Lesson Plan
EngageNY

Arc Length and Areas of Sectors

For Teachers 9th - 10th Standards
How do you find arc lengths and areas of sectors of circles? Young mathematicians investigate the relationship between the radius, central angle, and length of intercepted arc. They then learn how to determine the area of sectors of...
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...
Lesson Plan
Virginia Department of Education

Surface Area and Volume of a Cylinder

For Teachers 7th Standards
Surface area or volume? Pupils first review the difference between surface area and volume. They then use a two-dimensional net that helps them develop formulas for the surface area and volume of cylinders.
Instructional Video16:02
2
2
Flipped Math

Unit 9 Review: Area of Polygons

For Students 9th - 12th Standards
It's time to show what you know! Individuals first review finding the area of polygons using the formulas from parallelograms to regular polygons. They then brush up on finding the area and circumference of circles, as well as reviewing...
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...
Lesson Plan
Curated OER

The Area of a Circle

For Teachers 8th
Eighth graders find the circumference and diameter of several lids, show the relationship of the two measurements and derive the formula for finding the area of a circle. In this area of a circle lesson plan, 8th graders find...
Lesson Plan
EngageNY

Proving the Area of a Disk

For Teachers 9th - 10th Standards
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...
Activity
Noyce Foundation

Circular Reasoning

For Students K - 12th Standards
Examine the origin and application of pi in five different levels. The five lessons in the resource begin with an analysis of the relationship between the radius and circumference of a circle. The following lessons lead learners through...
Activity
Curated OER

Finding the Area of Polygons

For Teachers 3rd Standards
Third graders are exposed to finding the area of polygons by decomposing figures and recomposing them into rectangles. This strategy allows children to expand on their prior knowledge of constructing shapes by rearranging parts into...
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...
Assessment
1
1
Balanced Assessment

Square and Circle

For Students 9th - 12th Standards
To determine the dimensional change to quadruple the area, class members determine how to increase the dimensions of a square and a circle to increase the perimeter by a given factor. they then calculate the necessary factor to...
Worksheet
Curated OER

Skills Practice: Area of Circles

For Students 7th - 8th
Two practice pages with 10 problems each show circles and give their radii. Learners calculate the area. Answers are provided. 
Lesson Plan
Curated OER

Perimeter and Area Worksheet II

For Teachers 7th - 8th
In this perimeter and area worksheet, students find the perimeter and area of polygons. They use the proper formula to find the perimeter and area of circles, parallelograms, triangles, and rectangles. Students complete solve ten problems.
Unit Plan
Mathematics Vision Project

Module 5: Circles A Geometric Perspective

For Teachers 9th - 12th Standards
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...
Instructional Video15:48
2
2
Flipped Math

Sectors and Segments

For Students 9th - 12th Standards
It's a piece of pizza! Pupils learn about a sector of a circle as a slice of the circle and determine how to find its area. Scholars continue to find out how to calculate the segment of a circle based on the sector's area. At the end,...
Lesson Plan
Curated OER

Area and Circumference of Circles

For Teachers 6th - 7th
Students calculate the area and circumference of a circle as the lesson plan is presented through an animated Microsoft PowerPoint presentation. They then complete a project to review the previous day's material.
Assessment
Curriculum Corner

Area and Perimeter

For Students 3rd - 4th Standards
Get third graders excited to work find area and perimeter of unit squares, rectangles, and irregular shapes. A 36-page packet comes with task cards, graphic organizers, practice worksheets, printables with squares, exit tickets, and word...
Interactive
Curated OER

Circle Problems - Radius, Diameter, Circumference and Area

For Students 9th - 12th
In this online math instructional activity, students determine the radius, circumference, diameter and area of circles. This excellent resource allows the students to check their answers, and to get "hints" should they run into...
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...
Unit Plan
Mathematics Vision Project

Circles: A Geometric Perspective

For Teachers 10th - 12th Standards
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...
Lesson Plan
EngageNY

Decimal Expansion of Pi

For Students 8th Standards
Develop a better understanding of the value of pi. Learners explore the area of a circle using estimation and graph paper. While continuing to estimate the area of the circle using smaller and smaller grids, the number pi emerges. 
Lesson Plan
EngageNY

Real-World Area Problems

For Students 7th Standards
Not all structures take the shape of a polygon. The 21st lesson in a series of 29 shows young mathematicians they can create polygons out of composite shapes. Once they deconstruct the structures, they find the area of the composite figure.
Lesson Plan
EngageNY

What Is Area?

For Teachers 9th - 10th Standards
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and...
Lesson Plan
EngageNY

Solving Area Problems Using Scale Drawings

For Teachers 7th Standards
Calculate the areas of scale drawings until a more efficient method emerges. Pupils find the relationship between the scale factor of a scale drawing and the scale of the areas. They determine the scale of the areas is the square of the...

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