Curriculum  /  Math  /  5th Grade  /  Unit 7: Patterns and the Coordinate Plane  /  Lesson 4

Patterns and the Coordinate Plane

Lesson 4

Math

Unit 7

5th Grade

Lesson 4 of 14

Objective

Determine the interval needed to plot various points and practice plotting and identifying points on coordinate grids with various axes.

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
  • 3.NF.A.2

Criteria for Success

  1. Decide on a scale for a coordinate plane given a set of points that must be on the graph. 
  2. Plot points whose x- and/or y-coordinate is/are not a multiple of the scale of the corresponding axis (i.e., the point will not be located on intersecting gridlines) (MP.6).

Tips for Teachers

Similar to Lesson 3, attention to precision continues to be of great importance in Lesson 4, especially as students encounter points that are not on intersecting gridlines (MP.6).

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Anchor Tasks

25-30 minutes

Problem 1

Geraldo is plotting points on the following coordinate plane.

a.   Geraldo needs to plot the following four points:

  • (0.8, 12)
  • (1.6, 18)
  • (1, 30)
  • (2, 3)

Can he plot all of his points on the provided coordinate plane? How do you know?

b.   What would be a point that he couldn't fit on the coordinate plane above? How do you know?

Guiding Questions

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Student Response

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Problem 2

Determine the correct scale for the coordinate grid below so that all of the following points can be shown on it. Then plot the points.

  • (12, 4)
  • (4, $${1\over2}$$)
  • (6, $$3{1\over2}$$)
  • (12, $$2{1\over2}$$)
  • (17, 4)
  • (16, $$4{1\over4}$$)

Guiding Questions

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Student Response

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Problem Set

15-20 minutes

Discussion of Problem Set

  • What scale did you choose for the x-axis in #1? The y-axis? 
  • Where did you plot the point (0, $$3\frac{1}{4}$$) in #1? What was more difficult about plotting this point compared to the others?
  • What scale did you choose for the x-axis in #2? The y-axis?  
  • Where did you plot the point (0.25, 7) in #2? What was more difficult about plotting this point compared to the others? 
  • Explain your thought process as you decided how to label the whole numbers along the x- and y-axes in #3.
  • Share your answer to #4(j) with your neighbor.

Target Task

5-10 minutes

Use the grid below to construct a coordinate grid on which you can plot the following points. Then plot and label the points.

Point Coordinates
A (0, 12)
B ($$\frac{1}{2}$$, 3)
C (4, 0)

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

Plot horizontal and vertical lines on a coordinate plane and find patterns in their coordinates.

Lesson 5
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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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