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Optical Illusions (1)
In the picture, the line segments at the top and at the bottom are the same length,
but the line at the top looks longer. Let’s investigate this optical illusion.
1. Draw two horizontal line segments, each 2 cm long, between each pair of lines,
one near the top of the picture and one near the bottom. Which pair of slanted lines
makes the best optical illusion?
a)
b)
c)
2. Draw the same two line segments as in Question 1, but use a different color. Which
pair of lines makes the best optical illusion? Does color matter in this optical illusion?
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a)
b)
c)
3. Draw the same two line segments as in Question 1, but make them very thick. Which
pair of lines makes the best optical illusion? Does thickness matter in this optical illusion?
a)
b)
c)
Blackline Master — Measurement and Data — Teacher’s Guide for AP Book 4.1
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Optical Illusions (2)
4. This time make two line segments 4 cm long. Which pair of lines makes the best optical
illusion? Does the length of the horizontal line segment matter in this optical illusion?
a)
b)
c)
5.
Draw the same two line segments as in Question 1 in each picture. Which picture
makes the best optical illusion? Does background matter in this optical illusion?
b)
c)
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a)
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Blackline Master — Measurement and Data — Teacher’s Guide for AP Book 4.1
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Trip Map
CALIFORNIA
Lake Tahoe
NEVADA
291 km
305 km
YOSEMITE
NATIONAL
PARK
Lake Mono
San Francisco
KINGS CANYON
NATIONAL PARK
614 km
SEQUOIA
NATIONAL
FOREST
Las Vegas
DEATH VALLEY
NATIONAL PARK
434 km
426 km
MOJAVE
NATIONAL
PRESERVE
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Los Angeles
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NAME
DATE
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Pentamino
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Make Your Own Clock
Blackline Master — Measurement and Data — Teacher’s Guide for AP Book 4.1
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Telling Time (Half and Quarter Hours) (1)
When the minute hand (the long hand) travels
from the 12 around the clock until it hits the
12 again, one hour has passed.
“quarter past”
“quarter to”
“half past”
1.In each question, shade in the space from the 12 to the minute hand as above. Then
indicate whether the minute hand is “half past,” “quarter past,” or “quarter to” the hour.
a) b)c)d)
half past e) f)g)h)
2. What time is it? Circle the correct answer.
a) b)c)d)
quarter to 8 or 7
quarter to 10 or 9
quarter to 10 or 11
quarter to 1 or 2
e)f)g)h)
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quarter past 2 or 3
quarter past 4 or 5
quarter past 5 or 6
quarter past 10 or 9
Blackline Master — Measurement and Data — Teacher’s Guide for AP Book 4.1
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DATE
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Telling Time (Half and Quarter Hours) (2)
10:30 is half way from 10:00 to 11:00
10:15 is a quarter of the
way from 10:00 to 11:00
10:45 is three quarters
of the way from 10:00 to 11:00
3. Write where the minute hand is. Draw the hour hand, and write the time.
a)
The
minute hand is
three quarters of b)
The minute hand is
the way from 1:00 to 2:00.
from 1:00 to 2:00.
The time is 1:45 .
The time is .
c)
The
minute hand is
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d)
The minute hand is
from 4:00 to 5:00.
from 2:00 to 3:00.
The time is .
The time is .
e)
The
minute hand is
f)
The minute hand is
from 8:00 to 9:00.
from 7:00 to 8:00.
The time is .
The time is .
g)
The minute hand is
h)
from 10:00 to 11:00.
The time is .
The minute hand is
from 10:00 to 11:00.
The time is .
Blackline Master — Measurement and Data — Teacher’s Guide for AP Book 4.1
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Telling Time in Two Ways
1.Shade in the space from the 12 to the minute hand, so that the shaded part is less
than half of the circle.
a)b)c)d)
e)f)g)h)
2. Which hour is the hour hand closer to? Circle the answer.
a) 11 or 12
b) 10 or 11
c) 6 or 7
d) 8 or 9
f) 12 or 1
g) 3 or 4
h) 2 or 3
e) 4 or 5
40 minutes past 5
20 minutes to 6
3. Tell the time in two ways.
a)
b)
minutes past minutes past minutes to minutes to G-68
Blackline Master — Measurement and Data — Teacher’s Guide for AP Book 4.1
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When it is less than half an hour to the next hour, we can tell time two ways:
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Telling Time (Review) (1)
1. H
ow many minutes is it past the hour? Count by 5s around the clock, filling in the
boxes as you go.
5
a)
b)
10
c)
15
: 15 : : d) e)
f)
: : : The hour hand (the short hand) moves in a clockwise direction.
When the hand is between 7 and 8 the hour is still 7.
2. What is the hour?
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a)b)c)d)
1 :
:
:
:
e)f)g)h)
:
:
:
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Telling Time (Review) (2)
3. What time does the analog clock show? Write the answer in numbers and in words.
a)
12 b)
: 30 Thirty minutes after twelve c)
d)
: : : 4.What time does the digital clock show? Write the answer in words and draw the
hands on an analog clock.
a)
b)
5. Draw the hands on each clock to show the time.
a) 4:45
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b) 8:15
c) 2:10
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NAME
DATE
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Clocks
Blackline Master — Measurement and Data — Teacher’s Guide for AP Book 4.1
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Telling Time (The Second Hand)
The second hand is longer and thinner than both the minute and hour hands.
minute
hand
The second hand is read just like the minute hand.
second
hand
The exact time, written digitally and including seconds, is:
hours
minutes seconds hour
hand
1. Under each clock, write the time digitally. a) b)
c)
d) e)
f)
2. Draw the hands on the analog clock to show the time.
a) 3 : 50 : 35
b) 7 : 02 : 23
c) 9 : 15 : 05
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Blackline Master — Measurement and Data — Teacher’s Guide for AP Book 4.1
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DATE
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The 24-Hour Clock
1. Complete the following tables using the pattern.
12-hr Clock
24-hr Clock
12-hr Clock
24-hr Clock
12-hr Clock
24-hr Clock
12:00 a.m.
00:00
9:00 a.m.
09:00
5:00 p.m.
17:00
1:00 a.m.
01:00
10:00 a.m.
2:00 a.m.
02:00
6:00 p.m.
12:00 p.m.
12:00
1 p.m.
13:00
2. a) What number must you add to 1 p.m. to change it to 24-hour notation?
b) List three other times that change this way:
3. For each time in 12-hour notation, write the corresponding time in 24-hour notation.
(Only look at the chart above if you need help!)
a) 5:00 a.m. =
b) 11:00 p.m. =
c) 6:00 p.m. =
d) 3:00 p.m. =
e) 8:00 p.m. =
f) 12:00 a.m. =
g) 12:00 p.m. =
h) 9:00 p.m. =
BONUS
7:25 p.m. =
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4. For each time in 24-hour notation, write the corresponding time in 12-hour notation.
a) 07:00 =
b) 15:00 =
c) 13:00 =
d) 00:00 =
e) 18:00 =
f) 17:00 =
5.Complete the table to show when David left each exhibit in a museum (using
24-hour notation).
Front
Desk
Time Spent
Time Finished
Dinosaurs
Reptiles
Lunch
Ancient Egypt
Bat Cave
1 hour
2 hour
30 minutes
1 hour
30 minutes
10:30
6. Describe any differences between the way time is written in 24-hour and 12-hour notation…
a) in the morning (a.m.).
b) in the afternoon or evening (p.m.).
Blackline Master — Measurement and Data — Teacher’s Guide for AP Book 4.1
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