Big Idea 2: BIG IDEA 2Archived

loading spinner
Export Print
Develop an understanding of and fluency with addition and subtraction of fractions and decimals.
General Information
Number: MA.5.A.2
Title: BIG IDEA 2
Type: Big Idea
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 5
Body of Knowledge: Algebra

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Independent

MA.5.A.2.In.a
Express, represent, and use fractions—including halves, fourths, and thirds—as parts of a whole and as parts of a set, using number names.
MA.5.A.2.In.b
Express, represent, and use whole numbers to 100 in various contexts.
MA.5.A.2.In.c
Compare fractional parts of objects of equal size, including halves, fourths, and thirds.
MA.5.A.2.In.d
Identify place value of two-digit numbers to 99 in terms of tens and ones.
MA.5.A.2.In.e
Compare fractional parts of objects of equal size, including halves, fourths, and thirds.

Supported

MA.5.A.2.Su.a
Express, represent, and use fractions—including halves and fourths—as parts of a whole and as parts of a set, using number names.
MA.5.A.2.Su.b
Express, represent, and use whole numbers to 30 and ordinal numbers first to fifth in various contexts.
MA.5.A.2.Su.c
Compare fractional parts of objects of equal size, including halves and fourths.
MA.5.A.2.Su.d
Apply the concepts of counting and grouping by tens and ones to identify the value of whole numbers to 30.

Participatory

MA.5.A.2.Pa.a
Identify parts of a whole using a set of objects or whole object.
MA.5.A.2.Pa.b
Distinguish half from whole using objects or visual models.
MA.5.A.2.Pa.c
Compare sets of objects to 5 and determine if they have same or different quantities.

Related Resources

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

Educational Game

Change Maker:

This interactive applet gives students practice in making change in U.S. dollars and in four other currencies. Students are presented with a purchase amount and the amount paid, and they must enter the quantity of each denomination that make up the correct change. Students are rewarded for correct answers and are shown the correct change if they err. There are four levels of difficulty, ranging from amounts less than a dollar to amounts over $100.

Type: Educational Game

Image/Photograph

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.

Type: Image/Photograph

Lesson Plans

Using Models to Subtract Fractions with Unlike Denominators:

This lesson is specific to subtracting fractions with unlike denominators. It requires students to already have a working knowledge of subtracting fractions with common denominators and equivalent fractions. 

Type: Lesson Plan

Adding and Subtracting Mixed Numbers with Unlike Denominators:

This lesson helps fifth graders combine their understanding of adding and subtracting fractions with unlike denominators, finding equivalent fractions, and adding and subtracting mixed numbers with like denominators to move on to adding and subtracting mixed numbers with unlike denominators.

Type: Lesson Plan

“Dinner with Friends”:

The students will determine what to order at a dinner with friends yet stay within a budget. The students will try to maximize their budgets and order as much food as they possibly can with their given amount of money.

Type: Lesson Plan

Looking for Patterns in a Sequence of Fractions:

Students generate and describe a numerical pattern using the multiplication and subtraction of fractions.

Type: Lesson Plan

Prime Factorization - From Fingerprints to Factorprints:

This activity provides an introduction to composite numbers and prime numbers through factorization.

Type: Lesson Plan

Teaching Idea

Adding Fractions with Unlike Denominators:

Kahn Academy video - How to add fractions with unlike denominators.

Type: Teaching Idea

Tutorials

Factoring with the Factor Tree:

This Java applet presents a composite number, and prompts you to factor it -- one step at a time. Enter one factor, prime or another composite; the applet calculates the remaining factor, and branches two boxes below any composite factor so that you may proceed factoring until you obtain the full factorization into primes, which the applet colors in green. Click the "Repeat problem" button to see that different factor trees for a given number still result in the same prime factorization.

Type: Tutorial

Adding Fractions:

In this web-based tutorial, students learn procedures for adding fractions with like and unlike denominators. The tutorial includes visual representations of the problems using pizzas, animations of the algorithm, and links to related lessons, worksheets, and practice problems.

Type: Tutorial

Subtracting Fractions:

In this web-based tutorial, students learn procedures for subtracting fractions. The tutorial includes visual representations of the problems using pizzas, animations of the algorithm, and links to related lessons, worksheets, and practice problems.

Type: Tutorial

Virtual Manipulative

Fraction Game:

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

Type: Virtual Manipulative

Student Resources

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

Educational Game

Change Maker:

This interactive applet gives students practice in making change in U.S. dollars and in four other currencies. Students are presented with a purchase amount and the amount paid, and they must enter the quantity of each denomination that make up the correct change. Students are rewarded for correct answers and are shown the correct change if they err. There are four levels of difficulty, ranging from amounts less than a dollar to amounts over $100.

Type: Educational Game

Virtual Manipulative

Fraction Game:

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

Type: Virtual Manipulative

Parent Resources

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

Image/Photograph

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.

Type: Image/Photograph

Tutorial

Subtracting Fractions:

In this web-based tutorial, students learn procedures for subtracting fractions. The tutorial includes visual representations of the problems using pizzas, animations of the algorithm, and links to related lessons, worksheets, and practice problems.

Type: Tutorial