Standard

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

Student Language:

"I can classify shapes based on properties."

Explanation

About the Math, Learning Targets, and Rigor

This standard builds on what was done in 4th grade. Figures from previous grades: polygon, rhombus/rhombi, rectangle, square, triangle, quadrilateral, pentagon, hexagon, cube, trapezoid, half/quarter circle, circle

Properties of figure may include:

• Properties of sides—parallel, perpendicular, congruent, number of sides
• Properties of angles—types of angles, congruent

Triangles can be classified by:

• Angles
  • Right: The triangle has one angle that measures 90º.
  • Acute: The triangle has exactly three angles that measure between 0º and 90º.
  • Obtuse: The triangle has exactly one angle that measures greater than 90º and less than 180º.
• Sides
  • Equilateral: All sides of the triangle are the same length.
  • Isosceles: At least two sides of the triangle are the same length.
  • Scalene: No sides of the triangle are the same length.

In Grade 3, students described, analyzed and compared properties of two-dimensional shapes. They compared and classified shapes by their sides and angles, and connected these with definitions of shapes.

In Grade 4, students built, drew and analyzed two-dimensional shapes to deepen their understanding of the properties of two-dimensional shapes. They looked at the presence or absence of parallel and perpendicular lines or the presence or absence of angles of a specified size to classify two-dimensional shapes.

In Grade 5, students classify two-dimensional shapes in a hierarchy based on properties.

Resources

Videos

• Khan Academy
  • Scroll to 5.G.4, click on skill, find videos on left side of each skill
• Learn Zillion
• Virtual Nerd

EngageNY Lessons

Extra Practice

• North Carolina Tasks
• Illustrative Math Tasks
• Howard County Tasks
  • Click on 5th grade at bottom, then 5.G.4
• Common Core Sheets

Released Assessment Questions

PARCC

Common Core State Standards

5.G.4

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

• A trapezoid is defined as “A quadrilateral with at least one pair of parallel sides.”

STUDENT SAMPLE RESPONSE

Performance Indicators: 5.G.4

Level 5: Exceeds Expectations

• Classifies two-dimensional figures in a hierarchy based on properties.
• Understands that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.
• Uses appropriate tools to determine similarities and differences between categories and subcategories.

Level 4: Meets Expectations

• Classifies two-dimensional figures in a hierarchy based on properties.
• Understands that shared attributes categorize two-dimensional figures.