Patterns, Relationships, and Algebraic Reasoning By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

transcript

Patterns, Relationships, and Algebraic Reasoning

By Mrs. OreBRAWNER INTERMEDIATE

GRANBURY ISD

100 100

300 300

500500 500 500

400400 400 400 400

Potpourri NOT

PossiblePossible

CombinationsCombinations

Formulate and equation

Tables & Symbols

Composite

Patterns, Relationships, & Reasoning

$100 Possible CombinationsPossible Combinations

Click here to check Click here to check your answeryour answer

Ishma has to choose teams of 2 people for a game. Each team must have 1boy and 1girl.

How many different team combinations are possible using these boys and girls?

Back toJeopardy

Correct answer is

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

Back toJeopardy

D.345, 354, 453, 435, 534, 543

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

Back toJeopardy

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

Back toJeopardy

3 (choices) X 3 (choices) X 2 (choices) =

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

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

Back toJeopardy

$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?

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.

2 2 43

Back toJeopardy

Which number is a prime number?

FOR EXAMPLE IS PRIME

Back toJeopardy

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?

Unlike

Back toJeopardy

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?

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

Back toJeopardy

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?

A. 1, 3, 5, 10

B. 1, 2, 4, 7, 14, 28

C. 1, 23

D. 1, 2, 5, 10, 20

Back toJeopardy

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

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

Back toJeopardy

= 3 = 6 = 12 = X = 18 = 21

Which expression best represents Jazz’s age in terms

of Marnia’s age?

Jazz's Age, x (years)

Marina's Age, y (years)

A. x + 4 B. 2x

C. y + 4 D. 2y

A. x + 4Back to

Jeopardy Board

Jazz's Age, x (years)

Marina's Age, y (years)

7 11+4 =

A. 1(n) B. 6(n) C. n + 6 D. n + 36

Area of Triangle (square units)

Area of Polygon (square units)

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)

6 x 3 =

6 x 4 =

6 x 5 =

6 x 6 =

6 x n =

Side Length (units)Volume (cubic

units)

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

D. 98 + n

B. nBack to

Jeopardy Board

Side Length (units) Volume (cubic units)

3 x 3 x 3 =

5 x 5 x 5 =

n x n x n =

9 x 9 x 9 =

A. 3n B. n (n + n)

C. n D. n (n + 1)(n + 2)

Length Width Height Volume

1 2 3 6

2 3 4 24

3 4 5 60

Which expression can be used to find the volume of a similar rectangular prism with a length of n units?

D. n (n + 1)(n + 2)Back to

Jeopardy Board

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

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

$26.50

2 x 26.50 2 x 3.98

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

Correct

D. T = (212 ÷ 4) + 30

Back toJeopardy

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

A. s = 78 ÷ 3

Back toJeopardy

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

D. n = 4 x 8Back to

Jeopardy Board

The 8 th place in the multiples of four.

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?

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

Back toJeopardy

$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

D.¾ Had NOT taken pictures

Back toJeopardy

$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

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

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

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

Which is NOT a way to find how much money Maria spends on lunches each week?

B. Subtract $60 from $90

Back toJeopardy

$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

A. 1 hour 30 min. B. 90 min.

C. 60 min. D. 1 ½ hours

C. One hour Back toJeopardy

$500 Potpourri NOT

6 min. = ?X 15 = 90 min.

Patterns, Relationships, and Algebraic Reasoning By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

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