A learner compares repeating patterns by identifying their smallest repeating unit and examining the attributes and order that recur, such as color, shape, size, or number. They determine whether two patterns have the same or different repeat structures, even when different objects are used, and use corresponding positions to explain similarities and differences. The focus is on simple finite patterns and their continuation, not on algebraic formulas, variables, or nonrepeating sequences.
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To compare two patterns:
Example: Are these patterns the same?
Step 1: Find the repeating unit in Pattern A.
Pattern A repeats:
🔴 🔵 | 🔴 🔵 | 🔴 🔵
Its smallest repeating unit is red, blue.
Step 2: Find the repeating unit in Pattern B.
Pattern B repeats:
▲ ▲ ● ● | ▲ ▲ ● ●
Its smallest repeating unit is triangle, triangle, circle, circle.
Step 3: Compare the units.
Pattern A changes after every item:
🔴, 🔵, 🔴, 🔵
Pattern B keeps the same shape for two items before changing:
▲, ▲, ●, ●
The patterns are different. Pattern A has a repeat of 2 items, while Pattern B has a repeat of 4 items.
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