Grade 5
Course ContentTime
Habari Mwanafunzi! Ready to Become a Master of Time?
Ever wondered why the school bell rings at exactly 8:00 a.m.? Or why a matatu driver knows how long it will take to get from Nairobi to Nakuru? It's all about Time! Time is one of the most important measurements we use every single day. It helps us plan our day, cook ugali for the right amount of time, and catch our favourite shows. Today, we are going to unlock the secrets of time, from reading a clock to solving complex journey problems. Ready? Let's go!
The Building Blocks of Time
Just like we use kilograms for mass and metres for distance, we have special units for time. These are the basic ingredients you need to know. Let's break them down:
- 60 seconds = 1 minute
- 60 minutes = 1 hour
- 24 hours = 1 day
- 7 days = 1 week
- 365 days = 1 year (or 366 days in a leap year!)
Think of it like building a house. Seconds are the small bricks, which make up minutes (a wall), which make up hours (a room), which make up a full day (the whole house!).
Image Suggestion: A vibrant, colourful infographic showing the units of time as building blocks. A tiny block labeled 'Second' builds into a larger 'Minute' block, which builds into an 'Hour' block, and so on, ending with a large 'Year' block. The style should be fun and educational, with Kenyan school-themed illustrations in the background.
The Two Faces of a Clock: 12-Hour vs. 24-Hour Time
In Kenya, you'll see time written in two main ways. It's important to know both!
1. The 12-Hour Clock
This is the clock we see on most walls. It runs from 1 to 12 twice a day. To know if it's morning or evening, we use:
- a.m. (ante meridiem): This is for the morning, from midnight until just before noon. (e.g., 7:00 a.m. is time for school assembly).
- p.m. (post meridiem): This is for the afternoon and night, from noon until just before midnight. (e.g., 9:00 p.m. is news time!).
_.-._
/| |\
/ | | \
/ | | \
| '._.' |
| |
| | -------> 3 o'clock (Could be a.m. or p.m.!)
| . |
| / |
| / |
\/ /
\`. .'/
`'''''`
2. The 24-Hour Clock
This system is used by professionals like pilots at JKIA, in bus schedules (like for Easy Coach), and in official documents. It avoids any confusion between a.m. and p.m. The clock runs from 00:00 (midnight) to 23:59.
- To convert from a.m. time, you just write it as it is (e.g., 9:30 a.m. becomes 0930h).
- To convert from p.m. time, you add 12 to the hour (e.g., 3:00 p.m. becomes 3 + 12 = 15, so it's 1500h).
Real-World Scenario: Your dad gets an M-Pesa message at 1645h. What time is that in the 12-hour system? Simple! Since 16 is greater than 12, we know it's p.m. We just subtract 12 from the hour: 16 - 12 = 4. So, the time is 4:45 p.m. He probably just got paid!
Let's Do the Math! Calculating Time Duration
This is where it gets exciting! Let's calculate how long things take.
Example 1: The School Assembly
The morning assembly starts at 8:05 a.m. and ends at 8:40 a.m. How long did it last?
Step-by-step calculation:
End Time: 8 hours 40 minutes
- Start Time: 8 hours 05 minutes
-----------------------------------
Duration: 0 hours 35 minutes
Answer: The assembly was 35 minutes long. Sawa?
That was easy! But what if you have to "borrow" an hour?
Example 2: The Church Service
A church service begins at 10:45 a.m. and finishes at 1:10 p.m. How long was the service?
First, let's convert 1:10 p.m. to 24-hour time to make it easier: 1310h.
Step-by-step calculation:
End Time: 13 hours 10 minutes
- Start Time: 10 hours 45 minutes
-----------------------------------
Problem! We can't subtract 45 from 10. So, we borrow 1 hour from the 13 hours.
Remember: 1 hour = 60 minutes.
New End Time: (13-1) hours (10+60) minutes --> 12 hours 70 minutes
Now we can subtract:
End Time: 12 hours 70 minutes
- Start Time: 10 hours 45 minutes
-----------------------------------
Duration: 2 hours 25 minutes
Answer: The church service was 2 hours and 25 minutes long.
Time in Motion: The Magic Triangle!
This is super useful for calculating journeys. Meet the Speed, Distance, and Time triangle. It helps you remember the three key formulas.
