Problem
Reasoning · Grade 2-2 Time Zones and the Calendar
Anchor April 1 from the fragment
The 3rd is Tuesday, so two days back April 1 is Sunday.
Reading dates off a calendar and stepping a day at a time is everyday time sense a young student already has.
3.MD.A.1Draw A DiagramMarch 1: count backwards from April 1
March has 31 days: 31 = 4×7 + 3, three back from Sunday is Thursday.
Splitting 31 into 4 sevens plus 3 is just dividing-with-remainder thinking, and the 4 whole weeks change nothing about the weekday.
3.NBT.A.2Look For A PatternStepping back 31 days moves the weekday back only 3, because the 4 whole weeks inside 31 change nothing.
Why?
Splitting 31 days into 4 sevens and a leftover 3 is the only way it can be split, and the leftover is what is really being asked for.
Why?
The weekdays repeat every seven days, so a whole week of stepping lands you back on the very same weekday.
May 1: count forward from April 1
April has 30 days: 30 = 4×7 + 2, so May 1 is Tuesday.
Only the leftover 2 days after the whole weeks matter, so the weekday slides forward just two spots.
3.NBT.A.2Look For A PatternMay 5 from May 1
Four days on, May 5 is Saturday.
Within a single week the days just go in order, so stepping forward four days from Tuesday lands on Saturday.
3.MD.A.1Look For A PatternJune 1: count forward from May 1
May has 31 too: 31 = 4×7 + 3, so June 1 is Friday.
The same 'drop the whole weeks, shift by the leftover' trick carries the weekday from month to month.
3.NBT.A.2Look For A PatternJune 6 from June 1
Five days on, June 6 is Wednesday.
Stepping forward five days from Friday rolls past the weekend and lands on Wednesday.
3.MD.A.1Look For A PatternDays of the week repeat every 7, so just throw away the whole weeks and shift by the leftover days. That is Grade 3 counting you already know!
- Anchor April 1 from the fragment
- March 1: count backwards from April 1
- May 1: count forward from April 1
- May 5 from May 1
- June 1: count forward from May 1
- June 6 from June 1