Third Grade Number and Operations Fractions

Essential Skills and Knowledge	Teacher Resources	Student Resources
3.NF.A.1 Develop understanding of fractions as numbers.
Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a part of size 1/b. "I Can" Statements: I can define a unit fraction. I can recognize a unit fraction as part of a whole. I can identify and explain the parts of a written fraction. I can compare fractions using equal to, less than, and greater than one.	Pizza, Pizza Fractions Identifying Fractions Fractions of a Set Introduction to Fractions - Video Set (Video Set From Khan Academy) Understand a fraction 1/b as part of a whole partitioned into b equal parts *(Log in to LearnZillion before selecting the link)* Understand Fractions *(Log in to LearnZillion before selecting the link)*	Build a Fraction (Student Center) Name the Numerators & Denominators (Student Center) Identify Unit Fractions (Student Center) Naming Fractions Practice (Student Center) Fractions Problem Solving ( > 1 whole ) (Student Center) That's Not Fair! - Equal Parts (Student Center) Fractions (Student Center) FlagFractions (Student Center) Fran and Frank (Student Center) Pizza Party (Student Center) Fractions of a Set (Student Center) Fractions (Student Center) Activities: Illustrate Fractions Recognizing Fractions Modeling Fractions Flag Fractions
3.NF.A.2 Develop understanding of fractions as numbers.
Understand a fraction as a number on the number line: represent fractions on a number line diagram. "I Can" Statements: I can define the interval from 0 to 1 on a number line as the whole. I can divide a whole on a number line into equal parts. I can recognize that the equal parts between 0 and 1 stand for a fraction. I can represent each equal part on a number line with a fraction.	Fractions and Number Lines Fractions on a Number Line (Video Introduction From Khan Academy)	Plot Fractions On A Number Line (Student Center) Drag and Drop Fractions (Student Center) Fraction Monkeys (Student Center) Fraction Number Line (Student Center)
3.NF.A.2.A Develop understanding of fractions as numbers.
Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line. "I Can" Statements: I can recognize that the equal parts between 0 and 1 stand for a fraction. I can represent each equal part on a number line with a fraction.	Represent Fractions on a Number Line *(Log in to LearnZillion before selecting the link)* Fractions on Number Lines *(Log in to LearnZillion before selecting the link)*	Find Grampy (Student Center) Identify Fractions (Student Center) Fraction Ball Games (Student Center)
3.NF.A.2.B Develop understanding of fractions as numbers.
Represent a fraction a/b on a number line diagram by marking off lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line. "I Can" Statements: I can define the interval from 0 to 1 on a number line as a whole. I can divide a whole on a number line into equal parts. I can represent each equal part on a number line with a fraction. I can explain that the endpoint of each equal part represents the total number of equal parts.	Represent Fractions on a Number Line *(Log in to LearnZillion before selecting the link)* Fractions on Number Lines *(Log in to LearnZillion before selecting the link)*
3.NF.A.3 Develop understanding of fractions as numbers.
Explain a equivalence of fractions in special cases, and compare fractions by reasoning about their size. "I Can" Statements: I can describe equivalent fractions. I can recognize simple equivalent fractions. I can compare fractions by their size to determine equivalence. I can use number lines, size, visual fraction models, etc. to find equivalent fractions.	Equivalent Fractions	Equivalent Fractions (Student Center)
3.NF.A.3.A Develop understanding of fractions as numbers.
Understand two fractions as equivalent (equal) if they are the same size or the same point on a number line. "I Can" Statements: I can describe equivalent fractions. I can recognize simple equivalent fractions. I can use number lines, size, visual fraction models, etc. to find equivalent fractions.	Visual Fraction Models and Equivalent Fractions On A Number Line (Video Set From Khan Academy) Understand Equivalent Fractions *(Log in to LearnZillion before selecting the link)*	Equivalent Fractions on a Number Line Problem Solving (Student Center) Equivalent Fractions on a Number Line (Student Center)
3.NF.A.3.B Develop understanding of fractions as numbers.
Recognize and generate simple equivalent fractions, e.g.,1/2=2/4, 4/6=2/3. Explain why the fractions are equivalent,e.g.,by using a visual fraction model. "I Can" Statement: I can compare fractions by their size to determine equivalence.	Fraction Slider Equivalent Fraction Visuals (Video Set From Khan Academy) Recognize and Generate Simple Equivalent Fractions *(Log in to LearnZillion before selecting the link)*	Equivalent Fraction Models (Student Center) Equivalent Fractions (Student Center) Activities: Sort Draw Pizza Activity
3.NF.A.3.C Develop understanding of fractions as numbers.
Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3=3/1; recognize that 6/1=6: locate 4/4 and 1 at the same point of a number line diagram. "I Can" Statements: I can recognize whole numbers written in fractional parts on a number line. I can recognize the difference in a whole number and a fraction. I can express whole numbers as fractions. I can explain how a fraction is equivalent to a whole number.	Different Ways to Represent One as a Fraction (Video Introduction From Khan Academy) Visualizing Whole Numbers as Fractions (Video Introduction From Khan Academy)	Find 1 on a Number Line (Student Center) Writing Fractions as Whole Numbers (Student Center) Compare with Lines (Student Center) Fraction Games (Student Center)
3.NF.A.3.D Develop understanding of fractions as numbers.
Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. "I Can" Statements: I can explain what a numerator means. I can explain what a denominator means. I can recognize whether fractions refer to the same whole. I can decide if comparison of fractions can be made (if they refer to the same whole). I can explain why fractions are equivalent. I can compare two fractions with the same numerator by reasoning about their size. I can compare two fractions with the same denominator be reasoning about their size. I can record the results of comparisons using symbols >, < or =.	Visually Comparing Fractions (Video Set From Khan Academy) Compare Fractions With the Same Numerator or Denominator *(Log in to LearnZillion before selecting the link)*	Comparing Fractions With The Same Numerator/Denominator (Student Center) Matching Fractions (Student Center) Comparing Fractions Side by Side (Student Center) Matching Equivalent Fractions (Student Center)

