Coordinate Geometry You should know what these mean and be able to use them: Coordinates Ordered pairs X axis Y axis
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
Add a vertical number line: 9 8 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7
The horizontal number line is called the “ x axis ” |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | -10 -9 -...
The vertical number line is called the “ y axis ” 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -- -- -- -- -- -- -- -- -- -- -- -- -- --...
Put them together! |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | -10  -9  -8  -7  -6  -5  -4  -3  -2  -1  ...
Where the two meet is called the “ origin ” That is zero on both scales. 0
It’s easier to find where you are if you put this on a grid: <ul><li>-10  -9  -8  -7  -6  -5  -4  -3  -2  -1  0  1  2  3  ...
Coordinates   are the points on the grid: <ul><li>2, 5 </li></ul><ul><li>1, 3 </li></ul><ul><li>3, 7 </li></ul><ul><li>and...
We put the point at the coordinates--Start with X, then Y <ul><li>-10  -9  -8  -7  -6  -5  -4  -3  -2  -1  0  1  2  3  4  ...
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...
How do I remember which comes first, x or y? <ul><li>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 </li></ul>Whe...
You can also think of running before you climb up or down
Upcoming SlideShare
Loading in …5
×

Coordinates

1,328 views

Published on

Coordinate geometry, explanation of coordinate geometry, y and x axis, point, ordered pairs.

Published in: Technology, Education
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
1,328
On SlideShare
0
From Embeds
0
Number of Embeds
35
Actions
Shares
0
Downloads
55
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Coordinates

  1. 1. Coordinate Geometry You should know what these mean and be able to use them: Coordinates Ordered pairs X axis Y axis
  2. 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. 3. Add a vertical number line: 9 8 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7
  4. 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. 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. 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. 7. Where the two meet is called the “ origin ” That is zero on both scales. 0
  8. 8. It’s easier to find where you are if you put this on a grid: <ul><li>-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 </li></ul>7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 y x
  9. 9. Coordinates are the points on the grid: <ul><li>2, 5 </li></ul><ul><li>1, 3 </li></ul><ul><li>3, 7 </li></ul><ul><li>and so forth </li></ul>
  10. 10. We put the point at the coordinates--Start with X, then Y <ul><li>-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 </li></ul>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. 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. 12. How do I remember which comes first, x or y? <ul><li>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 </li></ul>When you say or write the alphabet x comes before y
  13. 13. You can also think of running before you climb up or down

×