February 29, 2016

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Resources about Pi

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Janet Pinto

February 29, 2016

Understanding the equation for finding circumference helps you solve measurement problems in every day life.

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Learn how to find the area of a figure without sides (circles)

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These two books by R. Dhanalakshmi Sarva Jagannadha Reddy relate to additional ways to calculate pi.

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This unit provides students with the opportunity to measure various objects and use their data to determine area, volume, radius, diameter, and density. They will use Math rulers, protractors, and Vernier Calipers to make their measurements rounding to four different scales. They will measure the radius and diameter of a cylinder and use Pi to calculate the area of various cylindrical objects. Students will measure the circumference and determine the surface area of a sphere and using the thickness of the wall of a hollow sphere, determine the volume inside the sphere as well. The mathematical skills emphasized in Intermediate Level Measurement are measuring, collecting data, and calculating for volume, area, and density. This collection is available as downloadable PDFs, but portions of the content are found in wiki format (see WIKI Learning Experiences and Resources) which can be edited or built up with other materials on the same topic by members of the Curriki community. More About CABOCES Welcome to the Math, Science, and Technology Department (MST) of Cattaraugus Allegany Board of Cooperative Educational Services (CA BOCES). As a department of Instructional Support Services (ISS), we provide Math, Science, and Technology kits along with support services to meet the needs of the individual districts in our area. The BOCES Teaching and Learning Center at Allegany provides hands-on math, science, and technology kits to over twenty area school districts in Cattaraugus and Allegany counties. Our department provides forty-three different varieties of kit topics. The kits cover topics in math, life science, physical science, chemistry, and earth science. Each kit contains a teacher's manual, student activity book, materials inventory list, instructional video, and materials needed to complete each learning experience. Each kit aligns with the New York State standards and prepares students for the New York State assessments. Contact Information BOCES Teaching & Learning Center @ Allegany Math, Science, Technology & Health Dept. 80 N Fourth St, Third Floor Allegany, NY 14706 Phone: (716)-376-8272; Fax: (716)-372-0621 http://www.caboces.org http://www.mstkits.org http://www.nyreal.org

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Students will figure out how the different aspects of circles relate to one another.

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Lesson 5.1: Use Properties of Rational and Irrational Numbers In this lesson students will learn why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational and that the product of a nonzero rational number and in irrational number is irrational. Students will address how rational numbers and irrational numbers are alike and how they are different. For example, we use the ? in the formula for the area of a circle and the ? in the formula of an ellipse as an example of an irrational number. In this lesson we will calculate the area of a typical putting green on a golf course and the area of a track field, which is in the shape of an ellipse.

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Lesson 5.1: Use Properties of Rational and Irrational Numbers Track Races Activity Student Worksheet

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Pi

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Understanding the equation for finding circumference helps you solve measurement problems in every day life

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A problem involving the area of a crescent. Many students are surprised to discover that their answers do not involve pi.

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