D
/ \
/ _ \
S x T
- To find Distance (D), cover D: Speed (S) × Time (T)
- To find Speed (S), cover S: Distance (D) ÷ Time (T)
- To find Time (T), cover T: Distance (D) ÷ Speed (S)
Image Suggestion: A fun cartoon drawing of the Speed-Distance-Time triangle. Inside the 'D' section, there's a picture of a road map of Kenya. Inside the 'S' section, there's a speeding matatu (safely drawn!). Inside the 'T' section, there's a clock. The style is bright and memorable for a student.
Example: The Bus Journey to Mombasa
A bus is travelling from Nairobi to Mombasa, a distance of about 480 km. The bus moves at an average speed of 80 km/h. How long will the journey take?
We are looking for Time. Using our magic triangle, the formula is: Time = Distance ÷ Speed
Calculation:
Time = 480 km ÷ 80 km/h
Time = 6 hours
Answer: The journey will take 6 hours (not including the famous stop in Mtito Andei for lunch!).
You've Mastered Time!
Wow, look at you! From seconds and minutes to calculating a long bus journey, you've covered so much. You now have the skills to plan your schedule, understand timetables, and solve real-world math problems.
Remember, time is precious. The more you practice, the faster and more confident you will become. Keep working hard, ask questions, and you'll be the time expert in your class! Kazi nzuri! (Good work!)
Habari Mwanafunzi! Wakati ni Sasa: Let's Master Time!
Have you ever wondered why the school bell rings at a specific time? Or how you know when your favourite show on Citizen TV will start? Or how a matatu driver knows their schedule from Nairobi to Thika? The secret to all of this is TIME! Time helps us organize our day, our lives, and everything around us. Today, we are going on an exciting journey to become masters of time. Tuko tayari? Let's begin!
Part 1: Back to Basics - The Clock is Your Friend
Before we can do complex calculations, we must understand the basic units we use to measure time. Think of them as the building blocks.
- Seconds: The smallest unit we use daily. (Counting: 1... 2... 3...)
- Minutes: Made up of 60 seconds.
- Hours: The big one! Made up of 60 minutes.
So, remember these golden rules:
60 seconds = 1 minute
60 minutes = 1 hour
24 hours = 1 day
We use a clock to see time. You have probably seen two types:
ANALOG CLOCK DIGITAL CLOCK
_.-._ +---------+
.' '. | 10:10 |
/ 12 \ +---------+
| | |
| 9--o--3 |
\ | /
'. _6_ .'
Image Suggestion: A vibrant, colourful photo of a busy street in a Kenyan town like Nanyuki or Eldoret. In the background, there is a large, clear clock tower showing 1:30 PM. People are walking, matatus are visible, and the sun is bright, capturing a slice of daily Kenyan life organized by time.
Part 2: The 12-Hour vs. 24-Hour Clock
In Kenya, we often use Swahili time ("Saa Tatu asubuhi") and the 12-hour clock system. This system uses a.m. (ante meridiem - before midday) for the morning and p.m. (post meridiem - after midday) for the afternoon and night.
- 12 a.m. (Midnight) to 11:59 a.m. (Morning)
- 12 p.m. (Noon) to 11:59 p.m. (Night)
However, for things like flight schedules (at JKIA), bus tickets (like for Easy Coach), and official timings, we use the 24-hour clock. It's much simpler because you don't need a.m. or p.m.!
- The day starts at 0000 hours (midnight).
- Morning hours look the same (e.g., 9:00 a.m. is 0900 hrs).
- For hours after noon, you just add 12! (e.g., 2:00 p.m. is 2 + 12 = 1400 hrs).
Scenario: You get an SMS from Kenya Railways that your SGR train from Nairobi to Mombasa departs at 1500 hrs. What time is that in the 12-hour system?
Solution: Since 15 is greater than 12, we subtract 12. So, 15 - 12 = 3. That means the train leaves at 3:00 p.m. Easy, right?
Part 3: Time Calculations - Let's Do the Maths!
This is where we become true time wizards! We will learn to add, subtract, and convert time.
A. Converting Units of Time
Let's say you watched a football match that lasted 2 hours. How many minutes is that?
We know: 1 hour = 60 minutes
So, 2 hours = 2 x 60 minutes
Calculation:
60
x 2
----
120
----
Answer: The match was 120 minutes long.
Now, let's try going the other way. Your friend tells you they spent 9,000 seconds studying for the KCPE exam. How many hours is that?
