Illustrative Mathematics: 3.nf Which Is Closer to 1?

A seemingly simple question that reveals a lot about a student's understanding of fractions. In finding an answer, learners compare fractions with different denominators that are both greater and less than one. No number line is...

Students find which number is closest to 1/2. Aligns with 3.NF.A.2/CCSS.Math.Content.3.NF.A.1 Standard 2. Understand a fraction as a number on the number line; represent fractions on a number line diagram.

The purpose of this task is to assess whether students understand fractions as being built from unit fractions and whether they can accurately locate fractions on the number line. Aligns with 3.NF.A.2/CCSS.Math.Content.3.NF.A.1 Standard...

This simple-looking problem reveals much about how well students understand unit fractions as well as representing fractions on a number line. Aligns with 3.NF.A.2/CCSS.Math.Content.3.NF.A.2.a Represent a fraction 1/b on a number line...

Students find 7/4 starting from 1. Aligns with 3.NF.A.2; CCSS.Math.Content.3.NF.A.2.a Represent a fraction 1/b on a number line diagram

The number line below shows two numbers, 0 and 1. Students find 1/4 on this number line. Aligns with 3.NF.A.2; CCSS.Math.Content.3.NF.A.2.a Represent a fraction 1/b on a number line diagram

This task is meant to address a common error that students make, namely, that they represent fractions with different wholes when they need to compare them. Aligns with CCSS.Math.Content.3.NF.A.3.d Compare two fractions with the same...

The purpose of this task is for students to compare fractions using common numerators and common denominators and to recognize equivalent fractions. Aligns with CCSS.Math.Content.3.NF.A.3.a Understand two fractions as equivalent (equal)...

This is the third of three summative assessment tasks for 3.NF.2 that progress in difficulty. Each requires that students understand a fraction as a number on the number line and represent fractions on a number line diagram. Aligns with...

The purpose of this task is to present students with a context where they need to explain why two simple fractions are equivalent and are most appropriate for instruction. Students can illustrate the fact that the two fractions are...