Subject Enrichment Activity: The Mathematics of Time
Name of Student: ________________________
Class & Section: 8 ___&_____________________
Date: ________________________
Subject: Mathematics
Topic: Application of Operations in Real-Life Scenarios (Time Conversion)
I. Learning Objectives
This activity will help the learner to:
Apply mathematical operations to convert between units of time (years, days, hours, seconds).
Develop and apply estimation skills to verify the reasonableness of an answer.
Solve a real-life problem involving date of birth calculation.
Enhance logical reasoning and problem-solving abilities.
II. The Main Activity: Roxie's Age Riddle
Read the following conversation between Estu and Roxie and answer the questions that follow.
The Conversation:
“How old are you?” asked Estu.
“I completed 13 years a few weeks ago!” said Roxie.
“How old are you?” asked Estu again.
“I’m 4840 days old today!” said Roxie.
“How old are you?” asked Estu again.
“I’m ______ hours old!” said Roxie.
Part A: Estimate Before You Calculate! (Thinking Skills)
Before you find the exact number, make a smart guess.
We know 1 day = 24 hours.
Roxie is about 4840 days old.
So, her age in hours will be roughly 4840 multiplied by 24.
My Estimate:
I know 5000 days would be 5000 × 24 = 1,20,000 hours.
Since 4840 is a little less than 5000, my estimate for Roxie's age in hours is about ______________ hours.
Part B: Find the Exact Number (Calculation)
Now, calculate the exact number of hours Roxie is old.
Number of days = 4840
Number of hours in one day = 24
Therefore, total hours = Number of days × 24
My Calculation:
4840 × 24 = ?
Show your steps here:
Answer: Roxie is 1,16,160 hours old today.
Part C: Estu's Date of Birth (Problem Solving)
Estu says, “I am 4070 days old today. Can you find out my date of birth?”
(Assume today’s date is 1st September, 2025)
Steps to find the Date of Birth (DOB):
1. We need to subtract 4070 days from today's date.
2. First, let's convert days into approximate years to get an idea.
4070 days ÷ 365 days/year ≈ ? years
Calculation: ____________________ ≈ 11 years and ~5 months.
(This tells us Estu's DOB should be around early 2014.)
3. Now, let's calculate the exact date.
Start from today: 1st September, 2025
Subtract the number of days.
My Calculation for Estu's Date of Birth:
(Hint: You can calculate backwards by subtracting years first and then the remaining days.)
Total days to subtract = 4070
Number of years: 4070 ÷ 365 = 11 years and 55 days. (Since 11 × 365 = 4015 days. 4070 - 4015 = 55 days remaining).
Now, subtract 11 years from 2025: 2025 - 11 = 2014.
We are left to subtract 55 days from 1st September 2014.
Go backwards from September 1st, 2014:
August has 31 days. So, 1st Sept - 1 day = 31st August 2014. We have 54 days left.
Subtract August's 31 days: 55 - 31 = 24 days left to subtract.
Now we are at the end of July 2014. Subtract 24 more days: 31st July - 24 days = 7th July 2014.
Final Answer: Estu's date of birth is 7th July, 2014.
Part D: The Million Second Mark (Application)
“If you have lived for a million seconds, how old would you be?”
1 million = 10,00,000 seconds.
1 minute = 60 seconds
1 hour = 60 minutes = 3600 seconds
1 day = 24 hours = 86,400 seconds
My Calculation:
To find the number of days, divide the total seconds by the number of seconds in a day.
Age in Days = 10,00,000 ÷ 86,400
Calculation: ____________________ ≈ ?
Answer: I would be approximately 11.57 days old. This is about 11 days and 14 hours old.
III. Creative Extension: My Time Capsule
Imagine you are creating a time capsule to be opened on your next birthday.
1. Calculate your exact age today in:
Days: ____________________
Hours: ____________________
Minutes: ____________________ (Challenge!)
2. Write one mathematical goal you have for the next year.
Example: "I will learn the table of 19."
_________________________________________________________________
3. Draw one thing you would put in your time capsule that represents you today.
(Draw in the box below)
[ ]
No comments:
Post a Comment