Grade 8 · lesson 2 of 4

Express a fictional plan change as a percentage

Express a fictional plan change as a percentage

About 18 minutes, plus any extended practice

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Supplied materials

  • Paper or a text document; all cases below are original fictional learning inputs.
  • An adult may read aloud; drawing or spoken answers are valid. No personal health information or physical performance is required.
  • The separate worked case gives newMinutes=25, oldMinutes=20. Compute(new−old)/old×100 using the original duration as denominator. First identify the quantities and keep their units consistent. The calculation is (25-20)/20*100=25 percent change. Round to six decimal places where needed. That result answers this supplied planning question only. It does not establish what a real person did, diagnose a condition or prove physical skill. Compare the units with the question before accepting a number.
  • Fictional case 1: newMinutes=12, oldMinutes=10. What is the modeled result using the stated method?
  • Fictional case 2: newMinutes=30, oldMinutes=25. What is the modeled result using the stated method?
  • Fictional case 3: newMinutes=18, oldMinutes=15. What is the modeled result using the stated method?
  • Fictional case 4: newMinutes=24, oldMinutes=20. What is the modeled result using the stated method?
  • Fictional case 5: newMinutes=15, oldMinutes=12. What is the modeled result using the stated method?
  • Fictional case 6: newMinutes=35, oldMinutes=28. What is the modeled result using the stated method?

Learn the idea

A relative change uses the old value as the denominator. A five-minute increase means different percentages when the starting plan is ten versus twenty minutes. The percentage describes the supplied change; it is not a safe-progression prescription.

Subtract old from new, divide by old and multiply by one hundred. Keep both the absolute and relative change when explaining. A claim that any fixed percentage prevents injury would exceed this calculation and the supplied evidence.

Use fictional schedules only. No physical test, wearable device or personal fitness record is needed. A plan can be reduced or adapted for access and support. Actual safety depends on more than duration and requires appropriate real-world oversight.

  1. Mark the facts or constraints in the supplied case.
  2. Apply the method explained above; draw a sequence, table or decision map.
  3. Compare your result with the worked solution and explain the difference.
  4. Complete the new cases, then check the changed-case extension.
Worked example

See the method in action

The separate worked case gives newMinutes=25, oldMinutes=20. Compute(new−old)/old×100 using the original duration as denominator. First identify the quantities and keep their units consistent. The calculation is (25-20)/20*100=25 percent change. Round to six decimal places where needed. That result answers this supplied planning question only. It does not establish what a real person did, diagnose a condition or prove physical skill. Compare the units with the question before accepting a number.

Your turn

Check your reasoning

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Helpful tips
  • Relative increase uses the original value, not the new value.
  • A percentage calculation is not a safe training limit or injury guarantee.
Express a fictional plan change as a percentage: Fictional case 1: newMinutes=12, oldMinutes=10. What is the modeled result using the stated method?

Feedback appears here after you check. This is practice, not a graded school assessment.

See the answer and explanation

20 percent change

Compute(new−old)/old×100 using the original duration as denominator. With newMinutes=12, oldMinutes=10, calculate (12-10)/10*100=20 percent change. Results are rounded to six decimal places where needed. This is a supplied model, not a personal health assessment.

Take it further

Changed case: newMinutes=22, oldMinutes=20. Show the operation. Expected: (22-20)/20*100=10 percent change; round to six decimal places where needed, retain model limits and explain the units.

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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.

More practice: try new cases
1. Express a fictional plan change as a percentage: Fictional case 2: newMinutes=30, oldMinutes=25. What is the modeled result using the stated method?
Need a hint?
  • Relative increase uses the original value, not the new value.
  • A percentage calculation is not a safe training limit or injury guarantee.
2. Express a fictional plan change as a percentage: Fictional case 3: newMinutes=18, oldMinutes=15. What is the modeled result using the stated method?
Need a hint?
  • Relative increase uses the original value, not the new value.
  • A percentage calculation is not a safe training limit or injury guarantee.
3. Express a fictional plan change as a percentage: Fictional case 4: newMinutes=24, oldMinutes=20. What is the modeled result using the stated method?
Need a hint?
  • Relative increase uses the original value, not the new value.
  • A percentage calculation is not a safe training limit or injury guarantee.

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Check the subject sources

These LifeStarter passages, scenarios and exercises are authored for this Academy with AI assistance and review. External resources keep their publishers’ terms. A grade label suggests a starting level; it does not establish alignment with your school’s complete requirements.