---
title: "5.GSR.8: Polygons & Rectangular Prisms (Georgia Mathematics standard)"
code: 5.GSR.8
cite_as: Georgia Standards of Excellence, Mathematics, 5.GSR.8
subject: math
grades:
  - grade-5
language: en
canonical_url: https://georgiahomeroom.org/standards/code/5.GSR.8
md_url: https://georgiahomeroom.org/standards/code/5.GSR.8.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/5.GSR.8.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/grade-5.md
index: https://georgiahomeroom.org/standards/index.md
---

# 5.GSR.8: Polygons & Rectangular Prisms

Examine properties of polygons and rectangular prisms, classify polygons by their properties, and discover volume of right rectangular prisms.

- Subject: Mathematics
- Appears in: Grade 5, https://georgiahomeroom.org/standards/math/grade-5.md

## Expectations

- **5.GSR.8.1**: Classify, compare, and contrast polygons based on properties.
- **5.GSR.8.2**: Determine, through exploration and investigation, that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.
- **5.GSR.8.3**: Investigate volume of right rectangular prisms by packing them with unit cubes without gaps or overlaps. Then, determine the total volume to solve problems.
- **5.GSR.8.4**: Discover and explain how the volume of a right rectangular prism can be found by multiplying the area of the base times the height to solve authentic, mathematical problems.

## Georgia Milestones coverage

- Mathematics Grade 5 (EOG). Geometric & Spatial Reasoning. Examine properties of polygons and rectangular prisms, classify polygons by their properties, and discover volume of right rectangular prisms. (about 12% of the test; 7 points)

## What mastery looks like

Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level.

- **Beginning**: Classify polygons based on the number of sides. Describe attributes of a specific polygon.
- **Developing**: Classify polygons (triangles, quadrilaterals, pentagons, hexagons, and octagons) based on angles, side lengths, symmetry, congruence, and the presence or absence of parallel lines. Given an image of a right rectangular prism packed with unit cubes, determine the volume of the prism. Determine the volume of a right rectangular prism by using the height and the area of the base.
- **Proficient**: Compare and contrast polygons (triangles, quadrilaterals, pentagons, hexagons, and octagons) based on angles, side lengths, symmetry, congruence, and the presence or absence of parallel lines. Analyze the properties of categories of shapes to draw conclusions about the properties of shapes in subcategories of the original categories. Determine the volume of a right rectangular prism by using the height and the area of the base to solve authentic mathematical problems.
- **Distinguished**: Explain how the volume of a right rectangular prism can be found by multiplying the height by the area of the base to solve authentic mathematical problems.

## The same standard across grades

- Kindergarten, K.GSR.8: Identify, describe, and compare basic shapes encountered in the environment, and form two-dimensional shapes and three-dimensional figures. https://georgiahomeroom.org/standards/code/K.GSR.8.md
- Grade 3, 3.GSR.8: Determine the perimeter of a polygon presented in real-life, mathematical problems. https://georgiahomeroom.org/standards/code/3.GSR.8.md
- Grade 4, 4.GSR.8: Identify and draw geometric objects, classify polygons based on properties, and solve problems involving area and perimeter of rectangular figures. https://georgiahomeroom.org/standards/code/4.GSR.8.md
- **Grade 5, 5.GSR.8 (this standard)**: Examine properties of polygons and rectangular prisms, classify polygons by their properties, and discover volume of right rectangular prisms.
- Grade 8, 8.GSR.8: Solve contextual, geometric problems involving the Pythagorean Theorem and the volume of geometric figures to explain real phenomena. https://georgiahomeroom.org/standards/code/8.GSR.8.md

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.