 # Constructing the Coordinate Plane and Points on the Plane

Videos to help Grade 6 students how to construct the coordinate plane and plot points on the coordinate plane.

New York State Common Core Math Grade 6, Module 3, Lesson 17

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Lesson 17 Student Outcomes
Students draw a coordinate plane on graph paper in two steps:
(1) Draw and order the horizontal and vertical axes;
(2) Mark the number scale on each axis.

Lesson 17 Summary

• The axes of the coordinate plane must be drawn using a straight edge and labeled x (horizontal axis) and y (vertical axis). • Before assigning a scale to the axes it is important to assess the range of values found in a set of points, as well as the number of grid lines available. This will allow you to determine if the number of units per grid line should be increased or decreased so that all points can be represented on the coordinate plane that you construct.

Given some points as ordered pairs, students make reasonable choices for scales on both axes, and locate and label the points on graph paper.

Opening Exercise

Draw all necessary components of the coordinate plane on the blank 20 x 20 grid provided below, placing the origin at the center of the grid and letting each grid line represent 1 unit.

Example 1: Drawing the Coordinate Plane using a 1:1 Scale

Locate and label the points (3, 2), (8, 4),(−2, -9 ), (−3, 8),(0, 6), (−1, −2 ),(10, −2) on the grid.

Example 2: Draw the Coordinate Plane Using an Increased Number of Scale for One Axis

Draw a coordinate plane on the grid below, then locate and label the following points:
{(-4, 20), (-3, 35), (1, -35), (6, 10), (9, -40)}

Example 4: Drawing a Coordinate Plane Using a Different Number Scale for Both Axes

Draw a coordinate plane on the grid below then locate and label the following points:
{(-14, 2), (-4, -0.5), (6, -3.5), (14, 2.5), (0, 3.5), (-8, -4)}

Determine a scale for the x-axis that will allow all x-coordinates to be shown on your grid. Determine a scale for the y-axis that will allow all y-coordinates to be shown on your grid.
Draw and label the coordinate plane then locate and label the set of points. Lesson 17 Scale and Coordinate Plane.

Lesson 17 Problem Set

1. Label the coordinate plane then locate and label the set of points below.
{(0.3, 0.9), (-0.1, 0.7), (-0.5, -0.1), (-0.9, 0.3), (0, -0.4)}

2. Label the coordinate plane then locate and label the set of points below.
{(90, 9), (-110, -11), (40, 4), (-60, -6), (-80, -8)}

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