Math - Common Core Standards

Third Grade

Number and Operations in Base Ten - Fractions

3.NF.A.2 

Understand a fraction as a number on the number line; represent fractions on a number line diagram.



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.

	Fractions On A Number Line
	Compare Fractions

3.NF.A.2.B
Represent a fraction a/b on a number line diagram by marking off a 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.

	Fractions On A Number Line

3.NF.A.3

Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

3.NF.A.3.A
Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.

	Fractions That Equal 1

3.NF.A.3.B
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.

	Equivalent Fractions

3.NF.A.3.C
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.

	Fractions Equivalent to 1 on the Number Line

3.NF.A.3.D
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.

	Compare Fractions With the Same Denominator -  Aligned to Common Core Standard 3.NF.A.3.D
	Compare Fractions With the Same Numerator -  Aligned to Common Core Standard 3.NF.A.3.D