What time is quarter past in digital?

There are a few different ways to say what time it is.

What time is quarter past in digital?
What time is quarter past in digital?

When it's 12:00, we say it's twelve o'clock. 😺

At 12:00, both the short hour hand and long minute hand point to the top of the clock.

Now, here's a clock showing 12:30.

What time is quarter past in digital?

When it's 12:30, we can say it's half-past twelve.

What time is quarter past in digital?
Half past twelve is a short way of saying it's 30 minutes after 12:00.

What time is quarter past in digital?
What time is quarter past in digital?

At half past, the long minute hand will point to the bottom of the clock.

The long minute hand points to the 60 tick marks on the outside of the clock.

Tip: The long minute hand rotates around the clock once very hour.

What time is quarter past in digital?

Now, here's a clock showing 12:15.πŸ‘‡

What time is quarter past in digital?

When it's 12:15, we can say that it's a quarter past twelve.

Quarter past twelve is a short way of saying it's a quarter of an hour, or 15 minutes, after 12:00.

At a quarter past, the minute hand will point to the right (πŸ‘‰).

Do you know what half and quarter mean? πŸ€” 

What time is quarter past in digital?

When you split something into two equal parts, each part is half of the whole.

When you split something into four equal parts, each part is a quarter of the whole.

Half Past

So now you know that half past twelve means the same thing as 12:30.

Tip: past means after. 

At 12:30, the minute hand has moved halfway around the clock. Doesn't it look like half of a circle?

What time is quarter past in digital?

Tip: the minute hand is the long hand.

Remember: The minute hand points to the 60 tick marks on the outside of the clock.

1:30, 2:30 and 3:30 can all be described as half past 1, half past 2, and half past 3.

Quarter Past

Quarter past twelve is the same as 12:15.

Tip: a quarter of an hour is 15 minutes.

At 12:15, the minute hand has moved a quarter way around the clock. Doesn't it look like a quarter of a circle?

What time is quarter past in digital?

Quarter past 1, quarter past 2 and quarter past 3 are all ways of describing 1:15, 2:15 and 3:15.

Tip: At a quarter past, the hour hand won't point exactly at any of the hour numbers. It will have moved a little after it.

😺 Super tip: At quarter past, the minute hand always points to the 3!

Quarter To

Quarter to is the opposite of quarter past.

Quarter to 12 is the same as 11:45. 

πŸ‘‰ It means there is a quarter of an hour (15 minutes) left until 12:00. 

A quarter to 12 is before 12:00.

What time is quarter past in digital?

😺 Secret trick: at quarter to, the minute hand always points to the 9!

Congratulations! πŸŽ‰ You learned some important new words for telling time. 

Start the practice below to help you remember for longer.


Page 2

There are 24 hours in every day.

Analog clocks only have 12 hours on them. πŸ‘‡

What time is quarter past in digital?

That means the hour hand spins around the clock two times every day.

So 10:00 happens twice every day! πŸ™‰

12:00 happens twice every day too!

How can we tell one 10:00 apart from the other? πŸ€”

πŸ‘‰ We use a.m. and p.m.! 

A.M. is the first half of the day.
P.M. is the second half of the day.

What time is quarter past in digital?
What time is quarter past in digital?

What is A.M.?

A.M. is the first half of the day.

We call it the morning.

It starts at midnight and ends at noon.

You might wake up at 7:00 a.m., eat breakfast at 7:30 a.m. and go to school at 8:30 a.m. All these things happen in the a.m.

You'll often hear people say things like:

"Good morning""Wake up!"

"It's time for breakfast!"

A.M. stands for Ante Meridiem (that's Latin, a very old language πŸ€“).

In Latin, "ante" means before. "Meridiem" means noon.

So A.M. just means before noon! πŸ€―πŸ˜‚

What is P.M.?

P.M. is the second half of the day.

It starts at noon and ends at midnight.

The afternoon and the evening belong to this half of the day.

You might eat lunch at 12:30 p.m., go home from school at 3:00 p.m., eat dinner at 6:00 p.m. and go to bed at 8:30 p.m. All these things happen in the PM.

You'll often hear people say things like:

"Good afternoon""Good evening""Goodnight"

"Time for dinner!"

