Identify and graph ordered pairs on a coordinate grid.

Transcription

1 Ordered Pairs Teacher Notes Objective Identif and graph ordered pairs on a coordinate grid. Use these worksheets if students have trouble graphing on the coordinate plane graphing proportional relationships Vocabular coordinate grid ordered pair origin -ais -ais Getting Started Project a coordinate grid on the board. Point out the - and -aes. Plot a point. What is the ordered pair? Practice plotting points. Where is (0, 0)? This is the origin. Lesson Information Remind students that ordered pairs list coordinates. The coordinates, when taken together, represent a point on the coordinate grid. Math Challenge Partner Pictures Give each student a coordinate grid. Tell students to draw a simple shape on their grid and plot the points. Then have them write ordered pairs on paper and give the ordered pairs to their partner. Their partners will use the ordered pairs to recreate the shape on a blank coordinate grid. Differentiated Instruction Visual Learners Draw or distribute a coordinate graph. Have students plot the following points: (, ), and (, -). Have students connect the points. Ask students to name the two ordered pairs on the graph. Now have students plot (, ) and connect the points. What shape is formed? triangle Kinesthetic Learners Students can measure the classroom and make a coordinate grid using masking tape. Students can work in small groups to make a map of the classroom b plotting points for the locations of objects in the classroom.

2 Assess Step Project a coordinate grid on the board. Ask students to guide ou to graph several points such as, (, 7), (, ), and ( 8, ). Then ask them to name the ordered pairs of other points that ou plot. Step Write five points on the board that include at least one point in each quadrant. Tell students to graph these points. Have students share their work and discuss their strategies. Step Tell students to draw a coordinate grid on paper. Ask them to plot an two points of their choosing, making certain to label the points. Tell them to write their method for naming the points.

3 Lesson - NAME Vocabular and English Language Development DATE Activate Prior Knowledge Use a coordinate grid to locate and label points. The cit of Philadelphia was laid out in a grid pattern b William Penn and Thomas Holmes. Use a coordinate grid to find locations. Locate and mark the origin. Label it Cit Hall. Give its coordinates O Chapter Move east 9 blocks from Cit Hall. Mark the point and label it Libert Bell. Give its coordinates. Move south block from Libert Bell. Mark the point and label it Independence Hall. Give its coordinates. Move east blocks and north blocks from Independence Hall. Mark the point and label it Bets Ross House. Give its coordinates. Move west blocks from Bets Ross House. Mark the point and label it U.S. Mint. Give its coordinates. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Definition Review Match the vocabular word to its location on the graph. 6 origin 8 -ais 0 coordinate grid Application 7 -ais 9 ordered pair Follow the directions to demonstrate plotting a point. Work as a class. Clear an area on a tile floor. Use tape to mark the - and -aes, and, if needed, to mark the grid lines. An auditorium, a gm, or an outdoor paved area could also be used. The teacher writes ordered pairs on the board. One at a time, students start at the origin and walk along the grid to the location of a specified ordered pair. Repeat until all students have graphed a point. B E D A (, 6) C Math Triumphs Lesson - A

4 Lesson - NAME Skills Practice DATE Name the ordered pair for each point. A B C D E A E C ----O B D 6 F 7 G 8 H 9 I 0 J I J ---- O F - H - - G Graph the ordered pairs. Graph the ordered pairs K (, ) and L (, ). Then connect the points. (, ) and (, ) are on a line parallel to the -ais because the have the same -coordinates O Graph the ordered pairs M (, ) and N (, ). Then connect the points. (, ) and (-, ) are on a line parallel to the -ais because the have the same -coordinates. Graph the ordered pairs: P (-, ) Q (-, 0) R (, ) S (, ) T (, -) U (-, -) ---- O O Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. A6 Lesson - Math Triumphs

5 Lesson - NAME Problem-Solving Practice DATE Solve. CHESS Della is plaing chess. She moves her queen from position (8, ) to position (, ). Graph the points. How man spaces did Della move her queen? CITIES Amanda has a map of her hometown. Each square represents one block. Give the coordinates of the Fire Station and the Police Station. How man blocks separate these buildings? CITIES Use the map of Amanda s hometown from Eercise above. Give the coordinates of the Hospital and the Fire Station. How man blocks separate these buildings? O Hospital Fire Station ---- O Police Station Chapter Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. BOARD GAMES Blake and Juan are plaing a militar strateg game on a board which has been marked in a grid pattern. Blake attacked at location A on his first move and location B on his second move. Give the coordinates of each point and the number of spaces between Blake s first and second attacks. GRAPHING SENSE Graph the points (-, ) and (, ) on the coordinate grid shown. What is the distance between these two points? Eplain how this distance could be found without graphing the points. 6 GRAPHING SENSE Graph the points (, -) and (, ) on the coordinate grid shown. What is the distance between these two points? Eplain how this distance could be found without graphing the points. A ---- O - B O O Math Triumphs Lesson - A7

6 Lesson - NAME Homework Practice DATE Name the ordered pair for each point. Z X V Graph the ordered pairs. 7 Graph the ordered pairs T (, -) and S (-, -). Then connect the points. (, -) and (-, -) are on a line parallel to the -ais because the have the same Y W 6 U -coordinate. Z Y V ----O - W - X- U ---- O Graph the ordered pairs R (-, ) and Q (-, 0). Then connect the points. (-, ) and (-, 0) are on a line parallel to the -ais because the have the same -coordinate. Write the vocabular word that completes the sentence. 9 A is a grid in which a horizontal number line and a vertical number line intersect at their zero points. Solve. 0 GRAPHING SENSE Graph the points (-, ) and (-, -) on the coordinate grid shown. What is the distance between these two points? Give two was to find the distance O O Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. A8 Lesson - Math Triumphs

7 Ordered Pairs Answers Vocabular and English Language Development Coordinate grid for Eercises.. (0, 0). (9, 0). (9, ). (, ). (0, ) 6. D 7. C 8. E 9. A 0. B Skills Practice. (, ). (, ). (, 0). (, ). (, ) 6. (0, ) 7. (, ) 8. (, ) 9. (, ) 0. (, ).

8 .. Problem-Solving Practice. 7 Spaces. Fire Station (, ), Police Station (, ), blocks. Hospital (, ), Fire Station (, ), 6 blocks. A(, ), B(, ), spaces. 9 units; The points are on the same line because the have the same -coordinate. To find the distance between two points having the same -coordinate, subtract the -coordinates: = 9.

9 6. units; The points are on the same line because the have the same -coordinate. To find the distance between two points having the same -coordinate, subtract the -coordinates: =. Homework Practice. (, ). (, ). (, ). (0, ). (, 0) 6. (, ) coordinate grid 0. 7 units; Count the spaces between the points to find the distance. Since the points have the same -coordinate, subtract the -coordinates to find the distance: = 7.

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