Number of the Day: Daily Number Sense Routines

A daily number sense routine is one of the simplest ways to strengthen students’ understanding of numbers. Spending just a few minutes each day exploring a single number helps students recognize patterns, make connections, and develop flexible thinking about quantity. Those brief conversations build number sense over time and encourage students to think about numbers in multiple ways rather than relying on memorized procedures.

Many teachers use the day of the school year as the Number of the Day. For example, on the tenth day of school, the number of the day is 10. That one number can become the focus of rich mathematical conversations that develop number sense throughout the school year.

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Place Value Pocket Chart

A common part of calendar time is to add a straw for every day in school and bundle ten straws to develop place value.

A common Number of the Day routine is to use a pocket chart with bundling straws. Each day, students add one straw to the ones pocket. When they collect ten ones, they bundle the straws together and trade them for one bundle of ten. Ten bundles of ten are then traded for one hundred.

This type of groupable model is an important first step in developing place value understanding. Because students physically create groups of ten and then combine ten groups of ten to make a hundred, they experience our base-ten number system in a very concrete way. Those experiences help build the mental images they need before transitioning to more abstract place value models, such as base-ten blocks.

Ten-frames

Another powerful tool for a Number of the Day routine is the ten-frame. Ten-frames help students develop the important benchmarks of 5 and 10, encouraging them to recognize quantities without counting by ones. Rather than seeing a collection of individual dots, students begin to recognize numbers as combinations of five and ten, building the mental images that support counting on, composing and decomposing numbers, and mental computation.

As each new Number of the Day is introduced, students add it to both a class poster and their own math journal. Over time, they create a growing visual record of the numbers they’ve explored throughout the school year. Those daily additions provide opportunities to discuss patterns, identify how many more are needed to make the next multiple of ten, and compare today’s number to those that came before. Best of all, students build a reference they can revisit again and again as their understanding of number grows.

120 Chart and number line

A 120 chart and number line are two essential tools for a daily Number of the Day routine, but they should be displayed where students can easily see them and interact with them. Too often, number lines are hung above the whiteboard or near the ceiling, where they’re little more than classroom decorations. Students should be able to point to numbers, make jumps, and use both tools as they reason about number relationships. It’s also helpful to mark the Number of the Day on the number line. Some commercial number lines, like the one shown below, include markers that make it easy to identify today’s number, but a clothespin or sticky note works just as well.

I also prefer a pocket chart 120 chart over a poster because students can physically manipulate the numbers. While both tools represent the same numbers, they do so in different ways. A 120 chart organizes numbers into groups of ten, making it easier to see patterns in our base-ten number system. A number line, on the other hand, shows numbers in a continuous linear sequence, helping students reason about order, distance, and the relative size of numbers. Using both representations gives students a richer understanding of our number system.

What follows is a menu of activities you can use with these two tools. The goal isn’t to do every activity every day—or to introduce ideas before your students are ready—but to have a collection of routines you can draw from throughout the year. Choose activities that match your students’ needs, vary them from day to day, and keep your daily routine fresh and engaging. Throughout the list below, [number] refers to your Number of the Day.

• Tell me one more, one less, ten more, and ten less than [number].
• Is [number] odd or even?
• Count the next three odd or even numbers.
• Skip count by tens starting at [number].
• Tell me a number that is greater than [number].
• Tell me a number that is less than [number].
• Tell me how many tens and how many ones are in [number].
• Count forward from [number]. Count backward from [number].
• Tell me how many days until the 100th day.
• Add [second number] to [number]. (Use the patterns on the 120 chart—add tens and then count on by ones.)
• Subtract [second number] from [number].

The following activities work especially well with a number line because its linear format helps students reason about number order, identify numbers between two points, and use jumps to represent different ways to compose a number.

• Tell me the number before and the number after [number].
• Give me a number between [number] and [second number].
• Is [third number] between [number] and [second number]?
• Give me two equations for [number].

Number sense isn’t developed in a single lesson. It grows through consistent opportunities to explore numbers, discuss mathematical ideas, and make connections. A daily Number of the Day routine provides those opportunities, helping students build a deeper understanding of our number system one day at a time.