Lesson Plan
Illustrative Mathematics

Stained Glass

For Teachers 7th - 9th Standards
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...
Instructional Video21:05
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Flipped Math

Circles and Arc Lengths

For Students 9th - 12th Standards
Discuss all things round and round. Pupils review finding area and the circumference of circles and use them to solve problems. Next, they learn about central angles and their relationships to measures of arcs. Learners then find out how...
Lesson Plan
Curated OER

Geometry and Measurement

For Teachers K - 5th Standards
Young geometers explore relationships between units of measure and objects. Three activities provide varied opportunities to practice. Learners calculate the volume of two cylinders made by rolling a piece of paper vertically and...
Lesson Plan
Curated OER

Mensuration: Area

For Teachers 7th - 9th
For this area worksheet, students read story problems, draw diagrams, and find the area of described polygons. This eight page worksheet contains six problems. Answers are provided.
Worksheet
Curated OER

Chapter 6: Geometry Perimeter and Area

For Students 10th - 12th
In this perimeter and area worksheet, students find the perimeter of various polygons.  They compute the perimeter, surface area, circumference, and volume of given figures.  Students explore trigonometric ratios.  This...
Worksheet
Math Mammoth

Circle

For Students 7th - 8th
For this circle worksheet, students find the area and circumference of circles and compare their size using percents. Students determine the are of composite figures made of circles and rectangles. This one-page worksheet contains six...
Lesson Plan
Curated OER

Covering and Surrounding

For Teachers 5th - 6th
Students develop techniques for estimating the area of a circle and use ideas about area and perimeter to solve practical problems. In this area and perimeter lesson, students apply the concepts of perimeter and area to the solution of...
Lesson Plan
Curated OER

Finding the Circumference and Area of a Circle

For Teachers 6th
Sixth graders discover what circumference is.  In this measurement lesson, 6th graders identify the radius and diameter of different circles. Students discover how to find the area of a circle using the radius and diameter.
Lesson Plan
Curated OER

History and the Approximations of pi

For Teachers 7th - 8th
Middle schoolers investigate Pi. In this mathematics lesson, learners discuss the history of Pi and determine how the approximation of Pi was discovered.
Lesson Plan
Curated OER

Fill and Wrap It Up

For Teachers 6th - 8th
Students find the surface area and volume of the solid figures by measuring the length and the height of each face and base. They use concrete models to derive formulas for finding perimeter, circumference, area, surface area, and volume...
Lesson Plan
Curated OER

Area of Circles and Probability

For Teachers 8th - 12th
Students investigate the area of squares and circles. In this geometry lesson, students calculate the area and probability of simple events. They work on a laptop using Safari.
Worksheet
Curated OER

Effects of Changing Dimensions Proportionally

For Students 9th - 10th
In this geometry worksheet, students describe the effect of a proportional change on the perimeter or circumference and area of the given circles or quadrilaterals.  The one page worksheet contains ten problems.  Answers are...
Activity
101 Questions

Best Circle

For Teachers 9th - 12th Standards
Drawing the perfect circle is harder than one would think! What makes a circle a circle and how can you define that with a formula? Young mathematicians devise their own methods of analyzing the imperfections of circle drawings. Using...
Interactive
Curated OER

Circles

For Students 10th
In this geometry learning exercise, 10th graders determine the circumference and area of a circle given either the diameter or the radius. The one page interactive learning exercise contains ten questions. Answers and hints are...
Worksheet
Curated OER

11.4 Practice B: Circumference and Arc Length

For Students 9th - 12th
In this circumference and arc length worksheet, students determine the circumference, radius, and arc length of circles. They find the area of a shaded region within a circle. Students determine the probability that a randomly chosen...
Worksheet
Curated OER

Calculate Area Using Pi

For Students 7th - 9th
Geometers find the area of four circles given their circumferences. Circumference is presented in the form of "numeral (diameter) x pi"; the answer key shows solutions as  "numeral (radius squared) x pi," so computation is...
Worksheet
Curated OER

Area of a Circle When Radius is Given

For Students 5th - 8th
Five problems provide practice for learners to find the area of a circle given the distance of the radius. Answers on the key use pi as a variable and do not include fully computed numeric answers. To reinforce basic multiplication facts...
Worksheet
Curated OER

Area of Circle Worksheet

For Students 6th - 10th
Given the diameter of a circle, learners are charged with finding its area. They halve the diameter, square it, and multiply by pi. Five problems provide basic practice. 
Lesson Plan
Curated OER

Exploring Diameter and Circumference

For Teachers 9th - 12th Standards
Learn how to identify the diameter and circumference of a circle. Then, collect data on a circle and relate it to the diameter and circumference of a circle. Last, plot data and find the line of best fit.
Lesson Plan
Curated OER

Let's Gather Around the Circle

For Teachers 9th - 12th Standards
Scholars explore the relationship between circumference and diameter. Groups of learners measure the diameter and circumference of round objects and record their data on a given worksheet. They then input the data into their graphing...
Lesson Plan
Curated OER

Circles And Cylinders

For Teachers 6th - 8th
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...
Lesson Plan
Curated OER

Circumference and Area of Circles

For Teachers 5th - 6th
In this math worksheet, students learn to calculate the area and circumference of a circle. Students answer 4 word problems after reading the information and studying the examples.
Lesson Plan
EngageNY

Proving the Area of a Disk

For Teachers 9th - 10th Standards
Using a similar process from the first instructional activity 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...
Lesson Plan
Curated OER

Around the Clock

For Teachers 6th - 8th
Students discover the relationship between the circumference of a circle and its diameter. They find the length of an arc of a circle.Students use estimation strategies in real-world applications to predict results (i.e., interpolation...

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