Standard

Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape.

Student language:

• "I can divide shapes into parts with equal areas and show those areas as fractions."

Explanation

About the Math, Learning Targets, and Rigor

This standard builds on students’ work with fractions and area. Students are responsible for partitioning shapes into halves, thirds, fourths, sixths and eighths.

Given a shape, students partition it into equal parts, recognizing that these parts all have the same area. They identify the fractional name of each part and are able to partition a shape into parts with equal areas in several different ways.

Resources

Videos

• Khan Academy
  • scroll to 3.G.2, click on a skill, watch videos on left side in each skill
• Learn Zillion

EngageNY Lessons

Extra Practice

• North Carolina Tasks
• Illustrative Math Tasks
• Howard County Tasks
  • Click on 3rd grade at bottom, then 3.G.2
• Common Core Sheets

Released Assessment Questions

PARCC

3.G.2

Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape.

STUDENT SAMPLE RESPONSE

Performance Indicators: 3.G.2

Level 5: Exceeds Expectations

• Solves real-world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and provides examples of rectangles with the same perimeter and different areas or with the same area and different perimeters. A substantial addition, subtraction, or multiplication step with number values towards the higher end of the acceptable values for each operation.
• Partitions shapes into parts with equal areas and expresses the area as a unit fraction of the whole.

Level 4: Meets Expectations

• Solves mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and provides examples of rectangles with the same area and different perimeters.