Model Addition and Subtraction as Number-Line Jumps
Mark the supplied start, move in the stated direction by the stated amount, and record the end.
About 15 minutes, plus any extended practice
Supplied materials
- Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
- Supplied worked-case record: Start at 28 and subtract 13.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
A number line measures position from zero using equal intervals. Addition moves right and subtraction moves left. Jumps can be split into tens and ones while preserving the total distance. The start label is a position, not a jump itself.
Mark the supplied start, move in the stated direction by the stated amount, and record the end. Split a long move into tens and ones if useful. Check the move by taking the inverse jump back to the start.
Use equal intervals on the line. Subtraction moves left on a usual increasing number line. Draw arrows labeled with their direction and number of intervals.
- Draw arrows labeled with their direction and number of intervals.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Mark the supplied start, move in the stated direction by the stated amount, and record the end.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
Start at 28 and subtract 13. Move ten left to 18, then three left to 15. The endpoint is 15. A rightward jump of thirteen returns to 28, checking both distance and direction. Moving right initially would model addition instead. Use equal intervals on the line. Subtraction moves left on a usual increasing number line. Draw arrows labeled with their direction and number of intervals.
Check your reasoning
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Helpful tips
- Use equal intervals on the line.
- Subtraction moves left on a usual increasing number line.
See the answer and explanation
21
A leftward fourteen-unit jump subtracts fourteen. The result is 21.
Take it further
Start at 46 and move right 27. Expected endpoint: 73.
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More practice: try new cases
Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.
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Check the subject sources
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