Setting the Stage for a Successful New School Year


Sarah Stecher is a math teacher at East Kentwood High School, the #1 most diverse public high school in Michigan. She is one of the masterminds behind the resources available at Calc Medic and Math Medic. Sarah is also one of the featured teachers in the College Board AP Daily videos for AP Calculus. Sarah is currently participating in the Hollyhock Fellowship Program at Stanford University, a program focused on helping teachers create equitable access and opportunities for all learners in their classrooms.



I love the beginning of the school year! The first few days of school set the tone for the year and help acclimate students to the wys we will interact with each other and with new learning. My goals in the first week of school are to build the kind of classroom community that will support deep learning and allow students the space to struggle, take risks, and respond resiliently to the emotional and cognitive struggles that will inevitably come their way. For the students who have always been successful in previous math classes and who have little tolerance for imperfection, it becomes especially vital to instigate a new kind of culture around learning, problem solving, and academic growth.


The activities I choose for the first week are centered around the following overarching goals:

  • Establish a culture of care and build trust: We know from neuroscience that feeling safe in an environment is essential for learning and risk taking. Throughout the school year we will ask our students to share ideas in their rough-draft form, to present ideas to the class, to give and accept feedback from peers, and to leave their comfort zones to wrestle with challenging content. All of these have some level of social and emotional risk associated with them and we can not expect our students to engage in these ways if they do not first feel safe, cared for, validated, and a sense of belonging.

  • Shift mindsets from knowing to learning: Many students come to us expecting math class to consist of receiving information in the form of a lecture, doing practice problems, and then memorizing as much as humanly possible the night before the test. Many students have certainly been successful in this model, but we know that the AP Exam requires students to think deeply, flexibly, and apply conceptual understanding. We need to establish this class as a thinking class where students engage in the messy, non-linear, idiosyncratic process of problem solving. For more on this, I would recommend Peter Liljedahl’s fabulous book Building Thinking Classrooms in Mathematics (Corwin, 2021). Not only will students need to think differently but they will need to work differently. Discussion among group members will be the primary tool for introducing and processing new information in this course.

First Week of School

On the first day of school, I have students sit in assigned seats in groups of four. Not knowing where to sit or having to choose a seat without knowing anyone in the class is a weighty and anxiety-inducing task for some of our students. Even high schoolers deal with nerves on the first day of school, so we want to eliminate as many potential threats as possible to make students feel safe and excited for the school year.


I generally start with a quick (5-10 minutes) get-to-know-you activity. I share a little about myself to establish trust, then quickly turn to having students introduce themselves to their group members. Try to be as explicit as possible with what information you want them to share, and avoid any questions that might be triggering or too personal. The goal here is not deep connection, but safety and rapport. Here are some of my favorite ice breaker questions.


Next, we jump into a mathematical task. These are tasks that require deep, non-routine thinking and encourage collaboration. Here are some of my go-to activities: