How To Find The Area Of A Circle 7th Grade

Discussion/Introduction

This is the 3rd lesson in a serial on circles. Information technology follows the Elements of a Circle Lesson Program seventh Grade and the Understanding Pi Lesson Program 7th Grade. When all iii lessons are done, students should take a firm understanding of what makes a circle, what pi represents, and how to find the surface area and circumference of a circle. This lesson does require that students are comfortable with pi and does let for differentiation and writing.

Objective

• Students will understand that pi is the ratio .
• Students volition be able to find the area and circumference of a circle.
• Students will empathise the connectedness between the area of a square and the area of a circumvolve.

Supplies

• "The Ripple Result" Worksheet
• Calculators
• Pair of scissors (1 pair per grouping of 4)
• Glue stick (1 per group of 4)
• 3 different colored sheets of square paper (origami paper works well) per group of 4 students
• "Area of a Circle" Worksheet
• Student's Circle Foldables from the last 2 sessions (started in Elements of a Circle Lesson Plan 7th Grade)

Methodology/Procedure

Agreement Circumference

1. At this betoken, students should understand the following points. If this lesson is existence done on a unlike day, I recommend reviewing these central points before kickoff the day's lessons. All information should be found on the students' foldables.
   1. Circumference is the distance around a circle.
   2. The diameter is the distance beyond the circle, passing through the center.
   3. The radius is the distance from any point on the circumvolve to the center.
   4. Diameter is ii times the radius.
   5. Pi is the ratio .
   6. Pi tin be approximated to iii.14.
2. Get students into collaborative groups of 4 students and laissez passer out "The Ripple Effect" Worksheet. Notation that the outset ii pages are very guided. The numbers may crave calculators however it is all the same scaffolded. The final two pages may be used as either enrichment or equally a follow up homework/family involvement assignment.
3. Add the circumference information to the Circle Foldable.
4. Homework/Review for this session can exist a worksheet on circumference.

Understanding Surface area of a Circumvolve

1. Have students stay with their foursome from the previous activity.
2. Laissez passer out 3 congruent square sheets of paper in unlike colors to each group, a pair of scissors, and a mucilage stick.
3. Have 1 educatee from the group fold 1 sheet in one-half and then in one-half once again ("snowflake fold"). From this point, accept the educatee cut the shape of a quarter circle. Exist careful that they cut off the "open flap" side. This needs to exist the biggest circle possible so the arc will become to both corners. Recommend that they really cut wide or the circle volition be misshaped. Yous will want some actress sheets on manus. Glue this circle on top of the foursquare with the folds horizontal and vertical. (Included is a sheet with images for the Square/Circle/Diamond Cutting Outs.)
4. Have another educatee fold the tertiary sheet in half and then in half again ("snowflake fold"). From here have the student cut from ane corner to its diagonal corner. Be careful that they cutting off the "open flap" side. This should grade a diamond/rhombus/square. Mucilage this diamond on tiptop of the circle with the folds horizontal and vertical.
5. Lead a short class discussion on the shapes and epitomize their properties.
6. Have another student cut the large shape into four equal parts. Each pupil will get one part.
7. As a course discussion, enquire the following questions:
   1. What shape do nosotros have on the bottom?
   2. If the square represents our whole, what fraction of the whole is the triangle? How do you lot know?
   3. Does the quarter circle have a greater or smaller area than the triangle? How practice y'all know?
   4. Since the quarter circumvolve has a greater area than the triangle, is it greater than or less than ½ of the area of the square?
   5. Does the quarter circumvolve have a greater or smaller surface area than the square? How do you know?
   6. Since the quarter circle has a smaller surface area than the square, is it greater than or less than 1 of the expanse of the square?
   7. Can nosotros put that into the form of a compound inequality? The quarter circumvolve is greater than _________ of the square just less than __________ of the square.
8. Pass out the "Area of a Circle" Worksheet: Have students piece of work as a group on the first half. Lead a class discussion for the back side.
9. As a summation for the day, have students add information about the area of the circle to their Circle Foldables.
10. Homework/Review for this session can be a worksheet on the area of a circle.

Download Lesson and Printables

Mutual Core Standards

CCSS.MATH.CONTENT.7.G.B.4

• Know the formulas for the surface area and circumference of a circumvolve and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circumvolve.

Addresses all 8 Standards for Mathematical Practice

How To Find The Area Of A Circle 7th Grade,

Source: https://www.mathwarehouse.com/topic/understanding-circumference-area-circle-lesson-plan-7th-grade/

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