LESSON
Name
76
Teacher Note:
page 491
• “For additional practice,
students may complete Targeted
Practice 76.”
• Multiplying Fractions
New Concept
• To multiply fractions, multiply across.
Example
2
__
×
3
2 × 4 = ___
8
4 = ______
__
5 3 × 5 15
• “Of” is a keyword for multiplication.
Example
What fraction is one half of three fourths?
one half
of
1
__
×
2
three fourths is
3
__
4
three eighths
3
__
=
8
Lesson Practice
a. A semicircle is one half of a circle. Shade one half of the semicircle below.
The shaded part of the semicircle shows that 2_1 of 2_1 is what fraction?
1×1=
1 = _____
of __
2 2 2×2
1
__
b. A penny is what fraction of a dime?
A penny is 1¢. A dime is 10¢.
© 2008 Saxon
A dime is what fraction of a dollar?
A dollar is 100¢.
A penny is what fraction of a dollar?
1
1
__
__
of 10
is what fraction?
The answers above show that 10
Saxon Math Intermediate 5
SM_H5_AD_L076_FF.indd 493
493
×
_________
×
=
123
____
123
Adaptations Lesson 76
11/5/07 1:14:31 PM
Lesson Practice, continued
c. What fraction is three fourths of one half?
_3_
42 =
× ___
4 42
d. What fraction is one half of one third?
42 =
_1_ × ___
2 42
e. What fraction is two fifths of two thirds?
42 =
_2_ × ___
5 42
2=
1 × __
f. __
3 3
j.
3 × __
1=
g. __
5 2
2=
2 × __
h. __
3 3
i.
1 × __
2=
__
2 2
Half of the students were girls. One third of the girls wore red shirts.
What fraction of the students were girls wearing red shirts?
k. What is the area of a square with sides 2_1 inch long?
page 495
1. 4517 miles first day
m
second day
total
2. 57 miles in 3 days
3m =
17 + m =
m=
© 2008 Saxon
Written Practice
m=
Use work area.
Saxon Math Intermediate 5
SM_H5_AD_L076_FF.indd 494
494
Use work area.
Adaptations Lesson 76
11/5/07 1:14:34 PM
page 495
Written Practice, continued
9
3.
4. List the factors of 6:
.
−
,
.
,
,
0
Cross out the numbers that are not factors of 12.
,
.
5. 3n = 18, so n must equal
,
,
,
,
6. Area = length × width
.
What does 2n equal?
10 cm
7. 4.5
4.500
8. Arrange from least to greatest.
1
Use fraction pieces. Compare each to 2_.
4.5
4.500
,
Use work area.
9. a.
© 2008 Saxon
b.
c.
_1
2
_1
2
_1
2
of 64
,
64
1
2
_____
)6 4
of answer to part a
1
2
____
)
of 2_1 =
d. What percent of the squares had checkers on them?
a.
Saxon Math Intermediate 5
SM_H5_AD_L076_FF.indd 495
b.
c.
495
d.
Adaptations Lesson 76
11/5/07 1:14:35 PM
page 496
Written Practice, continued
___
10. Find AB.
11. Fill empty spaces with zeros.
Label the figure.
24.86
?
A
B
C
−
.00
13. 8m = $36.00
12. Subtract digits with the same place value.
9.06
−
.00
m=
15.
$16.08
×
9
w=
17.
1
3 __
2
1 __
2
Convert.
Convert.
SM_H5_AD_L076_FF.indd 496
40
__
−15
=
Saxon Math Intermediate 5
Use work area.
19.
3
2
__
+13
=
×
3 = ____
1 of __
20. __
=
×
2 5
6380
× 570
Use work area.
18.
3
2
__
+13
16.
21. Multiply across.
22. Multiply across.
2=
1 × __
__
3 3
6=
1 × __
__
6
2
496
© 2008 Saxon
14. 50w = 7600
Adaptations Lesson 76
11/5/07 1:14:36 PM
page 496
Written Practice, continued
23.
Number of Concert Tickets
Cost
a.
M
the number of
1
2
3
4
$35
$70
$105
$140
t
by
$
.
b. Use your answer to part a to find the total cost of 10 tickets.
a. Use work area. b.
