C Curriculum Explorer
Mathematics·Fractions·conceptual

Decomposing a shape into more equal shares

Understand that decomposing a shape into more equal shares creates smaller shares

Suggested ages 6–7

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Learning journey

Your child is beginning to understand fractions by dividing shapes and objects into equal parts, learning to recognize and write simple fractions like halves, quarters, and thirds.

Evidence of understanding

  • Explain that a quarter of a pizza is smaller than a half of the same pizza
  • Demonstrate that fourths are smaller pieces than halves
  • Compare the size of halves and quarters of the same shape

Assessment prompt

If a pizza is shared between 2 people and then the same pizza is shared between 8 people, can Decomposing a shape into more equal shares explain why each slice is smaller when more people share it?

Standards alignment

1.G.3US · ccss-math

Partition circles and rectangles

Common Core State Standards for Mathematics · 1