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Attributes of Shapes (Grade 5)

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Common Core For Grade 5

Videos, examples, solutions, and lessons to help Grade 5 students 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.

Classify two-dimensional figures in a hierarchy based on properties.

Common Core: 5.G.3 and 5.G.4

Suggested Learning Targets

  • I can classify two-dimensional figures by their attributes
  • I can explain two-dimensional attributes can belong to several two-dimensional figures.
  • I can identify subcategories using two-dimensional attributes.
  • I can group shapes that share a single property, and then among these shapes group those that share a second property, etc.

Component Skills from Previous Grades

Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.

Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.

The following figures give the the types and hierarchy of quadrilaterals. (In this diagram, a trapezoid is defined to be a quadrilateral that has exactly 2 parallel sides. If a trapezoid is defined as a quadrilateral with at least 2 parallel sides then it will belong to the parallelogram category). Scroll down the page for more examples and solutions.

Types and Hierarchy of Quadrilaterals

Quadrilaterals - 5.G.3
In this video, students will learn about the relationships between different quadrilaterals. This video relates to Common Core Standard 5.G.3. Students learn specifically the attributes and overlapping subcategories of quadrilaterals. Classifying Quadrilaterals Know Your Quadrilaterals
A song to help you learn about quadrilaterals. How to Classify Quadrilaterals? Classifying Quadrilaterals
We classify quadrilaterals - Parallelograms, Rectangles, Squares, Rhombuses and Trapezoids.

Quadrilateral Types
Exercise Quadrilateral Properties Activities:

Which shape is described by the clues below?
The shape has no right angles.
All of the sides are congruent.
The total of its angles is less than 360˚

Use what you know about the attributes of a rectangle to explain why a square is a rectangle

A parallelogram can be a rectangle. Use what you know about parallelogram and rectangle attributes to explain when this is true.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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