Curriculum  /  Math  /  5th Grade  /  Unit 7: Patterns and the Coordinate Plane  /  Lesson 8

Patterns and the Coordinate Plane

Lesson 8

Math

Unit 7

5th Grade

Lesson 8 of 14

Objective

Draw shapes on a coordinate plane.

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).
  • 5.G.A.2 — Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

Foundational Standards

  • 5.G.B.4

Criteria for Success

  1. Given a set of points, plot them in the coordinate grid and identify and explain what shape they form when connected (MP.3). 
  2. Construct a specific shape on the coordinate grid given some or none of its points.

Tips for Teachers

In addition to or in place of the Problem Set, you could have students play a modified version of Battleship. Instead of students’ targets being a straight line of points, make the targets various shapes (e.g., a rectangle, a trapezoid, a right triangle, etc.). Provide students with images of the shapes they need to plot so that they know exactly the dimensions of each to avoid confusion.

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Anchor Tasks

25-30 minutes

Problem 1

a.   Using the coordinate grid below:

  • Plot a point A at (1, 1).
  • Plot a point B at (6, 1).
  • Plot a point C at (6, 4).
  • Plot a point D at (3, 4).
  • Connect the points in order, then connect point D back to point A. 

b.   Name all the ways you can classify the shape you formed in Part (a).

Guiding Questions

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Student Response

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References

Achievement First Grade 5, Unit 9, Lesson 4 (2017-2018) — Independent Practice, Bachelor Level #1

Grade 5, Unit 9, Lesson 4 (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, 2:04 p.m..

Modified by Fishtank Learning, Inc.

Problem 2

Alonso wants to create a triangle on the coordinate grid below. Two of the vertices are located at point F (2, 3) and point G (7, 3).

a.   If Alonso wants to make a right triangle, what could be the ordered pair of the third vertex?

b.   Alonso decides to use his original two points to form a square instead.  Where should he place the other two points, and why?

Guiding Questions

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Student Response

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References

Achievement First Grade 5, Unit 9, Lesson 4 (2017-2018) — "Think About It!"

Grade 5, Unit 9, Lesson 4 (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, 2:04 p.m..

Modified by Fishtank Learning, Inc.

Problem Set

15-20 minutes

Discussion of Problem Set

  • What other words can you use to describe the shape in #2? How can the shape be classified as all of those words simultaneously? What about the shape in #3(a)? 
  • How did you create the shape in #3(b)? 
  • How did you decide where to plot the third vertex to create an obtuse triangle in #4? How did you determine which point would create an acute triangle in #5? 
  • How did you solve #9? What made this task more difficult than the previous ones? 

Target Task

5-10 minutes

Use the coordinate grid below to answer Parts (a) and (b). 

a.   Plot two points, R and S, on the coordinate grid so that the four points, P, Q, R, and S, form a square.

b.   Write the ordered pairs of points R and S below. 

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

Draw symmetric figures on a coordinate plane.

Lesson 9
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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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