MATH APPETIZERS
A small start with room for big thinking.
Number sense and pattern routines prepare students to notice relationships, explain strategies, and lead one another.
What students do
Students explore a routine with the teacher, practice explaining it, and gradually prepare and lead it themselves. In my classroom, student-led number sense routines begin around December, once students know the expectations.
Why I use it
A shared, accessible starting point gives everyone a way into the mathematics. More complex explanations and extensions give students room to stretch.
SEE AN EXAMPLE · DOT CARD
How many? How do you know?
Show the card for five seconds. Hide it and ask “How many?” Show it again, then ask students to explain the groups they saw.
Try one routine at a time
Number strings before number talks
Use connected calculations to help students draw on prior learning and build strategies before asking them to use those strategies independently.
9 + 6
19 + 26
299 + 154
6.9 + 0.35
These calculations appear in the presentation; the decimal example is introduced later in the school year. Ask students what they can carry from one problem to the next.
More or Less
Let a student present a number. Ask classmates to show one more or one less in a selected place-value position. Discuss which digits change and why. It is a useful routine when time is short.
Prime factorization
A student chooses a number. Classmates have a few minutes to factor it in as many ways as they can, then compare representations and explain their reasoning.
Pattern puzzles
Show a geometric pattern and invite several explanations. Ask students to identify a repeated relationship, predict what might come next, and justify a rule.
Math practices in action
Seeing groups and decompositions can reveal mathematical structure (MP7). Comparing strategies develops reasoning (MP3). When students generalize a repeated strategy or relationship, they have an opportunity to use MP8.
Explore. Model. Practice. Then make it a routine.
Do not introduce every ingredient at once. The quick warm-up comes after students have had time to understand the activity.
Building confidence through connection.
© 2026 Heidi Fee · Math With Meaning
Music. Creativity. Student leadership.