Curriculum  /  Math  /  5th Grade  /  Unit 7: Patterns and the Coordinate Plane  /  Lesson 1

Patterns and the Coordinate Plane

Lesson 1

Math

Unit 7

5th Grade

Lesson 1 of 14

Objective

Define a coordinate plane and identify the coordinates of given points.

Common Core Standards

Core Standards

  • 5.G.A.1 — 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 (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

Foundational Standards

  • 2.MD.B.6

Criteria for Success

  1. Understand the need for a system in which a point’s location can be described in two dimensions. 
  2. Understand that the coordinate plane is a plane in which a point is represented using two coordinates that determine the precise location of that point (MP.6).
  3. Understand that a coordinate plane is defined by two perpendicular lines, called the x-axis and the y-axis, that intersect at the origin, which coincides with the zero on each number line. 
  4. Understand that the location of a point in the coordinate plane is defined by its x-coordinate and its y-coordinate, which correspond with how far a point is in the direction of the x-axis and y-axis, respectively. 
  5. Given a point on a coordinate plane with intervals of 1 unit, determine its location, and write it as a coordinate pair, which is a type of ordered pair. 

Tips for Teachers

  • Even when lessons do not call for it, students may benefit from using grid paper to aid in their precision (MP.6), though they may not need it. Make it available for students to use but without explicitly requiring the use of the tool, allowing them to use appropriate tools strategically (MP.5).
  • An ordered pair is a pair of two things written in a certain order. A coordinate pair is a type of ordered pair that consists of two coordinates written in a certain order, x then y. This distinction is not important for Grade 5 students and thus the terms are used interchangeably throughout the unit. 

Lesson Materials

  • Markers or crayons (3 per student) — Need red, yellow, and blue for the Target Task
  • Template: What’s the Point (1 per pair of students) — This material should be cut into pieces before the lesson.
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Anchor Tasks

25-30 minutes

Problem 1

Mr. Ingall, Mrs. Ingall’s husband, spotted a fly on the wall in their house. He wanted to catch it and let it free outside, but he hates bugs. How should he describe to Mrs. Ingall where the fly is on the wall so that she can catch it?

Guiding Questions

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Student Response

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Problem 2

a.   Play a round of Guess Which One.

  • Sit next to your partner. 
  • Partner A: Mentally choose a card (cut out from Template: What’s the Point) without indicating which card you chose. Then, describe the location of the point to your partner.
  • Partner B: When you have enough information to determine which card your partner chose, guess which one it was. 

b.   Switch roles and play another round of Guess Which One.

c.   Use words to describe the location of the point on the grid below.

Guiding Questions

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Student Response

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References

Illustrative Mathematics IM Grade 5 Unit 7 Lesson 1 Activity 2

IM Grade 5 Unit 7 Lesson 1 Activity 2, accessed on Aug. 31, 2023, 10:13 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.

Modified by Fishtank Learning, Inc.
Illustrative Mathematics IM Grade 5 Unit 7 Lesson 2 Activity 1

IM Grade 5 Unit 7 Lesson 2 Activity 1, accessed on Aug. 31, 2023, 10:14 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.

Modified by Fishtank Learning, Inc.

Problem 3

Determine the location of the shapes on the following coordinate plane and write them as an ordered pair:

a.   Checkmark: __________

b.   Square: __________

c.   Star: __________

d.   Triangle: __________

e.   Circle: __________

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 5 Mathematics > Module 6 > Topic A > Lesson 2 — Concept Development

Grade 5 Mathematics > Module 6 > Topic A > Lesson 2 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by Fishtank Learning, Inc.

Problem Set

15-20 minutes

Discussion of Problem Set

  • I think that point L has coordinates (1, 3)  in #1. What mistake did I make? 
  • Share your thinking about #4. What did we learn today that could help the pirate locate his treasure more easily?
  • What new math vocabulary did we learn today? 
  • Why is a vertical line at the origin the best place for the y-axis?
  • Why would it be important for us to all follow the same order when we write down the x-axis and y-coordinates? 

Target Task

5-10 minutes

Problem 1

Select the two statements that correctly describe the point plotted on the coordinate plane. 

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Student Response

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Problem 2

On the coordinate plane above, highlight each of the following features with a marker or colored pencil:

  1. Highlight the origin in red. 
  2. Highlight the x-axis in yellow. 
  3. Highlight the y-axis in blue.

Student Response

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Additional Practice

The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Word Problems and Fluency Activities

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

Next

Construct a coordinate plane and plot points given their coordinates.

Lesson 2
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Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Introduction to the Coordinate Plane

Topic B: Drawing Figures and Shapes in the Coordinate Plane

Topic C: Real-World Problems and Patterns on the Coordinate Plane

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