Pendulum Problem
If the
simple pendulum in the picture makes 3 full swings in 1.5 seconds. How many full
swings will it make in 12 minutes?
Solution
Find out how many swings there are in 1 second
(divide):
3 swings/1.5 sec= 2 swings/sec
Find out how many swings in 1 minute (multiply):
There are 60 seconds in a minute
2 swings * 60 sec= 120 swings in 1 minute
Find out how many swings in 12 minutes:
If
there are 120 swings in 1 min, then multiply the number of swings by time
120
swings*12 min= 1440 swings
Therefore, the pendulum makes 1440 full swings
in 12 minutes.
Links
to the Curriculum
The
above problem can link to the overall or specific expectation from grades 6-8.
The problem has to be modified if used for grades 4-5.
·
Grade 4 OE:
demonstrate an understanding of proportional reasoning by investigating
whole-number rates. SE: demonstrate an understanding of simple
multiplicative relationships involving unit rates
·
Grade 5 OE:
demonstrate an understanding of proportional reasoning by investigating
whole-number rates. SE: describe multiplicative relationships between
quantities by using simple fractions and decimals
·
Grade 6 SE:
represent relationships using unit rates
·
Grade 7 OE:
demonstrate an understanding of proportional relationships using percent,
ratio, and rate. SE: demonstrate an understanding of rate as a comparison, or
ratio, of two measurements with different units; solve problems involving the
calculation of unit rates
·
Grade 8 OE:
solve problems by using proportional reasoning in a variety of meaningful
contexts. SE: solve problems involving rates
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