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Bike Shop 3-5 / Week 06 / Wednesday
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Week 06 Β· Patterns of Motion

Wednesday

Predict many turns
// Measure, find the pattern, predict
⏱ about 15 min

Wednesday: Predict Many Turns

Rocket marks a starting line with tape. "My wheel goes 2 steps in one turn," he says.

"So how far in three turns?"

He starts counting on his fingers, then stops.

Raven smiles. "What do you notice? Is every turn the same?"

Nova hovers over the line. "If each turn is the same, add the same amount each time," she says.

The same every turn

Each turn of a wheel goes the same distance.

That is a pattern we can use.

Two turns go twice as far as one turn.

Three turns go three times as far.

To predict, multiply the distance around by the number of turns.

Turns (made-up wheel, 2 meters per turn)Distance
12 meters
24 meters
36 meters
4?
Made-up wheel: 2 meters per turn. How far in 4 turns? Type the number of meters.
WHY THIS EXERCISEEach turn adds 2 meters, so 4 turns go 8 meters.

Gears and wheels together

A museum scientist shared another real example.

His wheel was 1.5 meters around.

His gears turned the wheel twice for each pedal turn.

So one pedal turn moved the bike 3 meters.

USE THE PATTERN
  • Read the question.
  • Tap your answer.
The museum wheel turns twice. Each turn is 1.5 meters. How far is that?
A made-up wheel goes 20 cm per turn. How far in 3 turns?
Made-up wheel: 15 cm per turn. 2 turns go how many cm?
Made-up wheel: 10 cm per turn. 5 turns go how many cm?
MAKE A PREDICTION
  • ?Roll the wheel and measure.
  • ?Multiply to predict the distance.
  • ?Compare the result to your prediction.
  • ?Choose how many turns to test.
  • ?Measure the distance around the wheel.
WHY THIS EXERCISEMeasure, choose, predict, test, then compare.
Try it
Use your can from yesterday.
Predict how far it will roll in three turns.
Roll it three turns and measure.
Safety first
Roll the can on the floor in a clear space.
Use a can with no sharp edges.
No can? Roll a round marker or a toy wheel.
WhatDistance
My prediction for 3 turns
What I measured

Wonderful predicting! Tomorrow we compare big wheels and small wheels.

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