Transcript 3 - Granbury ISD

Patterns, Relationships, and
Algebraic Reasoning
By Mrs. Ore
BRAWNER INTERMEDIATE
GRANBURY ISD
Patterns, Relationships, & Reasoning
Tables &
Symbols
Formulate
and equation
Potpourri
NOT
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
Possible
Prime
Combinations
Composite
100
$100 Possible Combinations
Ishma has to choose teams of 2 people for a game. Each
team must have 1boy and 1girl.
A. 8
B. 12
C. 16
D. 4
How many different team combinations are
possible using these boys and girls?
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your answer
$100 Possible Combinations
Correct answer is
C. 16
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$200 Possible Combinations
Daly rolled 3 fair number cubes. If each number is used only once,
which group shows all the 3-digit numbers that can be made with
these digits?
A. 345, 454, 543
B. 345, 435, 543, 534
C. 345, 354, 453, 543, 435
D. 345, 354, 453, 435, 534, 543
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$200 Possible Combinations
D.
345, 354, 453,
435, 534, 543
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$300 Possible Combinations
Olivia has 3 scarves, 2 belts, and 2 pins. If
she wears 1 of each item, how many different
combinations can she make?
A. 5
B. 7
C. 10
D. 12
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$300 Possible Combinations
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$400 Possible Combinations
At lunch students may choose from 3 main
dishes, 3 vegetables, and 2 deserts. How many
different lunches can students have if they choose
1 item from each group?
A. 8
C. 12
B. 18
D. 20
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$400 Possible Combinations
3 (choices) X 3 (choices) X 2 (choices) =
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$500 Possible Combinations
Mr. Marcus is buying a new car. He can choose from
the features listed below.
COLOR
DOORS
OTHER
Blue
2
Radio
Silver
4
CD/Tape player
Black
If he chooses 1 feature from each column, how many
different combinations of features can he choose?
A. 6
B. 7
C.. 12
D. 20
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$500 Possible Combinations
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$100
Prime/Composite
The factor tree for the number 48 is shown below. According
to the factor tree, which of the following statements is true?
48
4
2
12
2
3
4
2
2
A. The number 48 is prime.
B. The only prime factor of the number 48 is 2.
C. The numbers 48, 12, and 4 are composite.
D. The numbers 2,3,4, and 12 are prime.
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$100 Prime/Composite
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$200 Prime/Composite
Which number is a prime number?
A. 36
FOR EXAMPLE
IS PRIME
B. 33
C. 27
D. 17
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$200 Prime/Composite
A. 35’s factors are 5 x 7
B. 33’s factors are 3 x 11.
C. 27’s factors are 3 x 9.
D. 17’s factors are 17 x 1 and that is all! 17 cannot
be broken down into two factors other than
itself and one.
SO….
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$300 Prime/Composite
Which number is a composite
number?
A. 17
Unlike
B. 25
C. 23
D. 7
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$300 Prime/Composite
A. 17 is a prime number. It cannot be broken down.
B. 25 has two factors 5 x 5.
SO…
C. 23 is a prime number. It cannot be broken down.
D. 7 is a prime number. It cannot be broken down.
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$400 Prime/Composite
Which group shows the
prime factorization of the
number 72?
A. 2 x 3 x 3 x 3
B. 2 x 2 x 3 x 3
C. 2 x 2 x 2 x 3
D. 2 x 2 x 2 x 3 x 3
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$400 Prime/Composite
A. 2 x 3 x 3 x 3 = 54
B. 2 x 2 x 3 x 3 = 36
C. 2 x 2 x 2 x 3 = 24
D. 2 x 2 x 2 x 3 x 3 = 72
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$500 Prime/Composite
Which group names ALL the factors of
a composite number?
A. 1, 3, 5, 10
B. 1, 2, 4, 7, 14, 28
C. 1, 23
D. 1, 2, 5, 10, 20
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$500 Prime/Composite
A. 1, 3, 5, 10
10 is composite, but 3 is NOT a
factor.
B. 1, 2, 4, 7, 14, 28
C. 1, 23
NOT composite
D. 1, 2, 5, 10, 20
20 is composite, but the factor 4 is missing.
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$100 Tables & Symbols
The table shows a set of related numbers.
Which expression could be used to find x?
12
24
48
60
72
84
3
6
12
X
18
21
A. 12 x 2
B. 12 + 36
C. 60 – 12
D. 60 ÷ 4
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$100 Tables & Symbols
12
4
=3
24
48
60
72
84
4
4
4
4
4
= 6 = 12 = X = 18 = 21
D. 60 ÷ 4
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$200 Tables & Symbols
Marina's
Jazz's Age, x Age, y
(years)
(years)
4
8
5
9
6
10
7
11
Which expression best
represents Jazz’s age in terms
of Marnia’s age?
A. x + 4
B. 2x
C. y + 4
D. 2y
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$200 Tables & Symbols
Marina's
Jazz's Age, x Age, y
(years)
(years)
4
+4 =
8
5
+4 =
9
6
+4 =
10
7
+4 =
11
A.
x+4
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Area of
Triangle
(square units)
Area of
Polygon
(square units)
3
4
5
18
24
30
6
n
36
A.
B.
C.
D.
1(n)
6(n)
n+6
n + 36
$300 Tables & Symbols
The table shows the
relationship between
the area of the triangle
and the area of the
polygon it is part of.
Which expression can
be used to find the
area of the polygon?
