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What Comes Next

What Comes Next. Here is a sequence of letters: O T  T  F  F  S  ____, _____, _____ What 4 letters come next in this sequence? What does the sequence represent?. Solution. The next four letters are S, E, N, and T.

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What Comes Next

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  1. What Comes Next • Here is a sequence of letters: • O T  T  F  F  S  ____, _____, _____ • What 4 letters come next in this sequence? • What does the sequence represent?

  2. Solution • The next four letters are S, E, N, and T. • Each letter is the first letter of a number written in word form, the numbers being the sequence of natural numbers: One, Two, Three, Four, Five, Six, Seven, Eight, Nine, Ten.

  3. 3-3 The Coordinate Plane

  4. Coordinate Planes Y-axis 4 3 2 1 -1 -2 -3 -4 Quadrant Two Quadrant One X-axis -4 -3 -2 -1 0 1 2 3 4 Quadrant Three Quadrant Four origin

  5. An ordered pair is a pair of numbers used to locate a point on the coordinate plane. The ordered pair is always listed with the x-coordinate then the y-coordinate. ( x, y) Ex. (5, -3) Quadrant Two (-, +) Quadrant One ( +, +) 4 3 2 1 -1 -2 -3 -4 -4 -3 -2 -1 0 1 2 3 4 Quadrant Three (-, -) Quadrant Four (+, -)

  6. To read or write an ordered pair always locate the x coordinate first. X -Axis -4 -3 -2 -1 0 1 2 3 4 ( 1, )

  7. Then locate the y coordinate. 4 3 2 1 -1 -2 -3 -4 ( 1, 3 ) Y axis

  8. The ordered pair at the origin is (0, 0) What are the ordered pairs for these points? (3,4) (-3, 3) 4 3 2 1 -1 -2 -3 -4 (1,1) -4 -3 -2 -1 0 1 2 3 4 (2, -2) (-4, 0) (0, -3)

  9. Plot the following points on the coordinate plane. (2, -4)(-1, -1)(3, 2)(-4, 3) 4 3 2 1 -1 -2 -3 -4 -4 -3 -2 -1 0 1 2 3 4

  10. When will we use this? • The coordinate plane is used to locate places on a map. Lines of latitude and longitude are used. • Hurricane tracking uses the coordinate plane.

  11. Summary • The coordinate plane is used to plot points on a graph. • There are 4 Quadrants in the coordinate plane. • The x-axis is the horizontal axis, the y-axis is the vertical axis. • Points are written as ordered pairs: (x, y). • To locate a point on a graph locate the • x-coordinate first and then the y-coordinate.

  12. The End Don’t Forget: Homework- Lesson 3-3 # 2-22 evens

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