1. Understanding Ordered Pairs 5.G.A.1

2. 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 y-axis Here is a number line.We’ll name this number line the x-axis. Notice that the x-axis is a horizontal number line.Here is another number line. See how the zero point on each number line intersects.We’ll name this number line the y-axis. The y-axis is a vertical number line. Understanding Ordered Pairs x-axis

3. (9,4) We can use the combination of the x-axis and the y-axis to define specific points.This set of numbers with parentheses is called an ordered pair. Let’s find the location of (9,4).First, the “9” means 9 along the x-axis.Then, the “4” means 4 along the y-axis.This is the only point that is both at 9 along the x-axis and 4 along the y-axis.So, this is the point referred to by the ordered pair (9,4). Ordered Pairs Understanding Ordered Pairs 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 x-axis y-axis

4. (7,6) This is ordered pair (7,6).First, the “7” means 7 along the x-axis.The “6” means 6 along the y-axis.This is the only point that is both at 7 along the x-axis and 6 along the y-axis.So, this is the point referred to by the ordered pair (7,6). Understanding Ordered Pairs 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 x-axis y-axis Ordered Pairs

5. (3,7) This is ordered pair (3,7).The “3” means 3 along the x-axis.The “7” means 7 along the y-axis.This is the only point that is both at 3 along the x-axis and 7 along the y-axis.So, this is the point referred to by the ordered pair (3,7). 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 x-axis y-axis Understanding Ordered Pairs Ordered Pairs

6. (10,2) This is ordered pair (10,2).The “10” means 10 along the x-axis.The “2” means 2 along the y-axis.This is the only point that is both at 10 along the x-axis and 2 along the y-axis.So, this is the point referred to by the ordered pair (10,2). 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 x-axis y-axis Understanding Ordered Pairs Ordered Pairs

7. (2,5) This is ordered pair (2,5).The “2” means 2 along the x-axis.The “5” means 5 along the y-axis.This is the only point that is both at 2 along the x-axis and 5 along the y-axis.So, this is the point referred to by the ordered pair (2,5). 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 x-axis y-axis Understanding Ordered Pairs Ordered Pairs

8. 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 x-axis y-axis This number line represents the x-axis.And, this number line represents the y-axis.Here is a grid to help us see more clearly along both axes at the same time. Understanding Ordered Pairs Ordered Pairs

9. (9,3) Let’s find the location of ordered pair (9,3).We move 9 along the x-axis …… and 3 along the y-axis.This is the location of the ordered pair (9,3). 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 x-axis y-axis Understanding Ordered Pairs Ordered Pairs

10. (4,6) Let’s find the location of ordered pair (4,6).We move 4 along the x-axis …… and 6 along the y-axis.This is the location of the ordered pair (4,6). 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 x-axis y-axis Understanding Ordered Pairs Ordered Pairs

11. (2,7) Let’s find the location of ordered pair (2,7).We move 2 along the x-axis …… and 7 along the y-axis.This is the location of the ordered pair (2,7). 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 x-axis y-axis Understanding Ordered Pairs Ordered Pairs

12. 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 x-axis y-axis Understanding Ordered Pairs Ordered Pairs (6,4) To find (6,4) …… look for 6 on the x-axis.Then, look for 4 on the y-axis.Here is (6,4).

13. 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 x-axis y-axis Understanding Ordered Pairs Ordered Pairs (4,7) To find (4,7) …… look for 4 on the x-axis.Then, look for 7 on the y-axis.Here is (4,7).

14. 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 (5,4) To find (5,4) …… look for 5 on the x-axis.Then, look for 4 on the y-axis.Here is (5,4). x-axis y-axis Understanding Ordered Pairs Ordered Pairs

15. 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 x-axis y-axis Understanding Ordered Pairs Ordered Pairs (6,5) What ordered pair describes this point?

16. (7,1) What ordered pair describes this point? 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 x-axis y-axis Understanding Ordered Pairs Ordered Pairs

17. 2 4 6 8 10 12 14 16 2 4 6 8 10 12 14 16 18 20 22 24 This number line represents the x-axis.And, this number line represents the y-axis.Here is a grid to help us see more clearly along both axes at the same time. x-axis y-axis Understanding Ordered Pairs Ordered Pairs

18. 2 4 6 8 10 12 14 16 2 4 6 8 10 12 14 16 18 20 22 24 (17,10) To find (17,10) …… look for 17 on the x-axis.Then, look for 10 on the y-axis.Here is (17,10). x-axis y-axis Understanding Ordered Pairs Ordered Pairs

19. 2 4 6 8 10 12 14 16 2 4 6 8 10 12 14 16 18 20 22 24 (8,13) To find (8,13) …… look for 8 on the x-axis.Then, look for 13 on the y-axis.Here is (8,13). x-axis y-axis Understanding Ordered Pairs Ordered Pairs

20. 2 4 6 8 10 12 14 16 2 4 6 8 10 12 14 16 18 20 22 24 (23,5) To find (23,5) …… look for 23 on the x-axis.Then, look for 5 on the y-axis.Here is (23,5). x-axis y-axis Understanding Ordered Pairs Ordered Pairs

21. Understanding Ordered Pairs Lightning Round

22. (7,1) 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 Name the ordered pair. Understanding Ordered Pairs

23. (0,3) 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 Name the ordered pair. Understanding Ordered Pairs

24. 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 Name the ordered pair. Understanding Ordered Pairs (3,6)

25. 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 Name the ordered pair. Understanding Ordered Pairs (7,0)

26. 2 4 6 8 10 12 14 16 2 4 6 8 10 12 14 16 18 20 22 24 (3,13) Name the ordered pair. Understanding Ordered Pairs

27. Closing Question Understanding Ordered Pairs

28. (22,15) 2 4 6 8 10 12 14 16 2 4 6 8 10 12 14 16 18 20 22 24 Name the ordered pair. Understanding Ordered Pairs