The Coordinate Plane. Domain 1 Lesson 10. Getting the Idea

Transcription

1 omain Lesson 0 The oordinate Plane ommon ore Standards:.NS..b,.NS..c Getting the Idea You can use a coordinate plane to locate points. coordinate plane is formed b a horizontal number line, called the -ais, and a vertical number line, called the -ais. Each ais includes both positive and negative numbers. The coordinate plane is divided into four sections called quadrants. The are numbered with Roman numerals in a counterclockwise direction, as shown below. II (, ) I (, ) III (, ) IV (, ) n ordered pair of numbers in the form (, ) names a point on a coordinate plane. The first number of the ordered pair is the -coordinate. It tells how man units to move to the left or the right of the origin, point (0, 0). The second number is the -coordinate. It tells how man units to move up or down from the origin. looking at whether the - and -coordinates are positive or negative, ou can tell which quadrant contains a given point without seeing it graphed on a coordinate plane. Use the table below to help ou. Quadrant -coordinate -coordinate I II III IV Points on the -ais or the -ais are not in an quadrant. uplicating an part of this book is prohibited b law. 90

2 Eample Plot (, ) on the coordinate plane. Label the point. Strateg Use ordered pairs to plot a point. Step Use the signs of the coordinates to find the quadrant for point. The coordinates for point are (negative, positive), or (, ). Point will be in Quadrant II. Step Start at the origin. ind the -coordinate for point. The -coordinate is. Move units to the left. Step rom on the -ais, find the -coordinate for point. The -coordinate is. Move up units and label point. 0 Solution Point is shown on the coordinate plane above. uplicating an part of this book is prohibited b law. 9

3 Eample Jod used a coordinate grid to map where she planted each tpe of vegetable. What ordered pair tells where Jod planted lettuce? Strateg Locate the point on the plane. ind the coordinates. Lettuce lines up with on the -ais and on the -ais. Its coordinates are (, ). Solution Jod planted lettuce at (, ). Eample Plot (.,.) on a coordinate plane. Label the point M peppers cucumbers tomatoes lettuce Strateg Use ordered pairs to plot a point. Step Use the signs of the coordinates to find the quadrant for point M. The coordinates for point M are (positive, negative), or (, ). Point M will be in Quadrant IV. Step Step Solution Start at the origin. ind the -coordinate for point M. The -coordinate is.. The point will be halfwa between and on the -ais. rom. on the -ais, find the -coordinate for point M. M The -coordinate is.. The point will be halfwa between and on the -ais. Notice that point M is not on an of the grid lines of the coordinate plane. Point M is shown on the coordinate plane above. 0 uplicating an part of this book is prohibited b law. 9 omain : The Number Sstem

4 Lesson 0: The oordinate Plane oached Eample The coordinate plane below represents the streets in rad and ara s town rad s house is at (, ) and ara s house is at (, ). Plot and label the points for both houses. Start with rad s house. The -coordinate is negative and the -coordinate is positive. The point for rad s house will be in Quadrant. Start at the origin, which is the point (, ). uplicating an part of this book is prohibited b law. Move units to the of the origin. rom on the -ais, move units. Plot the point and label it for rad. Now locate ara s house. The -coordinate is positive and the -coordinate is negative. The point for ara s house will be in Quadrant. Start at the origin and move units to the. rom on the -ais, move units. Plot the point and label it for ara. 9

5 Lesson Practice hoose the correct answer. Use the coordinate plane for questions. Use the coordinate plane for questions. 0 H 0 G E J. Which point is located at (, )?. point. point. point. point. Which ordered pair names the location of point J?. (0,.). (0,.). (., 0). (., 0). Which point is located at (, )?. point. point. point. point. Which point is located in Quadrant IV?. point. point. point. point. Which point is located at (, _ )?. point E. point. point G. point H. In which quadrant is point H located?. Quadrant I. Quadrant II. Quadrant III. Quadrant IV uplicating an part of this book is prohibited b law. 9 omain : The Number Sstem

6 Lesson 0: The oordinate Plane 7. The - and -coordinates of point N are both negative. In which quadrant is point N located?. quadrant I. quadrant II. quadrant III. quadrant IV 8. Point V is located at (., 7.). In which quadrant is point V located?. quadrant I. quadrant II. quadrant III. quadrant IV 9. Use the coordinate plane below. 0. Plot and label point P at (, ).. Plot a point in Quadrant II. Label it point. What are the coordinates of point? uplicating an part of this book is prohibited b law. 0. ircle ever ordered pair that is located in Quadrant II of a coordinate plane.. (0, ). (, ). (, ). (, ) E. (, ). (, 0) 9

7 . ircle the letter that represents the point for each ordered pair. 0 (, ) (, ) (, ). etermine if each point, as indicated b a letter, matches the ordered pair. Select True or alse for each statement.. (, 0) True alse. G (, ) True alse. H (0, ) True alse. I (, ) True alse I G H 0 uplicating an part of this book is prohibited b law. 9 omain : The Number Sstem

8 Lesson 0: The oordinate Plane. raw a line from each ordered pair to the point that represents its location. 0. (, ). (, ). (, ),. (, ) E. (, ). Write each ordered pair in the correct bo. (, ) (, ) (, ) (, ) (, ) (, ) (, ) (, ) uplicating an part of this book is prohibited b law. Quadrant I Quadrant II Quadrant III Quadrant IV 97