Hands On: Graph Ordered Pairs of Integers
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1 Hands On: Graph Ordered Pairs of Integers Find (, -) on the coordinate plane. Step Step Start at the origin. is the x-coordinate and it is positive. So move right. - is the -coordinate and it is negative. So move down. _ 0 _ Chapter, Lesson MG.0, NS.8 x (, _ ) Find the point on the coordinate plane.. (, ). Label it A.. ( -, ). Label it B.. (, - ). Label it C.. ( -, - ). Label it D. Write the coordinates of the point.. E. F 7. G 8. H F _ 0 _ E H x G (Chapter, Lesson ) KEY MG., KEY MG.0 9. Plot point (, ) on the coordinate grid. 0. Plot point (, ) on the coordinate grid.. Points (, ) and (, ) are on the graph of the equation = x. What are two other points on that graph? x Copright Houghton Mifflin Compan. All rights reserved. 0 Use with text pages 8 87.
2 Hands On: Graph Ordered Pairs of Integers Chapter, Lesson MG.0, NS.8 Find the locations on a coordinate plane. For Problems, ou begin with the answer of the problem before. 0 x. Begin at the origin (0, 0). Move right and up. Where are ou?. Move up and left. Where are ou?. Move left, down, and left. Where are ou?. Move 8 down, 7 right, and up. Where are ou?. Move 7 down, left, down, and left. Where are ou?. Move up, right, up, right, up, right, up, and right. Where are ou? Copright Houghton Mifflin Compan. All rights reserved. 9 Use with text pages 8 87.
3 Hands On: Graph Ordered Pairs of Integers Chapter, Lesson MG.0, NS.8 On the coordinate plane, positive numbers are right and up. Negative numbers are left and down. C A _ 0 D _ x B A is at (, ). Both numbers are positive. B is at (, - ). The x-coordinate is positive and the -coordinate is negative. C is at ( -, ). The x-coordinate is negative and the -coordinate is positive. D is at ( -, - ). Both numbers are negative. Find the point in the coordinate plane. F _ 0 E _ G x H. (, ). Label it A.. ( -, ). Label it C.. (, - ). Label it B.. ( -, - ). Label it D. Write the coordinates of the point.. E. F 7. G 8. H Writing Math Explain how to plot (, ) on the coordinate plane. Copright Houghton Mifflin Compan. All rights reserved. Use with text pages 8 87.
4 Graph Ordered Pairs of Integers Chapter, Lesson MG.0, NS.8 Find (, - ) on the coordinate plane. Step Step Start at the origin. is the x-coordinate and it is positive. So move right. - is the -coordinate and it is negative. So move down. 0 x (, _ ) Find, mark, and label the following points on the coordinate plane.. A (, ). B ( -, - ). C (0, ). D (, 0). E ( -, ). F ( -, - ) 7. G (, - ) 8. H (0, 0) 7 _ 7 _ 0 7, D 7 x (Chapter, Lesson ) KEY NS feet = inches 0. ards = feet. It is miles from Sall s home to school. How man feet is that? Copright Houghton Mifflin Compan. All rights reserved. Use with text pages 88 9.
5 Graph Ordered Pairs of Integers Chapter, Lesson MG.0, NS.8 The four parts of the coordinate grid are called quadrants. The quadrants are numbered as shown. II I _ 0 x III _ IV Solve each problem. You can use the coordinate grid to help ou.. Name an ordered pair that is in quadrant I.. Name an ordered pair that is in quadrant III.. In which quadrant is (, - 8)?. In which quadrant is ( -, 77)?. Name an ordered pair that is to the left of the -axis and isn t in an quadrant.. Name an ordered pair that is above the x-axis and isn t in an quadrant. Copright Houghton Mifflin Compan. All rights reserved. Use with text pages 88 9.
6 Graph Ordered Pairs of Integers Chapter, Lesson MG.0, NS.8 On the coordinate plane, positive numbers are right and up. Negative numbers are left and down. B A _ 0 C _ x D A is at (, ). Both numbers are positive. B is at ( -, ). The x-coordinate is negative and the -coordinate is positive. C is at ( -, - ). Both numbers are negative. D is at (, - ). The x-coordinate is positive and the -coordinate is negative. Find, mark, and label the following points on the coordinate grid. _ 0 x _. A (, ). B ( -, ). C ( -, - ). D (, - ). E (0, ). F ( -, 0) 7. G (0, 0) 8. H (0, - ) Writing Math An ordered pair is below the x-axis and to the left of the -axis. What do ou know about the two numbers in the pair? Copright Houghton Mifflin Compan. All rights reserved. Use with text pages 88 9.
