Coordinate Plane Basics Unit 5 Section 5.1 Coordinate Plane Basics

This vertical line is called the y-axis. The Coordinate Plane y This vertical line is called the y-axis.

This horizontal line is called the x-axis. The Coordinate Plane y This horizontal line is called the x-axis. x

The x-axis and y-axis separate the coordinate plane into 4 parts.

These parts are called Quadrants. The Coordinate Plane y These parts are called Quadrants. x

y x The Coordinate Plane Quadrant II Quadrant I Quadrant III Quadrant IV

y x The Coordinate Plane Each line has a number associated with it. Just like the dashes on a number line. x

y x The Coordinate Plane 5 4 3 2 1 -1 -2 -3 -4 -5 -5 -4 -3 -2 -1 1 2 3 -1 -2 -3 -4 -5 x -5 -4 -3 -2 -1 1 2 3 4 5

y x The Coordinate Plane This point in the middle of the x-axis and y-axis is called the origin. x

There are many other points on the coordinate plane. 5 4 3 2 1 -1 -2 -3 -4 -5 There are many other points on the coordinate plane. x -5 -4 -3 -2 -1 1 2 3 4 5

These points are described by ordered pairs. The Coordinate Plane y 5 4 3 2 1 -1 -2 -3 -4 -5 These points are described by ordered pairs. x -5 -4 -3 -2 -1 1 2 3 4 5

Ordered Pair An ordered pair is a set of parenthesis with two numbers inside. The numbers are separated by a comma. ( 1 , 3 )

The first number is called the x- coordinate. Ordered Pair ( 1 , 3 ) The first number is called the x- coordinate.

The second number is called the y- coordinate. Ordered Pair ( 1 , 3 ) The second number is called the y- coordinate.

Ordered Pair ( x , y )

Now, let’s graph this ordered pair on the coordinate plane. ( 1 , 3 ) Now, let’s graph this ordered pair on the coordinate plane.

y x Plotting Points ( 1 , 3 ) 5 4 3 2 1 -1 -2 -3 -4 -5 -5 -4 -3 -2 -1

Let’s graph (plot) more points. Plotting Points y 5 4 3 2 1 -1 -2 -3 -4 -5 ( 1 , 3 ) x Let’s graph (plot) more points. -5 -4 -3 -2 -1 1 2 3 4 5

y x Plotting Points ( 2 , 5 ) 5 4 3 2 1 -1 -2 -3 -4 -5 -5 -4 -3 -2 -1

y x Plotting Points ( 2 , 5 ) Quadrant I 5 4 3 2 1 -1 -2 -3 -4 -5 -5

y x Plotting Points (-3 , 4 ) 5 4 3 2 1 -1 -2 -3 -4 -5 -5 -4 -3 -2 -1

y x Plotting Points (-3 , 4) Quadrant II 5 4 3 2 1 -1 -2 -3 -4 -5 -5

y x Plotting Points (4 , -1) 5 4 3 2 1 -1 -2 -3 -4 -5 -5 -4 -3 -2 -1 1

y x Plotting Points (4 , -1) Quadrant IV 5 4 3 2 1 -1 -2 -3 -4 -5 -5

y x Plotting Points (-5 , -3) 5 4 3 2 1 -1 -2 -3 -4 -5 -5 -4 -3 -2 -1

y x Plotting Points (-5 , -3) Quadrant III 5 4 3 2 1 -1 -2 -3 -4 -5 -5

y x Plotting Points (-2 , 0) 5 4 3 2 1 -1 -2 -3 -4 -5 -5 -4 -3 -2 -1 1

y x Plotting Points (-2 , 0) 5 4 3 2 1 -1 -2 -3 -4 -5 -5 -4 -3 -2 -1 1 Not in any quadrant. This point is on the x-axis.

y x Plotting Points (0 , 4) 5 4 3 2 1 -1 -2 -3 -4 -5 -5 -4 -3 -2 -1 1

y x Plotting Points (0 , 4) 5 4 3 2 1 -1 -2 -3 -4 -5 Not in any quadrant. This point is on the y-axis. x -5 -4 -3 -2 -1 1 2 3 4 5

y x (0,0) is the origin. Plotting Points (0 , 0) 5 4 3 2 1 -1 -2 -3 -4 -5 (0 , 0) (0,0) is the origin. x -5 -4 -3 -2 -1 1 2 3 4 5

Reverse It

y x Name the Ordered Pairs A C B E D F 5 4 3 2 1 -1 -2 -3 -4 -5 -5 -4

y x Name the Ordered Pairs (5 , 4) C B E D F 5 4 3 2 1 -1 -2 -3 -4 -5

y x Name the Ordered Pairs (5 , 4) C (1 , 2) E D F 5 4 3 2 1 -1 -2 -3 -4 -5 (5 , 4) C (1 , 2) x E -5 -4 -3 -2 -1 1 2 3 4 5 D F

y x Name the Ordered Pairs (5 , 4) (-4 , 3) (1 , 2) E D F 5 4 3 2 1 -1 -2 -3 -4 -5 (5 , 4) (-4 , 3) (1 , 2) x E -5 -4 -3 -2 -1 1 2 3 4 5 D F

y x Name the Ordered Pairs (5 , 4) (-4 , 3) (1 , 2) E (-3 , -1) F 5 4 -2 -3 -4 -5 (5 , 4) (-4 , 3) (1 , 2) x E -5 -4 -3 -2 -1 1 2 3 4 5 (-3 , -1) F

y x Name the Ordered Pairs (5 , 4) (-4 , 3) (1 , 2) (4 , 0) (-3 , -1) -2 -3 -4 -5 (5 , 4) (-4 , 3) (1 , 2) x -5 -4 -3 -2 -1 1 2 3 4 5 (4 , 0) (-3 , -1) F

y x Name the Ordered Pairs (5 , 4) (-4 , 3) (1 , 2) (4 , 0) (-3 , -1) -2 -3 -4 -5 (5 , 4) (-4 , 3) (1 , 2) x -5 -4 -3 -2 -1 1 2 3 4 5 (4 , 0) (-3 , -1) (2 , -3)

Scatter Plot A scatter plot looks like a line graph without the lines. We just place the dots or in other words, we plot the points.

Scatter Plot

Scatter Plot

Scatter Plot Construct a scatter plot to show the relationship between the hours spent practicing shooting darts and the dart shooting score. Practice Time (hours) Dart Shooting Score 1 6 2 8 3 13 4 20 5 18 27 SIDE BOTTOM

Scatter Plot Construct a scatter plot to show the relationship between the hours spent practicing shooting darts and the dart shooting score.

Scatter Plot Construct a scatter plot to show the relationship between the hours spent practicing shooting darts and the dart shooting score. Practice Time (hours) Dart Shooting Score 1 6 2 8 3 13 4 20 5 18 27

Scatter Plot Construct a scatter plot to show the relationship between the hours spent practicing shooting darts and the dart shooting score.

Scatter Plot Construct a scatter plot to show the relationship between the hours spent practicing shooting darts and the dart shooting score. Practice Time (hours) Dart Shooting Score 1 6 2 8 3 13 4 20 5 18 27

Scatter Plot Construct a scatter plot to show the relationship between the hours spent practicing shooting darts and the dart shooting score.

Scatter Plot Construct a scatter plot to show the relationship between the hours spent practicing shooting darts and the dart shooting score.

Explain the relationship shown in the scatter plot.

The more time spent practicing, the higher the score. Scatter Plot The more time spent practicing, the higher the score.

Complete problems # 1 – 20 for homework. Use Graph Paper for ALL graphs.