The document discusses key concepts about the coordinate plane, including: 1) Plotting points on the coordinate plane using ordered pairs like (1,1) and identifying which quadrant points fall into. 2) The coordinate plane is divided into four quadrants based on whether the x and y values are positive or negative. 3) Transformations like translations can change the position of shapes on the coordinate plane by sliding or shifting them along the x- or y-axis.

1. ObjectivesThe student will be able to:Plot points on the coordinate planeIdentify Quadrants in the coordinate planeTransform figures with Translation rotation and reflection.

2. Remember our number line

3. Lets put 2 number lines togetherX axis is the horizontal Number lineY Axis is the Vertical Number line

4. When the X and Y axis are put together, the grid is called a “Coordinate Plane”

5. The points on the coordinate plane are called Ordered Pairs

9. Plot the following pointsA (1,1)B(7,4)C (3,2)D (-5,2)E (-4,7)F ( -2,6)G (-3,-3)H (-2, -7)I ( -5,-3)J ( 5,-6)K ( 4,-2)L (7,-3)EFBDCAKGILJH

11. The Coordinate plane is separated into Quadrants( - ,+ )( +,+ )( +,- )( -, - )

12. Points not located in a quadrantAny ordered pair with a zero coordinateEx (3,0)Or (0,-5)Located on the X axisLocated on the Y axis

13. In what quadrant are the following ordered pairs locatedIIIIIIIIIIVIIIVIVIIIV

14. TransformationsThe word transform means "to change." In geometry and algebra, a transformation changes the position of a shape on a coordinate plane. What that really means is that a shape is moving from one place to another. There are three basic transformations:Translation (Slide) Rotation (Turn)Reflection (Flip)

15. TranslationSliding or shifting a figure or pointTranslate the triangle 6 units on the x axis(3,5)(-3,5)(-5,1)(1,1)(5,1)(-1,1)Notice the X values are all 6 greater after translation

17. Translate the figure 4 units vertically.B’A’D’C’ABCDWhat do you notice about the new Y coordinates?