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Florida Grade 5 Math · Algebraic Reasoning

MA.5.AR.3.2: Input-output tables

What this Grade 5 benchmark means, worked examples, common mistakes, and a free printable worksheet.

Created by a Florida mom · Published by Tropical Learning LLC

Download Free Worksheet (PDF)See worked examples

What Is Benchmark MA.5.AR.3.2?

In Grade 5, students use a given rule to fill in a two-column table of inputs and outputs, such as "multiply by 3, then add 2."

Each input goes through the same rule to make its output. For two-step rules, the order of the steps matters.

Official benchmarkGiven a rule for a numerical pattern, use a two-column table to record the inputs and outputs.

On the FAST test: part of the Grade 5 reporting category Algebraic Reasoning, which is about 23–29% of the test.

Worked Examples

Worked Example 1

A Two-Step Rule

Rule: multiply by 3, then add 2. Inputs: 1, 2, 3, 4
  1. 11 × 3 + 2 = 5.
  2. 22 × 3 + 2 = 8.
  3. 33 × 3 + 2 = 11.
  4. 44 × 3 + 2 = 14.
Answer: Outputs: 5, 8, 11, 14

Worked Example 2

Working Backward

Rule: multiply by 3. Output: 27. What is the input?
  1. 1Undo the rule: divide by 3.
  2. 227 ÷ 3 = 9.
Answer: 9

Common Mistakes to Watch For

Doing the steps in the wrong order

Wrong:Rule: subtract 3, then multiply by 2. Input 5 → 7

Subtract first: 5 − 3 = 2, then multiply: 2 × 2 = 4.

Using the output pattern instead of the rule

Wrong:Outputs 5, 8, 11 → next output is 13

Apply the rule to the next input: 4 × 3 + 2 = 14.

Helpful Math Tip

Say the rule out loud for each input, like "5, subtract 3 is 2, times 2 is 4." Saying each step prevents skipping one.

Related Grade 5 Skills

MA.5.AR.3.1

Rules for number patterns

MA.5.GR.4.2

Coordinate plane problems

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Independent Educational Platform. FastChomp is published by Tropical Learning LLC and is not affiliated with, sponsored by, or endorsed by the Florida Department of Education. FAST and Star assessment names are referenced for informational purposes only. FastChomp practice questions are original educational materials, not official Florida FAST assessment questions.