Lesson | Loading...

Sign in to access protected content and invite other educators

Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.

Curriculum

IM K-5 Math
IM 6-8 Math
IM 9-12 Math

Professional Learning

Illustrative Mathematics® has operated as an independent 501(c)3 non-profit organization since 2013.

IM® 6-8 Math v.360, an IM v.360 curriculum, is ©2024 by Illustrative Mathematics®, and licensed under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).

IM 6-8 Math v.360, an IM v.360 curriculum, is a derivative of IM 6-8 Math.

IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics®, and is ©2017-2019 by Open Up Resources. It is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0) . OUR's 6-8 Math Curriculum is available at https://openupresources.org/math-curriculum/ .

Adaptations and updates to IM 6-8 Math v.360 are ©2024 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution-Noncommercial 4.0 International License (CC BY-NC 4.0).

Adaptations to add additional English language learner supports are ©2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The second set of English assessments (marked as set “B”) are ©2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0) .

Spanish translation of the “B” assessments are ©2020 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written permission of Illustrative Mathematics.

This site includes public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.

Navigation

6-8 Grade 6 Unit 7 Lesson 11

Gradeband

K-5 Math •6-8 Math 9-12 Math

Course

•Grade 6 Grade 7 Grade 8

Unit

Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 •Unit 7 Unit 8 Unit 9

Lesson

Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 •Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19

K-5
6-8
9-12

Grade 6
Grade 7
Grade 8

Accelerated 6
Accelerated 7

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
Unit 9

Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15
Lesson 16
Lesson 17
Lesson 18
Lesson 19

Settings

Language

Audience

family

Not all roles available for this page.

Assessment Access

Sign in to view assessments and invite other educators

Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.

English
Español

teacher
student
family

Lesson 11

11.1 Warm-up 11.2 Activity 11.3 Activity Student Lesson Summary Glossary

Unit 7, Lesson 11

Points in the Coordinate Plane

Grade 6

11.1

Warm-up

Guess My Line

Choose 1 set of points, and write the coordinates of each of the 3 points in the set. What do you notice about the coordinates?

A coordinate plane with the origin labeled “O”. The numbers 0 through 15 are indicated on the horizontal axis and the numbers 0 through 10 are indicated on the vertical axis.

Are You Ready for More?

11.2

Activity

The Coordinate Plane

Write the coordinates of each labeled point.

Coordinate plane, negative 7 to 7 by ones on the horizontal axis, negative 5 to 5 on the vertical axis. Point A is 3 units to the right and 4 units up from the origin. Point B is 7 units to the left and 2 units down from Point A. Point C is 1 unit to the left and 5 units down from Point B. Point D is 9 units to the right and 1 unit up from Point C.
Plot a point at . Label it .
Plot another point at . Label it .
The coordinate plane is divided into four quadrants: I, II, III, and IV, as shown here.
In which quadrant is point located? Point ? Point ?
If a point has a positive -coordinate, in which quadrants could it be?

Are You Ready for More?

11.3

Activity

Coordinated Archery

Here is an image of an archery target on a coordinate grid. The scores for landing an arrow in each of the regions are shown.

A: 10 points
B: 8 points
C: 6 points
D: 4 points
E: 2 points

Name the possible coordinates of where one arrow could land to earn each of the following scores:

6 points
10 points
2 points
no points
4 points
8 points

Are You Ready for More?

Student Lesson Summary

Just as the number line can be extended to the left to include negative numbers, the - and -axes can also be extended to include negative values. This creates the coordinate plane, a system that can be used to describe the locations of points.

Coordinate plane, x and y axis, origin O, points marked and labeled. A = (2 comma 3), B = (negative 4 comma 1), C = (negative 3 point 5 comma negative 3).

For example, point can be described by the ordered pair . The -value of -4 tells us that the point is 4 units to the left of the -axis. The -value of 1 tells us that the point is 1 unit above the -axis. Point is located in Quadrant II.

The same reasoning applies to the points and . The - and -coordinates for point are positive, so is to the right of the -axis and above the -axis. Point is located in Quadrant I.

The - and -coordinates for point are negative, so is to the left of the -axis and below the -axis. Point is located in Quadrant III.

Quadrant IV contains points whose -coordinates are positive and whose -coordinates are negative.

Glossary

coordinate plane

The coordinate plane is one way to represent pairs of numbers. The plane is made of a horizontal number line and a vertical number line that cross at 0.

Pairs of numbers can be used to describe the location of a point in the coordinate plane.

Point is located at . This means is 3 units to the right and 2 units down from .

<p>Point R on a coordinate plane. Horizontal and vertical axis scale negative 4 to 4 by 1’s. The point has coordinates R 3 comma negative 2.</p>

quadrant

The coordinate plane is divided into 4 sections called quadrants. The quadrants are numbered using Roman numerals, as shown.

A coordinate plane, origin O. The area top and right of the origin is Quadrant 1, and counter-clockwise labeled quadrant 2, 3, 4.

Have a correction or suggestion?

Tell us about a typo, a broken link, or an improvement you’d like to see. We read every submission but can’t reply.

Suggest a Change

Have a question or need support instead? Visit our Contact Us page to reach our team.