Step 1: Convert seconds to minutes (by dividing by 60)
9000 seconds / 60 = 150 minutes
Step 2: Convert minutes to hours (by dividing by 60)
150 minutes / 60 = 2 with a remainder of 30
Calculation:
150 / 60 => 60 goes into 150 two times (60 * 2 = 120)
150 - 120 = 30 (remainder)
Answer: Your friend studied for 2 hours and 30 minutes.
B. Finding Time Duration (Elapsed Time)
Duration is simply how long something takes. Let's say you start your morning prep at 6:15 a.m. and leave for school at 7:05 a.m. How long did it take you to get ready?
We subtract the start time from the end time.
Hours Minutes
7 05
- 6 15
-----------------
Uh-oh! We can't subtract 15 from 5. So, we borrow 1 hour (which is 60 minutes) from the hours column.
Hours Minutes
6 (60 + 05) -> 6 65
- 6 15 -> - 6 15
----------------- ----------
0 50 0 50
Answer: It took you 50 minutes to get ready.
Image Suggestion: A split-screen digital art illustration. On the left, a Kenyan student is on a bus leaving Kisumu at dawn, with the clock showing "07:00". On the right, the same student is arriving in Nairobi with the afternoon sun, and the clock shows "13:45". The style is colourful and optimistic.
C. Calculating Across Midnight
This can be tricky, but we have a simple method. An overnight bus leaves Mombasa at 9:00 p.m. and arrives in Nairobi at 5:00 a.m. the next day. How long was the journey?
Let's use a timeline to help us!
9:00 p.m. ---------> 12:00 a.m. (Midnight) ---------> 5:00 a.m.
(Part 1) (Part 2)
Step 1: Calculate the time from 9:00 p.m. to midnight.
12:00 a.m. - 9:00 p.m. = 3 hours
Step 2: Calculate the time from midnight to 5:00 a.m.
That's simply 5 hours.
Step 3: Add the two parts together.
3 hours + 5 hours = 8 hours
Answer: The journey took 8 hours.
Part 4: Let's Solve a Real-World Problem!
A Farmer's Day: A farmer in Kericho starts picking tea at 0830 hrs. She works for 4 hours and 40 minutes before taking a lunch break. At what time does her lunch break start?
Here, we need to add time. We will add the hours together and the minutes together.
Let's set up the addition:
Hours Minutes
08 30
+ 04 40
-----------------
12 70
Now, we have 70 minutes. But we know that 60 minutes make an hour!
So, we take 60 minutes out of the 70 and add it as 1 hour to the hours column.
70 minutes = 1 hour and 10 minutes
So, our new calculation is:
Hours Minutes
12 70
becomes...
(12 + 1) (70 - 60)
13 10
The time is 1310 hrs.
To convert 1310 hrs to 12-hour time: 13 - 12 = 1.
So, the time is 1:10 p.m.
Answer: The farmer's lunch break starts at 1:10 p.m.
Congratulations!
You have done an amazing job today! We have learned how to read clocks, convert between 12-hour and 24-hour systems, and perform calculations with time. Remember, just like in a race, practice makes you faster and better. Keep an eye on the clock during your day and try to calculate the duration of different activities. You are now a step closer to becoming a true master of time! Hongera!
Habari Mwanafunzi! Welcome to the World of Time!
Have you ever wondered why the school bell rings at exactly 8:00 a.m. for parade? Or why your favourite TV show starts at exactly 7:30 p.m.? Time is all around us! It helps us organise our day, from the moment we wake up to the moment we go to sleep. Today, we are going on an exciting journey to become masters of time. Twende kazi!
Part 1: The Building Blocks of Time
Just like we use metres to measure distance, we use special units to measure time. The most common ones we use every day are seconds, minutes, and hours. Let's see how they relate to each other.
- 60 seconds = 1 minute
- 60 minutes = 1 hour
- 24 hours = 1 day
- 7 days = 1 week
- 365 or 366 days = 1 year
Think about it: boiling water for your morning chai might take a few minutes. Walking to the duka might take 10 minutes. Your class lesson is usually about 40 minutes long! All these are measurements of time.
Real-World Example: Amina is helping her mother cook ugali. She watches the clock. She knows that after the water boils, it takes about 20 minutes of stirring for the ugali to be perfectly cooked. She is using her knowledge of time to prepare a delicious meal for the family!
Part 2: Reading the Clock - 12-Hour vs. 24-Hour Time
In Kenya, we often use two ways to tell the time. It's very important to know both!