24. Area = length × width
3
4
3
8
a. area =
×
25. a. Which number on the
spinner is the most unlikely
outcome of a spin?
in.
in.
=
4
b. This rectangle’s sides are twice the length
of the rectangle’s sides above.
b.
2
3
Label the sides with lengths and units.
a.
1
b. Which outcomes of a spin
have probabilities that are
greater than 4_1?
a.
Use work area.
b.
,
26. a. A nickel is what fraction of a quarter?
© 2008 Saxon
b. A quarter is what fraction of a dollar?
c. A nickel is what fraction of a dollar?
d. The answers to a–c show that one fifth of one fourth is what fraction?
a.
Saxon Math Intermediate 5
SM_H5_AD_L076_FF.indd 497
b.
c.
497
d.
Adaptations Lesson 76
11/5/07 1:14:38 PM
page 497
Written Practice, continued
27. factors of 100:
,
,
,
,
,
,
,
,
Use work area.
28. Use the data in the table to make a pictograph.
Goals Scored by Top Four Teams
Goals Scored by
Soccer Teams
Teams
Team Name
Goals
Goal Diggers
20
Buckies
16
Legends
15
Hornets
12
Goals
Key:
â 2 goals
29. The colder temperature is farther away from 0ºF.
The colder temperature is
Use work area.
Ľ40
Ľ47
ºF.
range = span
Ľ60
Range between –80ºF and –47ºF is
ºF.
Ľ80
F
Use work area.
30. Luis started 3 seconds after Jaxon.
Luis finished 1 second before Jaxon.
Jaxon’s time was 32 seconds.
Jaxon’s time
10
seconds before and after
© 2008 Saxon
–
seconds (Luis’s time)
Since Luis ran for
s
seconds
l
than Jaxon, I can
4 seconds from Jaxon’s time.
Use work area.
Saxon Math Intermediate 5
SM_H5_AD_L076_FF.indd 498
498
Adaptations Lesson 76
11/5/07 1:14:39 PM
LESSON
Name
77
Teacher Notes:
page 498
• Introduce Hint #46 “Gram/Kilogram
Manipulatives.”
• Review “Equivalence Table for
Units” on page 1 in the Student
Reference Guide.
• Converting Units of
Weight and Mass
New Concept
Units of mass in the metric system:
wing of a housefly
• 1 mg
paper clip
• 1g
pair of shoes
• 1 kg
a small car
• 1 metric ton
Units of weight in the U.S. Customary System:
• 1 oz
slice of bread
• 1 lb
a shoe
• 1 ton
a small car
Use the table below to help convert units of weight and mass.
Units of Weight and mass
U.S. Customary System
Metric System
16 oz â 1 lb
2000 lb â 1 tn
1000 mg â 1 g
1000 g â 1 kg
1000 kg â 1 t
On Earth a kilogram is about 2.2 pounds, and
a metric ton is about 2200 pounds.
© 2008 Saxon
Example
Six kilograms is how many grams?
Multiply the loop.
kilograms
________
grams
6
1 = __
_____
1000
?
6 × 1000 = 6000
6 kilograms = 6000 grams
Saxon Math Intermediate 5
SM_H5_AD_L077_FF.indd 499
499
Adaptations Lesson 77
11/5/07 1:18:26 PM
New Concept, continued
Example
Multiply 8 ounces by 4. How many pounds is that?
8 ounces
× 4
32 ounces
There are 16 ounces in 1 pound.
To find the number of pounds,
divide by 16.
2 pounds
16 ) 32 ounces
__________
32 ounces is the same as 2 pounds.
Lesson Practice
____
)1 6
a. One half of a pound is how many ounces?
16 oz
1
2
b. If a pair of tennis shoes is about 1 kilogram, then one tennis shoe is about how
many grams?
1000 g
____________
1
2
)1 0 0 0
lb
___
c. Ten pounds of potatoes weighs how many ounces?
tons
____
lb
d. Sixteen tons is how many pounds?
oz
___
= 10
0
?
_1_
16
1 = ___
__
0
?
