Introduction
The second chapter of the Math Mammoth Grade 2-A Complete Worktext deals with reading the clock to the five-minute intervals, and finding simple time intervals.
It is helpful to have a practice clock, such as an alarm clock, where the child can turn the clock hands.
First we practice telling time in the hours:minutes form (such as 10:20), and then using the colloquial phrases “ten after”, “quarter till”, and so on.
Also studied are simple time intervals, or how much time passes. When practicing these, tell the child to imagine moving the minute (or hour) hand on a clock. He/she can initially use a practice clock for this.
The section also has one lesson about the calendar. Of course the calendar and the months are best learned just in the context of everyday life, as the months pass. Hang a wall calendar on the wall and instruct your child to look at it every day, and to cross out days as they pass.
The Lessons in Chapter 2
Helpful Resources on the Internet
Use these free online resources to supplement the “bookwork” as you see fit.
Analog and Digital Clocks
These clocks show you the current time, side by side. Useful for illustration.
http://nlvm.usu.edu/en/nav/frames_asid_316_g_2_t_4.html
What Time Will it Be?
Move the hands on the clock to show what time it will be after a certain amount of minutes.
http://nlvm.usu.edu/en/nav/frames_asid_318_g_2_t_4.html
Match Clocks
Make the digital clock to show the time given with the analog clock.
http://nlvm.usu.edu/en/nav/frames_asid_317_g_2_t_4.html
page span
Review - Whole and Half Hours ... 23 1 page The Minutes ... 24 3 pages Five Minute Intervals ... 27 4 pages How Much Time Passes? ... 31 2 pages Half and Quarter Hours ... 33 2 pages The Calendar ... 35 2 pages Review ... 37 1 page
Time Flies
Practice telling time with two types of watches. In the second part, practice what you have learned by selecting the digital time that matches the time displayed.
http://www.alfy.com/Games/playgame.aspx?gameID=354&gameName=Time+Flies
Flashcard Clock
Read the analog and type in the time in digital form. Very clear clock and good fast response!
http://www.teachingtreasures.com.au/maths/FlashcardClock/flashcard_clock.htm
Telling Time Practice
Interactive online practice: you drag the hands of the clock to show the correct time.
http://www.worsleyschool.net/socialarts/telling/time.html
Teaching Time
Analogue/digital clock games and worksheets. Also an interactive “class clock” to demonstrate time.
http://www.teachingtime.co.uk/
Time-for-time
Resource site to learn about time: worksheets, games, quizzes, time zones.
http://www.time-for-time.com/default.htm
A Matter of Time
Lesson plans for telling time, interactive activities, and some materials to print.
http://www.fi.edu/time/Journey/JustInTime/contents.html
Elapsed Time Line
This interactive tool shows 2 clocks that have draggable fingers to set a "from" and "to" time, and a number line. You can demonstrate how to use a number line to calculate elapsed time.
www.teacherled.com/2008/10/05/elapsed-time-line/
Clockwise
Plug in a time, and the clock runs till it, or clock runs to a time and you type it in.
http://www.shodor.org/interactivate/activities/clock2/index.html
Clock (evaluation version words across the screen)
Use the buttons to advance the clock in 5, 10, 15, 30 minute increments or drag the hands. Shows digital time also. For illustrations only, does not have any quiz or questions.
http://www.interactive-resources.co.uk/mathspack1/clock/clock.html
The Right Time
A couple of interactive exercises about reading the clock.
http://www.pitara.com/activities/math/time/time.asp?QNum=3
What Time Is It?
Look at the analog clock and pick the digital clock that shows the same time.
http://www.primarygames.com/time/start.htm
Review - Whole and Half Hours
1. Write or say the time using the expressions o'clock or half past.
2. Write the time in two ways: using the expressions o'clock or half past, and with numbers.
3. Write the time an hour later. Use numbers.
4. Write the time a half-hour later. Use numbers.
a. b. c. d.
a. _____ o'clock _____ : _____
b. half past _____
_____ : _____
c. half past _____
_____ : _____
d. _____ o'clock _____ : _____
Now it is: a. 6:00 b. 11:30 c. 3:00 d. 2:30 e. 9:30
An hour later, it is:
Now it is: a. 5:00 b. 7:30 c. 12:30 d. 10:00 e. 1:30
A half-hour later, it is:
The Minutes
1. The arrow shows how much the minute hand travels. How many minutes of time passes?
When the hour hand moves from one number to the next (from 1 to 2, or from 6 to 7, etc.), it takes one hour to do that.
