1ST GRADE MATHEMATICS • MEASUREMENT AND DATA

Telling Time in Hours and Half-Hours

Learn to read clocks so you always know what time it is!

The Story of Clocks

Have you ever wanted to know when lunch is, or when recess starts? People have always wanted to know what time it is! Long, long ago, before we had clocks, people looked at the sun to guess the time. When the sun was high up in the sky, they knew it was the middle of the day.

Over many, many years, people got smarter about telling time. They made cool tools to help them. Let's see how clocks came to be!

A Very Long Time Ago
People used sundials. A sundial is a flat plate with a stick. The sun makes a shadow, and the shadow shows what time it is!
About 700 Years Ago
The first big tower clocks were made. They had bells that rang every hour so the whole town could hear the time!
About 500 Years Ago
People made clocks small enough to put in a room. These clocks had a round face with numbers and hands that moved — just like the clocks you see today!
About 50 Years Ago
Digital clocks were invented. These clocks show the time with numbers, like 3:00. No hands needed!

Today, we use two kinds of clocks: analog clocks (the round ones with hands) and digital clocks (the ones that show numbers). In this lesson, you will learn how to read both kinds!

Big Ideas About Telling Time

Before we read a clock, let's learn a few important things. These are the big ideas that will help you understand time.

1

Hour Hand

The short hand on an analog clock is the hour hand. It tells you what hour it is. It moves slowly!
2

Minute Hand

The long hand is the minute hand. It tells you the minutes. It moves faster than the hour hand!
3

O'Clock

When the minute hand points straight up at the 12, it is something "o'clock." That means zero minutes!
4

Half Past

When the minute hand points straight down at the 6, it is "half past" the hour. That means 30 minutes!
Key Takeaway
Think of the clock like a pizza! When you see the whole pizza (minute hand at 12), that's the start of a new hour — like getting a whole new pizza. When you eat half the pizza (minute hand at 6), that's "half past" — you're halfway through the hour!

See the Clock Up Close

Let's look at an analog clock really carefully. An analog clock is round. It has numbers from 1 to 12 going around in a circle. It has two hands that move around the circle.

An analog clock showing 3:00 (3 o'clock). The short pink hand points to 3 and the long blue hand points to 12.

Look at the picture above. The short pink hand (the hour hand) points to the 3. The long blue hand (the minute hand) points straight up to the 12. When the long hand points to 12, it means "o'clock." So this clock says 3 o'clock, or 3:00!

Now let's also look at a digital clock. A digital clock is much easier to read because it just shows you the numbers! It uses a colon (that's the two dots) to separate the hour from the minutes. So 3:00 means 3 hours and 00 minutes.

How to Read Time Step by Step

Reading a clock is like a little game. You just follow these steps each time!

Step 1: Find the Short Hand

Look for the short hand. This is the hour hand. What number is it pointing to? That tells you the hour.

Step 2: Find the Long Hand

Now look for the long hand. This is the minute hand. Is it pointing to the 12 or the 6?

Step 3: Say the Time!

If the long hand points to 12, say the hour and then "o'clock." For example, if the short hand is on 7, it is 7 o'clock.

If the long hand points to 6, say the hour and then "thirty" (or "half past"). For example, if the short hand is between 7 and 8, it is 7:30.

Reading Time on a Clock
Hour : Minutes
The hour comes first, then a colon, then the minutes (00 or 30)
O'Clock Times
Long hand on 12 → :00
Examples: 1:00, 2:00, 5:00, 10:00, 12:00
Half-Hour Times
Long hand on 6 → :30
Examples: 1:30, 2:30, 5:30, 10:30, 12:30

Here is something important: at half past (when it is :30), the short hour hand is not exactly on a number. It is between two numbers! That is because it has moved halfway to the next hour. For example, at 4:30, the short hand is between the 4 and the 5.

Key Takeaway
Think of the long hand like a pointer. When it's "home" at the top (on 12), the hour is brand new — that's o'clock! When it's all the way down at the bottom (on 6), you are halfway through the hour — that's half past or :30!

O'Clock vs. Half Past

Let's look at both kinds of times side by side so you can really see the difference!

Left: 8:00 — the minute hand is on 12 and the hour hand is on 8. Right: 8:30 — the minute hand is on 6 and the hour hand is between 8 and 9.

Can you see the difference? In the 8:00 clock on the left, the long hand points UP to 12. In the 8:30 clock on the right, the long hand points DOWN to 6. Also notice that at 8:30, the short hand has moved a little bit — it is now between 8 and 9!

