5.OA.3: Understanding and Graphing Numerical Patterns

Grade: 5th Grade

Domain: OA: Operations and Algebraic Thinking

Standard Description

Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

Domain Description

Using brackets, parentheses or braces in numerical expressions is used to analyze these expressions with their symbols. Expressions can be written to capture computations with numbers and read without calculating. For example, "add 8 and 7, then multiply by 2" could be written as 2 × (8 + 7). Without calculation, one should note that 3 × (18932 + 921) is triple the size of 18932 + 921.

One can create two number patterns using predefined rules. Identifying correlations between corresponding values, constructing ordered pairs from both patterns and plotting these pairs on a graph is part of the process. For instance, start from zero and add 3 to generate one sequence, and for the other, start from zero and add 6. Observe that the values in the second sequence are double those in the first without formal proof.

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