Chapter 10Graphing in the Coordinate Plane

Chapter 10 Section 10-1

• Objective: At the end of the lesson, students will be able to• Locate a point on the coordinate

plane•Graph points on the coordinate plane•Graph vertical and horizontal lines on

the coordinate plane

Chapter 10 Section 10-1

• Agenda–Anticipation Guide-Before column–Vocabulary–Examples–Practice–Classwork/Homework–Anticipation Guide-After column

Vocabulary

• Coordinate Plane – a grid formed by a horizontal number line called the x-axis intersecting with a vertical number line called the y-axis

• The lines are perpendicular to each other

Vocabulary

• x-axis – horizontal number line

• y-axis - vertical number line

Vocabulary

• Origin – O indicates the origin, where the axes intersect

Vocabulary

• Ordered Pair (x,y) – gives the coordinates of the location of a point

• The ordered pair (0,0) indicates the origin O

• Ordered pairs look like: (2,3)– The first component is the x value and the second

component is the y value– They are always separated by a comma and

enclosed within parentheses

Writing Coordinates Example

A(-2, 2)

B(-3, -2)

Locate the coordinates of points A and B

Vocabulary

• x-coordinate – the first number in an ordered pair

• It tells the number of horizontal units a point in from O

• y-coordinate – the second number in an ordered pair

• It tells the number of vertical units a point in from O

Vocabulary

• Quadrants – the x- and y- axes divide the coordinate plane into four quadrants

1

3

2

4

Graphing a Point Example

• Graph point A(3, -4)• Graph point B(3, 4)• Graph point C(-3, -4)• Graph point D(-3, 4)

• What quadrant is each point located?

Graphing a Point – More Examples

• Graph point w(0, 0)• Graph point x(0, -2)• Graph point y(3, 0)• Graph point z(-1, 4)

Vocabulary

• Horizontal – lines that are parallel to the x-axis

• Vertical – lines that are parallel to the y-axis

Indentifying Horizontal and Vertical Lines

• Graph the line containing points (-3,3) and (-3, 2)

• Graph the line containing points (3, 2) and (-1, 2)

• Which line is horizontal?• Which line is vertical?

Indentifying Horizontal and Vertical Lines

• Graph the line containing points (-4,3) and (-4, -2)

• Graph the line containing points (3, 1) and (-1, 1)

You Do• In your textbook–Page 524 numbers 1-12, 13-24

even, 26, & 28

• Anticipation Guide – After Column

Conclusion• We learned how to–Locate a point on the coordinate plane–Graph points on the coordinate plane–Graph vertical and horizontal lines on

the coordinate plane

• Tomorrow we will begin to use plotting points and lines to begin a project