Function table practice

Input-output word problems

Start with six rule tables, then use one complete table from a school, sticker or ticket situation to answer four connected questions.

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Complete six given-rule tables. Read the shared situation and its complete six-pair table, then answer a forward lookup, an inverse lookup, a change question and a rule-choice question.

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One relationship, several pairs

Match each input with its output before calculating. A rule applies to every pair in the same table; it does not describe the gaps between consecutive inputs.

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Learning objective

What this activity builds

Interpret a constant change in context, read a table in both directions and distinguish the rule from a single result.

Worked example

A library adds 4 books to each display. One row shows 9 books before and 13 after. If a display has 18 books afterward, how many were there before?

14 books

The forward rule adds four. To recover a starting amount from the final amount, subtract four: 18 − 4 = 14. Check the matching row in the table.

Teaching notes

Make the practice count

  • The chosen operation and constants apply to the contextual table as well as the six practice tables.
  • Read the two column headings before answering. A question about the starting quantity calls for the input, even when the output is mentioned first.
  • Keep units in a spoken answer so the number remains connected to the story.
  • Compare every rule choice with all six pairs. A choice must describe the forward direction from the first column to the second.

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Math SheetNameScore/ 28TeacherDateInput-output box word problemsComplete the rule tables, then answer four questions about one context.Use the rule to fill every empty output.1. Rule: Add 3InputOutput1720232. Rule: Subtract 4InputOutput81018273. Rule: Add 1InputOutput0428294. Rule: Subtract 2InputOutput91823255. Rule: Add 5Input092529Output6. Rule: Subtract 1Input4102427OutputA club records sticker totals before and after a trade.Before4820212829After812242532337. When Before is 8, what is After?8. When After is 24, what was Before?9. What constant change takes Before to After?10. Which rule describes every pair?A. Subtract 4B. Add 4C. Subtract 5D. Add 5math-sheet.comPage 1 of 1

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