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 select appropriate symbols, operations, and properties to represent, describe, simplify, and solve simple number relationships:

  1.1 Represent relationships of quantities in the form of mathematical expressions, equations, or inequalities.

  1.2 Solve problems involving numeric equations or inequalities.

  1.3 Select appropriate operational and relational symbols to make an expression true
  (e.g., if 4 __ 3 = 12, what operational symbol goes in the blank?).

  1.4 Express simple unit conversions in symbolic form
  (e.g., __ inches = __ feet x 12).

  1.5 Recognize and use the commutative and associative properties of multiplication
  (e.g., if 5 x 7 = 35, then what is 7 x 5? and if 5 x 7 x 3 = 105, then what is 7 x 3 x 5?).

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• 2.0 Students represent simple functional relationships:

  2.1 Solve simple problems involving a functional relationship between two quantities (e.g., find the total cost of multiple items given the cost per unit).

  2.2 Extend and recognize a linear pattern by its rules (e.g., the number of legs on a given number of horses may be calculated by counting by 4s or by multiplying the number of horses by 4).

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