Simpler Math
Teachers collaborating during a professional learning workshop

Purpose Before Procedure

A Resource Library of Mathematics Learning Experiences for Middle and High School Math

How to use this library

Begin with the mathematics you want students to learn. Choose a challenge that creates a genuine reason to investigate it. Let students make sense of the situation, notice constraints, and propose strategies before formalizing the mathematical tools. Some ideas are best for launching a concept; others work better after initial instruction as applications or extensions. Each entry provides a student-facing driving question, a clear mathematical connection, a possible investigation, and a practical teacher launch. These are adaptable starting points, not fully scripted lesson plans or claims that every context requires a single predetermined method.

Design lens

  1. 1
    Problem first: What decision, prediction, design, or explanation is needed?
  2. 2
    Mathematics second: What concepts become useful, and what prior knowledge is required?
  3. 3
    Evidence: What will students measure, model, compare, calculate, or justify?
  4. 4
    Return to purpose: How does mathematics improve the original decision?

Browse by Course

From Idea to Lesson

Use this short planning framework to adapt an idea from the library to your own course.

Topic or Learning Outcome
Student-Facing Problem or Decision
Information and Constraints Students Receive
What Students May Need to Notice or Learn
When and How Formal Instruction Will Enter
Student Product or Evidence of Reasoning
How Students Will Return to the Original Problem

A Note on Authentic Contexts

Authenticity does not require a large project, expensive materials, or an exact replica of professional practice. A believable question with consequential constraints can be enough. Use local data when appropriate, clearly label simulated data, and check safety, accessibility, privacy, and disciplinary accuracy before classroom use.