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Mastery Over Time
CPM's Mixed, Spaced Practice provides students an opportunity to achieve conceptual understanding over time. Students must have the opportunity to engage meaningfully with and make sense of concepts before they are expected to have mastery.
Mode of Instruction: Independent/Teacher-led Purpose: Silent reflection
Objective: To establish mathematics goals to focus learning, students silently contemplate topics that generate ideas within learning progressions. Teacher observes to make instructional decisions.
Students participate in the silent activity to reflect, summarize ideas, generate ideas, assess learning, or solve problems. Display posters with one topic or concept on each poster. Students use a writing utensil and circulate to each poster. Student (1) adds one brief note or explanation to the poster. Time for activity varies depending on the topic. You may want to consider using a timer to help pace the time at each poster.
Appearing routinely throughout the text, Math Notes consolidate core content ideas, provide definitions, explanations, examples, instructions about notation, formalizations of topics, and occasionally interesting extensions or applications of mathematical concepts. These boxes enable students to reference ideas that they missed or have forgotten.
Mathematical Content Outcome 1
Experience team-worthy math problems
Mathematical Content Outcome 2
Work through lessons to understand how the learning progressions support the coherence of the program
Mathematical Content Outcome 3
Identify and provide opportunities for students to make sense of the math goal throughout the lesson
Mathematical Content Outcome 4
Experience how a conceptual understanding of math leads to procedural fluency
Mathematical Content Outcome 5
Understand the use of mathematical strategies, structures and tools to develop conceptual understanding
Mathematical Content Outcome 6
Engage with the opening and closure activities through the chapter snapshot