Comparing Numbers: Greater Than/Less Than Sort

Comparing numbers is about more than deciding which number is greater or less. Students need to reason about the quantities the numbers represent and use that understanding to make comparisons. A sorting activity is a great way to provide repeated practice because students compare a variety of numbers to the same target number, sorting each one as less than or greater than the target. And because the target number, card set, and representations can all be changed, the same activity can be used with students at very different levels of understanding.

Begin with Numbers Within 20

When first introducing the activity, you might begin with numbers within 20 and use the double ten-frame mat provided in the download. Choose a target number and have students build it with counters, keeping that model in front of them as a visual reference while they sort.

For example, if the target number is 12, students build 12 on the double ten-frame. As they draw each number card, they decide whether that number belongs on the less than 12 or greater than 12 side of the sorting mat. The ten-frame model helps students visualize why each number is less than or greater than the target. Ten is easy to see as one full ten-frame, and the additional 2 gives students a clear visual benchmark for making their comparisons.

Students who need more concrete experience can also build the number on each card with counters before comparing it to the target. Over time, they can move from building both quantities to using the target model as a visual reference and eventually to comparing and sorting the numeral cards without the ten-frame.

Differentiate with Target Numbers

Once students understand the activity, it’s easy to differentiate for use in a math workstation. Each student can work with their own target number, so partners can work side by side on the same sorting activity while practicing at different levels.

I’ve included number cards from 1 to 99, but I wouldn’t give every student all 99 cards. Instead, create smaller card sets that are appropriate for the target numbers students are working with. If a student’s target number is 12, for example, the cards in that set might range from 1 to 20. After all, if a student is developing an understanding of 12, deciding that 97 is greater than 12 doesn’t provide particularly meaningful practice!

You can also adjust the difficulty by considering how close the numbers are to the target. Comparing 2 to 12 is quite different from comparing 11 to 12. As students become more confident, include more numbers close to the target so they have to reason more carefully about each comparison.

One Activity, Lots of Possibilities

The beauty of a simple sorting activity like this is that you don’t need a different activity every time students are ready for a new challenge. Change the target number, adjust the card set, or change the level of representation while keeping the familiar routine the same. Use it for small-group instruction first, then move it to a math center for partner or independent practice.

Download the free Comparing Numbers Sorting Activity here. The download includes the sorting mat, double ten-frame mat, and number cards from 1 to 99, so you can customize the activity to match the numbers your students are ready to compare.