9
rolls
yards
5 7
rolls ×
Saxon Math Intermediate 5
SM_H5_AD_L077_FF.indd 500
© 2008 Saxon
e. A roll contains 57 yards of fabric.
Estimate the number of yards of fabric on 9 rolls.
Use compatible numbers.
yards =
yards in all
500
Adaptations Lesson 77
11/5/07 1:18:31 PM
page 500
Written Practice
1926
64
1.
.
2.
3. Arrange from least to greatest.
2.13, 1.32, 13.2, 1.23
+
.
2.13
1.32
13.2
1.23
.
4. a.
_1
4
of 36
1 joined the
4
chess team.
,
36 students
_1
3
,
of answer to part a.
__ students
__ students
_____
)
b.
,
__ students
1
3
__ students
c. What fraction of the students attended 100% of the tournaments?
a.
5. 1 ton =
pounds
See page 1 in the Student
Reference Guide.
b.
c.
6. Name the shaded part:
• as a fraction.
© 2008 Saxon
• as a decimal.
• as a percent.
Use work area.
Saxon Math Intermediate 5
SM_H5_AD_L077_FF.indd 501
501
Adaptations Lesson 77
10/13/09 6:48:39 PM
Written Practice, continued
page 501
kg __
3
1
__
8. ___
g 0 = ?
lb __
2
1
__
7. ___
oz 0 = ?
___
3 + __
3 + __
3 =
10. __
4
4
4
9. Find AC.
Label the figure.
B
C
?
Convert.
3 + __
2 =
11. __
2
3
12.
Convert.
13.
463
2875
2489
8897
+ 7963
16. Multiply across.
2 =
1 × __
__
2
2
Saxon Math Intermediate 5
SM_H5_AD_L077_FF.indd 502
17.
401.3
– 264.7
502
5
3 __
8
6
+ 4 __
8
=
Convert.
14. Multiply across.
15. Multiply across.
5 =
1 × __
__
6
2
3 =
2 × __
__
4
3
18.
$5.67
×
80
© 2008 Saxon
A
Adaptations Lesson 77
11/5/07 1:18:35 PM
page 501
Written Practice, continued
20. 50 × 50 =
374
× 249
19.
X
+0000 0 0 X X
21. ($5 + 4¢) ÷ 6 =
22. 64,275 ÷ 8 =
23. 60w = 3780
_____
)
w=
24.
+
¢
1 dime
¢
2 nickels
¢
6 pennies
¢
about
¢ per stack
×
¢ in one stack
¢
Each stack is about
same as
$
4
stacks
total amount
or one quarter, and four quarters is the
.
Use work area.
25. Lindsey
1.2 km
Shamika (Lindsey – 0.2 km)
© 2008 Saxon
Doug (Shamika – 0.4 km)
Lindsey
1.2 km
(
(
) km
) km
Shamika
0.5 km
Doug
0.5 km
0.5 km
Use work area.
Saxon Math Intermediate 5
SM_H5_AD_L077_FF.indd 503
503
Adaptations Lesson 77
11/5/07 1:18:36 PM
page 502
Written Practice, continued
26. a. How long is the rectangle?
b. If the rectangle is half as wide as it is long,
then what is the perimeter of the rectangle?
c. Area = length × width
mm 10
a.
b.
20
30
40
50
c.
27. Assume that this sequence repeats after every three terms.
What are the next four terms of the sequence?
7, 3, 5, 7, ___, ___, ___, ___, …
Use work area.
29. The mass of a dollar bill is
about
.
28. a. An inch is what fraction of a foot?
b. A foot is what fraction of a yard?
A 1 milligram
c. An inch is what fraction of a yard?
B 1 gram
d. The answer to parts a–c show
that
1
__
12
of
_1
3
C 1 kilogram
is what fraction?
D 1 metric ton
b.
c.
d.
30. a. What fraction is shaded?
1 in.
b. What is the area of the shaded region?
1 in.
c. Area is measured using
a.
Saxon Math Intermediate 5
SM_H5_AD_L077_FF.indd 504
s
units.
b.
504
c.
© 2008 Saxon
a.
Use work area.
Adaptations Lesson 77
11/5/07 1:18:39 PM
LESSON
Name
78
Teacher Notes:
page 503
• Introduce Hint #47 “Square Roots.”
