2. Lesson Menu Main Idea New Vocabulary NGSSS Example 1:Name an Ordered Pair Example 2:Name an Ordered Pair Example 3:Graph Ordered Pairs Example 4:Graph Ordered Pairs Key Concept:Relations Example 5:Relations as Tables and Graphs Example 6:Real-World Example: Relations as Tables and Graphs Five-Minute Check

3. Main Idea Graph rational numbers on the coordinate plane and use the coordinate plane to represent relations.

4. Vocabulary coordinate plane origin y-axis x-axis quadrants ordered pair x-coordinate y-coordinate relation domain range

5. NGSSS MA.8.A.1.1 Create and interpret tables, graphs, and models to represent, analyze, and solve problems related to linear equations, including analysis of domain, range and the difference between discrete and continuous data.

6. Example 1 Name an Ordered Pair Name the ordered pair for point A. ●Start at the origin. ●Move right to find the x-coordinate of Point A, which is 2. ●Move up to find the y-coordinate, which is Answer:So, the ordered pair for Point A is

7. Example 1 CYP Name the ordered pair for point A. A. B. C. D.

8. Example 2 Name the ordered pair for point B. Name an Ordered Pair ●Start at the origin. ●Move left to find the x-coordinate of Point B, which is –2 ●Move down to find the y-coordinate, which is –2. Answer:So, the ordered pair for Point B is.

9. Example 2 CYP Name the ordered pair for point B. A. B. C. D.

10. Example 3 Graph Ordered Pairs Graph J(–3, 2.75) on a coordinate plane. ●Start at the origin and move 3 units left. Then move up 2.75 units. ●Draw a dot and label it J(–3, 2.75).

11. Example 3 Graph Ordered Pairs Answer:

12. Example 3 CYP Graph M(–2, –3.25) on a coordinate plane. A.B. C.D.

13. Example 4 Graph Ordered Pairs ●Start at the origin and move 4 units right. Then move down or 1.25 units. Graph on a coordinate plane. ●Draw a dot and label it

14. Example 4 Graph Ordered Pairs Answer:

15. Example 4 CYP Graph on a coordinate plane. A.B. C.D.

16. Key Concept

17. Example 5 Relations as Tables and Graphs Express the relation {(4, 2), (6, –1), (5, –3), (–2, –3)} as a table and a graph. Then state the domain and range. Place the ordered pairs in a table with x-coordinates in the first column and the y-coordinates in the second column.

18. Example 5 Relations as Tables and Graphs Answer:The domain is {–2, 4, 5, 6}. The range is {–3, –1, 2}. Graph the ordered pairs on a coordinate plane.

19. Example 5 CYP State the domain and range of the relation {(3, 5), (–4, 0), (2, –8), (6, 1)}. A.domain: {–4, 2, 3, 6}; range: {–8, 0, 1, 5} B.domain: {2, 3, 4, 6}; range: {0, 1, 5, 8} C.domain: {–8, 0, 1, 5}; range: {–4, 2, 3, 6} D.domain: {3, –4, 2, 6}; range: {5, –8, 1}

20. Example 6 A. PIES Mike is buying pies for a party. The price for 1 pie is $4. Make a table of ordered pairs in which the x-coordinate represents the number of pies and the y-coordinate represents the total cost for 2, 3, 4, and 5 pies. Relations as Tables and Graphs Answer:

21. Example 6 B. PIES Mike is buying pies for a party. The price for 1 pie is $4. Graph the ordered pairs. Relations as Tables and Graphs Answer:

22. Example 6A CYP A. RINGTONES Caden can download ringtones for his cellular phone for $2.00 each. Make a table of ordered pairs in which the x-coordinate represents the number of ringtones and the y-coordinate represents the total cost for 2, 3, 4, and 5 ringtones. A.B. C.D.

23. Example 6B CYP B. RINGTONES Caden can download ringtones for his cellular phone for $2.00 each. Graph the ordered pairs in which the x-coordinate represents the number of ringtones and the y-coordinate represents the total cost for 2, 3, 4, and 5 ringtones. A.B. C.D.

24. Name the ordered pair for point A. Five Minute Check 1 A.(–4, 0) B.(–2, –1) C. D.(0, 2)

25. Name the ordered pair for point B. Five Minute Check 2 A.(–4, 0) B.(–2, –1) C. D.(0, 2)

26. Name the ordered pair for point C. Five Minute Check 3 A.(–4, 0) B.(–2, –1) C. D.(0, 2)

27. Name the ordered pair for point D. Five Minute Check 4 A.(–4, 0) B.(–2, –1) C. D.(0, 2)

28. State the domain and range of the relation. {(3, 6), (–1, 0), (2, 6), (–4, –5)} Five Minute Check 5 A.domain: {–4, –1, 2, 3}; range: {–5, 0, 6} B.domain: {–5, 0, 6}; range: {–4, –1, 2, 3} C.domain: {1, 2, 3, 4}; range: {0, 5, 6} D.domain: {–1, 2, 3}; range: {–5, 0, 6}

29. The points W(–3, 5), X(5, 5), and Y(5, –2) lie on a coordinate plane. Points W, X, Y, and Z form a rectangle. What are the coordinates of point Z? Five Minute Check 6 A.(–3, –5) B.(–5, –3) C.(–3, –2) D.(–2, –3)