



Mostly familiar mathematics  Some unfamiliar mathematics 
Sample problems in text  Guiding questions in text 
Sample solutions in text  Student solutions in notes and summaries 
Following someone else's reasoning  More independent sense making 
Homework Assignment 
Homework Assignment 
Usually numerical or short answer  Sometimes short, often more lengthy answers 
Some symbolic work or algorithm demonstrated  Symbolic or graphical/tabular evidence, accompanied by an explanation 
Rarely a check  Reflection on whether answer is reasonable and supported by evidence 
Problems are typically divided into sections: "A" questions are designed to be almost identical to the examples demonstrated; "B" questions are designed to be more complex examples; "C" questions are often applications.  Problem sets are labeled On Your Own: Application tasks provide opportunities for students to use and strengthen their understanding of the ideas they have learned in the lesson. Connections tasks help students to build links between mathematical topics they have studied in the lesson and to connect those topics with other mathematics that they know. Reflections tasks provide opportunities for students to reexamine their thinking about ideas in the lesson. Extensions tasks provide opportunities for students to explore further or more deeply the mathematics they are learning. Review tasks provide opportunities for students to review previously learned mathematics and to refine their skills in using that mathematics. 
For evidence to support, see Research
on Learning.
For specific organization tips, see CPMP
Classrooms and Using the Math Toolkit.