• Exponents and Square
Roots
• Refer students to “Exponents” on
page 21 in the Student Reference
Guide.
• Review “Expanded Notation” on
page 9 in the Student Reference
Guide.
New Concept
• The expressions 52, 53, and 54 are powers of five.
Math Language
A base is the
factor in repeated
multiplication.
An exponent
shows how many
times the base is
used.
5 × 5 × 5 = 53
In the expression
53, the base is 5
and the exponent
is 3.
• Powers of ten can be used to show place value of numbers
in expanded notation.
100 = 1
101 = 10
102 = 10 × 10 = 100
103 = 10 × 10 × 10 = 1000
Example
Write 4,500,000 in expanded notation using powers of ten.
(4 × 1,000,000) + (5 × 100,000) = (4 × 106) + (5 × 105)
• If we know the area of a square, we can find the length of
each side.
• When we find the side length by using the area, we are
finding the square root.
© 2008 Saxon
Example
Math Language
• To find the
square root of a
number, ask:
“What factor
multiplied by
itself equals the
original number?”
Saxon Math Intermediate 5
SM_H5_AD_L078_FF.indd 505
What is the square root of a square with an area of 25 sq. units?
___
√25 = 5
The square root of 25 is 5
because 5 × 5 = 25.
25 squares in all
5 squares on each side
505
Adaptations Lesson 78
11/5/07 1:22:10 PM
Lesson Practice
a. This figure illustrates “five squared,” which we can write as 52. There are five rows
of five small squares. Draw a similar picture to illustrate 42.
b. This picture illustrates “two cubed,” which we
can write as 23. Two cubed equals what whole number?
Write each power as a whole number. Show your work.
c. 34 = 3 × 3 × 3 × 3 =
d. 25 =
e. 112 =
×
×
×
×
×
=
=
f. If 2m = 10, then what does m2 equal?
Write each number in expanded notation using powers of 10:
×
g. 250,000 (
×
h. 3,600,000 (
i.
)+(
×
60,500 (
×
)+(
)
×
)+(
×
)
)
Find each square root in problems j–m.
j. √1=
k. √4=
n. Solve each part and then compare.
Compare:
___
√36
32
l. √16 =
___
m. √49 =
o. Find the square roots
and then subtract:
___
√25
___
– √16
–
Saxon Math Intermediate 5
SM_H5_AD_L078_FF.indd 506
© 2008 Saxon
What factor multiplied by itself equals the original number?
__
__
___
506
=
Adaptations Lesson 78
11/5/07 1:22:12 PM
page 508
Written Practice
1 = ______
1 of __
× =
1. __
×
3 2
2. 00$1300
00$0860
Use fraction-decimal-percent
pieces.
1=
__
6
4.
_1
2
×
guests
total guests
%
of 2000 lb
5.
_1
2
of 16 oz
_____
)
2000 lb
1
2
hours
3.
_____
)
16 oz
1
2
____ lb
____ oz
____ lb
____ oz
6. Which shaded circle below is equivalent to the larger shaded circle at right?
A
B
C
D
© 2008 Saxon
7. Which of these fractions does not
equal one half?
50
A ____
100
1000
B _____
2000
16
C ___
30
8. Find the length in millimeters and then
in centimeters.
6
D ___
12
mm 10
20
30
cm
2
3
1
Use work area.
Saxon Math Intermediate 5
SM_H5_AD_L078_FF.indd 507
507
Adaptations Lesson 78
11/5/07 1:22:14 PM
Written Practice, continued
page 509
––––
10. Find MN.
9. factors of 6:
Label the figure.
,
,
,
L
M
?
N
Cross out the numbers that are not
factors of 8.
,
2=
3 – __
12. __
3 2
2 + __
2 + __
2=
11. __
3 3 3
13.
4
9 ___
10
9
+ 4 ___
10
14. Fill empty places
with zeros.
4.60
=
+ 0.00
00
Convert.
15.
18.
Convert.
16.
$40.00
− $13.48
Convert.
17.
$20.50
×
8
_____________
9 ) $5
0
__
√9
92
19.
