*halves, thirds, half of, a third of,*etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.

**Subject Area:**Mathematics

**Grade:**2

**Domain-Subdomain:**Geometry

**Cluster:**Level 1: Recall

**Cluster:**Reason with shapes and their attributes. (Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

**Date Adopted or Revised:**02/14

**Date of Last Rating:**02/14

**Status:**State Board Approved - Archived

## Related Courses

## Related Access Points

## Related Resources

## Formative Assessments

## Lesson Plans

## Lesson Study Resource Kit

## Original Student Tutorials

## Problem-Solving Tasks

## MFAS Formative Assessments

Students consider if two different shaped fourths of the same rectangle represent equal shares.

Students consider if two different shaped halves of the same rectangle represent equal shares.

Students partition three different circles into two, three, and four equal parts and consider what fraction each part represents.

Students partition a rectangle into four equal parts and consider what fraction represents the whole.

## Original Student Tutorials Mathematics - Grades K-5

It's time for cake! Learn to partition cakes into thirds in this interactive student tutorial.

It's time for pie! Learn to partition circular pies into fourths in this interactive student tutorial.

Learn to partition circular and rectangular pizzas into halves in this interactive tutorial.

It's Thanksgiving and time for pie! Learn to partition rectangular pies into fourths in this interactive student tutorial.

## Student Resources

## Original Student Tutorials

It's time for cake! Learn to partition cakes into thirds in this interactive student tutorial.

Type: Original Student Tutorial

Learn to partition circular and rectangular pizzas into halves in this interactive tutorial.

Type: Original Student Tutorial

It's time for pie! Learn to partition circular pies into fourths in this interactive student tutorial.

Type: Original Student Tutorial

It's Thanksgiving and time for pie! Learn to partition rectangular pies into fourths in this interactive student tutorial.

Type: Original Student Tutorial

## Problem-Solving Tasks

The purpose of this task is for students to see different ways of partitioning a figure into two or more equal shares, by which we mean decomposing the figure into "pieces" with equal area.

Type: Problem-Solving Task

This task is for assessment purposes, providing a context for indentifying different ways of representing half of an object, a rectangle in this case. The task may also be used for instructional purposes but if so the teacher may wish to introduce some other ways of showing one half of the rectangle, such as dividing along a diagonal (and shading in one piece) or dividing it into four equal pieces, shading in two pieces that only touch at a corner.

Type: Problem-Solving Task

## Parent Resources

## Problem-Solving Tasks

The purpose of this task is for students to see different ways of partitioning a figure into two or more equal shares, by which we mean decomposing the figure into "pieces" with equal area.

Type: Problem-Solving Task

This task is for assessment purposes, providing a context for indentifying different ways of representing half of an object, a rectangle in this case. The task may also be used for instructional purposes but if so the teacher may wish to introduce some other ways of showing one half of the rectangle, such as dividing along a diagonal (and shading in one piece) or dividing it into four equal pieces, shading in two pieces that only touch at a corner.

Type: Problem-Solving Task