So if your friend says to you: "let's go watch a movie at 8:00 p.m.," you'll know that they mean 8:00 in the evening.

P.M. stands for Post Meridiem, which means after noon in Latin.

What Comes After 11:59 p.m.?

Time can be a little tricky, so pay close attention. 

Some people think that after 11:59 p.m. is 12:00 p.m. - but that's not how it works!

What comes after 11:59 p.m.?

What time is quarter past in digital?

When is Midnight?

We switch from p.m. to a.m. at midnight.

πŸ‘‰ Midnight is the start of a new day.

Midnight is at 12:00 a.m. This is 1 minute after 11:59 p.m.! This can be tricky.

1 hour after midnight is 1:00 a.m.

When is Noon?

Noon is at 12:00 p.m. This is 1 minute after 11:59 a.m. 

Noon is when you eat lunch. 

Noon is the start of the second half of the day, which is why it's at 12:00 p.m.

Great job learning about a.m. and p.m. 

Think you get it? 😺 Try the practice to see. It'll help you understand more and remember for longer.


Page 3

Every week has seven days. 

The days of the week are:

Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday

Tip: always capitalize the days of the week. So write Saturday, not saturday.

After Saturday, comes Sunday again!

The days of the week repeat 4 or 5 times in a month.

What time is quarter past in digital?
What time is quarter past in digital?

Monday to Friday are called weekdays. This is when we go to school or work.

Saturday and Sunday are called the weekend. This is when we rest and enjoy our free time! πŸ€—

Did you know that there are 52 weeks in every year?

πŸ‘‰ So there are 52 weeks between your birthdays!

πŸ‘ Knowing the days of the week is important. It helps us plan things like work, study, and vacations.

Congratulations! πŸŽ‰ You now know the seven days of the week! 

Complete the practice to help you remember for longer. πŸ‘‡


Page 4

Did you know that our beautiful planet Earth orbits, or spins around, the sun? 🌎

It looks kind of like this:

What time is quarter past in digital?
What time is quarter past in digital?

One year is how long it takes planet Earth to orbit all the way around the sun.

One year has 365 days! That's 365 sunrises.

One year is a long time, so humans break it up into 12 months.

You'll often see the months of the year listed in a calendar. 

Take a look at all the months and their important holidays:

January lasts 30 days.
We celebrate New Year's Day on January 1.
February is the shortest month of the year! It lasts either 28 or 29 days.
We celebrate President's Day on February 18.

Why Does February have 28 or 29 Days?

Every 4 years, to keep our calendar in sync with the sun, we add an extra day to the year. This is called a leap year.

Leap years have 366 days, instead of 365.

The extra day in leap years is always February 29!

What Comes After February?

March lasts 31 days.
We celebrate St. Patrick's Day on March 17!
April lasts 30 days.
Some celebrate Easter on the April 21. 
May lasts 31 days.
We celebrate Memorial Day on May 27.
June lasts 30 days.
We celebrate Father's Day on June 2.
July lasts 31 days.
We celebrate Independence Day on July 4.
August lasts 31 days.
We celebrate International Youth Day on August 12.
September lasts 30 days.
We celebrate Labor Day on September 2.
October lasts 31 days.
We celebrate Columbus Day on October 14.
November lasts 30 days.
We celebrate Thanksgiving on November 28.
December lasts 31 days.
We celebrate Christmas on December 25! πŸŽ…

Tip: Months are all 30 or 31 days long, except for February!

 Days in Each Month Memorization Trick

It can be tough to remember how many days are in each month.

You can use your knuckles to help! Here's the pattern:

What time is quarter past in digital?
What time is quarter past in digital?

January, the first month is on a knuckle, so it has 31 days. 

The next month is February. February is special. It has either 28 or 29 days!

The third month is March. It lands on a knuckle again, so it has 31 days.

The next month, April, lands on a space, so it has 30 days.

And the pattern repeats itself!

Once you run out of knuckles, start over with August.

What time is quarter past in digital?

Did you know that once every month, there's a full moon?

Here's what the moon looks like on different days each month.

What time is quarter past in digital?

The moon repeats this cycle, or pattern, every month! That's why early humans made months as long as they are. 