In that same one hour of time, the minute hand travels
from 0 to 60 minutes. So one hour is 60 minutes. A half-hour is 30 minutes.
When you read the minute hand, you use the green numbers. They go by fives, and are not normally marked on clocks. You need to know them. (Just skip-count by fives!)
1 hour = 60 minutes.
1/2 hour = 30 minutes.
The hour hand is past 8.
The minute hand is at 15.
The time is 8:15.
The hour hand is past 3.
The minute hand is at 25.
The time is 3:25.
The hour hand is past 11.
The minute hand is at 10.
The time is 11:10.
a. _____ minutes b. _____ minutes c. _____ minutes d. _____ minutes
2. Write the time.
3. Find the clock that shows 11:25 and the clock that shows 11:05.
4. Write the time that the clock shows, and the time 5 minutes later.
a. ____ : _____
b. ____ : _____ c. ____ : _____ d. ____ : _____
e. ____ : _____ f. ____ : _____ g. ____ : _____ h. ____ : _____
a. b. c. d.
a. ____ : _____ b. ____ : _____ c. ____ : _____ d. ____ : _____
5 min.
later → ____ : _____ ____ : _____ ____ : _____ ____ : _____
5. Write the time. Note: the hour hand is close to some number, but it has not reached that yet.
6. Write the time that the clock shows, and the time 5 minutes later.
Notice! The hour hand looks like it is pointing to 10.
But the minute hand has not yet reached 60 minutes, so it is not yet 10 o'clock. We still say it is 9 hours (and some minutes).
The minute hand is at 55. The time is 9:55.
a. ____ : _____ b. ____ : _____ c. ____ : _____ d. ____ : _____
e. ____ : _____ f. ____ : _____ g. ____ : _____ h. ____ : _____
a. ____ : _____ b. ____ : _____ c. ____ : _____ d. ____ : _____
5 min.
later → ____ : _____ ____ : _____ ____ : _____ ____ : _____
Five-Minute Intervals
1. Continue writing the times at each five-minute interval. You can use your practice clock.
When the MINUTE hand travels from one number to the next on the clock face, 5 minutes of time passes.
Each interval is five minutes. That is why you skip-count by fives, when figuring out the minutes.
a. b. c. d.
8 : 20 8 : 25 _____ : _____
_____ : _____
_____ : _____
_____ : _____
_____ : _____
_____ : _____
_____ : _____
_____ : _____
_____ : _____
_____ : _____
_____ : _____
_____ : _____
_____ : _____
_____ : _____
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_____ : _____
_____ : _____
_____ : _____
2. How many minutes is it past the whole hour, or till the next whole hour?
We can also tell the time by saying how many minutes it is past the whole hour, or how many minutes it is till the next whole hour.
Use the expression “so-many minutes past” only if the minutes are less than 30. After that, use
“so-many minutes till” the next whole hour.
20 past 1
“20 minutes past 1 o'clock”.
10 till 7
“10 minutes till 7 o'clock.”
a. It is ____ minutes past 2 o'clock.
b. It is ____ minutes past 3 o'clock.
c. It is ____ minutes past ____ o'clock.
d. It is ____ minutes past _____ o'clock.
e. It is ____ minutes till 7 o'clock.
f. It is ____ minutes till ____ o'clock.
g. It is ____ minutes till ____ o'clock.
h. It is ____ minutes till ____ o'clock.
i. ____ past ___ j. ____ past ___ k. ____ past ___ l. ____ past ___
m. ____ till ___ n. ____ till ___ o. ____ till ___ p. ____ till ___
3. Write the time using the wordings “past”, “till”, “half past” or “o'clock”, and the time 5 minutes later.
4. Write the time using the hours:minutes way. Use your practice clock to help.
a. ____ till ___ b. ____ till ___ c. ____ past ___ d. ____ past ___
5 min.
later → ____ till ___ ____ till ___ ____ past ___ ____ past ___
e. f. g. h.
