Graphing using a Cartesian Plane. Vocabulary Cartesian Plane - named after the mathematician Rene Descartes (1596 - 1650), is a plane with a rectangular.

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Presentation transcript:

Graphing using a Cartesian Plane

Vocabulary Cartesian Plane - named after the mathematician Rene Descartes ( ), is a plane with a rectangular coordinate system that associates each point in the plane with a pair of numbers. Cartesian Plane - named after the mathematician Rene Descartes ( ), is a plane with a rectangular coordinate system that associates each point in the plane with a pair of numbers. Famous for saying, “I think, therefore, I am.” Famous for saying, “I think, therefore, I am.”

Coordinates - A unique ordered pair of numbers that identifies a point on the coordinate plane. The first number in the ordered pair identifies the position with regard to the x-axis while the second number identifies the position on the y-axis Coordinates - A unique ordered pair of numbers that identifies a point on the coordinate plane. The first number in the ordered pair identifies the position with regard to the x-axis while the second number identifies the position on the y-axis Graph - A visual representation of data that displays the relationship among variables, usually cast along x and y axes. Graph - A visual representation of data that displays the relationship among variables, usually cast along x and y axes. Origin – the point (0,0) - where the X axis and Y axis cross. Origin – the point (0,0) - where the X axis and Y axis cross.

Quadrants There are 4 quadrants (big surprise) marked with Roman Numerals I, II, III, IV. There are 4 quadrants (big surprise) marked with Roman Numerals I, II, III, IV. They are numbered Counter Clockwise starting with the upper right. They are numbered Counter Clockwise starting with the upper right.

Quadrants Quadrant X (horizontal) Y (vertical) Example IPositive (3,2) IINegativePositive(-4,1) IIINegative (-2,-1) IVPositiveNegative(3,-7)

Plotting Points (x,y) is how we write Coordinate Pairs. (x,y) is how we write Coordinate Pairs. X always comes first. Always! X always comes first. Always! When graphing, Go over, then up. When graphing, Go over, then up. Remember, walk over to the ladder then climb. If you climb then go over…You FALL! Remember, walk over to the ladder then climb. If you climb then go over…You FALL!

Plotting Points (2,5,) (-4,7) (-5-2) (6,-4)

Interactive Lesson Time! Pick 2 numbers between 1 and 20. Pick 2 numbers between 1 and 20. Randomly make one, both or none of them negative. Randomly make one, both or none of them negative. Graph them here. Graph them here.here.