Aligned Standard

M.EE.5.OA.3: Identify and extend numerical patterns.

Grade Level Standard

This is aligned with the following California State Standards:

  • 5.OA.3 - 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.

Linkage Level Descriptions

Initial Precursor

Group together objects by attribute values such as shape or size (e.g., group together a square, a rectangle, and a rhombus, as they all have four sides). Contrast or distinguish objects based on attributes such as shape, size, texture, and numerical pattern. Order objects by following a specific rule (e.g., arrange three objects with different sizes from the smallest to largest).

Distal Precursor

Recognize patterns (or cycles) that exist in nature (e.g., seasons occur in a pattern, day and night occur in a pattern) or in everyday life (e.g., music, P.E., and art classes occur in a pattern in school).

Proximal Precursor

Recognize a repeating pattern as a pattern that has a core unit repeated over and over (e.g., 1, 1, 2, 1, 1, 2...). Determine the core unit in a pattern that repeats over and over again. Recognize a growing pattern as a pattern that increases (e.g., 3, 6, 9, 12...) and a shrinking pattern as a pattern that decreases (e.g., 12, 10, 8...). Identify the pattern rule in growing and shrinking patterns by determining how each step in a pattern differs from the preceding step.

Target

Communicate the next term in a repeating, growing, and shrinking pattern, consisting of numerals or letters, by recognizing the core unit or the pattern rule and applying it to the pattern (e.g., the pattern rule in the pattern 3, 6, 9, 12... is add 3, so the next term in the pattern is 12 + 3 equals 15).

Successor

Predict an element in a repeating, growing, and shrinking pattern by analyzing a given pattern, determining its core unit or the pattern rule, and applying it beyond just the next term (e.g., the pattern rule in the pattern 3, 6, 9, 12... is add 3, so the sixth term in the pattern equals 18).