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Grades 6–7MathRatio and ProportionLesson 2 of 4Ages 11–13

Years 7–8 in England and Wales · Cambridge Lower Secondary Stages 7–8 · IB MYP 1 to MYP 2, ages 11–13

Who walks fastest?

Students time themselves walking 20 m and count their steps, then work out metres per second, steps per second and metres per step. The surprise: the walker who takes the most steps per second is often not the fastest. Students explain rates and unit rates, compare them, and convert metres per second to kilometres per hour.

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First page of the Who walks fastest? teacher guide
Two walkers on a hallway course between yellow start and finish lines, one taking short steps and one taking long steps, with their footprints behind them and a stopwatch on the wall.Preview · the opening mission

Read this to the class:

The school is planning a walking club, and the gym teacher wants to put the walkers into groups by speed. Sam said, "Easy: count how many steps everyone takes in a minute. Most steps means fastest." Ana said, "People with short legs take more steps. That doesn't make them faster." Your team's job: measure everyone's walking speed and steps, and find out which number really tells you who is fastest.

Teams of three, with jobs that rotate after each walk: Walker (walks the course at a normal, steady pace), Timer (starts on "go" and stops when the walker's front foot crosses the finish), Step Counter (counts every step out loud).

Look inside the PDF

Sample pages, stamped “preview”. The download is the clean, full lesson.

Teacher guide, page 1
Inside: the lesson steps
Student sheet, ready to copy

In the full lesson PDF

7 printable pages

  • Predict (5–10 min)
  • Hunt (20 min)
  • Reveal (10–15 min)
  • Act (10 min)
  • Background for the teacher
  • Assessment
  • Student sheet
  • Worksheet: Label it
  • Worksheet: Try it at home

On the student sheet

  • My prediction
  • Our walks (20 m course)
  • What did we find?
  • Our advice for the gym teacher
  • Exit ticket
  • Label it
  • Try it at home

US Letter, prints cleanly in black and white. The student sheet is on its own page, ready to photocopy.

Free with an account (any 3 lessons), or US$19 for all 4 lessons in this unit.

What students show by the end

  • Calculates a unit rate
  • Compares with unit rates
  • Explains speed and steps

From the lesson’s rubric, which scores each one as not yet, getting there or got it.

Questions teachers ask

How long does “Who walks fastest?” take?

50–60 min. Group size: teams of 3.

How much prep does it need?

15 minutes: in a hallway, gym or schoolyard, measure a straight 20 m (65 ft 7 in) course with a measuring tape and mark the start and finish with tape, chalk or cones. Leave 3 m after the finish to slow down. Each team needs a stopwatch or a timer app. Calculators help for the division.

What materials do I need?

Measuring tape, 20 m (or a metre stick and patience); tape, chalk or 2 cones for the start and finish lines; stopwatch or timer; calculator. Cost: free with a measuring tape and timers you already have.

Which curriculum standards does it cover?

Common Core Math (US): 6.RP.A.2 and 6.RP.A.3.

What’s in the lesson PDF?

A teacher guide that walks you through predict, hunt, reveal, act, background for the teacher and assessment, then a student sheet (“My prediction”, “Our walks (20 m course)”, “What did we find?”, “Our advice for the gym teacher”, “Exit ticket”, “Label it” and “Try it at home”) on its own page, ready to photocopy. It’s US Letter and prints cleanly in black and white.

Can I try it for free?

Yes. A free account includes any 3 full lessons of your choice, and this can be one of them. After that, this unit is US$19 for all 4 lessons, yours to keep, or every lesson is US$199 a year.