Early humans learned to tell time by looking at the sky! 🌌

Now, practice what you learned to help you remember for longer.


Page 5

There are 4 seasons in a year: spring, summer, autumn, and winter.

Tip: Don't capitalize the seasons unless they are at the start of a sentence or in a title.

What time is quarter past in digital?
What time is quarter past in digital?

Each season lasts about 3 months.

Let's use our 5 senses to describe each season

Spring

What time is quarter past in digital?
What time is quarter past in digital?

When it's spring, you can:

see flowers blossoming
hear baby chicks hatching
touch flower petals
smell freshly cut grass
taste fresh berries

Spring begins around March and ends in late June. 

Spring comes after winter β›„. 

Plants celebrate the end of the winter cold by growing flowers.

What comes after spring?

Summer

After spring, it gets hotter and hotter. That's called summer!

Summer is the hottest season.

During summer you can:
see sunny skies
hear people splashing in the ocean
touch the hot sand
smell sunblock on your skin
taste the salty air

Summer starts around June and ends in late September. 

The days are longer in the summer than in the winter.

What comes after summer?

Autumn, or Fall

After summer heat, things will start to cool off again in the fall. 

Fall and autumn mean the same thing. 

When it's autumn you can:
see
reddish-brown leaves
hear crunching leaves
touch prickly pine cones
smell the crisp air
taste apples

Autumn starts in September and ends in late November. 

What comes after autumn?

Winter

After fall, it gets even colder. Winter is the coldest season.

During winter you can:
see
snowflakes falling
hear the fireplace crackling
touch soft snow
smell wood burning
taste hot soup

Winter goes from December to February. It can get dark very early. Sometimes even in the afternoon!

Each season is beautiful. What's your favorite?

Next, start the practice to help you remember the seasons for longer.


Page 6

In earlier lessons, you learned about the days of the week and the months of the year.

There are 7 days in a week.
A month is made up of about 4 to 5 weeks.
12 months make a year.

How do we keep track of the days and months that pass by?

πŸ‘‰ We use calendars πŸ“…!

In this lesson, let's learn about calendars. πŸ€—

__

What is a Calendar πŸ“…?

A calendar is a chart or book that shows the months and days of a year in correct order.

This is a calendar.

What time is quarter past in digital?
What time is quarter past in digital?

A calendar uses separate tables to show each month.

Calendars use different colors to show weekends and holidays.

Calendars can be printed on sheets or viewed on computers and phones.

What time is quarter past in digital?
What time is quarter past in digital?

Reading a Calendar

Days in Each Month

We can use a calendar to find out how many days there are in each month. βœ… 

Look at the calendar for January.

What time is quarter past in digital?

How many days does this month have? πŸ€”

It has:

31 days
4 Sundays, 4 Mondays, 5 Tuesdays, 5 Wednesdays, 5 Thursdays, 4 Fridays, and 4 Saturdays

Tip: calendars will sometimes shorten Saturday to SAT or just S.

Each day of the week has an abbreviation, like FRI and MON. It's pretty easy to figure them out.

Do you remember how many days there are in a whole year? πŸ€”

Very good! πŸ‘

A year has 365 days.

Leap years have 366 days because they have 29 days in February. Every 4th year is a leap year! 

Calendars show leap years too!

Fun fact: 2024 is the next leap year.

__Finding the Day Using a Date

Calendars are useful for finding the day of the week on which a date falls. βœ…

What day of the week is it on August 22?

To find out, start from that date, and move to the top, in a straight line. 

The day of the week you reach is your answer.

So, August 22 falls on a Thursday.

Great job! πŸ‘

Finding a Date

Calendars can be used to find out what dates fall on certain days of the week. βœ…

Let's look at the calendar of June.

What time is quarter past in digital?

What is the date of the third Friday of this June?

πŸ‘‰ First, find the Fridays column and count to the third Friday. The date you land on is your answer.

So the date of the third Friday of this month is June 21.

Counting Days

What's the date 8 days after November 9?

First, go to the November 9. Then count 8 days after it to get to your answer.

Try counting 8 for yourself!

What's the answer? πŸ€”

Very good! πŸ˜ƒ The date 8 days after November 9 is November 17.

That was wonderful! πŸ‘ 

Now, try some practice questions. You'll learn more and remember for longer.