5 min.
later →
i. j. k. l.
5 min.
later →
a. 10 past 8
______:______
b. 15 till 7
______:______
c. 25 past 12
______:______
d. half-past 7
______:______
e. 9 o'clock
______:______
f. 20 till 6
______:______
g. 5 till 11
______:______
h. 25 till 4
______:______
5. Write the time using the expressions “past”, “till”, or “half past”.
6. How many minutes does the minute hand “cover”, or “pass through”, on the clock?
7. Write the later times.
a. 6:45 b. 9:30
c. 12:10 d. 4:55
e. 8:35 f. 1:40
g. 2:15 h. 11:50
a. From 10:00 till 10:15 ______ minutes
b. From 1:20 till 1:35 ______ minutes
c. From 5:50 till 6:10 ______ minutes
d. From 2:05 till 2:40 ______ minutes
a.
z 15 min. later ____:_____
z 20 min. later ____:_____
z 30 min. later ____:_____ b.
z 15 min. later ____:_____
z 20 min. later ____:_____
z 30 min. later ____:_____
c.
z 15 min. later ____:_____
z 20 min. later ____:_____
z 30 min. later ____:_____ d.
z 15 min. later ____:_____
z 20 min. later ____:_____
z 30 min. later ____:_____
e.
z 15 min. later ____:_____
z 20 min. later ____:_____
z 30 min. later ____:_____ f.
z 15 min. later ____:_____
z 20 min. later ____:_____
z 30 min. later ____:_____
How Much Time Passes?
1. How many minutes till 2:30? Till 8:05?
2. The class ends at 1:00. How many minutes of class is left at these times?
3. How many minutes pass? Imagine turning the minute hand on a clock.
4. a. The bus trip started at 10 past 4, and ended at half past 4. How many minutes did it take?
b. Joshua started math homework at 20 till 5, and ended at 5 past 5.
How much time did he spend?
c. Music class starts at 10:15, and ends at 10:45. How long is it?
a.
It is 2:00. → ______ minutes till It is 2:10. → ______ minutes till It is 2:20. → ______ minutes till
It is 2:25. → ______ minutes till 2:30
b.
It is 7:30. → ______ minutes till It is 7:35. → ______ minutes till It is 7:45. → ______ minutes till
It is 7:50. → ______ minutes till 8:05
a.
_______ minutes
b.
_______ minutes
c.
_______ minutes
d.
_______ minutes
from 1:45 1:55 1:40 1:45 1:55
to 1:55 2:05 2:05 2:15 2:10
minutes 10 minutes
from 2:00 7:05 8:45 6:40 11:15
to 2:35 7:15 9:05 7:10 11:30
minutes
5. How many hours is it?
6. How many hours till midnight?
7. a. Dad's workday starts at 8:00 in the morning, and ends at 5 PM.
How many hours is Dad at work?
b. Mary's school day starts at 9 AM and ends at 2 PM. How long is her school day?
c. The airplane took off at 10 AM and landed at 1 PM. Then it again took off again at 2 PM and landed at 6 PM. How many hours was the airplane in the air?
d. How many hours are there in 1 day-night period?
8. a. The turkey needs to cook 3 hours in the oven to be ready at 7 PM.
When should it be put into the oven?
b. It takes 2 hours to mow the lawn. Jim wants to be done at 1 PM.
When should he start mowing?
c. Mom needs 7 hours of sleep tonight. She wants to wake up at 6 AM.
When should she go to bed?
9. Imagine the minute hand going all the way around on the clock - or full hours. Fill in how many whole hours pass.
from 8 AM 7 AM 9 AM 11 AM 10 AM
to 12 noon 1 PM 4 PM 11 PM 7 PM
hours
from 4 PM 7 PM 12 AM 9 AM 7 AM
to 12 midnight 12 midnight 12 midnight 12 midnight 12 midnight hours
from 10:30 10:30 1:40 5:45 3:20 AM
to 11:30 12:30 4:40 11:45 12:20 PM
full rounds or hours
Half and Quarter Hours
1. Write the time using “a quarter past”, “a quarter till”, “half past”, or “o'clock”.
The clock face is divided into four equal parts.
