Area of a Circle Teacher Resources

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A second installment in a series on circles, this production demonstrates the process of finding the area of a circle. As an introductory tool, it is effective. However, it does not explain the reasoning behind the formula because that information will be covered in a later lecture.
There are basically two things you need to know to find the area of a circle. First, you need to use the correct formula. Second, you have to know the value of the radius. If you know these two things then all you have to do is plug the given value into the formula and do the math.
Students investigate how to input data into a TI. In this geometry lesson, students calculate the area of a circle and interpret the area through graphing. They identify quadratic regression as part of the experiment.  
When mathematical errors happen, part of the learning is to figure out how it affects the rest of your calculations. The activity has your mathematicians solving for the area of a circular pipe and taking into consideration any errors that may happen with measuring. The problem may be challenging for some learners to do on their own, so a group discussion would be beneficial as there multiple areas of measurement error. The answer key includes a detailed commentary that can be used as teacher notes for a lesson and to help guide the discussion. 
Use this lesson plan to help your geometers develop informal proofs of the circumference and area of a circle. Working in small groups, students rotate between three stations to complete hands-on activities that illustrate the relationships in the circumference and area formulas. The station activities include dissecting a paper plate, rolling a can to measure its circumference, and an exploration of relationships using an online circle tool applet. A reflection sheet is provided for each learner to record observations and information about each station's activity. The lesson concludes with learners using their notes to individually write an informal argument for the circumference and area of a circle.
Learners discover the area of circles. In this circles lesson, students work to find the circumference and diameter of a circle. Learners compare the relation of the area of a circle to a square.
Pupils 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 instructional activity, students apply the concepts of perimeter and area to the solution of problem. Pupils apply formulas where appropriate to identify, measure, and describe circles and the relationships of the radius, diameter, circumference, and area.
Students explore the area of a circle.  In this area of a circle lesson, students construct a circle and find the length of its' radius.  Students plot the length of the radius v. area of the circle of their circle with varying radius length.  Students find a quadratic function to model the scatter plot of radius v. area.  Students determine the domain and range of their graph.
Young geometers explore the concept of circumference and area of circles. They discuss what information is needed to find circumference and area. The resource employs several instructional methods: Frayer Model for Vocabulary, literature connections, Think-Team-Share, Mix-Freeze-Pair, a game of Red Rover, and more. Several supporting materials are attached.
Students calculate the area of a circle. In this geometry lesson plan, students discuss the area and relationship of a circle to the unit circle. They derive trigonometric values using the unit circle.
In this area of a circle instructional activity, students are given the radius of a circle and the middle line of a triangle and they are to find the area. Students complete 12 problems.
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 for middle schoolers, I'd have them multiply the results completely.
Bring your math class around with this task. Learners simply identify parts of a given circle, compute its radius, and estimate the circumference and area. It is a strong scaffolding exercise in preparation for applying the formulas for the area and circumference of circles.
Students discover the area formula for circles from their knowledge of parallelograms.
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.
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 the formula.
Seventh graders use various resources to find the area of a circle.
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine the current storage capacity and design a new storage facility to use for an anticipated increase in production. The activity uses knowledge of the Pythagorean Theorem, area of a circle, properties of triangles, understanding of volume, unit analysis, and percentage increase.  
Cut up a circle and make a parallelogram! What? No way! Yes way! Watch the instructor illustrate just how to cut up the circle and get that parallelogram to then get the formula for the area of a circle. It really works! Base, circumference, height, radius, pi, put these all together to find the formula of the area of a circle.
Do you know the formula to find the area of a circle? Do you know the value of pi? Do you know what the relationship is between diameter and radius? Yes? Then you can solve this problem. If your scholars don't know this formula then this is a good way to introduce them to all the variables in the formula.

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Area of a Circle