One Hour from 8:00 to 9:00
First half
Second half
8:30 (half past)
8:00 (o'clock)9:00 (o'clock)

The bar above shows one full hour. It starts at 8:00, reaches the middle at 8:30 (half past), and ends at 9:00. In this lesson, you are learning to read the two ends and the middle!

What You SeeWhat It MeansHow to Say ItHow to Write It
Long hand on 12It is exactly on the hour"___ o'clock"___:00
Long hand on 6It is 30 minutes past the hour"half past ___" or "___ thirty"___:30

Let's Try One Together!

Here is a clock. Let's figure out what time it shows, step by step.

Reading 5:30 on an Analog Clock
1
Step 1 — Find the Short HandI look for the short hand. It is pointing between the 5 and the 6. Since it hasn't reached 6 yet, the hour is still 5.
2
Step 2 — Find the Long HandI look for the long hand. It is pointing straight down at the 6. That means it is 30 minutes past the hour!
3
Step 3 — Say and Write the TimeThe hour is 5. The minutes are 30. So the time is 5:30! I can also say: "It is half past five" or "It is five thirty."
5:30 — half past five
4
Step 4 — Write It on a Digital ClockOn a digital clock, I would see: 5:30

Great job! See how easy it is? Just remember: look at the short hand first for the hour, then the long hand to see if it is :00 or :30.

Analog vs. Digital Clocks

You see both kinds of clocks everywhere — at school, at home, and on the phone. Let's compare them!

Analog ClockDigital Clock
Has a round face with numbers 1–12Shows numbers on a screen
Uses two hands (short and long)Uses digits with a colon
You must look at where the hands pointYou just read the numbers
You can see time moving as hands turnNumbers change when the time changes
Example: hands on 6 and 12 → 6:00Example: screen shows 6:00

Both kinds of clocks tell you the same time. An analog clock is a little harder to read, but once you learn it, you can read any clock in the world! A digital clock is quick and easy to read. The best part is, when you understand one, you understand both!

Key Takeaway
An analog clock and a digital clock are like two languages saying the same thing. An analog clock "shows" the time with hands pointing to numbers. A digital clock "tells" the time by writing the numbers for you. Learning both is like being able to speak two languages!

What Comes Next?

Right now you are learning to tell time at the hour (like 3:00) and the half-hour (like 3:30). That is a great start! As you grow up, you will learn even more about time.

What You Know NowWhat You'll Learn Later
Time to the hour (:00)Time to the quarter hour (:15 and :45)
Time to the half-hour (:30)Time to the nearest 5 minutes (:05, :10, :20…)
Reading hours 1–12A.M. (morning) and P.M. (afternoon)
One "o'clock" to the next is 1 hourCounting minutes: 1 hour = 60 minutes

In 2nd grade, you will learn to read time to the nearest five minutes. That means you will know what all the numbers on the clock mean for minutes, not just 12 and 6! But for now, knowing hours and half-hours is a wonderful skill. You can already tell when lunch is, when school starts, and when it's time for bed!

Practice Time! 🎉

Let's see what you have learned! Try each question, then click the button to check your answer.

PROBLEM 1WHAT DO YOU KNOW?
On an analog clock, which hand tells you the hour — the short hand or the long hand?
PROBLEM 2READ THE CLOCK
A clock has the short hand pointing to 10 and the long hand pointing to 12. What time is it? Write it the way a digital clock would show it.
PROBLEM 3HALF PAST
A clock has the long hand pointing to 6 and the short hand pointing between 2 and 3. What time is it? Say it two different ways.
PROBLEM 4REAL LIFE
School starts at 8 o'clock. You look at the digital clock on the wall and it shows 7:30. Has school started yet? How much longer do you have to wait?
PROBLEM 5THINK ABOUT IT
A digital clock shows 6:30. If you drew this time on an analog clock, where would the short hand point? Would it be right on the 6, or somewhere else? Why?

What We Learned

Today you learned how to tell time using both analog clocks and digital clocks! An analog clock has a short hand (the hour hand) and a long hand (the minute hand). When the long hand points to 12, it is exactly on the hour and we say "o'clock" — like 3:00 or 7:00. When the long hand points to 6, it is 30 minutes past the hour and we say "half past" or "thirty" — like 3:30 or 7:30.

A digital clock shows the time with numbers and a colon. The number before the colon is the hour, and the number after is the minutes (either 00 or 30). Remember: at half past, the short hand on an analog clock is between two numbers because it is slowly moving to the next hour. Now you can look at any clock and know the time. That is an amazing skill! 🕐

Varsity Tutors • 1st Grade Mathematics (Common Core) • Telling Time in Hours and Half-Hours