Each part is one-fourth.
We can see that one-fourth of 60 minutes is 15 minutes.
The word “quarter” means one-fourth.
When we say, “A quarter past 6”, we mean one-fourth of an hour past 6 o'clock, or 15 minutes past 6.
When we say, “A quarter till 6”, we mean one-fourth of an hour till 6 o'clock, or 15 minutes till 6.
When we say, “Half-past 6”, we mean a half-hour past 6 o'clock, or 30 minutes past 6.
1 hour = 60 minutes.
1/2 hour = 30 minutes.
1/4 hour = 15 minutes.
15 past 4, OR a quarter past 4 15 till 8, OR a quarter till 8 half past 10
a. b. c. d.
e. f. g. h.
2. Write the times using hours:minutes.
3. Write the time using “a quarter past”, “a quarter till”, “half past”, or “o'clock”.
4. Which clock shows the time a half-hour later than the given time?
5. a. Mom started cooking rice at a quarter past 5. It needs to cook for 30 minutes.
When will it be ready?
b. A rain storm lasted half an hour, starting at a quarter till 2. When did it end?
c. The class ends at 2 o'clock. Now there are still 15 minutes left of class time.
What time is it now?
a. a quarter till 5 _____ : ______
b. a quarter past 12 _____ : ______
c. a quarter till 9 _____ : ______
d. a quarter past 3 _____ : ______
e. half past 11 _____ : ______
f. a quarter till 12 _____ : ______
g. a quarter past 8 _____ : ______
h. a quarter till 1 _____ : ______
a. 7:30
b. 5:15 c. 5:45 d. 9:45
e. 12:15
f. 12:30 g. 11:45 h. 7:45
a.a quarter past 5 b. half past 4 c. 3 o'clock d. a quarter till 6 e.a quarter till 7 f. a quarter past 4
1. 2. 3.
4. 5. 6.
The Calendar
Discuss with your teacher:
1. What do the letters “Su Mo Tu We Th Fr Sa“ mean?
2. (Use the calendar above.) What day of the week is...
January
3. a. List here all the months that have 31 days.
b. List here all the months that have 30 days.
c. Which month is the shortest month? ________________________
How many days does it have? ____
4. Write the dates, using the form (month) (day), like in problem (2).
The day number is an ordinal number!
5. Write the date exactly one week (7 days) later than these dates:
6. a. Let's say it is now April first. How many months is it till June? Till August?
Till December? Till October?
b. Let's say it is now January first. How many months is it till February? Till April?
Till July? Till September?
7. If you have already had your birthday for this year, how many months ago was it?
If you haven't had it yet, how many months is it from today until your birthday?
8. Mary goes to a swimming club every Thursday. List here the May dates when Mary goes swimming.
9. Jack ordered a passport on July 3rd. He is supposed to pick it up two weeks later.
What date is that?
a. today's date b. tomorrow's date
c. your birthday d. your mom's birthday e. Monday next week f. the first Monday of June
a. January 3rd b. February 11th
c. May 22nd d. June 5th
e. August 30th f. November 26th
g. March 13th h. September 28th
Review - Clock to the Nearest Five Minutes
1. Write the time with hours:minutes, and using “past”, “till”, “half past” or “o'clock”.
2. Write the later time.
3. How many minutes pass? Imagine turning the minute hand on a clock.
4. How many hours is it?
a. ____ : ______
_____ till ____
b. ____ : ______
_____ past ____
c. ____ : ______
________________
d. ____ : ______
________________
e. ____ : ______
_____ till ____
f. ____ : ______
________________
g. ____ : ______
________________
h. ____ : ______
________________
Time now 2:30 6:55
15 min. later ____ : _____ ____ : _____
Time now 9:05 5:40
20 min. later ____ : _____ ____ : _____
from 1:45 1:55 1:40 1:45 1:55
to 1:55 2:05 2:05 2:15 2:10
minutes 10 minutes
from 8 AM 7 AM 9 AM 11 AM 10 AM
to 12 noon 1 PM 4 PM 11 PM 7 PM
hours