Comprehensive Mathematics Instruction (CMI) Framework
SOLIDIFY UNDERSTANDINGThe goal of Solidify Understanding is to examine and extend student ideas, strategies, and representations, which leads to a development of concepts, algorithms, and tools.
Purpose Statement (what drives the lesson)
In the context of ______(description of the task) students will examine and extend: 1) the idea
that.…(in order to make it more conceptual), 2) the strategy for.…(in order to make it more algorithmic), 3) the representation.…(in order to use it
as a tool for.…) relative to ______(specific mathematical goal).
LAUNCH / EXPLORE / DISCUSS
What ideas, strategies, and/or representations will be examined or extended?
TASK (string of related problems, or string of related questions, or string of related tasks):
How will I engage students in the launch?
What background knowledge is necessary for students to successfully engage in the task?
What materials and/or manipulatives will students need for this task? / What will I be looking for as students explore the task?
· Ideas moving to Concepts
· Strategies moving to Algorithms
· Representations moving to Tools
What questions will I use to help students to…
· Engage in the task
· Prompt, clarify, guide, scaffold, probe, and/or connect mathematical thinking
· Expose or eliminate misconceptions
What student grouping will I use (individuals, partners, small groups)? / What anticipated solutions will I ask to be shared and in what order? What justification for solutions do I expect from students?
· What idea will become a concept?
· What strategy will become algorithmic?
· What representation will become a tool?
What specific and explicit connections do I want students to make between ideas, strategies, and/or representations?
In what way might I use direct instruction and/or language, conventions, and symbols of mathematicians?
ERASE INFORMATION IN CELLS AS YOU INSERT YOUR LESSON PLAN INTO THE TEMPLATE.