MAFS.1.G.1.3 Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.

Cognitive Complexity Level: 1-Recall

[divider] [/divider] Students are able to… 

  • Relate geometric figures to equal parts
  • Name parts of figures as halves and fourths
  • Divide shapes to make connection that more parts creates smaller pieces

[divider] [/divider] Students are able to…because teachers:

  • Provide experiences to explore circles and rectangles
  • Model vocabulary to connect the models
  • Explore the concept of fair shares
  • Make connection that decomposing equal shares creates smaller pieces

 [divider] [/divider] Questions to ask students:

  • Ask:  Can you draw a circle and show four equal shares?
    • Sample answer that indicates understanding: Student correctly partitions a circle into fourths.
  • Ask: What happens to the size of the shares if we keep decomposing the shape?
    • Sample answer that indicates understanding: The more shares we make the smaller each share will be.

[divider] [/divider] Additional Resources:

Additional in depth content knowledge

Video: Khan Academy – How to Model Halves and Fourths

https://www.khanacademy.org/math/cc-1st-grade-math/cc-1st-measurement-geometry/modal/v/halves-and-fourths

[divider] [/divider] Sample Formative Assessment Tasks:

[divider] [/divider] Resources/Tasks to Support Your Child at Home:

  • Task: Have your child cut cookies of brownies into 2 or 4 equal parts in different ways. Have them describe how they cut their food into halves or fourths.  Then encourage your child to cut a brownie or cookie into fourths or halves in more than one way.
  • Task: Give your child two square pieces of paper or a post-it note. Have them fold or cut one piece into halves.  Have them fold or cut another piece into fourths.  Ask your child to describe how the pieces compare.  They should recognize that the halves are larger pieces than the fourths.
  • The Math Learning Center: Pattern Shapes
  • The Math Learning Center: Geoboards