School Improvement in Maryland

Lesson Plan: Lesson plans were written by Maryland mathematics educators and could be used when teaching the concepts.

Goal 2 Geometry, Measurement, And Reasoning

Expectation 2.1 The student will represent and analyze two- and three-dimensional figures using tools and technology when appropriate.

Indicator 2.1.2 The student will identify and/or verify properties of geometric figures using the coordinate plane and concepts from algebra.

Lesson Content

Rectangles and Trapezoids in the Coordinate Plane

Objective

Students will be able to find the coordinates of the vertices of special quadrilaterals placed in the coordinate plane.

Approximate Time

One 45-minute lesson

Prerequisite Concepts Needed

Students should be able to plot ordered pairs. All quadrilaterals in this lesson will be drawn in the first quadrant and will be labeled in alphabetical sequence, counter-clockwise. (HSA labels figures in alphabetical sequence, clockwise).

Materials Needed

Lesson Structure

    Warm-Up/Opening Activity

    Plot and find the coordinates of the missing vertices of Rectangle ABCD.
     
    A (1, 7), B(     ), C (3, 10), D(     )
     
    The teacher should have plotted A and C on the overhead. After students have time to complete this activity, have a student explain how the vertices were determined.
     
    Answer: B (3, 7) and D (1, 10)

    Development of Ideas

    Key to the lesson: Today we will continue our study of finding the coordinates of missing vertices of quadrilaterals. We will find the missing vertices of rectangles and trapezoids.
     
    Worksheet: Finding Missing Vertices of Rectangles and Trapezoids

    Closure

    On a scale of 1 to 5 (5 meaning you could teach this to someone, 4 you feel like an expert but not quite ready to teach it. 3: you can do this with a little help. 2: you can get it started but still need lots of help and 1: you don't know what you are doing!) please rate your knowledge of plotting and finding coordinates of quadrilaterals. (Check for understanding).

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