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Lesson 1-6 Pages 33-38 Ordered Pairs and Relations.

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Presentation on theme: "Lesson 1-6 Pages 33-38 Ordered Pairs and Relations."— Presentation transcript:

1 Lesson 1-6 Pages 33-38 Ordered Pairs and Relations

2 What you will learn! 1. How to use ordered pairs to locate points. 2. How to use tables and graphs to represent relations.

3 Coordinate system X-coordinateY-axisY-coordinate Coordinate Plane Graph OriginRelation X-axisDomain Ordered pair Range

4 What you really need to know! In mathematics, a coordinate system is used to locate points. The horizontal number line is called the x- axis and the vertical number line is called the y-axis.

5 What you really need to know! The point where the two axes intersect is the origin (0,0). An ordered pair of numbers is used to locate points in the coordinate plane. The point (4,3) has an x-coordinate of 4 and a y-coordinate of 3.

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7 Graph each ordered pair on a coordinate system. 1.(3,4) 2.(0,2) 0 1 2 3 4 6 5 7 8 9 0123456789

8 G (1,1) H (4,0) y x Example 2: Write the ordered pair that names each point. 0 1 2 3 4 6 5 7 8 9 0123456789 G H

9 Example 3: Express the relation {(1,4), (2,2), (3,0), (0,2)} as a table and as a graph. Then determine the domain and range.XY 14 22 30 02 D= {0,1,2,3} R={0,2,4}

10 y x 0 1 2 3 4 6 5 7 8 9 0123456789XY14 22 30 02 Example 3: Continued

11 Example 4: Austin earns $5 an hour doing yard work. Suppose x represents the number of hours Austin works. Make a table of ordered pairs in which the x-coordinate represents the hours worked and y represents the amount of money Austin earns for 1, 2, 3, 4, and 5 hours of work.

12 Example 4: ContinuedXY 15 210 315 420 525

13 Example 4: Cont. y x 0 5 10 15 20 30 25 35 40 45 0123456789XY15 210 315 420 525

14 Page 36 Guided Practice #’s 4-11 Link to Pre-Made Lesson

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18 Pages 33-35 with someone at home and study examples! Read:

19 Homework: Pages 36-38 #’s 12-24, 26-30, 32, 34, 36, 37-39, 47-48, 50-65 Lesson Check 1-6

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29 Page 725 Lesson 1-6

30 Lesson Check 1-6

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