All About the Coordinate Plane... by Maria Delgado Hernandez

The Cartesian Coordinate Plane

mdelgado2 — 2014-10-29 15:31:13 UTC

Getting to know your coordinate plane.

Below is a rectangular coordinate plane. It is made up of two number lines. The horizontal line is the x-axis and the vertical line is the y-axis. The point where the x- and y-axes intersect is the origin.

The coordinate plane is divided into four sections called quadrants. The quadrants are labeled counterclockwise and are usually written as Roman numerals.

For Extra Practice: Ordered Pair Game on Khan Academy

mdelgado2 — 2014-10-29 18:32:18 UTC

Copy and paste the following web address to a new tab to load the game. Remember (x,y)

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-coordinate-plane/e/graphing_points_2

History: Rene Cartesian

mdelgado2 — 2014-10-29 18:34:45 UTC

They are called Cartesian because the idea was developed by the mathematician and philosopher Rene Descartes who was also known as Cartesius.

He is also famous for saying "I think, therefore I am".

Source: MathIsFun.com

Just for Reference...

mdelgado2 — 2014-10-29 18:35:22 UTC

Visit Khan Academy to learn all about the coordinate plane.... Copy and paste the following web address to a new tab to load the website that explains all about the coordinate plane.

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-coordinate-plane/v/the-coordinate-plane

Cartesian Coordinates aka ORDERED PAIRS: (x,y)

mdelgado2 — 2014-10-29 18:41:48 UTC

A pair of numbers used to locate a point on a coordinate plane is called an ordered pair. Ordered pairs are written in the form (x, y) and tell us the location of a point on the coordinate plane.

The first number in an ordered pair is the x-coordinate. It describes the number of units to the left or right of the origin.
The second number in the ordered pair is the y-coordinate. It describes the number of units above or below the origin.

These are some examples of ordered pairs. (4, -9), (0, 0), (5, 5), (-8, 0)

Source: LincolnInteractive.org

In-Class Activity: Darting Balloons

mdelgado2 — 2014-10-29 18:46:21 UTC

We will do an in-class activity were we will pretend to be shooting darts to a wall of balloons.

Objective: To locate and name points on a coordinate plane given a list of ordered pair of integers and a worksheet.

Instructions:

Get a sheet with a coordinate plane with balloons on it. (Make sure you write your name!)
Using your knowledge of the cartesian coordinate plane and ordered pairs, you will locate the following points on the plane and write the number inside the balloon. (For example, if the ordered pair is (1,1) for #1 you would write the number "1" in the balloon on the (1,1) position. Which is one unit to the right, and one unit up from the origin.)
For numbers eleven through twenty write the location of the points on the space provided. (For example, if number eleven is shown in a balloon that is 3 units to the left, and 3 units below the origin, you would write the coordinate (-3,-3) in the space provided on number eleven.)
Complete the entire worksheet and turn in.

Notes: The blue balloons represent Quadrant I (Q-one), the red ones represent Quadrant II (Q-two), the purple represent Quadrant III (Q-three), and the green balloons represent Quadrant IV (Q-four).

Plotting Points on the Coordinate Plane

mdelgado2 — 2014-11-01 18:46:58 UTC

To plot a point,

Start at the origin
Count along the x-axis until you reach the x-coordinate (count right for positive numbers, left for negative)
Count up or down the number of the y- coordinate (up for positive, down for negative).

LOOK AT THE EXAMPLE BELOW (PLOTTING POINT P)

(Example) Plotting Point P

mdelgado2 — 2014-11-01 18:48:52 UTC

For example, to graph the point P, with the ordered pair (4, 2), count right along the x-axis 4 units and then count up 2 units. Be careful to always start with the x-axis. The point (4, 2) is very different than the point (2, 4)!

As a Class...

mdelgado2 — 2014-11-01 18:56:40 UTC

Lets all name the following points (A,B, C, D, E) on this wall to the right of this post:

Extension Activity...

mdelgado2 — 2014-11-01 19:45:12 UTC

Create an algorithm of instructions using ordered pairs to create different shapes (square, triangle, etc.) on the coordinate plane and post it here on the wall.

QUESTIONS?

mdelgado2 — 2014-11-01 20:24:14 UTC

Post any questions you might have during the lesson on this part of the wall. I will answer your questions as soon as I can.

Thank you.

-Ms. Delgado

Plotting ORDERED PAIRS in QI

mdelgado2 — 2014-11-03 22:25:25 UTC

Notice that both the x and y coordinates are positive in Quadrant I.

Plotting ORDERED PAIRS in QII

mdelgado2 — 2014-11-03 22:26:16 UTC

Notice that the x coordinate is negative and the y coordinate is positive in Quadrant II.

Plotting ORDERED PAIRS in QIII

mdelgado2 — 2014-11-03 22:27:17 UTC

In Quadrant III, both the x and y coordinates are negatives.

Plotting ORDERED PAIRS in QIV

mdelgado2 — 2014-11-03 22:28:02 UTC

In Quadrant IV, the x coordinate is positive, but the y coordinate is negative.