2. Grades: 6-8

3. 1. Given an ordered pair, students will be able to plot points with 95% accuracy. 2. Given an ordered pair, students will be able to tell what quadrants each point is in with 95% accuracy. 3. Given an equation, students will be able to graph the function with 85% accuracy.

4.  A room/area that has access to PowerPoint.  Computer Lab  Classroom with computers  At home  Library

5. Next Home Back Correct Wrong, please try again

6.  Do you like secrets?

7.  Well, I am Vicky and I have a secret to graphing coordinates. Do you want to know?

8.  Lesson on graphs Lesson on graphs  Lesson on quadrants Lesson on quadrants  Game Game  Lesson on order pairs Lesson on order pairs  Game Game  Two ways to Graph Equations  Using a table Using a table  Graph of y=2x+4 Graph of y=2x+4  Looking at the equation Digital Storytelling  Evaluation Evaluation

9.  Definition: A type of drawing used to represent data.

10.  Definition: A line with zero slope.  Example of a horizontal line

11.  Definition: The direction from top to bottom or upright.  Example of a vertical line.

12.  Definition: A geometric object that has no dimension and is used to indicate a location on a coordinate plane.

13.  Definition: A plane that is divided into four regions by a horizontal line called the x-axis and a vertical line called the y-axis.

14.  Definition: the horizontal line in a coordinate plane.  An example of a horizontal line. x -axis

15.  Definition: the vertical line in a coordinate plane.  An example of a horizontal line. y-axis

16.  Definition: Numbers used to determine the position of a point on a coordinate plane.

17.  Definition: the point (0,0) where x-axis and y-axis intersect.  An example of the origin.

18.  Definition: four regions into which a coordinate plane is divided by the x-axis and y-axis.

19.  Definition: the first number in an ordered pair.

20.  Definition: the second number in an ordered pair.

21.  Definition: A pair of numbers (x,y) that describes the location of a point on the coordinate plane.

22.  Definition: A mathematics statement that uses an equal sign to show two expressions are equal.

23.  Definition: An equation, in which the highest power of any variable is one.  Example: The general form of an linear equation is y=mx+b.(m is your slope, b is your y-intercept).  Linear equation is a straight line on the coordinate plane.

24.  Definition: A polynomial equation in which the highest power of the variable is 2. The general form is ax 2 +bx+c=0.

25.  A graph consist of an x-axis and y-axis.graphx-axisy-axis  This is an example of a graph. y- axis (vertical line) x-axis (horizontal line)

26.  A graph have 4 quadrants.quadrants II I III IV

27. Game on Identifying the Quadrants  http://www.softschools.com/math/geometr y/graph_quadrants/ http://www.softschools.com/math/geometr y/graph_quadrants/

28.  A ordered pair is a point.ordered pairpoint  An example of an ordered pair is (5,6).  (5,6) is a point.  5 is the x-coordinate.x-coordinate  6 is the y-coordinate.y-coordinate  When you plot (5,6) it look like this: II I III IV As you can tell point (5,6) is located in the first quadrants.

29. Game on Plotting Points  http://www.mathplayground.com/locate_ali ens.html http://www.mathplayground.com/locate_ali ens.html  http://mrnussbaum.com/stockshelves1/ http://mrnussbaum.com/stockshelves1/  http://www.oswego.org/ocsd- web/games/billybug2/bug2.html http://www.oswego.org/ocsd- web/games/billybug2/bug2.html

30.  Given an equation, use a table by making up the x-values.equation  For example, given the equation y=2x+4, Make up the x- values xy 0 1 2 Plug the x-values you made up into the equation xy 0y=2(0)+4 1y=2(1)+4 2y=2(2)+4 Once you solve for the y-values. xy 04 16 28

31.  By using the table that was given in the lesson from the slide on the previous page, use those x-values and y-values to make a graph.

32.  The general form for a linear equation is y=mx+b.linear equation  In the equation y=mx+b, b tells you where on the y-axis you start at while m tells you how many times to go up. (Whatever number is in the numerator, that how many times you go up or down. If the number in the numerator is positive go up, if the number in the numerator is negative you go down). The number in the denominator tells you whether to go left or right. (Whatever number is in the denominator, that is how many times you go left or right. If it is positive you go right, if the number is negative you go left). b= y-interceptm=slope

33. Using the same equation (as from previous slides) y=2x+4, I will graph the equation. 1 st step: Your equation is 2x+4, so because positive 4 is your y-intercept. Your first point would be (0,4). 2 nd step: Based upon your equation (y=2x+4). Your slope is two. Since the numerator is positive 2 you go up 2 units and the denominator is 1 so you go to the right 1 unit from (0,4), so your second point is (1,6) Last step: Draw a line through the points.

35.  Read each question and choose the best answer.

36.  Given the point (0,4), what quadrants is this point located in?  A. Quadrant IVQuadrant IV  B. Quadrant IIIQuadrant III  C. Quadrant IIQuadrant II  D. Quadrant IQuadrant I

39.  Given the point (-7,3), what quadrant is this point located in?  A. Quadrant IVQuadrant IV  B. Quadrant IIIQuadrant III  C. Quadrant IIQuadrant II  D. Quadrant IQuadrant I

42.  Given the point (5,-3), which graph have the point plotted correctly?

45.  Given the equation y=5x-2, which graph represents the equation?

48.  Given the equation y=4/5x+2, which graph represents the equation?

51.  You have mastered all of the objectives!