Page 7

So far, you've learned a lot about days, weeks, months and years.

Let's review! πŸ€—

Days and Months Review

There are 7 days in a week.
There are 28 - 31 days in a month.
There are 12 months in a year.
A year typically has 365 days.
A leap year has 1 extra day in February, and so it has 366 days in all. Leap years happen every 4 years!

2020 was a leap year. The next leap years are 2024, and 2028.

Number of Days in each Month

Each month has a different number of days.

You can tell how many days each month has using a calendar. πŸ€“

What time is quarter past in digital?

Let's make a list from the calendar.

January - 31 days
February - 28 or 29 days
March - 31 days
April - 30 days
May - 31 days
June - 30 days
July - 31 days
August - 31 days
September - 30 days
October - 31 days
November - 30 days
December - 31 days

Great job! πŸ‘

Every month either has 30 or 31 days in it, except February, which has 28 or 29.

It doesn't seem like there's an easy way to learn the days in each month...

But there is one trick!

Super Secret Memorization Trick!

😺 Use your knuckles to figure out how long each month is.

What time is quarter past in digital?

January, the first month, is on a knuckle, so it has 31 days. 

The next month is February. 

February is special. It has either 28 or 29 days!

The third month is March. It lands on a knuckle again, so it has 31 days.

The next month, April lands on a space, so it has 30 days.

And the pattern repeats itself!

Once you run out of knuckles, start over with August.

Congratulations! πŸŽ‰ You now know how many days there are in each month. 

Start the practice below. It'll help you remember for longer.


Page 8

You can use money to buys things. πŸ’°

You earn money when you go to work or sell things.

People exchange, or give each other, money in lots of different ways today, like through their phones 🀳 or credit cards. πŸ’³

Coins are one of the first tools humans used to exchange money.

Coins are made up of metals, so they last a long time.

Each coin is worth a different amount of money.

What Coins Are Used in the United States?

What time is quarter past in digital?
What time is quarter past in digital?

Cool fact: Different countries have their own coins!

Let's learn about each of the coins used in the United States, starting with the smallest. πŸ‘

Pennies

What time is quarter past in digital?
What time is quarter past in digital?

A penny is worth 1 cent. 

We use the word cent or c or Β’ to refer to pennies. 

1c is pretty small. You can't buy much with a penny. 

πŸ™‰ If you had 100 pennies, you could probably buy 1 chocolate chip cookie!

Pennies are the only coin that has an orange, copper color.

Fun fact: Pennies have the face of Abraham Lincoln, the 16th President of the United States.

Nickels

A nickel is worth 5 cents.

A nickel is worth more than a penny. That means you can buy more things with a nickel.

Nickels are bigger than pennies.

Fun fact: Nickels have the face of Thomas Jefferson, the 3rd President of the United States.

Dimes

A dime is worth 10 cents.

Even though a dime is smaller than a penny and a nickel, it's actually worth more.

Fun fact: The dime has the face of Franklin D. Roosevelt, the 32nd President of the United States.

Quarters

A quarter is worth 25 cents.

πŸ‘‰ A quarter is worth the most out of all the coins.

People use quarters to pay for parking, and for small items.

Quarters have George Washington on them, the first President of the United States.

What Is 100 Cents Called?

100 cents is called 1 dollar!

The symbol for the dollar is $.

If you have 4 quarters, then you have $1!

In the next lesson, we're going to count coins.

But first, complete the practice to make sure you can recognize each one.


Page 9

Do you have enough money to buy a slice of cake?

What time is quarter past in digital?
What time is quarter past in digital?

Let's take a look in your pocket:

What time is quarter past in digital?
What time is quarter past in digital?

You've got 7 coins in your pocket. But that doesn't mean you've got 7c. 

Different coins are worth different amounts.

How many pennies are in your pocket? 

Count the number of copper-colored coins, with a head of Abraham Lincoln:

There are 5 pennies.

A penny is worth 1 cent.

5 pennies is worth 5 cents. βœ…

How many nickels are there?

Count the silver-colored coins, with a head of Thomas Jefferson:

There are 2 nickels.

A nickel is worth 5 cents.

