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The Coordinate Plane and Coordinate Geometry

Unit Plan

The Coordinate Plane and Coordinate Geometry

Objectives

In this unit, students will use the coordinate plane and ordered pairs to solve problems. Students will:

  • use and understand proper terminology regarding the coordinate plane.
  • locate points on the coordinate plane using ordered pairs.
  • solve real-world and mathematical problems in the coordinate plane.
  • learn about two-dimensional figures and their classifications by graphing them in the coordinate plane.

Essential Questions

  • How are spatial relationships, including shape and dimension, used to draw, construct, model, and represent real situations or solve problems?
  • How can geometric properties and theorems be used to describe, model, and analyze situations?
  • How can the application of the attributes of geometric shapes support mathematical reasoning and problem solving?

Related Unit and Lesson Plans

Related Materials & Resources

The possible inclusion of commercial websites below is not an implied endorsement of their products, which are not free, and are not required for this lesson plan.

Formative Assessment

  • View

    Multiple Choice Items:

    1.   Which word describes the point plotted on the graph?

    A

    coordinate plane

    B

    origin

    C

    x-axis

    D

    y-axis

     

    2.   Which term describes (3, 4), the description of where a point is located in the coordinate plane?

    A

    ordered pair

    B

    polygon

    C

    x-coordinate

    D

    y-coordinate

     

     

    3.   A point has a y-coordinate of 5 and an x-coordinate that is 3 more than the y-coordinate. What are the coordinates of the point?

    A

    (3, 5)

    B

    (5, 3)

    C

    (5, 8)

    D

    (8, 5)

    Use the map below to answer questions 4–6.

    4.   What are the coordinates of the park on the map?

    A

    (3, 5)

    B

    (6, 11)

    C

    (7, 11)

    D

    (8, 3)

     

    5.   Craig plots the location of his house on the map. To get to his house from the school, he has to go up 3 units and to the right 2 units. What is the location of Craig’s house?

    A

    (6, 10)

    B

    (8, 3)

    C

    (10, 6)

    D

    (11, 5)

     

    6.   Donna’s house has the same x-coordinate as the School and the same y-coordinate as the Bank. What is the location of Donna’s house?

    A

    (3, 3)

    B

    (3, 5)

    C

    (5, 3)

    D

    (8, 5)

    Use the coordinate plane below to answer questions 7 and 8.

    7.   Which of the following terms does not describe Shape A?

    A

    Hexagon

    B

    Polygon

    C

    Quadrilateral

    D

    Rectangle

     

    8.   Which of the following terms describes Shape B?

    A

    Hexagon

    B

    Octagon

    C

    Parallelogram

    D

    Quadrilateral

     

    9.   Keisha drew a rectangle on a coordinate grid and found that all but one of the following terms describe her rectangle. Which of the following might not describe the rectangle Keisha drew?

    A

    Parallelogram

    B

    Polygon

    C

    Quadrilateral

    D

    Square

     

    Multiple Choice Answer Key:

    1. B

    2. A

    3. D

    4. B

    5. C

    6. D

    7. A

    8. B

    9. D

     

     

     

     

    Short Answer Items:

    10. On the coordinate plane below, plot the following points, connecting each one to the previous. Connect the last point to the first point to make a closed figure.

     

    • Origin
    • (9, 7)
    • (7, 9)
    • (2, 10)
    • A point on the y-axis at 5

     

     

     

     

     

     

     

     

     

     

     

     

     

     

    11. Create a map containing the following locations, each represented by a point. Label each point with the name of the location.

    • The Park is located at (6, 12).
    • The Airport is located 5 units below the Park and 3 units to the right of the Park.
    • The Theater is located 2 units from the Park in one direction (up, down, left, or right).
    • The School is located 2 units from the Park in the opposite direction of the Theater.

     

     

     

    12. On the coordinate plane below, plot two figures and label them as described:

    • Figure A: A quadrilateral that is a not a parallelogram.
    • Figure B: A polygon with more sides than an octagon.

     

     

    Short-Answer Key and Scoring Rubrics:

    1. On the coordinate plane below, plot the following points, connecting each one to the previous. Connect the last point to the first point to make a closed figure.
    • Origin
    • (9, 7)
    • (7, 9)
    • (2, 10)
    • A point at the y-axis at 5

     

    Points

    Description

    2

    The student plots 5 of 5 points correctly.

    1

    The student plots 3 or 4 of 5 points correctly.

    0

    The student plots fewer than 3 points correctly.

     

     

     

     

     

     

     

     

    1. Create a map containing the following locations, each represented by a point. Label each point with the name of the location.

    • The Park is located at (6, 12).
    • The Airport is located 5 units below the Park and 3 units to the right of the Park.
    • The Theater is located 2 units from the Park in one direction (up, down, left, or right).
    • The School is located 2 units from the Park in the opposite direction of the Theater.

    Points

    Description

    2

    The student plots and labels 4 of 4 points correctly.

    1

    The student plots and labels 2 or 3 of 4 points correctly.

    0

    The student plots and labels fewer than 2 points correctly.

     


     

     

     

     

     

     

     

    1. On the coordinate plane below, plot two figures and label them as described:
    • Figure A: A quadrilateral that is a not a parallelogram.
    • Figure B: A polygon with more sides than an octagon.

     

    Sample answer:

    Points

    Description

    2

    The student plots and labels both figures correctly.

    1

    The student plots and labels one of the figures correctly.

    0

    The student does not plot or label either figure correctly.

     

     

     

    Performance Assessment:

    Each student should design a picture of a house (probably viewed directly from the front). The house should have a door, windows, a roof, and may contain other elements (a chimney, a porch, etc.) The house should incorporate at least four different polygons, with at least one of them being a nonquadrilateral (i.e., a hexagonal window). The house need not be realistic; students should be encouraged to be creative.

    Students should describe their house using proper mathematical terminology.

    Students should include directions for recreating their drawing, using ordered pairs and other descriptors (i.e., “Make a rectangle that has corners at (2, 3) and (6, 8).”)

    Students should present their drawing to a small group. After all members of the group have presented their drawings, they should exchange instructions and recreate the house designs, with each student comparing his/her drawing to the original.

     

    Performance Assessment Scoring Rubric:

     

    Points

    Description

    4

    • The house design incorporates four polygons with at least one being a non-quadrilateral.
    • The student describes the polygons that comprise his/her house with the correct mathematical terminology.
    • The student creates an accurate set of instructions for recreating his/her house design.
    • The student accurately follows the instructions provided by a fellow group member. (This may not result in an accurate picture, if the instructions were not created accurately.)

    3

    • The student performs 3 of the 4 tasks described above.

    2

    • The student performs 2 of the 4 tasks described above.

    1

    • The student performs 1 of the 4 tasks described above.

    0

    • The student does not perform any of the tasks described above.
Final 05/03/2013
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