Engaging Ways to Teach Comparing and Ordering Whole Numbers

Comparing and ordering whole numbers is one of my favorite things to teach. There are so many fun, engaging ways for students to practice this skill, and students usually walk away from the lesson with a great deal of confidence!

Comparing and Ordering Interactive Notebook

I like to introduce comparing and ordering whole numbers with an interactive notebook activity. Students have a tangible collection of examples and tips, and it’s a tool they can come back to later for review.

Depending on the age you're teaching, there are so many different ways to do this. For younger elementary kids, I personally use this interactive notebook download for comparing and ordering whole numbers up to the hundred thousands place. For older kiddos, I created an interactive notebook activity that uses numbers up to the billions place.

Avoiding Misconceptions Later

When teaching students to compare whole numbers, I avoid the idea that the number with more digits is always larger. This can set them up for trouble later on when they have to compare numbers that include decimals. Instead, we focus on place values. When comparing numbers with similar digits (e.g., 400,999 and 401,000), guide students to focus on the leftmost place value that differs.

Usually by this point, students have a good understanding of place values. But ordering multiple numbers, especially larger numbers, can get tricky. That’s why I like to give my students a visual tool to use. I call it our “Comparing Chart.” It’s essentially a place value chart with multiple spaces for students to line up the numbers they’re trying to compare and order. While students go through their chart, they can cross out the numbers as they put them in order. It looks something like this:

Making it Simple

Ordering groups of numbers can be overwhelming, especially when the numbers go up to a million or higher. Some learners need something more hands-on, so we use separate place value number lines for each large number we're working with. (Download them here for free!)

First, students write each number we're working with on its own number line. Then, they can take each number and move it around to compare with the other numbers until they figure out which is the largest. They can continue moving the other numbers around to find the correct order. There's something about being able to physically move the numbers around that helps when a kid is struggling to put them in order.

Tip: Laminate the number lines for durability, so students can reuse them with dry-erase markers!

Make it Fun!

After our lesson, one of my favorite ways for students to practice comparing whole numbers is with a variation of the “War” card game. Instead of playing cards, we use number cards.

The rules are simple:

• Two students each place one card down at a time and compare with their partner.

• The student with the larger card keeps both and adds it to his or her deck.

• If they place the same card down, they have a “War.” 

  • Each student places three more cards face-down on the table.

  • Then, they place a fourth card down face-up.

  • The student who had the largest card gets to keep all ten cards currently on the table.

• To win, a student must take all of his or her partner’s cards.

You can do this activity with any number cards, but here is the “War” game I made. It’s separated into 3-digit, 4-digit, 5-digit, and 6-digit numbers so you can level it up or down for your group of kids. Introduce this as a center activity or a fast-finisher task, so students can play and practice!

Additional Ideas and Resources

• Digital Interactive Games: Check out some online math games and apps that allow students to practice comparing and ordering numbers in an engaging, interactive way.

• Classroom Number Sorts: Have students sort physical number cards as a group or pair activity. You can turn it into a race or challenge by giving them increasingly larger sets of numbers to work with.

• Math Journals: Encourage students to reflect on their learning process by writing down what strategies they used when ordering or comparing numbers in their interactive notebook once the lesson is through.

Teaching students how to compare and order whole numbers can be a blast, especially with so many fun and engaging activities out there. There’s no shortage of ways to make this concept click for your students. Plus, the confidence they build while mastering these skills will set them up for success as they tackle bigger math challenges down the road. So, don’t be afraid to mix it up, keep things fun, and watch your students thrive as number comparison pros!