Shapes and Volume

Lesson 11

Math

Unit 3

5th Grade

Lesson 11 of 16

Objective


Classify shapes as polygons versus non-polygons and classify polygons according to their number of sides.

Common Core Standards


Core Standards

  • 5.G.B.3 — Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.
  • 5.G.B.4 — Classify two-dimensional figures in a hierarchy based on properties.

Foundational Standards

  • 4.G.A.2

Criteria for Success


  1. Understand that a polygon is a closed, flat shape with straight sides. 
  2. Sort figures into polygons and non-polygons.
  3. Understand that a triangle is a three-sided polygon, a quadrilateral is a four-sided polygon, a pentagon is a five-sided polygon, a hexagon is a six-sided polygon, and an octagon is an eight-sided polygon. 
  4. Classify polygons into a hierarchy based on properties (MP.7).

Tips for Teachers


Aside from the term "hierarchy", students are familiar with all of the vocabulary terms used in Lessons 11-16 from previous grade levels. 

Lesson Materials

  • Polygons Template (1 per student or small group) — This material should be cut into pieces before the lesson.
  • Ruler — This can be any tool used to draw a straight line, e.g., a straightedge, a ruler, etc.
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Anchor Tasks


Problem 1

A student sorted a set of shapes into the following 2 categories:

How were the shapes sorted?

Guiding Questions

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References

101Questions Investigating Quadrilaterals

Investigating Quadrilaterals by Jenise Sexton is made available on 101Questions under the CC BY 3.0 license. Accessed Feb. 5, 2018, 12:05 p.m..

Modified by Fishtank Learning, Inc.

Problem 2

Sort the polygons from Anchor Task #1 (cut out from Polygons Template) however you’d like. You can create as many groups as you’d like.

Guiding Questions

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References

Achievement First Grade 5, Unit 8, Unit Plan (2016-2017)Diagram

Grade 5, Unit 8, Unit Plan (2016-2017) 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 Feb. 6, 2018, 12:55 p.m..

Modified by Fishtank Learning, Inc.

Problem 3

a.   Draw a polygon that is a triangle. Explain or show how you know it is a polygon and a triangle.

b.   Draw a polygon that is not a triangle. Explain or show how you know it is a polygon but not a triangle. 

c.   Jamshid says that it is impossible to draw a triangle that is not a polygon. Do you agree with him? Explain or show your reasoning.

Guiding Questions

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Problem Set


Answer Keys

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Discussion of Problem Set

  • Look at #2. What other word did you use to describe this figure? Why? 
  • Look at #7. Who is correct, Edwin or his sister? How do you know? 
  • What attributes do triangles and quadrilaterals have in common? What attributes do they not have in common? 

Target Task


Problem 1

Arya draws a figure that is a polygon. Which of the following is true about the figure? There are three correct answers.

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Problem 2

When is a polygon also a quadrilateral?

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.

Extra Practice Problems

Answer Keys

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Word Problems and Fluency Activities

Word Problems and Fluency Activities

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Lesson 10

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Lesson 12

Lesson Map

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Topic A: Volume of Three-Dimensional Figures

Topic B: Classification of Two-Dimensional Shapes

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