Florida B.E.S.T. MA.912.AR.10.1
The Standard
Given a mathematical or real-world context, write and solve problems involving arithmetic sequences.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students represent a pattern with a constant change using a list, table, graph, or equation. They use the model to find a term, determine its position, or solve for an unknown value.
What Mastery Looks Like
- Students identify the first term and common difference from a context, table, graph, or list. They write an explicit or recursive rule, find requested terms, and explain what the values mean in context.
Common Misconceptions
- Students often use n instead of n minus 1 in an explicit rule. They may mistake a constant difference for a constant ratio or lose the sign when terms decrease. Some also confuse the first term with the common difference.
How to Assess It
- Give this exit ticket: “A theater has 18 seats in row 1 and 3 more seats in each new row. Write a rule and find the number of seats in row 25.”
Lesson moves
Ways to Teach It
Use linking cubes to build figures with 4 more cubes each stage, then record term numbers, totals, and the common difference.
Ask students to compare a savings plan with $20 initially and $5 weekly to its equation, then explain what each number means.
Run a card sort matching context cards, tables, graphs, recursive rules, and explicit rules for the same arithmetic sequences.
Analyze a phone battery losing 7 percentage points hourly, and decide when the model stops making sense in the real world.
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Printable MA.912.AR.10.1 Worksheet
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Related Standards
- MA.912.F.3.3
Solve mathematical and real-world problems involving functions that have been combined using arithmetic operations.
- MA.912.AR.10.2
Given a mathematical or real-world context, write and solve problems involving geometric sequences.
- MA.912.AR.10.5
Given a mathematical or real-world context, write a sequence using function notation, defined explicitly or recursively, to represent relationships between quan...
- MA.912.AR.10
Solve problems involving sequences and series.
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