The 12-Hour Clock
This is the clock we see on most walls. It uses numbers from 1 to 12. To know if it's morning or evening, we use a.m. (ante meridiem, which means 'before midday') and p.m. (post meridiem, which means 'after midday').
- a.m. is for the time from midnight until just before noon (e.g., 7:00 a.m. when you leave for school).
- p.m. is for the time from noon until just before midnight (e.g., 4:00 p.m. when school ends, or 9:00 p.m. for the KBC news).
_.-'''''-._
/ \
| |
| 12 |
| 11 1 |
|10 2|
|9 <----O----> 3| The time is 3:00
|8 4|
| 7 5 |
| 6 |
| |
\ /
''-.,_.,-''
The 24-Hour Clock
This system is often used in official settings like bus schedules, flight times at JKIA, and in the military. It avoids using a.m. and p.m. The day runs from 00:00 (midnight) to 23:59.
- To convert a p.m. time to 24-hour format, you just add 12 to the hour (unless it's 12 p.m.).
- For example, 3:00 p.m. becomes 15:00 hours (3 + 12).
- And 9:00 p.m. becomes 21:00 hours (9 + 12).
- Morning hours (a.m.) stay the same, just written with four digits. So, 8:30 a.m. is 08:30 hours.
Image Suggestion: An illustration showing two digital clocks side-by-side. The left clock shows '3:30 p.m.' with a sun setting in the background. The right clock shows '15:30' with a caption 'Official Time'. The style should be a clear, colourful educational cartoon for a textbook.
Part 3: Let's Do Some Time Math!
This is where the fun begins! We can add, subtract, and convert time. Vizuri sana!
Converting Units of Time
Let's say a farmer spends 3 hours and 15 minutes weeding his shamba. How many minutes is that in total?
Step 1: We know that 1 hour = 60 minutes.
Step 2: Convert the hours to minutes.
3 hours * 60 minutes/hour = 180 minutes.
Step 3: Add the remaining minutes.
180 minutes + 15 minutes = 195 minutes.
Answer: The farmer spent 195 minutes weeding.
Calculating Duration (How much time has passed?)
This is very useful for figuring out journey times.
Scenario: A matatu from the '2TS Sacco' leaves Nairobi at 10:45 a.m. and arrives in Nakuru at 1:25 p.m. How long did the journey take?
This can be tricky because we are crossing over from a.m. to p.m. The easiest way is to convert to 24-hour time!
Step 1: Convert the times to 24-hour format.
Arrival Time: 1:25 p.m. -> 13:25
Departure Time: 10:45 a.m. -> 10:45
Step 2: Subtract the departure time from the arrival time.
Hours Minutes
13 25
- 10 45
-----------
Step 3: Uh-oh! We can't subtract 45 from 25. We need to "borrow" an hour!
Borrow 1 hour (which is 60 minutes) from the 13 hours.
The hours become 12, and the minutes become (25 + 60) = 85.
Now let's subtract again:
Hours Minutes
12 85 (This is the new arrival time)
- 10 45
-----------
2 40
Answer: The journey took 2 hours and 40 minutes.
Part 4: A Quick Look at Time, Speed, and Distance
Did you know that time is a key ingredient in calculating how fast you are moving? The relationship is simple and very powerful.
The formula that connects them is: Distance = Speed × Time.
This means if you know how long a journey takes (Time) and how fast you were going (Speed), you can figure out the distance you travelled!
Image Suggestion: A vibrant Kenyan scene. A boda boda rider with a helmet is safely riding on a tarmac road. In the background, there's a signpost pointing towards 'Kisumu 15 km'. The image should feel dynamic and sunny, illustrating the concept of travel and distance.
Example: A boda boda rider travels at an average speed of 40 kilometres per hour (km/h). If he rides for 2 hours, how far does he go?
Formula: Distance = Speed × Time
Step 1: Identify the values.
Speed = 40 km/h
Time = 2 hours
Step 2: Put the values into the formula.
Distance = 40 km/h × 2 hours
Step 3: Calculate the result.
Distance = 80 kilometres.
Answer: The boda boda rider travels 80 km. Sawa?
You've Done It!
Hongera! You have learned the basics of time, how to read different clocks, and how to perform important calculations. Time is a skill you will use every single day of your life. Keep practicing these calculations, and soon you'll be able to manage your schedule like a pro. Keep up the great work!
Pro Tip
Take your own short notes while going through the topics.