2 nickels are worth 10 cents. βœ…

Tip: Counting nickels is just like skip counting by 5s.

How Much Do You Have in All?

Let's add 5c and 10c together.

5c + 10c = 15c βœ…

You've got 15c in your pocket. That's enough to buy that slice of cake.🍰

Great job. πŸ„β€β™€οΈ

Now, try counting pennies and nickels in the practice. It's fun, and a real-world skill.


Page 10

1 dime is worth 10 cents.

What time is quarter past in digital?
What time is quarter past in digital?

1 quarter is worth 25 cents.

What time is quarter past in digital?
What time is quarter past in digital?

Quarters are larger than dimes.

What time is quarter past in digital?

Fun fact: Dimes and Quarters are made of the same metal material, a mixture of copper and nickel.

1 dime is equal to 2 nickels
1 quarter is equal to 5 nickels

How much money is in this jar?πŸ‘‡

What time is quarter past in digital?

πŸ‘‰ Start with the biggest coins. 

πŸ‘‰ Then skip count by the value of each coin.

Let's try it.

The biggest coins are quarters.

What time is quarter past in digital?

Then you skip count by 25.

How to Skip Count by 25

What time is quarter past in digital?

Do you know what comes next? πŸ€” There's a pattern.

125c, 150c, 175c, 200c

And after that? Yes, it's:

225c, 250c, 275c, 300c

Great job reviewing how to skip count by 25. Now let's continue counting our change.

What time is quarter past in digital?

That's all the quarters. Next, let's keep skip count the value of the dimes!

Great! There are three more dimes to count.

What time is quarter past in digital?

😺 Excellent! We see there are 90 cents in the jar.

Once you know how to skip count in 10s and 25s, counting dimes and quarters is easy. πŸ’ͺ

Now, complete the practice. It's fun.


Page 11

Coins are metal objects worth money.

You can use coins to buy things.

Many countries have their own coins. 

In the United States, the four most used coins are pennies, nickels, dimes, and quarters.

What time is quarter past in digital?

How much money do you have in your piggy bank?

What time is quarter past in digital?

First, let's organize your coins from most valuable to least.

This makes it easier to count.

Now, we skip count by the worth of each coin.

There were 92 cents in your piggy bank!

Great job learning to count coins. Now, practice your skills.


Page 12

$1, read as "one dollar", is the same as 100 cents

$1 is the same as 100 pennies, 20 nickels, 10 dimes, or 4 quarters.

$1 bills look like this:

What time is quarter past in digital?
What time is quarter past in digital?

What can you buy with $1?

What time is quarter past in digital?
What time is quarter past in digital?

Can you buy a chocolate chip cookie?
Yes! It's under $1. πŸ‘

Can you buy a slice of cake?
Yes! It's exactly $1. πŸ‘

Can you buy a cupcake and a cookie?

50c + 15c = 65c

Yes! 65c is under $1. πŸ‘ 

What time is quarter past in digital?

Can you buy a cupcake (50c), a cookie (15c), a popsicle (20c), and a swirly lollipop (28c)?

50c + 15c + 20c +28c = 113c!

No, you can't! Remember, $1 is the same as 100c. 113c is more than $1.

Tip: You can use column form to help you do the addition.

Great job learning about the value of 1 dollar. 

Now, practice your skills. 


Page 13

Pretend you save up $5

What time is quarter past in digital?
What time is quarter past in digital?

$5 is the same as writing $5.00.

The ".00" means there are 0 cents.

What time is quarter past in digital?
What time is quarter past in digital?

You can write coins as dollars amounts with decimals like this:

What time is quarter past in digital?

When you go shopping, you have to pay the total price of your items. πŸ›

To add prices, use column form!

It's just like adding three-digit numbers.

What time is quarter past in digital?

With column form, you add one column at a time, starting with the rightmost (πŸ‘‰) column.

Take a look at the vending machine.

What time is quarter past in digital?

Can you buy a cookie and a can of soda?

What time is quarter past in digital?

Yep! $2.50 is less than $5.

50c is the same as $0.50.

Remember:

100c = $1.00

This is what $2.50 looks like:

What time is quarter past in digital?

Can you buy a cookie, a cake slice, a cupcake and a can of soda?

Yep! That's exactly $5.

