In Pattern Recognition topic, 9th Grade students will learn how to spot structure in sequences and use that structure to predict and justify what comes next. Students compare constant change, repeated change, and growth that speeds up. They write rules using tables and expressions and test rules on multiple terms.
Students identify arithmetic and geometric patterns using differences and ratios. They build term tables, write explicit rules, and compare growth rates. Students learn to test a rule beyond the first few terms and explain why it works. They also connect special sequences like squares and cubes to algebra structure.
1. Sequence: 5, 9, 13, 17, ____. What is the next term?
A. 19
B. 21
C. 22
D. 25
Pattern thinking supports functions, graphing, and algebra shortcuts. Students learn to justify conclusions, not only compute. This builds confidence when problems look unfamiliar.
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