Florida B.E.S.T. MA.5.AR.3.1

Math5th GradeAnalyze patterns and relationships between inputs and outputs.

The Standard

Given a numerical pattern, identify and write a rule that can describe the pattern as an expression.

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

Teacher's field guide

What This Standard Means

What Students Need to Do

Students use term numbers as inputs and pattern values as outputs. They determine how each output depends on n and represent that relationship with an expression.

What Mastery Looks Like

A student can write an expression such as 4n + 3 for a pattern that begins 7, 11, 15, 19. They can test the expression with several term numbers and explain each number in it.

Common Misconceptions

Students may write a step rule, such as “add 4,” instead of an expression using the term number. They may confuse the term number with the term value or miss an added constant.

How to Assess It

Give the pattern 7, 11, 15, 19. Ask: “Let n be the term number. Write an expression for any term, then find term 10.”

Lesson moves

Ways to Teach It

  1. Build the first four terms with counters, label each term number, and record how the counter total depends on n.

  2. Ask students to explain why “add 4” describes movement between terms but does not give any term directly.

  3. Give pairs a deck of sequence cards and expression cards to match, then require them to verify two terms.

  4. Track a $5 starting balance that grows by $3 weekly, make a table, and write the balance as an expression using n.

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