Tip: Add two numbers at a time.

You put a $5 bill through the vending machine:

What time is quarter past in digital?

Can you buy a cookie, a cake slice, a cupcake, a soda can, and a popsicle?

What time is quarter past in digital?

Nope. That's more than $5.

Great job. Now, you're ready for the practice. It's fun.


Page 14

Imagine you go to buy two candies for $0.65.

What time is quarter past in digital?
What time is quarter past in digital?

Tip: $0.65 is another way of writing 65 cents.

You take out a $1 bill and hand it to the cashier.

What time is quarter past in digital?
What time is quarter past in digital?

How much change should you get back?

How to Make Change

To find your change, you subtract.

What time is quarter past in digital?

You paid 100 cents for 65 cents of candy. Your change is:

100 - 65 = 35 cents

Tip: Use column form to help find the answer.

What time is quarter past in digital?

You'll receive 35 cents in change. βœ…

What time is quarter past in digital?

A quarter and a dime are 35 cents!

Tip: If you need help with subtraction, go to the lesson on 3-digit subtraction. 

You can also check the lesson on subtraction across zeros.

Another Example

You want to buy a stack of books for $3.75.

What time is quarter past in digital?

If you pay with $5, how much change should you get?

What time is quarter past in digital?

First, let's turn these dollars into cents.

$5.00 is 500 cents.

$3.75 is 375 cents.

Tip: Take out the decimal point (the period .) to convert your dollars to cents.

Then, we subtract.

500 - 375 = 125

Here's how we solve it in column form.

What time is quarter past in digital?

Your change should be 125 cents, or $1.25.

You'll probably get a dollar and a quarter.

What time is quarter past in digital?

Great job!

Secret Trick

You can find the change using addition instead of subtraction.

To figure out the change for a 65 cent item, think of it as a race to 100.

What time is quarter past in digital?

First, skip count up to a multiple of 10.

70 is the next multiple of 10. Write 70 in the oval.

We have to add 5 to 65 to get to 70.

What time is quarter past in digital?

Next, we want to race to 100.

Can you skip count by 10s to get the answer?

Great job! It's 30 hops from 70 to 100. 

So the total change is:

5 + 30 = 35

Did we get the same answer? 

We did! It's 35 cents.

Great work! πŸŽ‰

Now, complete the practice! πŸ’ͺ You'll learn more and remember for longer.


Page 15

Tally charts make it easy to count things around you.

How many hippos are there?

What time is quarter past in digital?
What time is quarter past in digital?

For every hippo we see, let's draw a tally mark!

What time is quarter past in digital?
What time is quarter past in digital?

Now imagine we see two more hippos! We draw two more tally marks, like this:

What time is quarter past in digital?

Draw every 5th tally mark crossing the four tally marks before it.

Tally Charts

Imagine you take a trip to the petting zoo.

You count how animals there are of each type.

What time is quarter past in digital?

Your finished tally chart looks like this:

What time is quarter past in digital?

How many cows are there at the petting zoo?

There are 6 cows!

Great, now you know how to use tally charts to count different types of things around you quickly.

Now, practice what you learned. πŸ˜ƒ


Page 16

A bar graph is a helpful way of comparing things by drawing bars.

Let's compare the heights of your friends.

What time is quarter past in digital?
What time is quarter past in digital?

πŸ‘† That's a bar graph.

The numbers on the side show the height. The names of your friends go along the bottom.

πŸ‘‰ The taller your friend is, the higher the bar. The shorter your friend is, the shorter the bar.

Let's Practice Comparing

Who is the tallest?

Look at the tallest bar. Whose name do you see?

πŸ‘‰ April. She's 140 cm.

Who is the shortest?

Look at the shortest bar. Whose name do you see?

πŸ‘‰ Ron. He's 80 cm tall.

It's pretty easy to compare how tall your friends are when you've drawn a bar graph.

Is there anything else you'd like to compare? Try creating your own bar graph. Don't forget to give it a title!

Sharpen your bar graph reading skills. Complete the practice below. πŸ‘‡


Page 17

Imagine you ask everyone in your class,

"How many pets do you have?"

You get all sorts of answers, but you can't make sense of them.

What can you do?

You can use a line plot!

What is a Line Plot?

