This is a fun and engaging math task that has a low floor and high ceiling. It is well-suited for group work. The n by n by n case option can be used to introduce formulas and algebra to stronger students.
Topic: 3D shapes, Surface Area, Volume
Grade level: 5, 6, 7, 8, 9 (difficulty can be adapted)
Task: Picture a Rubik’s Cube. Now drop it into a can of paint. When the paint is dry, imagine smashing it on the floor and breaking it apart into smaller cubes. How many of the cubes have 1 face covered in paint? 2 faces? 3 faces? 0 faces? Try it with larger Rubik’s cubes too.
1. Student instructions and worksheet
2. Solution and answer key
3. Assessment: includes student self assessment and teacher assessment of task using standards-based grading. Assessment is consistent with core and curricular competencies from British Columbia's redesigned curriculum.