Dana teaches social sciences at the college level and English and psychology at the high school level. She has master's degrees in applied, clinical and community psychology.
Upon completion of this lesson, students will be able to:
- define coordinate geometry
- demonstrate understanding of the principles and concepts of coordinate geometry
- use appropriate formulas to solve coordinate geometry equations
30 minutes to 1 hour
- Graph paper
Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
- Point of origin
- Begin by passing out the graph paper, one sheet per student.
- Now ask the students to read the What is Coordinate Geometry? section of the Study.com text lesson Coordinate Geometry: Definition & Formulas.
- Using the information provided in the lesson, have students graph the x-axis, the y-axis, and the point of origin on their graph paper.
- Have the students read the Calculating Length, Slope and Midpoint section of the text lesson. Ask them to write down the formulas introduced in the lesson and complete the exercises within the lesson on their graph paper as they read, self-checking their answers with the answers provided in the lesson.
- When all students have finished reading and completing the practice exercises. Ask them if they had any issues? Clarify essential concepts, if needed.
- List ten problems on the board for students to solve using the information gleaned in the text lesson, their graph paper, and the formulas they have written down.
- Ask students to create a visual demonstration of the concepts of slope and midpoint using found objects in the classroom.