Florida B.E.S.T. MA.912.LT.1.2

MathGrades 9–12Apply recursive methods to solve problems.

The Standard

Solve problems involving recurrence relations.

Florida B.E.S.T. Standards for Mathematics

Teacher's field guide

What Students Need to Do: Students use a starting value and a rule based on earlier terms to find later values. They also create recursive rules for repeated processes and use them to solve problems.
What Mastery Looks Like: Students identify the starting value, apply the rule in the correct order, and calculate requested terms accurately. They can write a recurrence from a situation and explain what each term represents.
Common Misconceptions: Students often start at the wrong index or use the recurrence without an initial value. They may confuse a recursive rule with an explicit formula. They also apply percent change and added amounts in the wrong order.
How to Assess It: Exit ticket: An account starts with $200, earns 2% monthly, then receives a $25 deposit. Write a recurrence and find the balance after three months.

Lesson moves

Build a growing tile pattern, record each stage in a table, and write a recurrence that generates the number of tiles.
Ask students to explain how the initial value and recursive rule work together to determine every later term.
Give pairs cards showing sequences, starting values, and recursive rules, then have them match each sequence to its rule.
Model a savings account with monthly interest and deposits, then use a spreadsheet to calculate balances month by month.

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