Elementary Mathematics

3rd Grade Unit 7 Overview and Standards


Use these links to access resources for this unit.


 Before You Begin this Unit…
 

Unit at a Glance 

Unit 7 is the only unit in Grade 3 focused on fractions. By the end of this unit students should have a strong understanding of fractions, especially how to represent them on a number line diagram.

This unit builds upon multiplication and division ideas which are covered thoroughly in Unit 5.

Suggested Dates:
January 28- March 11

Estimated Duration: 25 days

*Investigation 1: 6  lessons
Skip 1.4A and 1.4B 

*Investigation 2:  4 lessons 

CMS Fractions on a Number Line Unit: 9 lessons


 Standards Addressed in the Unit

3.NF.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.

3.NF.2 Understand a fraction as a number on the number line; represent fractions on a number line diagram.

3.NF.2a. 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.

3.NF.2b. 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.

3.NF.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

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

3.NF.3b.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.

3.NF.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.

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.

3.G.2   Partition shapes into equal areas. Label each part as a unit fraction.  

3.MD.4  Represent and Interpret Data.

Link to CCSS Unpacking Document-Updated Sept. '15