Type:

Other

Description:

In this two-lesson unit, students discover the circumference and area formulas based on their own investigations. After measuring the circumference and diameter of several circular objects, they calculate the ratio of circumference to diameter for each object in an attempt to identify the value of pi and the circumference formula. In the second lesson, they use a circle that has been divided into congruent sectors and discover the area formula by using their knowledge of parallelograms. Online links allow students to investigate the history of circle measurement and solve problems using it. All handouts, extensions, and assessment options are included.

Subjects:

  • Mathematics > General

Education Levels:

  • Grade 1
  • Grade 2
  • Grade 3
  • Grade 4
  • Grade 5
  • Grade 6
  • Grade 7
  • Grade 8
  • Grade 9
  • Grade 10
  • Grade 11
  • Grade 12

Keywords:

Informal Education,Middle School,Grade 7,NSDL_SetSpec_ncs-NSDL-COLLECTION-000-003-112-016,oai:nsdl.org:2200/20120614151533303T,Mathematics,NSDL

Language:

English

Access Privileges:

Public - Available to anyone

License Deed:

Creative Commons Attribution Non-Commercial Share Alike

Collections:

None
Update Standards?

CCSS.Math.Content.7.G.B.4: Common Core State Standards for Mathematics

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

CCSS.Math.Content.7.G.B.6: Common Core State Standards for Mathematics

Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
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