L3 · Converting Hours, Minutes and Seconds
“I can convert between hours, minutes and seconds using the two facts 1 hour = 60 minutes and 1 minute = 60 seconds - multiplying to go to a smaller unit and grouping by 60 to go to a bigger unit.”
Change 3 hours into minutes, and 150 minutes into hours and minutes. Step 1: Hours are the BIG unit, minutes are the SMALL unit. Going big -> small, the number grows: multiply by 60. 3 hours = 3 x 60 = 180 minutes. Step 2: Going small -> big, group by 60. In 150 minutes: 150 / 60 makes 2 whole groups (120 minutes) with 30 minutes left over. Step 3: So 150 minutes = 2 hours 30 minutes. Timeline picture: three hour-blocks, each labelled "60 minutes," make a strip 180 minutes long; below it, a 150-minute strip fills two whole hour-blocks and half of the third. Say it plainly: the number 60 runs this whole lesson. Bigger unit -> smaller unit: multiply by 60. Smaller unit -> bigger unit: make groups of 60.
Why does 2 hours become a BIGGER number (120) when we write it in minutes?
Change 4 hours into minutes. -> 240 minutes (4 x 60)
"125 minutes: two groups of 60 make 120 minutes, with 5 minutes left over. So 125 minutes = ___ hours ___ minutes." -> 2 hours 5 minutes
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