Common Core Math Vocabulary

Curve - Definition with Examples

What is Curve?

A curve is a continuous and smooth flowing line without any sharp turns. One way to recognize a curve is that it bends and changes its direction at least once.

 

Types of curves

   1. Upward curve: A curve that turns in the upward direction is called an upward curve.  It is also known as a concave upward. Concave Upward also called or “Convex Downward

 upward curve

   2. Downward curve: A curve that turns in the downward direction is called a downward curve. It is also known as a concave downward. Concave Downward also called or “Convex Upward”.

 downward curve

   3. Open curve: An open curve does not enclose any area within itself and it has two endpoints.  Some of the open curves are given in the figure below.

 open curve

   4. Closed curve: A closed curve, has no end points and encloses an area (or a region). It is formed by joining the end points of an open curve together.

      Circles , ellipses are formed from closed curves. 

 closed curve

   5. Simple Curve: A simple curve changes direction but does not cross itself while changing direction. A simple curve can be open and closed both.

 simple curve 

   6. Non-simple curves: A curve that crosses its own path is called a non-simple curve. 

 non-simple curve

 

Curves around us

  • Race track: A race The track from the figure looks like a closed curve. 
  • Roads: Roads on hills and mountains are curvy.

curve real life example

 

  Fun Facts

  • A curve is made up of many small line segments joined from end to end.  If you look at a curve very closely, you will see the lines. 

 

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