Coordinate Planes

1. Coordinate Planes Locating, Plotting & Reading Points on a Grid

2. What is a Coordinate Plane? A plane formed by the intersection of a horizontal number line called the x-axis and a vertical number line called the y-axis. Plano formadopor la intersección de una recta numérica horizontal llamadaeje x (x-axis) y una recta numérica vertical llamadaeje y (y-axis). 5 4 3 2 1 1 2 3 4 5 0 1 2 3 4 5 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5

3. Purpose of the Coordinate Plane Location! Location! Location! We use coordinate planes to find exact locations!

4. Real World Application One

5. Real World Application Two

6. Real World Application Three

7. Parts of a Coordinate Plane X-Axis Y-Axis Origin Quadrant

8. How to Use a Coordinate Plane A Coordinate Pair is needed! (x, y) A coordinate pair tells the exact location on the coordinate plane. The xposition on the X-axis goes in the x place. The yposition on the Y-axis goes in the yplace. *Mathematicians plot on the x-axis first.

9. Signs of Numbers - GPS The signs of a number tell which way to go on the number line/axis, like a GPS gives directions! means turn Leftor turn Downon the number line/axis. means turn Right or Up on the number line/axis.

10. Signs of Numbers - GPS If given two numbers to plot at the same time… The First number (x) is left or right The Second number (y) is up or down means turn left or turn down on the number line/axis. means turn right or up on the number line/axis.

11. Read Points(Figure out the Coordinate Pair) 1) Start at the origin. 2) Count the lines left or right toward the point. The number of lines you count goes into the x place of the coordinate pair. (x, y) becomes (2, y) 3) Now count the lines up or down toward the point. However many lines you count goes into the y place of the coordinate pair. (2, y) becomes (2, 3)

12. Find Points In which quadrant is A? is B? is C? is D? Which point is (4, -5)? 1) Start at the origin. 2) Look at the first number and count that many lines from the origin left or right. (Right if it’s a positive number; Left if it’s a negative number) 3) Look at the second number and count that many lines from where you were up or down. (Up if it’s a positive number; Down if it’s a negative number) It’s Point C! B A D C

13. Plot Points Plot (-2, 3) Start at the origin. -2 is in the x place, so find -2 on the x-axis. (count the lines on the x-axis from zero) 3 is in the y place, so find 3 on the y-axis. (count the lines on the y-axis from zero)

14. Practice! • Read: At what point is the Church located? • Read: At what point is the Forest located? • Find: What is located at (-5, -2)? • Find: What is located at (4, -4)? • Plot: (2, -2) • Plot: (-4, 3)

15. Class Hand Outs The following was given in class for student notes.

16. How to Use a Coordinate Plane A __________ _____ is needed! (__, __) A coordinate pair tells the exact ________ on the coordinate plane. The xposition on the ______ goes in the x place. The yposition on the ______ goes in the yplace. *Mathematicians plot on the x-axis first.

17. Signs of Numbers - GPS If given a coordinate pair to plot, read or find… The _____ number (x) is _____________. The ____number (y) is ____________. means turn ____ or turn ____on the number line/axis. means turn ____or turn ____on the number line/axis.

18. 1) Alwaysstart at the _________! 2) Follow the GPS of the X coordinate using the lines! -2 means to turn _____ on the ___ axis. 3) Follow the GPS of the Y coordinate using the lines! 3 means to turn _____ on the ___ axis. 4) Place, Read or Find your point!

19. Now You Try! (6, -3) 1) Alwaysstart at the _________! 2) Follow the GPS of the X coordinate using the lines! 6 means to turn _____ on the ___ axis. 3) Follow the GPS of the Y coordinate using the lines! -3 means to turn _____ on the ___ axis. 4) Place, Read or Find your point!