Back to Lesson 4-9
Name
Name
4-8B
page 2
4-9A Lesson Master
PROPERTIES
In 17−19, use the hierarchy below that shows the organization of different
types of bears.
Questions on SPUR Objectives
See pages 271–275 for objectives.
Objective H
In 1−4, give an example of a number from the set.
bears
1. An odd integer
eats only plants
eats only bamboo
Giant Panda
eats plants and animals
eats mainly bamboo
plus other plants
Red Panda
no indentation on lower jaw
Andean Bear
white fur
Polar Bear
is active during the night
Sloth Bear
fur color
18. A bear that eats only plants, including bamboo, roots, and acorns, is
which type of bear?
Red Panda
6. √
3
rational, real
irrational, real
8. − √
25
rational, real
rational, integer, real
10. 3.37 · 105
9. π
irrational, real
19. According to the hierarchy, what are the characteristics of the
American black bear?
16
__
√
25
11.
Is active during the day, legs turn forward when walking, has fur
that is not white, does not have a hump of muscle over its shoulder,
has an indentation on the lower jaw, eats plants and animals
Objective K: Use Venn diagrams and hierarchies to
describe relationships among sets.
20. Make a hierarchy to show the relationships listed
in the information shown below.
5
5. __
17
7. −5.277
17. If a bear has no hump of muscle over its shoulder, what is the next
characteristic that should be considered?
REPRESENTATIONS
Sample: 156
In 5−12, give all sets of numbers to which the given number belongs:
rational numbers, integers, irrational numbers, or real numbers?
legs turn forward when walking
is active during the day
American Black Bear
4. A positive whole number
2
has hump of muscle over shoulder
Brown Bear
nonwhite fur
legs turn inward when walking
Sun Bear
Sample: π
3. An even prime
has indentation on lower jaw
no hump of muscle over shoulder
2. An irrational number
Sample: 3
integer, rational, real
12. 43
rational, real
REPRESENTATIONS
rational, integer, real
Objective K
13. Create a hierarchy of the following types of numbers based on their characteristics: rational
numbers, positive integers, prime numbers, real numbers, integers, whole numbers, irrational
numbers, and negative integers.
3FBM
Vertex
A new car, the Vertex, comes in sedan and
sports models.
sedan models
All sedans have 4 doors.
Sedans are made as either a luxury hardtop
or a utility hardtop.
4 doors
Sports models have 3 or 2 doors.
The 3-door version is made as
a sports hardtop only.
luxury
utility
hardtop hardtop
The 2-door version is made as either
a sports convertible or a sports hardtop.
3BUJPOBM
*SSBUJPOBM
sports models
*OUFHFST
3 doors
2 doors
1PTJUJWFJOUFHFST
sports
hardtop
sports
convertible
sports
hardtop
/FHBUJWFJOUFHFST
8IPMFOVNCFST
1SJNFOVNCFST
Transition Mathematics
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Name
Transition Mathematics
208
UCSMP_SMP08_NL_TM1_TR1_C04_184-2208 208
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Name
4-9B Lesson Master
PROPERTIES
4-9B
In 17−21, true or false. Use the hierarchy of numbers.
Objective H: Identify the following types of numbers
18. A prime number is always odd.
19. A whole number is always an integer.
20. A rational number is always an integer.
In 1−4, give an example of a number from the set.
1. An even integer
3. A negative irrational number
Sample: - √
7
21. An irrational number is always a real number.
2. An odd prime number less than 5
Sample: 14
3
REPRESENTATIONS
4. A positive non-integer rational number
Sample:
false
false
true
false
true
17. An odd number is always irrational.
by their characteristics: real numbers,
rational numbers, irrational numbers,
positive numbers, negative numbers,
integers, whole numbers, odd numbers,
even numbers, and prime numbers.
17
__
37
Objective K: Use Venn diagrams and hierarchies to
describe relationships among sets.
22. Make a hierarchy of the following sets of
numbers: positive integers, integers, zero,
rational numbers, composite numbers,
negative integers, and prime numbers.
In 5−16, give all sets of numbers to which the given number belongs:
whole numbers, positive numbers, even numbers, prime numbers, irrational
numbers, or none of these?
5. − __56
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3BUJPOBMOVNCFST
*OUFHFST
6. 4.90900900090000900000…
Copyright © Wright Group/McGraw-Hill
none of these
7. √
43
positive, irrational
positive, irrational
8. 2 whole, positive,
even, prime
/FHBUJWFJOUFHFST
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50
10. ____
9. −π
irrational
√
25
whole, positive, even
23. Describe the relationship between positive integers and integers in the hierarchy of numbers.
A positive integer is always an integer, but an
integer is not always a positive integer.
12. 3
11. −2.7
none of these
√
121
13. _____
3
15. 3.2 × 10−12
positive
whole, positive, prime
24. Describe the relationship between a prime number and a rational number in the hierarchy of
numbers.
14. 3.2 × 1012
whole, positive, even
A prime number is always a rational number, but
a rational number is not always a prime number.
16. 41
positive
whole, positive, prime
25. Describe the relationship between zero and a prime number in the hierarchy of numbers.
Zero is never a prime number, and a prime
number is never zero.
Transition Mathematics
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