This problem develops the student's understanding of the size of a thousand within the context of time, using their knowledge of the standard units of seconds and minutes. Students should be challenged to estimate a solution, use their multiplicative strategies to solve the problem, and to check their solution with a calculator.
What time is it now? What will the time be in a thousand seconds?
What will the time be in a 1000 minutes? How do you know?
How many seconds are there until (give a time 3 hours 15 minutes later)? How do you know?
Are there more minutes in one day or more seconds in 24 minutes? Show how you know.
Students are likely to use a range of strategies to divide 1000 by 60. For example, they may use reversibility and ask, ? x 60 = 1000, or ? x 6 = 100.
1000 seconds divided by 60 = 16 minutes and 40 seconds. If the students use a calculator to check their solution, they will need to understand how to change 16.66 into minutes and seconds, understanding that 0.66 is the same as 2/3, and that 2/3 of 1 minute is 40 seconds.
Some may double check with a calculator by skip counting in 60s up to 1000. Using this approach they would get to 960 after 16 minutes and have 40 seconds left. So 1000 seconds equals 16 minutes and 40 seconds.
16 minutes and 40 seconds will need to be added to the time noted on the board as the problem is set.
1000 minutes = 16 hours and 40 minutes
3 hours and 15 minutes = 3 x 60 x 60 + 15 x 60 = 11 700 seconds.
There are the same number of seconds in 24 minutes as there are minutes in one day: 1440
Printed from https://nzmaths.co.nz/resource/thousand-seconds at 5:48pm on the 20th January 2021