7 Lengths of Horizontal and Vertical Line Segments Chapter, Lesson MG., MG. To find the length of a horizontal line segment, find the difference between the x-coordinates: distance from (, ) to (, ) = - = To find the length of a vertical line segment, find the difference between the -coordinates: distance from (8, 7) to (8, ) = 7 - = Graph each pair of points. Find the length of the segment that connects each pair of points.. (, ) (, 9) (, ) (, ). (, 0) (0, 0). (0, 0) (0, 8) 8 7. (, ) (, 0). (, 0) (9, 0) x (Chapter, Lesson ) KEY MG.0, MR. Plot each point and label it. 7. A (, ) 8. B (0, ) 9. What are the coordinates of point C on the coordinate grid? 0 C x Copright Houghton Mifflin Compan. All rights reserved. Use with text pages 9 9.
8 Lengths of Horizontal and Vertical Line Segments Chapter, Lesson MG., MG. Solve each problem. You can use the coordinate grid to help ou. 0 x. The ends of one side of a square are at (, ) and (7, ). What is the length of the side?. The ends of a side of a rectangle are at (, ) and (, 0). What is the length of that side?. The ends of a long side of a parallelogram are at (0, 0) and (0, ). What is the length of that side?. The ends of one base of a trapezoid are at (, 7) and (0, 7). What is the length of that side?. The vertex of the right angle of a right triangle is at (, ). The other vertices are at (, ) and (, ). What is the length of the side parallel to the x-axis?. An isosceles triangle has vertices at (, 0), (, 0), and (, 8). What is the length of the altitude? altitude Copright Houghton Mifflin Compan. All rights reserved. Use with text pages 9 9.
9 Lengths of Horizontal and Vertical Line Segments Chapter, Lesson MG., MG. To find the length of a horizontal line segment, find the difference between the x-coordinates. Subtract the smaller from the larger. To find the length of a vertical line segment, find the difference between the -coordinates. Subtract the smaller from the larger. C (, ) D (, ) A B (, ) (, ) Length of AB: - = 0 x Length of CD: - = Graph each pair of points. Find the length of the segment that connects each pair of points x. (, 8) (, ). (, ) (0, ). (0, ) (0, 7). (, ) (, ). (, ) (, 9). (, 0) (9, 0) Writing Math How can ou find the distance between two points b counting? Copright Houghton Mifflin Compan. All rights reserved. 8 Use with text pages 9 9.
10 Line Segments in the Coordinate Grid Chapter, Lesson MG., MG. How long is line segment AB? To find the length of a line segment, ou can count the, or ou can find the difference between the coordinates. 0 x A B _ (, _ ) (, _ ) Count the :,,, = Subtract the x-coordinates: - = Solution: Line segment AB is long. Graph and connect each pair of points. Then count to find the length of the line segment.. (, - ) (7, - ). ( -, - ) (, - ). (0, - ) (0, ) _ 7 _ x Subtract to find the length of the line segment that connects each pair of points.. ( -, ) ( -, 0). ( - 8, ) ( -, ) (Chapter 8, Lessons ) KEY NS.9. Compare. Write >, <, or = for the. 7. One worm is inches long. Another worm is 8 inches long. Which worm is longer? inches. Copright Houghton Mifflin Compan. All rights reserved. 8 Use with text pages 9 97.
11 Line Segments in the Coordinate Grid Chapter, Lesson MG., MG. Use subtraction or counting to find the distance between the points. You can use the coordinate grid to help ou. 0 x. A raccoon ran from (0, ) to (0, - 8). How far did it run?. A swan swam from (0, ) to ( -, ). How far did it swim?. A giraffe galloped from ( -, ) to ( -, - 9) and back to ( -, ). How far did it gallop?. A lion leaped from (7, 0) to ( -, 0). Then it leaped to (0, 0). How far did it leap?. A walrus walked from (, - 8) to (, ) to ( -, ). How far did it walk?. A hare hopped from ( -, ) to ( -, - ). It stopped to eat some carrots. Then it hopped to (7, - ). It took a nap. It hopped home to (7, 0). How far did it hop? Copright Houghton Mifflin Compan. All rights reserved. 7 Use with text pages 9 97.
12 Line Segments in the Coordinate Grid Chapter, Lesson MG., MG. To find the length of a line segment, ou can count the, or ou can find the difference between the coordinates. 0 x (, _ ) (, _ ) Count the :,,,,, = Subtract the x-coordinates: - = Graph and connect each pair of points. Then count the to find the length of the line segment.. ( -, ) (, ). (, ) (, - ). ( -, 0) (, 0) (, ) _ 0 _ (, ), x, ) Subtract to find the length of the line segment that connects each pair of points.. ( - 8, - ) ( -, - ). (0, 0) (0, 0) Writing Math Where on the coordinate grid is a number that is labeled with two positive numbers, for example (, 7)? Copright Houghton Mifflin Compan. All rights reserved. Use with text pages 9 97.
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