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

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Jeopardy Obj. 2. Patterns, Relationships, and Algebraic Reasoning By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD. Patterns, Relationships, & Reasoning. Possible Combinations. Prime Composite. Tables & Symbols. Formulate and equation. Potpourri NOT. 100. 100. 100. 100. 100. - PowerPoint PPT Presentation
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Patterns, Relationships, and Algebraic Reasoning By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD
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Page 1: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

Patterns, Relationships, and Algebraic Reasoning

By Mrs. OreBRAWNER INTERMEDIATE

GRANBURY ISD

Page 2: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

500

100

200

300

100 100

300

200

300 300

200

100

200

500500 500 500

300

100

400400 400 400 400

Potpourri NOT

PossiblePossible

CombinationsCombinations

Formulate and equation

Tables & Symbols

Prime

Composite

200

Patterns, Relationships, & Reasoning

Page 3: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

$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.

A. 8

B. 12

C. 16

D. 4

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

Page 4: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

Back toJeopardy

Board

$100 Possible CombinationsPossible Combinations

Correct answer is

C. 16

Page 5: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

$200 Possible CombinationsPossible Combinations

Click here to check Click here to check your answeryour answer

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

Page 6: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

Back toJeopardy

Board

$200 Possible CombinationsPossible Combinations

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

Page 7: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

$300 Possible CombinationsPossible Combinations

Click here to check Click here to check your answeryour answer

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

Page 8: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

Back toJeopardy

Board

$300 Possible CombinationsPossible Combinations

Page 9: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

$400 Possible CombinationsPossible Combinations

Click here to check Click here to check your answeryour answer

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

Page 10: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

Back toJeopardy

Board

$400 Possible CombinationsPossible Combinations

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

Page 11: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

$500 Possible CombinationsPossible Combinations

Click here to check Click here to check your answeryour answer

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

Page 12: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

Back toJeopardy

Board

$500 Possible CombinationsPossible Combinations

Page 13: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

$100 Prime/Composite

Click here to check Click here to check your answeryour answer

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

Page 14: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

Back toJeopardy

Board

$100 Prime/Composite

Page 15: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

$200 Prime/Composite

Click here to check Click here to check your answeryour answer

Which number is a prime number?

A. 36

B. 33

C. 27

D. 17

FOR EXAMPLE IS PRIME

Page 16: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

Back toJeopardy

Board

$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….

Page 17: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

Which number is a composite number?

$300 Prime/Composite

Click here to check Click here to check your answeryour answer

A. 17

B. 25

C. 23

D. 7

Unlike

Page 18: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

Back toJeopardy

Board

$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…

Page 19: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

Which group shows the prime factorization of the number 72?

$400 Prime/Composite

Click here to check Click here to check your answeryour answer

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

Page 20: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

Back toJeopardy

Board

$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

Page 21: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

Which group names ALL the factors of a composite number?

$500 Prime/Composite

Click here to check Click here to check your answeryour answer

A. 1, 3, 5, 10

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

C. 1, 23

D. 1, 2, 5, 10, 20

Page 22: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

Back toJeopardy

Board

$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.

Page 23: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

The table shows a set of related numbers. Which expression could be used to find x?

$100 Tables & Symbols

Click here to check Click here to check your answeryour answer

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

Page 24: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

D. 60 ÷ 4

Back toJeopardy

Board

$100 Tables & Symbols

12

4

24

4

48

4

60

4

72

4

84

4

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

Page 25: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD
Page 26: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

$200 Tables & Symbols

Click here to check Click here to check your answeryour answer

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

Page 27: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

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 =

Page 28: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

$300 Tables & Symbols

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

Click here to check Click here to check your answeryour answer

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?

Page 29: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

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 =

Page 30: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

$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

Page 31: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

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

Page 32: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

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

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

$500

Click here to check Click here to check your answeryour answer

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

Page 33: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

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

Page 34: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

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

Click here to check Click here to check your answeryour answer

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)

Page 35: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

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

Page 36: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

$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?

Click here to check Click here to check your answeryour answer

A . T = (212 x 4) + 30

B. T = 4 x (212 + 30)

C. T = (212 + 30) ÷ 4

D. T = (212 ÷ 4) + 30

Page 37: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

Correct

D. T = (212 ÷ 4) + 30

Back toJeopardy

Board

$200 Formulate and equation

Page 38: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

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

Click here to check Click here to check your answeryour answer

A. s = 78 ÷ 3 B. s = 75 – 3

C. s = 78 x 3 D. s = 78 + 3

Page 39: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

A. s = 78 ÷ 3

Back toJeopardy

Board

$300 Formulate and equation

Page 40: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

What number sentence can be used to determine n, the eighth

number in the pattern?

$400 Formulate and equation

Click here to check Click here to check your answeryour answer

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

Page 41: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

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

Page 42: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

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

Click here to check Click here to check your answeryour answer

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

Page 43: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

A. 40 ÷ 5 = 8, so 8 x 20 = 160 minutes

Back toJeopardy

Board

$500 Formulate and equation

Page 44: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

$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?

Click here to check Click here to check your answeryour answer

A.1/25 B. ¼

C. 2/5 D. ¾

Page 45: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

D.¾ Had NOT taken pictures

Back toJeopardy

Board

$100 Potpourri NOT

Page 46: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

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

Click here to check Click here to check your answeryour answer

A. 180 B. 200

C. 120 D. 240

Page 47: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

C.120 did NOT Back to

Jeopardy Board

$200 Potpourri NOT

180/300 Do have

120/300 Do NOT

Page 48: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

Which group contains fractions NOT equivalent to 2/3?

$300 Potpourri NOT

Click here to check Click here to check your answeryour answer

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

Page 49: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

B. 2/6, 3/9, 4/12Back to

Jeopardy Board

$300 Potpourri NOT

2 x 1 = 2 2

3 x 1 = 3 NOT 6

Page 50: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

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

Click here to check Click here to check your answeryour answer

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?

Page 51: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

B. Subtract $60 from $90

Back toJeopardy

Board

$400 Potpourri NOT

Page 52: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

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

Click here to check Click here to check your answeryour answer

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

C. 60 min. D. 1 ½ hours

Page 53: Patterns, Relationships, and Algebraic Reasoning   By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD

C. One hour Back toJeopardy

Board

$500 Potpourri NOT

6 min. = ?X 15 = 90 min.

NOT


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