This is a line plot:

What time is quarter past in digital?
What time is quarter past in digital?

A line plot is a graph that shows how frequent things are along a number line!

A line plot has a line and some Xs above it.

It also has a title and some numbers underneath.

- The title tells us what the line plot is all about. It is written at the top.

- The numbers tell us what is being measured.

- The line is where you write the numbers.

The X's are used to mark the answers.

Creating Line Plots

Imagine these are the answers you got from your class:

What time is quarter past in digital?
What time is quarter past in digital?

Let's put these answers on a line plot.

First, we draw a line to show all the answers that were mentioned. We see numbers 1, 2, 3, 4, 5, and 6. We write them on the line.

What time is quarter past in digital?

Next, we go through each answer. Then, we write an X above a number every time we see it. 

The first answer is 1, so we write an X above column 1.

What time is quarter past in digital?

We cross out the first 1, so we know that we're done with it.

Then, we continue for all the answers, until we complete our line plot.

What time is quarter past in digital?

Reading a Line Plot

The answers you got make more sense now.

Let's see if you can answer questions about the number of pets that your friends have.

How many of your friends have 1 pet only?

We count the Xs above column 1.

How many Xs are there?

That's right! There are 5. 

5 of your friends have 1 pet. 

How many have 3 pets?

We count the X's in column 3.

That's right! 7 of your friends have 3 pets!

How many have more than 3 pets?

You have to count the Xs for columns 4, 5, and 6.

We see that there's 1 X above column 4, 3 X's above column 5, and 2 X's above column 6.

Let's add them all up.

1 + 3 + 2 = 6

We get 6. That means 6 have more than 3 pets!

Great job! πŸŽ‰

Favorite Ice Cream Flavor

Let's try another example.

Pretend that you've asked your friends about their favorite ice cream flavors. Their answers include vanilla, cookies and cream, chocolate, and strawberry.

This is the line plot that shows their answers.

See if you can answer these questions. 😎

How many like vanilla?

πŸ‘‰ That's right! 4 like vanilla.

How many like cookies and cream?

πŸ‘‰ You've got it! 6 like cookies and cream. 

How many like chocolate and strawberry?

πŸ‘‰ Good job! 15 students like both chocolate and strawberry.

What flavor is the class favorite?

πŸ‘‰ It's chocolate! This flavor has the most number of X's. πŸ˜‹

Great! Now you know how to read Line Plots! πŸŽ‰

Now, complete the practice. You'll remember what you learned for longer.


Page 18

A pictograph is a tool for showing numbers or data using pictures.

Here's an example of a pictograph:

What time is quarter past in digital?
What time is quarter past in digital?

In this lesson, you'll learn to draw your own pictograph using data.

Creating and Reading a Pictograph

πŸ‘‰ Let's draw a pictograph to show the answer to this question:

Which sport does your class like best?

Where do we start?

First, we collect data.

Step 1. Collect and Organize your Data

When you collect facts or information to make a graph, we call this collecting data.

How do you collect data?

πŸ‘‰ You ask everyone in your class if they prefer soccer, hockey, chess or football.

Their answers are the data that you need to draw the pictograph. This is your data:

What time is quarter past in digital?
What time is quarter past in digital?

- 12 classmates say that soccer is their favorite sport.

- 8 classmates like hockey best.

- 6 classmates say that chess is their favorite.

- 10 classmates choose football as their favorite.

Step 2. Draw your Pictograph

Now that we have data, let's draw a pictograph!

We'll draw this pictograph vertically (going πŸ‘†andπŸ‘‡), but you can also draw it horizontally (going πŸ‘ˆand πŸ‘‰).

In this pictograph, we use one picture for each person.

What time is quarter past in digital?

Which sport do your classmates like the most?

Pick the column that has the most number of pictures. Which is it?

πŸ‘‰ Soccer!

Which sport do your classmates like the least?

Pick the column that has the least number of pictures. Which is it?

πŸ‘‰ Chess!

Example 2

Let's try another example. Mr. Brown owns a grocery store where he sells fruit. 

He needs a quick way to see the answer to this question:

How many oranges has Mr. Brown sold in the first six months of the year?

Let's draw a pictograph to help him. 

