Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Units of Time: We measure long periods of time using days, weeks, months, and years. Imagine a timeline where year is a long segment made of smaller segments called months, and each month is made of even smaller segments called days.
Days of the Week: There are days in a week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday. On a calendar, these are arranged as headers in a horizontal row, and the dates under each header fall on that specific day.
Months of the Year: A year has months. You can visualize the number of days using your hand knuckles: the 'high' knuckle bumps represent months with days (January, March, May, July, August, October, December), and the 'low' spaces between knuckles represent months with days (April, June, September, November), except for February.
The Special Month (February): February is the shortest month. It has days in a normal year and days in a leap year. This makes the total days in a year either or .
Leap Years: A leap year occurs every years and has days. We can identify a leap year if the year number can be divided by into equal parts. This happens because the Earth actually takes days to orbit the sun, and we combine the four quarters into one extra day.
Reading a Calendar: A calendar is a grid where columns represent days of the week and rows represent weeks. To find a date, look for the month first, then find the number. For example, to find the day for August, locate the number in the August grid and look directly up to the top of that column to see the day name.
Moving Through Dates: To find the date one week after a specific day, you can look at the calendar and move exactly one box down in the same column. Mathematically, this is the same as adding to the current date ().
📐Formulae
💡Examples
Problem 1:
Riya's school closes for winter break on December and reopens on January. How many days is the school closed?
Solution:
Days in December after the : days. Days in January: day (since it reopens on the ). Total days closed = days.
Explanation:
We first find the remaining days in December by subtracting the start date from the total days in the month (). Then we add the days from the beginning of January before the reopening date.
Problem 2:
If today is March, what will the date be after exactly weeks?
Solution:
. So, . Date after weeks = . Since March has days, we calculate: . The date will be April.
Explanation:
We convert weeks into days by multiplying by . Adding this to the current date gives a number larger than the days in the current month, so we subtract the total days of March () to find the date in the next month.