The document discusses coordinate geometry and ordered pairs: - It introduces the x-axis and y-axis, which intersect at the origin point (0,0) to form a grid. - Coordinates are ordered pairs that locate points on the grid, with the x-value first followed by the y-value, such as (2,5). - The x-axis is horizontal and represents the run or side-to-side movement, while the y-axis is vertical and represents the climb up or down.

1. Coordinate Geometry You should know what these mean and be able to use them: Coordinates Ordered pairs X axis Y axis

2. Start with a number line: 0 1 2 3 4 5 6 7 8 9 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1

3. Add a vertical number line: 9 8 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7

4. The horizontal number line is called the “ x axis ” | | | | | | | | | | | | | | | | | | | | | -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

5. The vertical number line is called the “ y axis ” 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- (I remember y is for the up and down axis because the y stretches down.)

6. Put them together! | | | | | | | | | | | | | | | | | | | | | -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 --4 --3 --2 --1 -- -1 -- -2 -- -3 -- -4 -- -5

7. Where the two meet is called the “ origin ” That is zero on both scales. 0

8. It’s easier to find where you are if you put this on a grid: -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 y x

9. Coordinates are the points on the grid: 2, 5 1, 3 3, 7 and so forth

10. We put the point at the coordinates--Start with X, then Y -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 7 6 5 4 3 2 1 -- -1 -- -2 -- -3 -- -4 -- -5 -- -6 -- -7 y x For example for 2,5 Go to 2 on the x axis first. Then go to 5 on the y axis. Here is the point defined as 2,5

11. The two coordinates come in pairs to tell you the point on the grid. They are an ordered pair. What’s the order? Which is first, x or y?

12. How do I remember which comes first, x or y? a b c d e f g h i j k l m n o p q r s t u v w x y z When you say or write the alphabet x comes before y

13. You can also think of running before you climb up or down