Florida B.E.S.T. MA.912.LT.1

MA.912.LT.1 is a B.E.S.T. standard. These are the benchmarks under it.

• MA.912.LT.1.1

  Apply recursive and iterative thinking to solve problems.

• MA.912.LT.1.2

  Solve problems involving recurrence relations.

• MA.912.LT.1.3

  Apply mathematical induction in a variety of applications.

01

What Students Need to Do

Students identify a starting value and a rule that uses earlier values to find later ones. They build and interpret recursive sequences to answer questions about patterns and real situations.

02

What Mastery Looks Like

A student can write a correct initial value and rule from a table, pattern, or situation. They can generate requested terms and explain what each value represents.

03

Common Misconceptions

Students often omit the initial value, use the wrong previous term, or confuse a term number with its value. They may use repeated addition when the situation requires repeated multiplication, or vice versa.

04

How to Assess It

Give this exit ticket: A savings account starts at $200 and grows 3% monthly. Write a recursive rule and find the balance after three months.

1. 01

   Give pairs 31 counters, start with one, double each round, record totals, then write the initial value and recursive rule.

2. 02

   Ask, “How can you tell whether a pattern grows by repeated addition or repeated multiplication?” Require examples and recursive rules.

3. 03

   Play Sequence Relay: teams draw a starting value and operation card, generate five terms, then trade lists to infer each rule.

4. 04

   Track a $500 laptop losing 15% of its value yearly, then write a recursive rule and predict its value after four years.

• MA.912.C.3

  Apply derivatives to solve problems.

• MA.912.C.5

  Apply integrals to solve problems.