MA.3.A.2.2Archived Standard

Describe how the size of the fractional part is related to the number of equal sized pieces in the whole.

Remarks

For instance, "As the number of equal parts increases, the size of each fractional part decreases."

Fractions can also be compared by looking at numerators, such as when comparing 1/5 and 1/6. Since both fractions represent one part of a whole, the size of the parts can be compared. Fifths are larger than sixths so 1/5 is greater than 1/6.

General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 3
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
Big Idea: BIG IDEA 2 - Develop an understanding of fractions and fraction equivalence.
Date Adopted or Revised: 09/07
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Lesson Plans

"What's the part? What's the whole?":

This lesson provides a conceptual approach to multiplying a fraction times a whole number and a whole number times a fraction.  Students are to use an understanding of the meaning of the denominator and numerator to figure out a strategy for finding the solution. 

Type: Lesson Plan

Fractions Meet Pattern Blocks:

Students will identify the fractional parts of a whole using pattern blocks. There is a focus on unit fractions.

Type: Lesson Plan

Fraction Counting Book:

Students will make a book of fractions by counting by a specified denominator. They will represent the fractions as pictures, in number form, word form, and on a number line.

Type: Lesson Plan

Virtual Manipulatives

Build a Fraction:


This virtual manipulative will help the students to build fractions from shapes and numbers to earn stars in this fraction lab. To challenge the children there are multiple levels, where they can earn lots of stars.
Some of the sample learning goals can be:

  • Build equivalent fractions using numbers and pictures.
  • Compare fractions using numbers and patterns
  • Recognize equivalent simplified and unsimplified fractions

Type: Virtual Manipulative

Exploring Fractions:

Match shapes and numbers to earn stars in this fractions game.

  • Match fractions using numbers and pictures
  • make the same fractions using different numbers
  • Match fractions in different picture patterns
  • Compare fractions using numbers and patterns

Type: Virtual Manipulative

Fraction Models:

An interactive tool to represent a fraction circle, rectangle, or set model with numerators and denominators ranging from 1 to 100. The decimal and percent equivalents of the created fraction are also displayed.

Type: Virtual Manipulative

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Virtual Manipulatives

Build a Fraction:


This virtual manipulative will help the students to build fractions from shapes and numbers to earn stars in this fraction lab. To challenge the children there are multiple levels, where they can earn lots of stars.
Some of the sample learning goals can be:

  • Build equivalent fractions using numbers and pictures.
  • Compare fractions using numbers and patterns
  • Recognize equivalent simplified and unsimplified fractions

Type: Virtual Manipulative

Exploring Fractions:

Match shapes and numbers to earn stars in this fractions game.

  • Match fractions using numbers and pictures
  • make the same fractions using different numbers
  • Match fractions in different picture patterns
  • Compare fractions using numbers and patterns

Type: Virtual Manipulative

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.

Virtual Manipulatives

Build a Fraction:


This virtual manipulative will help the students to build fractions from shapes and numbers to earn stars in this fraction lab. To challenge the children there are multiple levels, where they can earn lots of stars.
Some of the sample learning goals can be:

  • Build equivalent fractions using numbers and pictures.
  • Compare fractions using numbers and patterns
  • Recognize equivalent simplified and unsimplified fractions

Type: Virtual Manipulative

Exploring Fractions:

Match shapes and numbers to earn stars in this fractions game.

  • Match fractions using numbers and pictures
  • make the same fractions using different numbers
  • Match fractions in different picture patterns
  • Compare fractions using numbers and patterns

Type: Virtual Manipulative