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1 Plotting Points --- In the Cartesian plane This material is the property of the AR Dept. of Education. It may be used and reproduced for non-profit, educational purposes only after contacting the ADE Distance Learning Center. mel
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2 First, let’s take a look at….
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3 A little history
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4 René Descartes (1596-1650)
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5 A little history René Descartes (1596-1650) philosopher
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6 A little history René Descartes (1596-1650) philosopher mathematician
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7 A little history René Descartes (1596-1650) philosopher mathematician joined algebra and geometry
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8 A little history René Descartes (1596-1650) philosopher mathematician joined algebra and geometry credited with--- Cartesian plane
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9 Now, let’s take a look at…
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10 Cartesian plane Formed by intersecting two real number lines at right angles
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11 Cartesian plane Horizontal axis is usually called the x-axis
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12 Cartesian plane Vertical axis is usually called the y-axis
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13 Cartesian plane x-y plane Also called:
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14 Cartesian plane x-y plane rectangular coordinate system Also called:
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15 Now, let’s take a closer look…
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16 Cartesian plane Divides into Four Quadrants
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17 Cartesian plane Divides into Four Quadrants I
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18 Cartesian plane Divides into Four Quadrants I II
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19 Cartesian plane Divides into Four Quadrants I II III
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20 Cartesian plane Divides into Four Quadrants I II III IV
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21 Cartesian plane Divides into Four Quadrants and… I II III IV
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22 Cartesian plane The intersection of the two axes is called the origin
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23 Cartesian plane Math Alert The quadrants do not include the axes I II III IV
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24 Cartesian plane Math Alert A point on the x or y axis is not in a quadrant I II III IV
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25 Cartesian plane Each point in the x-y plane is associated with an ordered pair, (x,y) (x,y)
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26 The x and y of the ordered pair, (x,y), are called its coordinates Cartesian plane (x,y)
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27 Math Alert There is an infinite amount of points in the Cartesian plane Cartesian plane
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28 Take note of these graphing basics
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29 Always start at (0,0)---every point “originates” at the origin Cartesian plane
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30 In plotting (x,y) ---remember the directions of both the x and y axis Cartesian plane y x
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31 Cartesian plane (x,---) x-axis goes left and right
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32 Cartesian plane (---,y) y-axis goes up and down
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33 Now, let’s look at graphing…
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34 Now, let’s look at graphing…
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35 Cartesian plane Start at (0,0) (, ---) Move right 2 +
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36 Cartesian plane (---, ) (---, 1) Move up 1 +
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37 Now, let’s look at graphing…
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38 Now, let’s look at graphing…
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39 Cartesian plane Start at (0,0) (, ---) Move right 4 +
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40 Cartesian plane (---, ) (---, -2) Move down 2 -
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41 Now, let’s look at graphing…
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42 Now, let’s look at graphing…
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43 Cartesian plane Start at (0,0) (, ---) Move left 3 -
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44 Cartesian plane (---, ) (---, 5) Move up 5 +
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45 Now, let’s look at graphing…
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46 Now, let’s look at graphing…
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47 Cartesian plane Start at (0,0) (none,---) No move right or left
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48 Cartesian plane (0, ) (---, 4) Move up 4 +
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49 Now, let’s look at graphing…
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50 Now, let’s look at graphing…
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51 Cartesian plane Start at (0,0) (,---) Move left 5
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52 Cartesian plane ( ---, 0) No move up or down
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53 Now, let’s look at a little graphing practice…
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54 Cartesian plane Approximate the coordinates of the point--- Or what is the ‘(x,y)’of the point? Directions:
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55 Cartesian plane Approximate the coordinates of the point Directions:
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56 Cartesian plane Approximate the coordinates of the point Directions:
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57 Cartesian plane Approximate the coordinates of the point Directions:
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58 Cartesian plane Approximate the coordinates of the point Directions:
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59 Cartesian plane Approximate the coordinates of the point Directions:
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60 Cartesian plane Approximate the coordinates of the point Directions:
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61 Cartesian plane Approximate the coordinates of the point Directions:
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62 Cartesian plane Approximate the coordinates of the point Directions:
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63 Cartesian plane Approximate the coordinates of the point Directions:
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64 Cartesian plane Approximate the coordinates of the point Directions:
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65 Cartesian plane Approximate the coordinates of the point Directions:
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66 Cartesian plane Find the coordinates of the point two units to the left of the y-axis and five units above the x-axis Directions:
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67 Cartesian plane Find the coordinates of the point two units to the left of the y-axis and five units above the x-axis Directions:
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68 Cartesian plane Find the coordinates of the point on the x-axis and three units to the left of the y-axis Directions:
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69 Cartesian plane Find the coordinates of a point on the x- axis and three units to the left of the y-axis Directions:
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70 Plotting Points --- In the Cartesian plane This material is the property of the AR Dept. of Education. It may be used and reproduced for non-profit, educational purposes only after contacting the ADE Distance Learning Center. mel
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