A two-dimension surface formed by two number lines. We can use the coordinate plane to graph points, lines, and more.​

​

​

​1) The Coordinate Plane

​

​2) X-Axis

​The horizontal line in a coordinate plane. The x-axis only moves left to right

​3) Y-Axis

The vertical line in a coordinate plane. The y-axis only moves Up and Down

​4) Origin

The two axes meet at a point called the origin. The ordered pair for the origin is (0,0).

​

Always start at the origin and move left/right THEN up/down​

​(x,y)

Start at the origin first​

• x ALWAYS comes first and this tells me to move left or right

• y comes second and this tells me to move up or down next.​

• EX: (3,5)​

  This tells me to start at the origin and move 3 to the right and 5 up​

​​

​5) Ordered Pairs

​

The coordinate plane his broken into ​ 4 quadrants.

• QI is Quadrant one where all ordered pairs will be positive (+x, +y)

• Q2 is Quadrant two where the ordered pairs are (-x,+y)

• Q3 is Quadrant three where all of the ordered pair i​s negative (-x, -y)

• Q4 is Quadrant four where the ordered pairs are (+x, -y)

​

​

​6) Quadrants on the Coordinate Plane

Reflections

• Reflections flip a figure on the coordinate plane.

• Changes the orientation of a figure.

• Can be flipped across, the x-axis, y-axis, or both.

• Which axis is the triangle reflected across in the figure to the right?

Same Quadrant? Subtract!

• We can find the distance between points that lie in the same quadrant, like the Ferris Wheel and the Rollercoaster, using subtraction.

• The Rollercoaster is at (5, 2)

• The Ferris Wheel is at (5, 6)

• |6| - |2| = 6 - 2 = 4

• The Ferris Wheel and Rollercoaster are 4 spaces apart.

Find the distance between these two points using subtraction.

( 3 , 6 ) and ( 3 , 11 )

_{Make sure to subtract their ABSOLUTE VALUES.}

Different Quadrant? Add!

• We can find the distance between points that lie in the different quadrants, like the Restrooms and the Water Slide, using addition.

• The Restrooms are at ( 4 , -4 )

• The Water Slide is at ( -3 , -4 )

• |4| + |-3| = 4 + 3 = 7

• The restrooms and water slide are 7 spaces apart.

Find the distance between these two points using addition.

( 5 , -2 ) and ( -3 , -2)

_{Make sure to add their ABSOLUTE VALUES!}