Where Are You?
Mapping Out Joyce Kilmer Memorial Forest

Topic: Representing Order of Pairs

NCSCS: Sixth Grade
Mathematics Objectives: 3.05 Use graphs and tables to represent ordered pairs; describe the relationship; recognize both linear and nonlinear relationships.

Interdisciplinary Connection:
Social Studies/Technology

Differentiation/Accommodation/Student Voice/Choice:
Whole class activity-students sit in assigned seats. In a whole class activity, seating arrangement plays an important role in class discipline. Seating arrangement is prepared in advance with the objective of keeping all learners on task during activity. Students receive their seating assignment the day before activity.

Materials:

Procedures:

  • The teacher will demonstrate how to setup graph paper in order to plot coordinates on the plane.
    • The coordinate plane can be used to represent ordered pairs. The coordinate plane has a horizontal axis called the x-axis. Students will count down 24 square 0.5 boxes on their graph paper and draw a line across (west to east), this will be labeled as the x-axis. Student will count over 17 square 0.5 boxes on their graph paper and draw a line (north to south), this will be labeled as the y-axis. The point where the two axes intersect is called the origin This point will labeled zero (0).
    • The lines right of origin zero will be labeled (1, 2, 3, 4, 5, 6, 7, ...).
    • The lines left of origin zero will be labeled (-1, -2, -3, -4, -5, -6, -7, ...).
    • The lines above origin zero will be labeled (1, 2, 3, 4, 5, 6, 7, ...).
    • The lines below origin zero will be labeled (-1, -2, -3, -4, -5, -6, -7, ...).
  • The teacher will explain to the students how points on a coordinate plane are named by ordered pairs of the form (x,y). For example (5, -5), the x-axis is 5 and the y-axis is -5.
  • The teacher will demonstrate how to plot points on the plane using an overhead transparency.
  • The teacher will ask students to plot these points.
    • (6,10)
    • (-4,14)
    • (0, -5)
    • (-6, -9)
    • (-10, 0)
  • The teacher will then plot these points on an overhead transparency and students will check their work.
  • The teacher will now place a transparency on the overhead that has points already plotted. She will ask the students to give the coordinates for each point. Students will write the coordinates for each point on paper ( Points A, B, C, D, E, F).
  • The teacher will use a data projector and a computer to show how locations on maps can be plotted and how to find a location by looking at the coordinates on the map. The teacher will display different maps of the Joyce Kilmer area and the Smoky Mountains. Students will look at a globe and the teacher will explain how places can be located by using longitude and latitude lines on the globe.
  • The teacher will demonstrate to the class linear an nonlinear relationships between points.
    • When ordered pairs are plotted on a coordinate plane, you can see whether there is a linear or nonlinear relationship between x and y. The relationship is linear, you can connect the points to form a straight line. The points from a nonlinear relationship cannot be connected to form a straight line.
  • The teacher will ask the students to plot these ordered pairs to see if they represent a linear or nonlinear relationship.
    • (-8, -6), (-5, -3), (-2, 0), (1, 3), (4, 6), (7, 9)
    • These ordered pairs represent a linear relationship between x and y.
  • The teacher will ask the students to plot these ordered pairs to see if they represent a linear or nonlinear relationship.
    • (-3, 6), (-2, 1), (-1, -2), (0, -3), (1, -2), (2, 1), (3, 6)
    • These ordered pairs represent a nonlinear relationship between x and y.
  • The teacher will give to the class ordered pairs to be plotted. These pairs will represent a location in Joyce Kilmer Memorial Forest. Students will plot and label each point.
    • (7, 15) Santeetlah Lake
    • (14, 13) Maple Springs Observation Point
    • (11, 9) Horse Cove Campground
    • (6, 3) Rattler Ford Group Camp
    • (-3, 2) Naked Ground Trail
    • (-5, -1) Little Santeetlah Creek Bridge # 2
    • (1, -2) Parking Area for Joyce Kilmer
    • (16, -6) Robbinsville
    • (2, -7) Little Santeetlah Bridge # 1
    • (-7, -10) Joyce Kilmer Memorial Plaque
    • (-13, -16) Poplar Cove
  • The students will then be asked to answer the question if the points on the plane represent a linear or nonlinear relationship. Students will write their answers at the bottom of their papers.

Assessment:

  • Students' graph sheets-3 per student

Timeframe for Lesson:

  • Two 50 minutes class periods

Return to Unit Plan
Return to Home
Page Author: Bobbie Burchfield
10/13/02