____________
80 ) 4 6 5 0
R
20. Write the quotient as a mixed
number.
98
___
Saxon Math Intermediate 5
5
=
=
_____
)
© 2008 Saxon
+
SM_H5_AD_L078_FF.indd 508
6 . 7
508
Adaptations Lesson 78
11/5/07 1:22:17 PM
page 509
Written Practice, continued
3 of __
1 = ______
×
21. __
×
4 2
22. Multiply across.
23. Multiply across.
3=
3 × __
__
2 4
2=
1 × __
__
3 2
Convert.
24. a. How far does Kiyoko travel going
to school and back in 1 day?
Reduce.
25. Assume that this sequence repeats
after every four terms.
Write the next four terms of the
sequence.
1.5 mi
Home
School
7, 3, 5, 7,
b. If Kiyoko leaves her house at 7:55
a.m. and rides her bike, at what
time will she get to school?
,
,
,
,…
leaves:
Count minutes forward.
a.
b.
26. Area = length × width
A
B
D
C
Use work area.
27. Which term does not apply to
quadrilateral ABCD in problem 26?
A rectangle
B parallelogram
C rhombus
×
=
D polygon
© 2008 Saxon
See page 16 in the Student Reference Guide.
Saxon Math Intermediate 5
SM_H5_AD_L078_FF.indd 509
509
Adaptations Lesson 78
11/5/07 1:22:19 PM
Written Practice, continued
28.
page 510
A C A S L B E
a. What is the probability that the letter selected
is a vowel?
a.
b. What is the probability that the letter selected
is A?
b.
c. What is the probability that the letter selected
comes before G in the alphabet?
c.
29. Write 25,000,000 in expanded notation using powers of 10.
See
page 506.
(
×
30. Display the data in a horizontal bar graph.
)+(
×
)
Planet Diameters
Planet
Diameter (miles)
Mercury
3000
Venus
7500
Earth
8000
Mars
4000
Planet Diameters
Mercury
© 2008 Saxon
Planet
Diameter
(in miles)
Use work area.
Saxon Math Intermediate 5
SM_H5_AD_L078_FF.indd 510
510
Adaptations Lesson 78
11/5/07 1:22:21 PM
LESSON
Name
79
Teacher Notes:
page 511
• Refer students to “Fraction
Families Equivalent Fractions” on
page 18 in the Student Reference
Guide.
• Finding Equivalent
Fractions by
Multiplying by 1
• For additional practice, students
may complete Targeted Practice 79.
New Concept
Math Language
Equivalent
fractions are
different names for
the same number.
• When a number is multiplied by 1, the value of the number
does not change. This is called the Identity Property of
Multiplication.
• When a fraction is multiplied by any fraction name for 1,
the result is an equivalent fraction.
Example
3 __
6
__
× 2 = __
4 2 8
2 __
4
8
__
× = ___
3 4 12
25
75 = 75%
× ___ = ____
25
4
100
3
__
Lesson Practice
Find the fraction name for 1 used to make each equivalent fraction:
a.
3
9
__
× − = ___
4
12
b.
4
1 × − = ___
c. __
12
3
4
2 × − = __
__
6
3
25
1 × − = ____
d. __
100
4
© 2008 Saxon
Find the numerator (top number) that completes each equivalent fraction:
8
1 × − = __
e. __
9
3
f.
23
2 × − = ___
__
15
3
10
3 × − = ___
g. __
5
10
6
1 × − = __
h. Write a fraction equal to 2_1 that has a denominator of 6: __
2
6
Saxon Math Intermediate 5
SM_H5_AD_L079_FF.indd 511
511
Adaptations Lesson 79
11/5/07 1:26:46 PM
Lesson Practice, continued
6
1 × − = __
Write a fraction equal to 3_1 that has a denominator of 6: __
3
6
What is the sum?
i.
100
3 × − = ____
Write 5_3 as a fraction with a denominator of 100: __
5
100
Write the fraction you wrote as a percent:
Written Practice
1. 1 ton =
pounds
_______
dayspo
The denominator of a percent is 100.
page 513
pounds
?
= __
?
1
50
___
Multiply the loop.
