Name 17-4A. 1. Which is the least horizontal distance between two of the points shown at the right? A 1 unit B 2 units C 4 units D 6 units

Transcription

1 Quick Check 1. Which is the least horizontal distance between two of the points shown at the right? A 1 unit B 2 units C 4 units D 6 units 2. On a map of Doug s town the fire station is at (4, 9). The police station is at (4, 2). How many units apart are the stations? A 0 units B 1 unit C 4 units D 7 units y C A D F B E On a map of Jill s town the harbor is at (2, 9) and the train station is at (2, 8). What is the vertical distance between the harbor and the train station? A 1 unit B 2 units C 4 units D 7 units x 4. Writing to Explain In Darla s backyard there are 5 trees. Each tree is 2 units apart from another tree. She wrote an ordered pair for the location of each tree. Her friend Jerry thinks one of the ordered pairs is incorrect. Explain if Jerry is correct or not. Darla s Backyard Tree x y Walnut 1 6 Birch 1 4 Apple 3 4 Evergreen 3 2 Pine 1 1 Q 17 4A

2 Partner Talk Share your thinking while you work. Get Started or Read the two ordered pairs. Tell whether the line segment connecting the two points is a horizontal or a vertical line segment. Calculate the length of that line segment. Display each 0 9 tile exactly once. If you have a partner, take turns. a. (2, 7) and (7, 7) b. (0, 7) and (0, 14) c. (3, 2) and (3, 10) d. (1, 5) and (4, 5) e. (1, 3) and (1, 12) f. (6, 0) and (6, 6) g. (7, 5) and (11, 5) h. (0, 0) and (1, 0) i. (1, 2) and (1, 22) If you have more time Make up another puzzle like this one. Ask your partner to display the answers with 0 9 tiles. Center Activity H

3 Partner Talk Share your thinking while you work. Get Started or Pick a tile. That is the length of a line segment. Find the two ordered pairs that determine the endpoints of a horizontal or a vertical line segment that has that length. Display each 0 9 tile exactly once. If you have a partner, take turns. a. (0, 0) and (0, 1) b. (2, 6) and (8, 6) c. (2, 4) and (6, 4) d. (5, 3) and (5, 5) e. (3, 1) and (11, 1) f. (10, 12) and (10, 15) g. (7, 3) and (7, 10) h. (2, 3) and (2, 3) i. (0, 5) and (0, 14) j. (6, 7) and (11, 7) a b c d e f g h i j If you have more time Make up another puzzle like this one. Ask your partner to display the answers with 0 9 tiles. Center Activity HH

4 Distances on a Coordinate Plane Reteaching Jocelyn is going to plant carrots in rows. She is using a coordinate grid to help her arrange the rows. How long is each row? Compare the ordered pairs at each end of Row 1: (2, 2) (8, 2) The y-values are the same, so you know the row is horizontal. The x-values are different. You can subtract the x-values to find the length of the row The length of Row 1 is 6 units. How far away is the first row from the third row? y Compare the first ordered pairs from Rows 1 and 3: (2, 2) (2, 6) The x-values are the same, so you know the distance is vertical. To find the distance between the first and third rows, subtract the y-values The distance between the first row and the third row is 4 units. Row 3 Row 2 Row 1 x Find the distance between the ordered pairs. 1. (2, 2), (8, 2) units 2. (3, 4), (3, 9) units 3. (8, 4), (1, 4) units 4. (1, 9), (9, 9) units 5. (6, 1), (6, 5) units 6. (1, 9), (1, 1) units 7. If the ordered pairs (1, 4) and (9, 4) are connected to make a line, is the line vertical or horizontal? R 17 4A

5 Distances on a Coordinate Plane For 1 through 12, find the distance between the ordered pairs. You can use grid paper to help. Practice 1. (1, 7), (5, 7) 2. (3, 9), (3, 1) 3. (2, 6), (2, 0) 4. (12, 2), (1, 2) 5. (2, 7), (2, 8) 6. (1, 5), (5, 5) 7. (0, 1), (0, 3) 8. (15, 9), (4, 9) 9. (8, 4), (8, 8) 10. (7, 7), (7, 9) 11. (18, 7), (18, 13) 12. (16, 9), (16, 11) 13. On a map, a museum is located at (15, 17). A library is located at (2, 17). How many units away is the museum from the library? 14. Matthew has two friends who live on the same block. On a map, Matthew s house is located at (4, 2). Matthew s friend Josh lives at (4, 1). Their mutual friend Kenny lives at (4, 8). Which friend lives farther from Matthew? 15. On a map, a costume store is located at (18, 7). A general store is located at (11, 7). How many units away is the costume store from the general store? A 6 units B 7 units C 8 units D 9 units 16. On a map, John is standing at (11, 11). His friend Lucy is standing at (1, 11). John took 10 steps to the right. Is he standing with Lucy now? P 17 4A

6 Amazing Grid Use the grid below to help Alice find her way through a maze. Each square equals one square yard. Map and label the following ordered pairs and connect them with a line in the order they are listed. Then, find the distance between each set of ordered pairs. Add these distances to find the total number of yards Alice walked to reach the end of the maze. 1. Point A to Point B (2, 0) 2. Point B to Point C (2, 3) Enrichment 3. Point C to Point D (6, 3) 5. Point E to Point F (11, 2) 7. Point G to Point H (2, 5) 9. Point I to Point J (4, 9) 11. Point K to Point L (9, 12) 13. Point M to Point N (11, 9) 15. Point O to Point P (14, 14) 17. Point Q to Point R (12, 3) 19. Point S to Point T (4, 7) 21. Point U to Point V (8, 8) 4. Point D to Point E (6, 2) 6. Point F to Point G (11, 5) 8. Point H to Point I (2, 9) 10. Point J to Point K (4, 12) 12. Point L to Point M (9, 9) 14. Point N to Point O (11, 14) 16. Point P to Point Q (14, 3) 18. Point R to Point S (12, 7) 20. Point T to Point U (4, 8) Alice walked yards. y A x E 17 4A