A math task on Sub Claim C: Concrete Referents. Students are using a provided image to compare fractions of the same sized whole and then compare. Students explain how they know which fraction is the greatest.

This image shows two number lines of different lengths.  The longer number line is partitioned into fourths with one-fourth labeled. The shorter number line is partitioned into halves with one-half labeled.  The zero is at the same point and one-half and one-fourth are at the same point on both number lines.

This flawed reasoning task provides practice for students to understand the size of the wholes must be equal in order to compare fractions.

This flawed reasoning task provides practice for students to understand the size of the wholes must be equal in order to compare fractions.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Choose each statement that is true. $\frac34$ is greater than $\frac54$. $\frac54$ is greater than $\frac34$. $\frac34 \gt \frac54$. $\frac34 \lt \frac...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Choose each statement that is true. $\frac98$ is greater than $\frac{9}{4}$. $\frac{9}{4}$ is greater than $\frac98$. $\frac98 \gt \frac{9}{4}$. $\frac...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Who correctly compares the numbers 2/3 and 2/5? Ben said that 2/3 is greater than 2/5. Lee said that 2/3 is equal to 2/5. Mia said that 2/3 is less tha...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Alec and Felix are brothers who go to different schools. The school day is just as long at Felix' school as at Alec's school. At Felix' school, there a...

The math learning center is an app and online platform that allows students to use manipulatives virtually. In this activity, students will use virtual manipulatives to add fractions with unlike denominators

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. This task is meant to generate classroom discussion related to comparing fractions. Particularly important is that students understand that when you compare fractions, you implicitly always have the same whole.

This video explains how to compare fractions with the same denominators using the meaning of a fraction.

This video explains how to compare fractions with the same numerators without using the LCD.

Ordering fractions can seem like quite a mundane and routine task. This Nrich problem encourages students to take a fresh look at the process of comparing fractions, and offers lots of opportunities to practice manipulating fractions in an engaging context where students can pose questions and make conjectures.

This virtual manipulative is currently located at: https://pcmathoer.wordpress.com/vm/

Explanation of how teachers can use Fraction Pieces Virtual Manipulative with drop zones.

Students are familiar with the number line and determining the location of positive fractions, decimals, and whole numbers from previous grades. Students extend the number line (both horizontally and vertically) in Module 3 to include the opposites of whole numbers. The number line serves as a model to relate integers and other rational numbers to statements of order in real-world contexts. In this module's final topic, the number line model is extended to two-dimensions, as students use the coordinate plane to model and solve real-world problems involving rational numbers.

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In this activity, students will show fractions with tangrams and explain their thinking using SeeSaw.

UMCDC Engage NY 3rd Grade Module 5 Topic D (20-21) Students transfer their work to the number line in Topic D. They begin by using the interval from 0 to 1 as the whole. Continuing beyond the first interval, they partition, place, count, and compare fractions on the number line (3.NF.2a, 3.NF.2b, 3.NF.3d).

UMCDC Engage NY 3rd Grade Module 5 Topic F (20-21) Topic F concludes the module with comparing fractions that have the same numerator. As they compare fractions by reasoning about their size, students understand that fractions with the same numerator and a larger denominator are actually smaller pieces of the whole (3.NF.3d). Topic F leaves students with a new method for precisely partitioning a number line into unit fractions of any size without using a ruler.