Function table
Addition and subtraction in-out boxes
Apply a given addition or subtraction rule, then infer a hidden rule from three complete pairs. Fourteen tables mix vertical and horizontal layouts.
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Decimal addition and subtraction in-out boxes
Track one constant change through fourteen decimal tables. Choose tenths or hundredths, apply visible rules and infer hidden rules from complete pairs.
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Use the given rule in the first eight tables. In the remaining six, compare the complete pairs to find the rule and the missing output.
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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
Use place value to calculate and identify a fixed decimal change without dropping the selected precision.
Worked example
A table shows 24.70 → 28.95 and 31.20 → 35.45. What output matches 40.05?
44.30
Each output is 4.25 more than its input. Add 4.25 to 40.05, preserving hundredths: 40.05 + 4.25 = 44.30.
Teaching notes
Make the practice count
- Tenths use inputs from 20.0 through 49.9 and constants from 1.0 through 9.9. Hundredths use 20.00 through 49.99 and 1.00 through 9.99.
- Keep trailing zeros when they show the selected place value. For example, 44.30 communicates hundredths even though it equals 44.3.
- English worksheets use a decimal point. The other available worksheet languages use a decimal comma.
- Check a hidden rule with more than one pair, especially when a subtraction requires regrouping across the decimal point.
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