How can you identify and plot points in a coordinate grid?

Transcription

1 ? Name. Essential Question Ordered Pairs How can you identify and plot points in a coordinate grid? Geometry and Measurement..,.. lso.. MTHEMTIL PROESSES..,..E onnect Locating a point on a coordinate grid is similar to describing directions using North-South and West-East. The horizontal number line on the grid is the. The vertical number line on the grid is the. Each point on the coordinate grid can be described by an ordered pair of numbers. The x-coordinate, the first number in the ordered pair, is the horizontal location, or the distance the point is from 0 in the direction of the. The y-coordinate, the second number in the ordered pair, is the vertical location, or the distance the point is from 0 in the direction of the. (x, y) x-coordinate y-coordinate The and the intersect at the point (0, 0), called the origin. Unlock the Problem Write the ordered pairs for the locations of the arena and the aquarium. Locate the point for which you want to write an ordered pair. Look below at the to identify the point s horizontal distance from 0, which is its x-coordinate. Look to the left at the to identify the point s vertical distance from 0, which is its y-coordinate. So, the ordered pair for the arena is (, ) and the ordered pair for the aquarium is (_, _). 0 N W S E aquarium arena 0 0 escribe the path you would take to get from the origin to the aquarium, using horizontal, then vertical movements. Module

2 Example Use the graph. point in a coordinate grid can be labeled with an ordered pair, a letter, or both. Plot the point (, ) and label it J. From the origin, move right units and then up units. Plot and label the point. Plot the point (, 0) and label it S. From the origin, move right _ units and then up _ units. 0 J (, ) Plot and label the point. 0 0 Share and Show Use oordinate Grid to write an ordered pair for the given point... E Plot and label the points in oordinate Grid.. M (0, ). K (0, ). W (, 0) Math Talk Mathematical Processes escribe how you plotted point M in the coordinate grid... F. H (, ). T (, ) 0. R (, ) oordinate Grid 0 E F 0 0

3 Name Problem Solving. Write Math Write directions for plotting a point to represent the ordered pair (, ).. If the y-coordinate for a point is zero, on which axis will the point lie? Explain. Problem Solving Nathan and his friends are planning a trip to New York ity. Use the map for. Each unit represents city block.. What s the Error? Nathan says that Madison Square Garden is located at (0, ) on the map. Is his ordered pair correct? Explain.. Use Graphs The Empire State uilding is located blocks right and block up from (0, 0). Write the ordered pair for this location. Plot and label a point for the Empire State uilding. 0 ryant Park Madison Square Garden NY Public Library 0 0. Multi-Step Paulo walks from point to ryant Park. Raul walks from point to Madison Square Garden. If they only walk along the grid lines, who walks farther? Explain. Module Lesson

4 aily ssessment Task Fill in the bubble completely to show your answer. Use the map for.. ustin has the largest bat colony of any North merican city. In the evening, the bats fly out from under the ongress venue ridge. Which ordered pair shows the ongress venue ridge? (, ) (, 0) (0, ) (0, 0). You are standing very close to the O. Henry Museum. Where might you be standing? 0 State apitol Governor s Mansion ustin History enter ustin hildren s Museum Mathematical Processes O.Henry Museum ongress venue ridge 0 0 (, ) (, ) (, ) (0, 0). Multi-Step Look at the map. Today you went shopping at (0, ) and had lunch at (, ). Which locations did you visit? J and K J and M K and L K and M 0 L J M 0 K 0 TEXS Test Prep. Point R is units to the right and unit up from the origin. What ordered pair describes point R? (, ) (, ) (, 0) (, )

5 Homework and Practice Name Geometry and Measurement..,.. lso.. MTHEMTIL PROESSES..,..E. Ordered Pairs Use oordinate Grid M to write an ordered pair for the given point. oordinate Grid M. N _. O _ 0 Q. P _. Q _ Plot and label the points in oordinate Grid M. O P. R(, ). S(, 0) N. T(, ). U(0, ) 0 0. Is the ordered pair (, ) the same as the ordered pair (, )? Explain. Problem Solving The lvarez family is spending the afternoon at the outdoor shopping center. Use the map for 0. Each unit represents block. 0. The toy store is located block right and blocks up from (0, 0). Write the ordered pair for this location. Plot and label a point for the toy store.. s lma leaves the shoe store, it begins to rain. She runs to the closest store. How many blocks is it to the closest store? Explain. 0 jewelry store grocery store shoe store 0 0 Module Lesson

6 Lesson heck TEXS Test Prep Fill in the bubble completely to show your answer.. The instructions for plotting a point in the coordinate grid read, Start at the origin. Move right units and then up units. What is the ordered pair for the point? (, ) (, ) (, ) (, ). If you start at the origin, which of the following shows how to plot the point (,) in the coordinate grid? Move up units and then up units. Move right units and then right units. Move right units and then up units. Move right units and then up units. Use the map of the garden center for.. Which ordered pair shows the location of the annuals? (0, ) (, 0) (, ) (0, 0). Which type of plants would you find at (, )? perennials succulents 0 annuals perennials succulents roses herbs 0 0 roses herbs. Multi-Step Look at the map. Which are the correct ordered pairs for points and? (, ) and (0, ) (0, ) and (, ) (, 0) and (, ) (, ) and (, 0) 0 0 0