Patterns, Relationships, and Algebraic Reasoning By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD
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Patterns, Relationships, and Algebraic Reasoning
By Mrs. OreBRAWNER INTERMEDIATE
GRANBURY ISD
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Potpourri NOT
PossiblePossible
CombinationsCombinations
Formulate and equation
Tables & Symbols
Prime
Composite
200
Patterns, Relationships, & Reasoning
$100 Possible CombinationsPossible Combinations
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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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Board
$100 Possible CombinationsPossible Combinations
Correct answer is
C. 16
$200 Possible CombinationsPossible Combinations
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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 CombinationsPossible Combinations
D.345, 354, 453, 435, 534, 543
$300 Possible CombinationsPossible Combinations
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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 CombinationsPossible Combinations
$400 Possible CombinationsPossible Combinations
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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 B. 18
C. 12 D. 20
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Board
$400 Possible CombinationsPossible Combinations
3 (choices) X 3 (choices) X 2 (choices) =
$500 Possible CombinationsPossible Combinations
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Mr. Marcus is buying a new car. He can choose from the features listed below.
COLOR DOORS OTHERBlue 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 CombinationsPossible Combinations
$100 Prime/Composite
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The factor tree for the number 48 is shown below. According to the factor tree, which of the following statements is true?
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.
48
4 12
2 2 43
22
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$100 Prime/Composite
$200 Prime/Composite
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Which number is a prime number?
A. 36
B. 33
C. 27
D. 17
FOR EXAMPLE IS PRIME
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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….
Which number is a composite number?
$300 Prime/Composite
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A. 17
B. 25
C. 23
D. 7
Unlike
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$300 Prime/Composite
A. 17 is a prime number. It cannot be broken down.
D. 7 is a prime number. It cannot be broken down.
C. 23 is a prime number. It cannot be broken down.
B. 25 has two factors 5 x 5. SO…
Which group shows the prime factorization of the number 72?
$400 Prime/Composite
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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
Which group names ALL the factors of a composite number?
$500 Prime/Composite
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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
B. 1, 2, 4, 7, 14, 28
C. 1, 23
D. 1, 2, 5, 10, 20
NOT composite
20 is composite, but the factor 4 is missing.
10 is composite, but 3 is NOT a factor.
The table shows a set of related numbers. Which expression could be used to find x?
$100 Tables & Symbols
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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
D. 60 ÷ 4
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$100 Tables & Symbols
12
4
24
4
48
4
60
4
72
4
84
4
= 3 = 6 = 12 = X = 18 = 21
$200 Tables & Symbols
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Which expression best represents Jazz’s age in terms
of Marnia’s age?
Jazz's Age, x (years)
Marina's Age, y (years)
4 8
5 9
6 10
7 11
A. x + 4 B. 2x
C. y + 4 D. 2y
A. x + 4Back to
Jeopardy Board
$200 Tables & Symbols
Jazz's Age, x (years)
Marina's Age, y (years)
4 8
5 9
6 10
7 11+4 =
+4 =
+4 =
+4 =
$300 Tables & Symbols
A. 1(n) B. 6(n) C. n + 6 D. n + 36
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Area of Triangle (square units)
Area of Polygon (square units)
3 18
4 24
5 30
6 36
n
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?
B. 6 (n)Back to
Jeopardy Board
$300 Tables & Symbols Area of Triangle (square units)
Area of Polygon (square units)
3 18
4 24
5 30
6 36
n
6 x 3 =
6 x 4 =
6 x 5 =
6 x 6 =
6 x n =
$400 Tables & Symbols
Click here to check Click here to check your answeryour answer
Side Length (units)Volume (cubic
units)
3 27
5 125
n
9 729
Which expression can be used to find
the volume, in cubic units, of a
similar cube with a side length of n
units?A. n + n + n
B. n
C. 9n
D. 98 + n
3
B. nBack to
Jeopardy Board
$400 Tables & Symbols
Side Length (units) Volume (cubic units)
3 27
5 125
n
9 729
3 x 3 x 3 =
5 x 5 x 5 =
n x n x n =
9 x 9 x 9 =
3
A. 3n B. n (n + n)
C. n D. n (n + 1)(n + 2)
$500
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Length Width Height Volume
1 2 3 6
2 3 4 24
3 4 5 60
n
Which expression can be used to find the volume of a similar rectangular prism with a length of n units?
3
D. n (n + 1)(n + 2)Back to
Jeopardy Board
$500 Tables & Symbols
Length Width Height Volume
1 2 3 6
2 3 4 24
3 4 5 60
n n (n + 1)(n + 2) =
1 ( 1 + 1 ) ( 1 + 2 ) = 6
2 ( 2 + 1 ) ( 2 + 2 ) = 24
3 ( 3 + 1 ) ( 3 + 2 ) = 60
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?
$100 Formulate and equation
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A. t = 26.50 - 3.98
B. t = 2(26.50) – 3.98
C. t = 2(3.98) – 2(26.50)
D. t = 2(26.50) – 2(3.98)
D. t = 2(26.50) – 2(3.98)Back to
Jeopardy Board
$100 Formulate and equation
$3.98
OFF
$26.50
$26.50
2 x 26.50 2 x 3.98
$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?
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A . T = (212 x 4) + 30
B. T = 4 x (212 + 30)
C. T = (212 + 30) ÷ 4
D. T = (212 ÷ 4) + 30
Correct
D. T = (212 ÷ 4) + 30
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$200 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?
$300 Formulate and equation
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A. s = 78 ÷ 3 B. s = 75 – 3
C. s = 78 x 3 D. s = 78 + 3
A. s = 78 ÷ 3
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$300 Formulate and equation
What number sentence can be used to determine n, the eighth
number in the pattern?
$400 Formulate and equation
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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
D. n = 4 x 8Back to
Jeopardy Board
$400 Formulate and equation
The 8 th place in the multiples of four.
First
number
in the
pattern
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?
$500 Formulate and equation
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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
A. 40 ÷ 5 = 8, so 8 x 20 = 160 minutes
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$500 Formulate and equation
$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?
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A.1/25 B. ¼
C. 2/5 D. ¾
D.¾ Had NOT taken pictures
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$100 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?
$200 Potpourri NOT
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A. 180 B. 200
C. 120 D. 240
C.120 did NOT Back to
Jeopardy Board
$200 Potpourri NOT
180/300 Do have
120/300 Do NOT
Which group contains fractions NOT equivalent to 2/3?
$300 Potpourri NOT
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A. 12 , 14 , 16 B. 2 , 3 , 4
18 21 24 6 9 12
C. 6 , 8 , 10 D. 4 , 10 , 20
9 12 15 6 15 30
B. 2/6, 3/9, 4/12Back to
Jeopardy Board
$300 Potpourri NOT
2 x 1 = 2 2
3 x 1 = 3 NOT 6
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.
$400 Potpourri NOT
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A. Divide $90 by 9 C. Divide $60 by 6
B. Subtract $60 from $90 D. Subtract $70 from $80
Week of School
Total Amount
Spent
6 $60
7 $70
8 $80
9 $90
Which is NOT a way to find how much money Maria spends on lunches each week?
B. Subtract $60 from $90
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$400 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?
$500 Potpourri NOT
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A. 1 hour 30 min. B. 90 min.
C. 60 min. D. 1 ½ hours
C. One hour Back toJeopardy
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$500 Potpourri NOT
6 min. = ?X 15 = 90 min.
NOT
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