Distances on a Coordinate Plane

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

6

Overview

In this video lesson, students explore ways to find vertical and horizontal distances in the coordinate plane. In the first activity, students use repeated reasoning to explore the relationship between points with opposite coordinates. In the second activity, students develop strategies for finding the distance between two points where the coordinates might not be integers. Students can use previous strategies, such as considering the distance of a point from zero or counting squares.

Mathematics (2019) Grade(s): 6

MA19.6.11

Find the position of pairs of integers and other rational numbers on the coordinate plane.

UP:MA19.6.11

Vocabulary

  • Coordinate plane
  • Quadrants
  • Coordinate values
  • ordered pairs
  • x axis
  • y axis
  • Reflection

Knowledge

Students know:
  • Strategies for creating coordinate graphs.
  • Strategies for finding vertical and horizontal distance on coordinate graphs.

Skills

Students are able to:
  • Graph points corresponding to ordered pairs,
  • Represent real-world and mathematical problems on a coordinate plane.
  • Interpret coordinate values of points in the context of real-world/mathematical situations.
  • Determine lengths of line segments on a coordinate plane when the line segment joins points with the same first coordinate (vertical distance) or the same second coordinate (horizontal distance).

Understanding

Students understand that:
  • A graph can be used to illustrate mathematical situations and relationships. These representations help in conceptualizing ideas and in solving problems,
  • Distances on lines parallel to the axes on a coordinate plane are the same as the related distance on the axis (number line).

CR Resource Type

Audio/Video

Resource Provider

PBS

License Type

PD
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