By the end of grade three, students deepen their understanding of place value and their understanding of and skill with addition, subtraction, multiplication, and division of whole numbers. Students estimate, measure, and describe objects in space. They use patterns to help solve problems. They represent number relationships and conduct simple probability experiments.

• 1.0 Students make decisions about how to approach problems:

  1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.

  1.2 Determine when and how to break a problem into simpler parts.

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• 2.0 Students use strategies, skills, and concepts in finding solutions:

  2.1 Use estimation to verify the reasonableness of calculated results.

  2.2 Apply strategies and results from simpler problems to more complex problems.

  2.3 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.

  2.4 Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions with evidence in both verbal and symbolic work.

  2.5 Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy.

  2.6 Make precise calculations and check the validity of the results from the context of the problem.

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• 3.0 Students move beyond a particular problem by generalizing to other situations:

  3.1 Evaluate the reasonableness of the solution in the context of the original situation.

  3.2 Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems.

  3.3 Develop generalizations of the results obtained and apply them in other circumstances.

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