2. 1 ft =
in.
1 ft =
__
2
in.
(
3.
×
)+
=
selling price
×
×
Toshi paid
profit
.
4.
.
© 2008 Saxon
78
Use work area.
Saxon Math Intermediate 5
SM_H5_AD_L079_FF.indd 512
512
Adaptations Lesson 79
11/5/07 1:26:51 PM
page 514
Written Practice, continued
6
2 × − = __
5. __
9
3
6. Area = length × width
7. factors of 9:
3 × − = ___
12
8. __
12
4
,
,
12
2 × − = ___
__
12
3
Cross out the numbers that are not factors
of 12.
+0000000
Convert.
,
Use work area.
___
9. Find AB.
Label the figure.
A
?
3=
2 + 3 __
1 + 2 __
10. 1 __
5
5
5
B
C
11. Borrow and rename.
© 2008 Saxon
5−3 =
5 − 3 __
8
Convert.
Saxon Math Intermediate 5
SM_H5_AD_L079_FF.indd 513
513
Adaptations Lesson 79
10/13/09 6:49:38 PM
page 514
Written Practice, continued
12.
13. $10 ÷ 4 =
$10.00
−$
.
14. 9 × 64¢ =
____
) 00
15. 24.6 + m = 30.4
16. w − 6.35 = 2.4
m=
3,
n=
w=
_______________
18. 7 ) 4
17. 9n = 6552
8
5
9
R
19.
___
–
1 = ______
1 of __
× =
21. __
×
2 5
____________
√25
152
22. Multiply across.
20. 80 ) 4
1
3
R
7
=
5=
3 × __
23. __
5 4
Saxon Math Intermediate 5
SM_H5_AD_L079_FF.indd 514
514
© 2008 Saxon
3 × __
2=
__
4 2
Adaptations Lesson 79
11/5/07 1:26:55 PM
Written Practice, continued
page 515
24. a. How many fruit cups were sold in July?
1
A 3 __
2
B 300
C 305
D 350
Fruit Cup Sales
June
July
August
b.
100 fruit cups
June
July
August
a.
total sold
b.
25. What is the probability of not rolling a 4?
26. Distributive Property
12 × 21 = 12 × (20 + 1)
(20 × 12) + (1 × 12 ) =
Use mental math.
© 2008 Saxon
27. Fourteen books were packed in a box. Which is the most reasonable measure?
A 15 milligrams
Saxon Math Intermediate 5
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B 15 grams
C 15 kilograms
515
D 15 metric tons
Adaptations Lesson 79
11/5/07 1:26:57 PM
page 515
Written Practice, continued
28. This is an equilateral triangle.
perimeter
Add all sides.
1.5 cm
29. 1.0 g =
mg
500 mg
1.0 g
500 mg
mg
Use work area.
30. Round to the nearest $500.
$8 4 9 9
I
–
r
$
$7995 to
.
Then I
$
and rounded $8449 to
s
to find the difference.
© 2008 Saxon
$7 9 9 5
Use work area.
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516
Adaptations Lesson 79
11/5/07 1:26:58 PM
LESSON
Name
80
Teacher Notes:
page 516
• Refer students to “Prime Numbers”
on page 24 in the Student
Reference Guide.
• Prime and Composite
Numbers
• Display reference chart “Primes
and Composites.”
New Concept
Math Language
Number
A prime number is
a counting number
that has exactly
two factors
(1 and itself).
1
1
2
1, 2
prime
3
1, 3
prime
A composite
number is a
counting number
with more than two
factors.
4
1, 2, 4
composite
5
1, 5
prime
6
1, 2, 3, 6
composite
7
1, 7
prime
8
1, 2, 4, 8
composite
9
1, 3, 9
composite
10
1, 2, 5, 10
composite
The number 1
has exactly one
factor, and is
neither prime nor
composite.
Factors
Type
• An array is a rectangular arrangement of numbers or
objects in rows and columns.
• Below are 3 different arrays for the number 12:
12 by 1
6 by 2
© 2008 Saxon
4 by 3
These arrays show us that 1, 2, 3, 4, 6, and 12 are factors
of 12.
• Prime numbers have only one pair of factors.
