CPM Glossary

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Make sense of problems and persevere in solving them

Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. 

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.

Math Chat

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.

  • Display posters with one topic or concept per poster.

  • Student has one writing utensil.

  • Silently, Student (1) circulates to each poster, writing a brief note or explanation on each one.

  • After rotation is complete, students return to seats.

Math Notes

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

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