Curriculum  /  Math  /  5th Grade  /  Unit 7: Patterns and the Coordinate Plane  /  Lesson 2

Patterns and the Coordinate Plane

Lesson 2

Math

Unit 7

5th Grade

Lesson 2 of 14

Objective

Construct a coordinate plane and plot points given their coordinates.

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. Construct a coordinate plane on graph paper.
  2. Given the coordinates of a point, plot it on a coordinate plane with intervals of 1 unit. 
  3. Understand that there are two different ways of interpreting a point, e.g., (2, 3): (1) as instructions (right 2, up 3) and (2) as the point defined by being a distance 2 from the y-axis and a distance 3 from the x-axis. 
  4. Given instructions from another point on a coordinate plane, plot a point on a coordinate plane with intervals of 1 unit.

Tips for Teachers

  • Here is a neat Desmos activity you can use to supplement today's lesson. 

Lesson Materials

  • Graph Paper (1 per student)
  • Optional: Quarter inch graph paper (1 per student) — This is optional in case you don't have graph paper.
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Anchor Tasks

25-30 minutes

Problem 1

Construct a coordinate plane on grid paper. 

Guiding Questions

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Student Response

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Problem 2

a.   Plot a point on the coordinate grid below at (2, 6).

b.   Alex says that the ordered pair (2, 6) is 2 units from the x-axis and 6 units from the y-axis. Do you agree or disagree?

Guiding Questions

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Student Response

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References

Achievement First Grade 5, Unit 9, Lesson 2 (2017-2018) — "Think About It!"

Grade 5, Unit 9, Lesson 2 (2017-2018) is made available by Achievement First as a part of their Open Source web portal under a CC BY 4.0 license. Copyright © 1999-2017 Achievement First. Accessed May 25, 2018, 3:09 p.m..

Modified by Fishtank Learning, Inc.

Problem 3

a.   Plot the following points on the coordinate grid below:

  • Point A: (3, 8)
  • Point B: (7, 2)
  • Point C: (6, 0)
  • Point D: (0, 4)
  • Point E: 3 units to the left and 4 units up from point B
  • Point F: 5 units to the right and 2 units down from point D

b.   What are the coordinates of point E? Of point F?

Guiding Questions

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Student Response

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Problem Set

15-20 minutes

Discussion of Problem Set

  • Look at #2(b). Which shape is 2 units from the y-axis? Does this correspond with the x-coordinate or the y-coordinate? 
  • If point A lies at a distance of 3 units from the x-axis, which coordinate do you know?
  • Where did Amy stop in #5? If someone chose point A, what error might they have made? What about point C? Point D?
  • Graph paper is sometimes used when working on the coordinate plane. How is graph paper helpful in working on the coordinate plane?

Target Task

5-10 minutes

Coordinates for points are shown in the table.

Point Coordinate
W (2, 3)
X (4, 0)
Y (5, 2)
Z (0, 1)

Graph all the points from the table in the coordinate grid. Label them with their corresponding letters.

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 with non-unit intervals and use it to plot and identify points.

Lesson 3
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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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