Eureka Math Parent Tips
Fifth Grade Module 6
Problem Solving with
the Coordinate Plane
This document is being produced for the purpose
of giving parents and students in Calcasieu
Parish a better understanding of the math
concepts being taught.
Louisiana Standards:
Students will develop a coordinate system for the
first quadrant of the coordinate plane and use it to
solve problems. They will use the familiar number
line as an introduction and construct two
perpendicular number lines to create a coordinate
system on the plane. They then use the coordinate
system to explore relationships between points,
ordered pairs, patterns, lines and, more abstractly,
the rules that generate them.
-Write simple expressions that record
calculations with numbers, and interpret
numerical expressions without evaluating them.
-Generate two numerical patterns using two given rules. Identify apparent relationships between
corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns,
and graph the ordered pairs on a coordinate plane.
-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.
-Represent real world and mathematical problems by graphing points in the first quadrant of the
coordinate plane, and interpret coordinate values of points in the context of the situation.
Words to Know:
• Axis
• Coordinate
Pair
• Coordinate
• Coordinate
Plane
Students begin by plotting on a basic
number line in relation to its origin.
Directions: Plot A so its distance from
the origin is 2.
• Ordered Pair • Quadrant
• Origin
Fifth Grade Module 6
Module 6, the final module of Grade 5, is a
very important link to the algebraic skills
students will need in later years. Students
begin by investigating patterns relating the xand y- coordinates of the points on the line
and reasoning about the patterns in the
ordered pairs, which lays groundwork for
Grade 6 work with proportional reasoning.
d.
Explain the pattern you used when
determining coordinate pairs for L and
M.
I shifted the x-coordinates three ½ units to
the right, but I kept the y-coordinates the
same. I did not shift up or down.
Fifth Grade Module 6
Plotting Coordinates
and Finding Patterns
Write a rule showing the relationship
between the x- and
y- coordinates of points on the line.
Each y- coordinate is 2 times greater
than its corresponding x-coordinate.
Name two other points on this line.
(2 ½ , 5) and (1 ¼ , 2 ½ )
How you can help at home…
Sample Items
Select 3 statements that correctly describe
the point plotted in the coordinate plane.
a) The point is located at the ordered pair (4,6).
b) The point is located at the ordered pair (6,4).
c) The x-coordinate is 6 and the y-coordinate is
4.
d) The x-coordinate is 4 and the y-coordinate is
6.
e) The point is 4 units to the right of the origin
on the x-axis and 6 units up from the origin on
the y-axis.
f) The point is 6 units to the right of the origin
on the x-axis and 4 units up from the origin on
the y-axis.
• Play the game Battleship, if you have it! It gives good practice with
locating points on a Coordinate plane.
• Practice following rules to find ordered pairs, e.g. if the rule is
y = double x plus 1, what is y if x is 3? 4? 5? (Answers are 7, 9, 11)