Here is one you can do together.
Over the years I have found adults, as well as children, find telling the time challenging; whether it is on a digital or an analog watch or clock.
Finding ways to investigate time can sometimes be pretty boring, as they tend to be problems that relate to working with train timetables and working out the differences in time on two clock faces.
Have a go at this one. It practices the skill of telling the time with a digital clock and applying knowledge of 24 hour time.
Question : Can you reflect a 24-hour digital time to produce the same time in the reflection more than once?
Aim
The aim of the activity to apply your knowledge of 24 hour time using the digital time while visualising mathematical contexts and to apply a logical way to check all solutions that have been found.
Materials
Paper
Pen or pencil
Mirror
Digital watch or clock
Read through the examples carefully before you start.
Look at the time on this digital clock:
Place it on top of a mirror and look at its reflection:
The reflection displays a different time.
Now look at this digital clock…
Imagine that this clock stands on the mirror to make a reflection.
It displays the same time!
Challenge:
1. How many times in a day does the reflection display the same time?
2. Investigate what happens if you place the mirror to the right of the clock, like this:
3. How many times throughout the day does this reflection display the same time?
HINT: Think about which digits cast the same reflection? Does it matter where they appear in the sequence of four digits that make up the time?
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