Increasing and Decreasing Patterns with Tables and Charts

Warm-up

Fish stock data: a lake had 8,400 fish. Each year, 1,200 are removed. Show the table: year 0=8400, year 1=7200, year 2=6000... What is the rule? (Subtract 1,200.) In what year will there be no fish? (Year 7: 8400 - 7x1200 = 8400 - 8400 = 0.)

Explore

Pattern investigation: each group receives a real-world data scenario (fish stocks, tree growth, population change). They build a table of values, identify the rule, extend the table 3 more terms, and answer the question: when does the value first exceed/fall below a given target?

Consolidate

Practice

Students build tables for 3 real-world scenarios, identify rules, predict terms 10 and 20, and write one sentence about what the prediction means in context. Exit ticket: what is the 15th term in a pattern starting at 3, adding 7 each step?

Exit ticket

Students build tables for 3 real-world scenarios, identify rules, predict terms 10 and 20, and write one sentence about what the prediction means in context. Exit ticket: what is the 15th term in a pattern starting at 3, adding 7 each step?