Repeating Cycle Patterns
A pattern that repeats with a fixed period lets you find a far-off term using its position within the cycle (remainder on dividing by the period). Learners use weekday and shape/color cycles, repeating clock times, and number-line intervals. Periodicity plus remainder reasoning answers 'what is the Nth item' without listing all.
grade 2–4 MDNBTOA Look for a PatternMake a Systematic List
Progression (6)
2-2 1. Weekdays repeat every seven days 2.NBT.A.2
2-2 2. Find the rule of changing clock times 4.OA.C.53.MD.A.1
2-2 3. Find shape and color repeats separately 4.OA.C.5
2-2 4. Use the seven-day weekday cycle 4.OA.C.5
4-1 5. Find one tick interval, then read the value 4.NBT.A.2
4-1 6. Locate and compare numbers on a number line 4.NBT.A.2