The number line model can also be used to solve a division problem such as 6 ÷ 3 and is represented on the number line by noting how many jumps of three go from six to zero. [Graphic cannot be reproduced.] The number line model above shows two jumps of three between 6 and 0, answering the question of how many jumps of three go from 6 to 0; therefore, 6 ÷ 3 = 2.
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Similar standards in other grades
Numbers can be composed and decomposed using part-part-whole relationships (e.g., 4 can be decomposed as 3 and 1, 2 and 2, 4 and 0). [Graphic cannot be reproduced.]
Operation symbols (+, −) are introduced in grade one.
A certain amount of practice is necessary to develop fluency with computational strategies; however, the practice must be motivating and systematic if students are to develop fluency in computation, whether mental, with manipulative materials, or with paper and pencil.
Composing and decomposing numbers flexibly forms a basis for understanding properties of the operations and later formal algebraic concepts and procedures.
In grade three, students developed an understanding of the meanings of multiplication and division of whole numbers through activities and practical problems involving equal-sized groups, arrays, and length models. In addition, grade three students have worked on fluency of facts for 0, 1, 2, 5, and 10.