Big Idea 2 : BIG IDEA 2 (Archived)



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Develop an understanding of fractions and fraction equivalence.

General Information

Number: MA.3.A.2
Title: BIG IDEA 2
Type: Big Idea
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 3
Body of Knowledge: Algebra

Related Benchmarks

This cluster includes the following benchmarks
Code Description
MA.3.A.2.1: Represent fractions, including fractions greater than one, using area, set, and linear models.
MA.3.A.2.2: Describe how the size of the fractional part is related to the number of equal sized pieces in the whole.
MA.3.A.2.3: Compare and order fractions, including fractions greater than one, using models and strategies.
MA.3.A.2.4: Use models to represent equivalent fractions, including fractions greater than 1, and identify representations of equivalence.


Related Access Points

This cluster includes the following access points.

Independent

Access Point Number Access Point Title
MA.3.A.2.In.a: Represent half and whole using area and sets of objects.
MA.3.A.2.In.b: Identify the relationship between half and whole.

Supported

Access Point Number Access Point Title
MA.3.A.2.Su.a: Recognize part and whole using area and sets of objects.

Participatory

Access Point Number Access Point Title
MA.3.A.2.Pa.a: Recognize parts of whole objects and parts of sets of objects.


Related Resources

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

Educational Game

Name Description
Fraction Beach:

In this interactive Flash game, students are challenged to identify a fraction from a picture of a group of objects or from a geometric diagram, or they are asked to create a diagram or picture given a common fraction. Motivation is provided by earning buckets of sand to built a sand castle.

Image/Photograph

Name Description
Clipart ETC Fractions:

Illustrations that can be used for teaching and demonstrating fractions. Fractional representations are modeled in wedges of circles ("pieces of pie") and parts of polygons. There are also clipart images of numerical fractions, both proper and improper, from halves to twelfths. Fraction charts and fraction strips found in this collection can be used as manipulatives and are ready to print for classroom use.

Lesson Plans

Name Description
"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. 

Fractions Meet Pattern Blocks:

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

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.

Cooking with Fractions:

In this lesson, students will examine real-world recipes and determine if the fractions are less than one or greater than one. Fractions and ingredients are recorded on a chart within the groups. Games are mixed in to make learning interactive and engaging.

Teaching Idea

Name Description
Fraction Action:

By making popcorn together with your child you may also introduce the concept of fractions.

Virtual Manipulatives

Name Description
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
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
Fraction Game:

This virtual manipulative allows individual students to work with fraction relationships. (There is also a link to a two-player version.)

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.



Student Resources

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

Educational Game

Title Description
Fraction Beach:

In this interactive Flash game, students are challenged to identify a fraction from a picture of a group of objects or from a geometric diagram, or they are asked to create a diagram or picture given a common fraction. Motivation is provided by earning buckets of sand to built a sand castle.

Virtual Manipulatives

Title Description
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
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
Fraction Game:

This virtual manipulative allows individual students to work with fraction relationships. (There is also a link to a two-player version.)



Parent Resources

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

Image/Photograph

Title Description
Clipart ETC Fractions:

Illustrations that can be used for teaching and demonstrating fractions. Fractional representations are modeled in wedges of circles ("pieces of pie") and parts of polygons. There are also clipart images of numerical fractions, both proper and improper, from halves to twelfths. Fraction charts and fraction strips found in this collection can be used as manipulatives and are ready to print for classroom use.

Teaching Idea

Title Description
Fraction Action:

By making popcorn together with your child you may also introduce the concept of fractions.

Virtual Manipulatives

Title Description
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
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