Circles

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ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

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Concept Map

[maximize]

Additional Resources[edit | edit source]

OER[edit | edit source]

  1. Web resources :
    1. maths is fun A good website on definitions for circles.
    2. Cool math For clear and easy definitions.
    3. Open reference Contains good simulations.
    4. Wikipedia Has good explanations on circles.
    5. Khan academy Has good educative videos.
    6. Arvind gupta toys Contains good information.
    7. nrich.maths.org Refer for understanding Pi.
  2. Books and journals
    1. School Geometry By Hall and Stevens. Part3 pageno 143. Contains basic definitions and proofs given by Euclid.
  3. Textbooks:
    1. Class 9 Mathematics contain simple description and theorems on circle
    2. CLASS 10
  4. Syllabus documents

Non-OER[edit | edit source]

  1. Web resources
    1. maths is funHere you get description of terms of circles
    2. Intersting facts this web link is full of circle facts.
    3. sparknotes Gives some more details about properties of circles
  2. Books and journals
  3. Textbooks
  4. Syllabus documents (CBSE, ICSE, IGCSE etc)

Learning Objectives

  • Appreciation of circle as an important shape as it is an intrical component in the invention of almost everything that we see around us.
  • To make students know that circle is a 2-dimensional plane circular figure.
  • All points on its edge are equidistant from the center.
  • The method of drawing a circle
  • The size of the circle is defined by its radius.
  • To elicit the difference between a bangle or a circular ring and circle as such.

Teaching Outlines

Concept #1 Introduction to Circle

Source: http://circlesonly.wordpress.com/tag/inventions/
Summary : The circle is the most primitive and rudimentary of all human inventions, and at the same time, the most dynamic. It is the cornerstone in the foundation of science and technology. It is the basic tool of all engineers and designers. It is used by the greatest artists and architects in the history of mankind. Without a circular shape the wheel, pulleys, gears, ball bearings and a thousand other items we take for granted wouldn’t exist. And of course we would never have the pleasure of driving a car, riding a giant wheel, or watching the moon landing on our television set.
If you look through any old patent claim, you will most likely find the repeated use of circles, spheres, curves, arches, etc. circles are everything and they are nothing. They don’t exist in reality and yet they are the basis of all that mankind has brought into existence. That is why a circle is so fantastic.

Activities
A discussion on “Life without circular shaped figures.”
Circle as a shape

Pi the mathematical constant

Is circle a Polygon ? - A debate

Concept #2 Basic terms

Activities
Centre of a circle

Radius and diameter of a circle

Circumference of a circle

Semicircle

Interior and exterior of a circle

Chord of a circle

Arc of a circle

Sector of a circle

Concentric circles

Congruent circles

Concept #3: Theorems and properties

Activities
The longest chord passes through the centre of the circle
Solved problems/ key questions (earlier was hints for problems).

Projects (can include math lab/ science lab/ language lab)

  1. Collect different types of circular objects
  2. Collect different Pie Charts.
  3. Collect different photographs of tools of cutting circles
  4. Collect different coins of circular shape
  5. Collect different images of medals

Assessments - question banks, formative assessment activities and summative assessment activities