Shapes and Volume

Lesson 14

Math

Unit 3

5th Grade

Lesson 14 of 16

Objective


Classify parallelograms based on the presence or absence of right angles or based on the presence or absence of sides of equal length. Define rectangles as parallelograms with four right angles and rhombuses as parallelograms with four equal 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 rectangle is a parallelogram with four right angles. 
  2. Understand that a rhombus is a parallelogram with four sides of equal length. 
  3. Sort parallelograms based on the presence or absence of right angles.
  4. Sort parallelograms based on the presence or absence of sides of equal length. 
  5. Classify rectangles and rhombuses into a hierarchy based on properties (MP.7).
  6. Use and understand the notation to denote right angles.
  7. Use and understand the notation to denote sides of equal length. 

Tips for Teachers


Lesson Materials

  • Parallelograms Template (1 per student or small group) — This material should be cut into pieces before the lesson.
  • Right-angle tool (1 per student) — This can be any tool used to verify right angle measures, e.g., a protractor, the corner of a piece of paper, etc.
  • Ruler (1 per student) — This can be any tool used to verify equal lengths, e.g., the edge of a piece of paper, etc.
  • Quadrilateral Venn diagram — These are from Lessons 12 & 13.
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Anchor Tasks


Problem 1

a.   Sort the shapes (cut out from Parallelograms Template) into as many categories as you’d like. Then explain how you sorted them.

b.   Sort the shapes (cut out from Parallelograms Template) in another way. Then explain how you sorted them.

Guiding Questions

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Problem 2

Add to the Venn diagram from Lesson 12 so that it represents all of the categories of quadrilaterals we’ve encountered so far.

Guiding Questions

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References

Institute for Mathematics and Education Photo: Progressions for the Common Core State Standards in Mathematics (Geometry, K-6)5.G.4 (p. 18)

Progressions for the Common Core State Standards in Mathematics (Geometry, K-6), by the Common Core Standards Writing Team is made available by Institute for Mathematics and Education, University of Arizona. © 2007 The Arizona Board of Regents. All contents copyrighted. All rights reserved. Accessed May 17, 2018, 4:49 p.m.. For updates and more information about the Progressions, see http://ime.math.arizona.edu/progressions.

Modified by Fishtank Learning, Inc.

Problem Set


Answer Keys

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Discussion of Problem Set

  • What attributes do all rhombuses share? What attributes do rhombuses have that parallelograms do not? What attributes do all rectangles share? Is this true for all quadrilaterals? Rhombuses? Rectangles?
  • When can a quadrilateral also be called a rhombus? When can a quadrilateral also be called a rectangle?

Target Task


Problem 1

For each statement below, circle whether it is always true, sometimes true, or never true.

a.   A parallelogram is a rhombus.                 Always     Sometimes     Never

b.   A rhombus is a parallelogram.                 Always     Sometimes     Never

Student Response

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Problem 2

Which of the following describes the shape below? There are three correct answers.

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Problem 3

What would have to be true of the shape in #2 in order for it to belong in all four shape categories (A, B, C, and D)?

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 13

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Lesson 15

Lesson Map

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Topic A: Volume of Three-Dimensional Figures

Topic B: Classification of Two-Dimensional Shapes

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