MAFS.5.G.2.3:  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.

MAFS.5.G.2.4:  Classify and organize two-dimensional figures into Venn diagrams based on the attributes of the figures.

 

Students are able to… 

  • Use knowledge of the properties of shapes to sort shapes and classify them into categories.
  • Reason with others why some shapes are in a category but others are not in the same category.
  • Understand properties of shapes and how they relate to classify shapes on a Venn Diagram.
  • Create a graphic organizer to make sense of how two-dimensional shapes relate to one another.

Students are able to…because teachers:

  • Plan for opportunities for students to sort and classify shapes multiple ways using a Venn Diagram.
  • Facilitate discussion among students as they reason why certain shapes fit in categories.
  • Encourage students to organize information about shapes and their properties to help them make sense of the attributes of various shapes and their relationship to one another.
  • Ask probing questions as students analyze shapes to prompt higher level thinking.

 

[divider] [/divider]

 

Questions to ask students:

  • Is a square always, sometimes, or never a rhombus? Why?
    • Sample answer that indicates understanding: A square is always a rhombus because a rhombus is a quadrilateral with all sides congruent and a square also always had four congruent sides. Sometimes a rhombus is not a square though because it does not always have right angles.
    • Sample answer that indicates an incomplete understanding or a misconception: A square is never a rhombus because a rhombus looks like a parallelogram but shorter and does not have right angles.
  • Describe the similarities and differences between the two shapes below.

 

  • Sample answer that indicates understanding: Both shapes are similar because they are hexagons. They are different because the shape on the right is a regular hexagon. It has 6 congruent sides. The shape on the left does not have all congruent sides.
  • Sample answer that indicates an incomplete understanding or a misconception: The shape on the right is a hexagon but the shape on the left is not. They are similar because they are polygons.

 

[divider] [/divider]

 

FSA Notes

Cognitive Complexity Level: Level 2: Basic Application of Skills & Concepts

Achievement Level Descriptors:

Level 2: classifies two-dimensional figures into categories based on their sides and angles

Level 3: understands that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category; classifies two-dimensional figures in the hierarchy based on these properties, including in a Venn diagram

Level 4: draws or constructs two-dimensional figures belonging to a given subcategories

Level 5: evaluates figures that share or do not share attributes that belong to a specified category and justify the reasoning

Assessment Limits:

Attributes of figures may be given or presented within given graphics.

Items that include trapezoids must consider both the inclusive and exclusive definitions.

Items may not use the term “kite” but may include the figure.

 

[divider] [/divider]

 

Additional Resources:

Additional in depth content knowledge:

 

Videos:

Learnzillion: Use categorizing structure

Video:

Khan Academy: Classifying quadrilaterals 

 

Sample Formative Assessment Tasks:

 

 

[divider] [/divider]

 

Online Shape Sorter Task

 

[divider] [/divider]