketch of the figure with various...
Curated OER
Dan's Badge
Students solve a math problem using area formulas of circles and squares. They read and discuss the problem, analyze images of badges, reconstruct the badge from the problem using circles and rulers, and share the solution with the class.
Curated OER
Volume of Solids: Algebra/Geometry Institute
Use this volume of solids lesson to have learners find the surface area and volume of cylinders, pyramids, and prisms. They place cubes inside three-dimensional figures to determine the volume. Worksheets and answers are provided.
Curated OER
Parachutes, Circles and Pi...Oh My!
Students explore different size circles to discover the relationship between diameter and circumference. In this circles and Pi lesson, students construct simple parachutes using circle patterns of varying sizes. Students predict the...
Curated OER
The Geometry of Circles
Students review the parts of a circle, calculate the circumference and area of a circle, and create student-made tests on the geometry of circles using educational software.
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
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
Explora-Pond: Surface Area
Students estimate the surface area of a pond using ratios and chance methods of estimation. They gain insight into how well estimations based on chance outcomes match the average of a maximum area estimation and a minimum area estimation.
Curated OER
Comparing Area and Perimeter
Students solve problems by finding the perimeter and area of an enclosed area. In this geometry lesson, students differentiate between the area and the perimeter. They see how they relate and how to use it to maximize an enclosed area.
Curated OER
Length of an Arc and Area of a Sector
In this length of an arc and area of a sector worksheet, 10th graders solve and complete 12 different types of problems. First, they find the length of an arc in a circle with a given radius and central angle measure. Then, students find...
Curated OER
Area and Perimeter of Polygons
In this geometry worksheet, 10th graders calculate the perimeter and area using the specific formula for that polygon. There are 5 questions with an answer key.
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
The Surface Area of a Cylinder
Students measure the circumference of a cylinder. In this cylinder lesson plan, students use round container lids and flexible rectangles to measure the circumference of the cylinder. They put the shapes together to make their own...
Curated OER
Puck's Girdle
Fifth graders calculate the perimeters, areas, and volumes of everyday objects. They discuss the word problem involving Puck from the Shakespeare play "Mid-Summer Night's Dream," and invent and plan a method for solving the problem in...
Curated OER
Splitting the Penstock
Students investigate the best way to calculate the measurements of an area. In this geometry activity, students relate a large circle to a cylinder and its measurements. They use PVC pipes to gain hands on experience as they calculate...
Curated OER
Finding the Area Under A Curve with Random Probability
Students explore the concept of area under a curve. In this area under a curve lesson, students find the area under a curve using the Monte Carlo method using random points and probability. Students calculate the area under the same...
Curated OER
Circumference and Area of Circles
In this math worksheet, pupils learn to calculate the area and circumference of a circle. Students answer 4 word problems after reading the information and studying the examples.