lesson menu main idea new vocabulary ngsss example 1:name an ordered pair example 2:name an ordered...
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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
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• Graph rational numbers on the coordinate plane and use the coordinate plane to represent relations.
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• coordinate plane
• origin
• y-axis
• x-axis
• quadrants
• ordered pair
• x-coordinate
• y-coordinate
• relation
• domain
• range
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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.
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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
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Name the ordered pair for point A.
A.
B.
C.
D.
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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 .
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Name the ordered pair for point B.
A.
B.
C.
D.
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Graph Ordered Pairs
Graph J(–3, 2.75) on a coordinate plane.
● Start at the origin and move 3 units left. Thenmove up 2.75 units.
● Draw a dot and label itJ(–3, 2.75).
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Graph Ordered Pairs
Answer:
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Graph M(–2, –3.25) on a coordinate plane.
A. B.
C. D.
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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
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Graph Ordered Pairs
Answer:
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Graph on a coordinate plane.
A. B.
C. D.
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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 andrange.
Place the ordered pairs in a table with x-coordinates in the first column and the y-coordinates in the second column.
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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.
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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}
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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:
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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:
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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.
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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.
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Name the ordered pair for point A.
A. (–4, 0)
B. (–2, –1)
C.
D. (0, 2)
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Name the ordered pair for point B.
A. (–4, 0)
B. (–2, –1)
C.
D. (0, 2)
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Name the ordered pair for point C.
A. (–4, 0)
B. (–2, –1)
C.
D. (0, 2)
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Name the ordered pair for point D.
A. (–4, 0)
B. (–2, –1)
C.
D. (0, 2)
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State the domain and range of the relation. {(3, 6), (–1, 0), (2, 6), (–4, –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}
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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?
A. (–3, –5)
B. (–5, –3)
C. (–3, –2)
D. (–2, –3)
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