In this pictograph, one picture is used for every 10 oranges he sold.

What time is quarter past in digital?

As he sold the oranges, he collected the data using this Tally Chart:

Orange Sales

What time is quarter past in digital?

Can you help Mr. Brown show this information using a pictograph?

πŸ‘‰ You draw one orange for every 10 oranges he sold. You draw half an orange when he sells an extra multiple of 5.

Your Pictograph needs a title, and a key. You also label the months.

Here it is!

What time is quarter past in digital?

In which month did Mr. Brown sell the most oranges?

πŸ‘‰ In April! He sold 45 oranges in April.

In which month did he sell the fewest oranges?

πŸ‘‰ In February. He only sold 15 oranges in this month.

Well done! πŸŽ‰ 

Now, try practice below. πŸ˜ƒ


Page 19

Imagine you get a job helping your grandma clean her messy garage!

What time is quarter past in digital?
What time is quarter past in digital?

Its summer vacation, so you agree to help your grandma every day for one week. 

She'll pay you $10 for every hour you work!

Creating a Line Graph

Grandma writes your earnings on a line graph, so she knows how much to pay you at the end of the week.

Here's what she draws at the beginning of the week:

What time is quarter past in digital?
What time is quarter past in digital?

πŸ‘‰ First, she draws the x-axis. This is the horizontal line marking the days of the week.

Then she draws the y-axis. This is the vertical axis which shows the amount of money you earned.

Every day, she draws a dot to show how much you earned that day. 

- On Monday, you work for three hours, so she pays you 30 dollars.

- On Tuesday, you only worked for an hour an a half, so grandma pays you 15 dollars.

For Monday's earnings, Grandma drew the dot above "Monday" and to the right of "30".

She does this for the earnings throughout the rest of the week.

Now, when she connects the dots it makes a line graph.

Reading a Line Graph

A line graph shows points connected by a line. This kind of graph is useful for showing how the value of something changes over time.

It shows how your earnings went up and down during the week.

Look at the line graph.

πŸ‘‰ From Monday to Sunday, did your earnings go up or down?

It went up!

πŸ‘‰ How much money did you earn on Thursday?

That's right! You earned $30 on Thursday.😎

πŸ‘‰ On which day did you earn the most?

You earned the most on Sunday!

Great job!

Now, ace the practice.


Page 20

What time is quarter past in digital?
What time is quarter past in digital?

This set of shapes is a mess.

πŸ€” We want to see how many of the shapes are squares, and how many are blue.

😺 A Venn diagram is just the tool we need!

A Venn diagram uses overlapping circles to show how things are alike or different.

How to Make a Venn Diagram

To make a Venn diagram, draw 2 circles. 

One circle is for blue shapes, and one is for square shapes. 

Tip: Make some part of one circle overlaps with the other circle.

What time is quarter past in digital?
What time is quarter past in digital?

If a shape is blue, it goes into the circle on the left labeled "Blue Shapes". πŸ‘ˆ

If a shape is square, it goes into the circle on the right labeled "Squares". πŸ‘‰

If a shape is blue AND square, where do you think it goes?

πŸ€“ It goes in the middle where the two circles overlap!

What time is quarter past in digital?

Now let's move the shapes into the circles where they belong.

What time is quarter past in digital?

Congratulations, you made your first Venn diagram!

Now let's see if we can answer some questions about the shapes.

1. How many blue things are there?

πŸ‘‰ Count all the blue things.

There are 10!

2. How many squares are there? 

πŸ‘‰ Count all the square things.

There are 11!

Learn about AND

Look at this blank Venn diagram.

What time is quarter past in digital?

πŸ€” What part is for shapes that are blue and square?

πŸ‘‰ It's the middle part!

AND means it's where the two circles overlap.

Now, if someone asks you:

Which shapes are squares and not blue?

What part do you highlight? πŸ€” 

πŸ‘ Yes, it's like we subtracted one circle from the other!

Great job.

Now let's learn another way to group things with OR.

Learn About OR

If someone asks you: 

What shapes are blue or square?

πŸ€” What parts would you highlight?

Yes! All the parts!

Or means you include things from both groups!

Great job. 

Now, use what you learned. Start the practice below. 😺 Venn diagrams are fun.