The only factors of 11 are 1 and 11. Here is the only array
for the prime number 11.
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517
Adaptations Lesson 80
11/5/07 1:29:21 PM
New Concept, continued
Activity
page 519
Identifying Composite and Prime Numbers
• Use your textbook to complete this activity.
Lesson Practice
a. Use color tiles to make as many different arrays as possible for 14 and for 19.
Draw the arrays you make using Xs.
List the factors of 14:
,
List the factors of 19:
,
14 is a
,
,
number, and 19 is a
number.
b. Draw two arrays for the composite number 9.
Use the factor pair 1 and 9 for one array.
Use the factor pair 3 and 3 for the other array.
c. List the factors of 15:
,
List the factors of 17:
,
,
,
Use color tiles to determine which number is prime and which is composite.
can be drawn using more than two arrays, so it is
can be drawn using only two arrays, so it is
.
.
d. Use color tiles to make arrays for 10, for 11, and for 12.
Which numbers can be arranged in more than two arrays?
© 2008 Saxon
and
Which number can be arranged in only two arrays?
Which number is prime?
Which numbers are composite?
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518
Adaptations Lesson 80
11/5/07 1:29:23 PM
page 520
Written Practice
2. 1 ton =
pounds
pounds __
4 = __
?
_______
1
wheels 4
1.
×
Multiply the loop.
4. List the next three prime numbers.
3. factors of 8:
,
,
2, 3, 5, 7, 11,
,
,
,
Cross out the numbers that are not factors of 12.
,
,
Use work area.
9
3 × − = ___
5. __
4
12
Since 3 ×
= 9 and 4 ×
= 12, I used the fraction
1
1
6. __
× − = __
2
7. A prime number has
.
factors.
6
All prime numbers have only 1 and
+
i
Convert.
© 2008 Saxon
2
2 × − = __
__
6
3
as
f
.
Use work area.
8. Arrange from least to greatest.
1
Use fraction pieces or compare each to 2_.
,
Saxon Math Intermediate 5
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519
,
,
,
Adaptations Lesson 80
11/5/07 1:29:24 PM
page 520
Written Practice, continued
9. To find 8_1 of a mile,
___
10. Find XY.
Label the figure.
divide by 8.
X
____________
)1 7 6 0
11.
$8.43
12. Fill empty places with zeros.
6.505
$8.43
$8.43
–
+ $ .
14.
?
Z
13.
$12.00
– $12.00
6.505
15. 6w = $76.32
$18.07
×
6
Y
16. 26 =
___
)
w=
____
√ 16
18. Write the quotient as a
mixed number.
3 = _______
×
3 of __
19. __
=
4
4
×
© 2008 Saxon
___
17. √ 9
_________
)3 6 5
+
Saxon Math Intermediate 5
SM_H5_AD_L080_FF.indd 520
=
520
Adaptations Lesson 80
11/5/07 1:29:26 PM
page 521
Written Practice, continued
20. Multiply across.
3
3=
__
× __
2
2
21. Write the numerator as
your answer.
3
___
10
2 +1 __
2=
22. 3 __
3
?
= ____
100
Convert.
1=
23. 5 – __
5
3
Convert.
7
7 – ___
24. ___
=
10
10
25. It is evening.
What time will be shown by this clock in 6 2_1 hours?
11
10
time shown:
12 1
2
3
9
4
8
Count minutes forward.
7
6
5
© 2008 Saxon
Count hours forward.
26. Which digit is in the millions place?
92,956,000
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521
Adaptations Lesson 80
11/5/07 1:29:28 PM
Written Practice, continued
page 521
27. Write 150,000,000 kilometers in expanded notation using powers of 10.
See
page 506.
(
×
)+(
×
)
28. Complete the sequence.
2, 4, 8, 16,
,
,…
Is it arithmetic or geometric?
See
page 251.
29. What is the probability of “heads” with one coin toss?
30. Write as unreduced fractions.
One digit to the right is a denominator of 10.
0.8 =
© 2008 Saxon
The denominator of a percent is 100.
80% =
Saxon Math Intermediate 5
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522
Adaptations Lesson 80
11/5/07 1:29:29 PM