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your answer
Area of
Triangle
(square units)
Area of
Polygon
(square units)
3
4
5
6x 3 =
6
n
6x 6 =
6x 4 =
6x 5 =
$300 Tables & Symbols
18
24
30
36
6x n =
B. 6 (n)
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Side Length (units)
Volume
(cubic
units)
3
27
5
125
n
9
A. n + n + n
B. n
729
$400 Tables & Symbols
Which expression
can be used to find
the volume, in
cubic units, of a
similar cube with a
side length of n
units?
3
C. 9n
D. 98 + n
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$400 Tables & Symbols
Side Length (units)
3
Volume
3 x 3 x 3 =
5
5 x 5 x 5 =
n
n x n x n =
9
9 x 9 x 9 =
(cubic units)
27
125
729
3
B. n
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Length
Width
Height Volume
1
2
3
6
2
3
4
24
3
4
5
60
n
A. 3n
C. n
3
$500
Which expression
can be used to find
the volume of a
similar rectangular
prism with a length
of n units?
B. n (n + n)
D. n (n + 1)(n + 2)
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$500 Tables & Symbols
Length
1
1
3
n
(1
2
2
3
Width
+
2
Height
1) (1 +
(2 + 1)
3
(3 + 1)
4
3
2) = 6
(2 + 2)
4
(3+ 2)
5
Volume
6
= 24
24
= 60
60
n (n + 1)(n + 2) =
D. n (n + 1)(n + 2)
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$100 Formulate and equation
David bought 2 shirts that were
originally priced at $26.50 each. Each
shirt was on sale for $3.98 off the
original price when David bought
them. Which equation can be used to
find t, the total sale price of 2 shirts?
A. t = 26.50 - 3.98
B.
C.
t = 2(26.50) – 3.98
t = 2(3.98) – 2(26.50)
D. t = 2(26.50) – 2(3.98)
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$100 Formulate and equation
$26.50
$26.50
2 x 26.50
2 x 3.98
D. t = 2(26.50) – 2(3.98)
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$200 Formulate and equation
A school district received 212 new books that
were to be shared equally among 4 school
libraries. Also each library received a separate
order of 30 books. Which number sentence
could be used to find T, the total number of
books that each library received?
A . T = (212 x 4) + 30
B. T = 4 x (212 + 30)
C. T = (212 + 30) ÷ 4
D.
T = (212 ÷ 4) + 30
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$200 Formulate and equation
Correct
D. T = (212 ÷ 4) + 30
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$300 Formulate and equation
Mr. Kougias distributed 78 sheets of
drawing paper to the art students in
his class. Each student received 3
sheets of drawing paper. Which
equation can be used to find s, the
number of students in the class?
A.
s = 78 ÷ 3
B. s = 75 – 3
C.
s = 78 x 3
D.
s = 78 + 3
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$300 Formulate and equation
A. s = 78 ÷ 3
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$400 Formulate and equation
What number sentence can be
used to determine n, the eighth
number in the pattern?
4, 8, 12, 16, . . . n. .
A. n = (4 x 4) x 4 B. n = 4
C. n = 16 + (4 x 8) D. n = 4 x 8
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$400 Formulate and equation
D. n = 4 x 8
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$500 Formulate and equation
A track team ran 5 miles in 40 minutes. Which
shows how to find the number of minutes it would
take the track team team to run 20 miles?
A. 40 ÷ 5 = 8, so 8 x 20 = 160 minutes
B. 5 x 8 = 40, so 8 x 40 = 320 minutes
C. 40 ÷ 5 = 8, so 5 x 40 = 200 minutes
D. 5 x 5 = 25, so 5 x 25 = 125 minutes
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$500 Formulate and equation
A. 40 ÷ 5 = 8, so 8 x 20 = 160 minutes
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$100 Potpourri NOT
By 2:30PM on Monday, one-fourth of
the classes at Valley Intermediate
School had finished taking yearbook
pictures. What fractional part of the
classes had NOT yet taken yearbook
pictures?
A.1/25
B. ¼
C. 2/5
D. ¾
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$100 Potpourri NOT
D.¾
Had NOT taken pictures
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$200 Potpourri NOT
A newspaper claimed that 3 out of 5
households in the area had internet
connections. If they surveyed 300
people, how many people did NOT
have internet hookups?
A. 180
B. 200
C. 120
D. 240
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$200 Potpourri NOT
180/300 Do have
120/300 Do NOT
C.120 did
NOT
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$300 Potpourri NOT
Which group contains fractions
NOT equivalent to 2/3?
A. 12 , 14 ,
18
16
21
24
C. 6 , 8 , 10
9
12
15
B. 2 ,
6
3 ,
4
9
12
D. 4 , 10 , 20
6
15
30
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$300 Potpourri NOT
2 x 1 = 2
2
3 x 1 = 3
NOT 6
B. 2/6, 3/9, 4/12
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$400 Potpourri NOT
Each week Maria spends the same amount of money to buy her
lunch at school. She keeps a list in her notebook of how much
money she has spent on lunches since the school year began.
Week of
School
Total
Amount
Spent
6
$60
7
$70
8
$80
9
$90
A. Divide $90 by 9
Which is NOT a way to find
how much money Maria spends
on lunches each week?
C. Divide $60 by 6
B. Subtract $60 from $90 D. Subtract $70 from $80
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$400 Potpourri NOT
B. Subtract $60 from $90
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$500 Potpourri NOT
It took Megan 6 minutes to complete one
math problem. Which of the answer
choices would NOT show how long it
will take her to complete 15 problems?
A. 1 hour 30 min.
B. 90 min.
C. 60 min.
D. 1 ½ hours
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$500 Potpourri NOT
X 15== 90
? min.
6 min.
NOT
C. One hour
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