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Teacher Notes

Number and Operations Fraction Activities	Website/Activity	Content Standards/Technology Standards
Develop understanding of fractions as numbers.	Pizza, Pizza Fractions Identifying Fractions Fractions of a Set Introduction to Fractions - Video Set Fractions Flag Fractions Fran and Frank Fractions of a Set Pizza Party Name the Numerators & Denominators Identify Unit Fractions Naming Fractions Practice Fractions Problem Solving ( > 1 whole) That's Not Fair! - Equal Parts Build a Fraction Fraction Understand a fraction 1/b as part of a whole partitioned into b equal parts Understand Fractions Illustrate Fractions Recognizing Fractions Modeling Fractions Flag Fractions	Common Core: 3.NF.A.1 Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b. Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Develop understanding of fractions as numbers.	Fractions and Number lines Fractions on a Number Line Plot Fractions On A Number Line Drag and Drop Fractions Fraction Monkeys Fraction Number Line	Common Core: 3.NF.A.2 Understand a fraction as a number on the number line: represent fractions on a number line diagram. Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Develop understanding of fractions as numbers.	Find Grampy Identify Fractions Fraction Ball Games Represent Fractions on a Number Line Fractions on Number Lines	Common Core: 3.NF.A.2.A Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line. Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Develop understanding of fractions as numbers.	Fractions on Number Lines	Common Core: 3.NF.A.2.B Represent a fraction a/b on a number line diagram by marking off a lengths of 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line. Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Develop understanding of fractions as numbers.	Equivalent Fractions Equivalent Fractions	Common Core: 3.NF.A.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Develop understanding of fractions as numbers.	Visual Fraction Models and Equivalent Fractions On A Number Line Equivalent Fractions on a Number Line Understand Equivalent Fractions Equivalent Fractions on a Number Line Problem Solving Recognize and Generate Simple Equivalent Fractions	Common Core 3.NF.A.3A Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Develop understanding of fractions as numbers.	Fraction Slider Equivalent Fraction Visuals Equivalent Fractions Equivalent Fraction Models Understand Equivalent Fractions Recognize and Generate Simple Equivalent Fractions Equivalent Sort Draw Pizza Activity	Common Core: 3.NF.A.3B Recognize and generate simple equivalent fractions, e.g., ½ = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model. Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Develop understanding of fractions as numbers.	Different Ways to Represent One as a Fraction Visualizing Whole Numbers as Fractions Compare Fractions Compare with Lines Find 1 on a Number Line Writing Fractions as Whole Numbers	Common Core: 3.NF.A.3C Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram. Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Develop understanding of fractions as numbers.	Visually Comparing Fractions Matching Fractions Comparing Fractions Side By Side Matching Equivalent Fractions Comparing Fractions With The Same Numerator/Denominator Compare Fractions With the Same Numerator or Denominator	Common Core: 3.NF.3D Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.

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