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Grade 7, Math
Std #9:
Solve problems involving circumference and area of circles.
  • Estimating circumference, diameter, and area
  • Determining appropriate units of measure to describe circumference, diameter, and area
  • Measuring circumference and diameter using customary and metric units
  • Using circumference and diameter to approximate the value of π
  • Identifying π as an irrational number
  • Developing formulas for determining circumference and area

Lesson Plans:

What is Pi? A "Cool" Lesson
Students will use jar lids to explore circumference.

Geometry: Circumference
Learn how to calculate the circumference of a circle also known as a perimeter of a circle.

Pump Up the Curriculum with Pumpkins! - Pumpkin Math
Students will compare pumpkins by weight and circumference

Measuring the Earth
Eratosthenes, a Greek mathematician, was the first to measure the circumference of the earth.  Students will investigate measuring the circumference of the Earth.

Finding the circumference given the radius
Students will find circumference when given the radius of a circle

Egg Wrap
Students use measurement, estimation and circumference skills to complete classroom project.

The Cylinder Problem
Students will build a family of cylinders and discover the relation between the dimensions of the generating rectangle and the resulting pair of cylinders.

Can I Travel to the End of Pi?
Students will discover Pi in this activity by measuring the diameter and circumference of various circular items.

Bringing the Solar System Down to Earth: 
Students will develop a scaled-down model of the solar system.

How Do Scientists Measure the Earth

 

Resources:

Investigating Circles: 
Part of a geometry unit. Scroll down to Day 129.

Pi: 
The geometry of circles is based on the ratio known as pi. Help your students learn how to use this fascinating number.

Circumference of a Circle: 
Instruction and online practice. Includes vocabulary

Finding the Value of Pi: 
This site explains how mathematicians have examined circles to determine the relationship between radius, diameter and circumference.

Measuring Circles: 
This lesson allows students to measure many circles to try to discover if there is a relationship between circumference and diameter.

The Capacity of the Planets: 
Using the formula for the volume of a sphere, students compare the capacities of the nine planets in our solar system.

Experiment with Volume:
Students hypothesize about, measure, and then calculate the volumes of two cylinders formed from the same size sheet of paper.

Understanding the Pythagorean Relationship Using Interactive Figures:
The interactive figure in this activity helps students understand the Pythagorean relationship and gives them experience with transformations that preserve area but not shape. 

Learning About Length, Area, Perimeter, and Volume of Similar Figures Using Interactive Figures: 
Using this interactive figure, students have an opportunity to experiment with rectangles of different shapes and scale factors to observe and interpret the changes in perimeter and area.

Architectural Clues
Students design and build models of buildings.

Geometry Formula: 
A comprehensive listing of all the different formulas you need to know to find the area of polygons.

Perimeter and Area: 
A series of graphics that illustrate the relationship between area, volume, and perimeter of various geometric figures.

Measurement Formulas Library of two and three dimensional formulas.

Space Station Module Planning: 
Students explore NASA's website and make scale drawings before making actual models of space station models.

Educational JAVA Programs: 
This Web site contains Java™ applets that can be used as tools to help and enhance the education of children.

 

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