This document contains notes from mathematics lessons on ordered pairs and the coordinate plane. It introduces ordered pairs, explaining that the first number represents the x-coordinate and second is the y-coordinate. It then covers the four quadrants of the coordinate plane created by the intersection of the x-axis and y-axis, including that Quadrant I is in the upper right and they are numbered counter-clockwise. Examples locate points in the quadrants using ordered pairs and identify patterns among the signs of x- and y-coordinates in each quadrant.

1. Module 3 Lessons 14 & 15.notebook
February 25, 2014
MODULE 3 Raonal Numbers
Topic C: Raonal Numbers & the Coordinate Plane
Lesson 14: Ordered Pairs
Lesson 15: Locang Ordered Pairs on the
Coordinate Plane
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2. Module 3 Lessons 14 & 15.notebook
February 25, 2014
Classwork
Example 1: The Order in Ordered Pairs
The first number of an ordered pair is called the _____________________________________.
The second number of an ordered pair is called the __________________________________.
Ordered pairs are like a set of direcons; they
indicate where to go in one direcon , and then
indicate where to go in the second direcon .
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3. Module 3 Lessons 14 & 15.notebook
February 25, 2014
For Exercises 1 and 2, the first coordinates
of the ordered pairs represent the
numbers on the line labeled x and the
second coordinates represent the
numbers on the line labeled y.
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4. Module 3 Lessons 14 & 15.notebook
February 25, 2014
2. List the ordered pair of numbers that corresponds with each leer from the grid below.
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5. Module 3 Lessons 14 & 15.notebook
February 25, 2014
Lesson Summary
§ The order of numbers in an ordered pair is important because the
ordered pair should describe one locaon in the coordinate plane.
§ The first number (called the first coordinate) describes a locaon using
the horizontal direcon.
§ The second number (called the second coordinate) describes a locaon
using the vercal direcon.
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6. Module 3 Lessons 14 & 15.notebook
February 25, 2014
Lesson 15
Example 2: Components of the Coordinate Plane
All points on the coordinate plane are described with reference to the origin.
What is the origin, and what are its coordinates?
To describe locaons of points in the coordinate plane we use
of numbers. Order is important, so on the coordinate plane we use the form
( ). The first coordinate represents the point’s locaon from zero
on the ‐axis, and the second coordinate represents the point’s locaon
from zero on the ‐axis.
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7. Module 3 Lessons 14 & 15.notebook
February 25, 2014
Example 3: Quadrants of the Coordinate Plane
§ The x‐ and y‐axes divide the coordinate plane
into regions called Quadrants. Why are the
regions called quadrants?
ú The axes cut the plane into four regions.
The prefix “quad” means four.
§ Which of the four regions did you work with
most in Grade 5, and why was it the only region
you used?
ú The region on the top right of the coordinate
plane. We only used this region because we
had not learned about negave numbers yet.
§ The four quadrants are numbered one through four using Roman Numerals.
The upper right quadrant is Quadrant I and the remaining quadrants are
numbered moving counter‐clockwise from Quadrant I; Quadrant II, Quadrant III,
and Quadrant IV. What was the first axis that we extended in Example 1 and
what did it reveal?
ú We extended the x‐axis to the le beyond zero and it revealed another
region of the coordinate plane.
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8. Module 3 Lessons 14 & 15.notebook
February 25, 2014
This top le region is called Quadrant II. Label
Quadrant II in your student materials. These
regions only make up half of the coordinate
plane. Where does the remaining half of the
coordinate plane come from? Explain.
§
ú We need to extend the y‐axis down below
zero to show its negave values. This reveals
two other regions on the plane; one to the le
of the x‐axis and one to the right of the y‐axis.
§ The quadrants of the coordinate plane are in
a counter‐clockwise direcon starng with
Quadrant I. Label the remaining quadrants in
your student materials.
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9. Module 3 Lessons 14 & 15.notebook
February 25, 2014
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10. Module 3 Lessons 14 & 15.notebook
February 25, 2014
Exercises
Locate and label each point described by the ordered pairs below. Indicate which of the
quadrants the points lie in.
y­axis
x­axis
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11. Module 3 Lessons 14 & 15.notebook
February 25, 2014
6. Do you see any similaries in the points within each quadrant? Explain
your reasoning.
The ordered pairs in.....
Quadrant I contain both posive values. (+x, +y)
Quadrant II the first value is negave but second coordinate is a
posive value. (‐x, +y)
Quadrant III contain both negave values. (‐x, ‐y)
Quadrant IV the first value is a posive, but the second coordinate is a
negave value. (+x, ‐y)
If a point lies on the x‐axis, the second coordinate (y‐coordinate) will
be zero.
If a point lies on the y‐axis, the first coordinate (x‐coordinate) will be
zero.
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12. Module 3 Lessons 14 & 15.notebook
February 25, 2014
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13. Module 3 Lessons 14 & 15.notebook
February 25, 2014
Lesson Summary
§
The x ‐axis and y‐axis of the coordinate plane are number lines that intersect at zero on each number line.
§
The axes create four quadrants in the coordinate plane.
§
Points in the coordinate plane lie either on an axis or in one of the four quadrants.
Please take out your exit tickets for Lesson 14 & 15 close
your binder, and complete the exit ticket. These will be
collected.
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