Lesson 1 4 Ordered Pairs and Relations.notebook. September 10, Lesson 1 4. Ordered Pairs and Relations
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1 Lesson 1 4 Ordered Pairs and Relations 1
2 WHY? If "starting point" is (0,0), name the locations for Clue 1, Clue 2, and Clue 4. 2
3 Why Answer: Clue 1: (2, 1) Clue 2: (3, 2) Clue 4: (4, 5) 3
4 Quick Review Simplify each expression below. 1) m * (4 * 3) 2) j j 3) 4g g 12m j 5g + 3 4) 6r(4) 24r 4
5 Vocabulary: Coordinate System: formed by the intersection of two number lines that meet at right angles at their zero points (aka Coordinate Plane) y axis: The vertical number line x axis: The horizontal number line origin:the point at which the number lines intersect in a coordinate system. 5
6 Vocabulary: ordered pair: A pair of numbers used to locate any point on the coordinate plane. (x,y) x coordinate: The first number y coordinate: The second number *To graph an ordered pair, draw a dot at the point that corresponds to the ordered pair. The coordinates are your directions to locate the point. 6
7 Notes and Examples! Example 1: Graph Ordered Pairs Graph each ordered pair on a coordinate plane. 7
8 Notes and Examples! Example 1: Graph Ordered Pairs Graph each ordered pair on a coordinate plane. 8
9 Check Your Progress Think Pair Share Graph each ordered pair on a coordinate plane. a) (2, 3) b) (5, 0) c) (3, 1.5) d) (6.5, 5.5) 9
10 Notes and Examples! Example 2: Identify Ordered Pairs Write the ordered pair that names each point. 10
11 Check Your Progress Think Pair Share Write the ordered pair that names each point. e) C e f) D f 11
12 Vocabulary: relation: A set of ordered pairs domain:the domain of a relation is the set of all x coordinates from each pair range: The range of a relation is the set of all y coordinates from each ordered pair 12
13 Notes and Examples! Example 3: Relations as Tables Express the relation {(0,2), (1, 4), (2, 5), (3, 7)} as a table. Then, determine the domain and range. Domain Range 13
14 Check Your Progress Think Pair Share Write the ordered pair that names each point. g) Express the relation {(2, 4), (0, 3), (1, 4), (1, 1)} as a table. Then, determine the domain and range. Domain Range 14
15 Find the following for the grid at the right. Relation: Domain: Range: 15
16 Word Problem Practice Example 4: Real World Example A seahorse swims at a rate of about 5 feet per hour. a) Make a table of ordered pairs in which the x coordinate represents the hours and the y coordinate represents the number of feet for 1, 2, and 4 hours. b) Graph the ordered pairs and describe the graph. Table Graph 16
17 Check your Understanding Graph each ordered pair on the coordinate plane. 1) F(6,0) 2) A(2,5) 3) W(4,1) 4) Z(0,1) 17
18 Check your Understanding Write the ordered pair that names each point. 5) J 6) K 7) L 8) M 18
19 Check your Understanding Express each relation as a table. Then, determine the domain and range. 9) {(3, 4), (1, 5), (4, 2)} 10) {(1, 3), (2, 6), (3, 3), (4, 7)} 19
20 test practice Rectangle ABCD has vertices A(1, 3), B(1, 6), and C(5, 6). What are the coordinates of point D? A) (6, 5) B) (5, 1) C) (5, 3) D) (6, 1) 20
21 CHALLENGE of the DAY What is the next number in this sequence? 1, 2, 6, 15, 31 Answer 21
22 Complete Lesson 1-4 "Practice" Worksheet- back only. 22
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