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

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Presentation on theme: "Patterns, Relationships, and Algebraic Reasoning By Mrs. Ore BRAWNER INTERMEDIATE GRANBURY ISD."— Presentation transcript:

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

3 500 100 200 300 100 300 200 300 200 100 200 500 300 100 400 Potpourri NOTPossibleCombinations Formulate and equation Tables & Symbols Prime Composite 200 Patterns, Relationships, & Reasoning

4 Possible Combinations $100 Possible Combinations Click here to check Click here to check your answer your 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?

5 Back to Jeopardy Board Possible Combinations $100 Possible Combinations Correct answer is C. 16

6 Possible Combinations $200 Possible Combinations Click here to check Click here to check your answer your 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

7 Back to Jeopardy Board Possible Combinations $200 Possible Combinations D. 345, 354, 453, 435, 534, 543

8 Possible Combinations $300 Possible Combinations Click here to check Click here to check your answer your 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.5B. 7 C. 10D. 12

9 Back to Jeopardy Board Possible Combinations $300 Possible Combinations

10 Possible Combinations $400 Possible Combinations Click here to check Click here to check your answer your 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

11 Back to Jeopardy Board Possible Combinations $400 Possible Combinations 3 (choices) X 3 X 2 =

12 Possible Combinations $500 Possible Combinations Click here to check Click here to check your answer your answer Mr. Marcus is buying a new car. He can choose from the features listed below. COLORDOORSOTHER Blue 2Radio Silver 4CD/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

13 Back to Jeopardy Board Possible Combinations $500 Possible Combinations

14 $100 Prime/Composite Click here to check Click here to check your answer your 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. 48 412 2243 22

15 Back to Jeopardy Board $100 Prime/Composite

16 $200 Prime/Composite Click here to check Click here to check your answer your answer Which number is a prime number? A. 36 B. 33 C. 27 D. 17 FOR EXAMPLE IS PRIME

17 Back to Jeopardy 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….

18 Which number is a composite number? $300 Prime/Composite Click here to check Click here to check your answer your answer A. 17 B. 25 C. 23 D. 7 Unlike

19 Back to Jeopardy 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…

20 Which group shows the prime factorization of the number 72? $400 Prime/Composite Click here to check Click here to check your answer your 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

21 Back to Jeopardy 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

22 Which group names ALL the factors of a composite number? $500 Prime/Composite Click here to check Click here to check your answer your answer A. 1, 3, 5, 10 B. 1, 2, 4, 7, 14, 28 C. 1, 23 D. 1, 2, 5, 10, 20

23 Back to Jeopardy 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.

24 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 answer your answer 122448607284 3612X1821 A.12 x 2 B. 12 + 36 C. 60 – 12 D. 60 ÷ 4

25 D. 60 ÷ 4 Back to Jeopardy Board $100 Tables & Symbols 12 4 24 4 48 4 60 4 72 4 84 4 = 3 = 6 = 12 = X = 18 = 21

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27 $200 Tables & Symbols Click here to check Click here to check your answer your answer Which expression best represents Jazz’s age in terms of Marnia’s age? Jazz's Age, x (years) Marina's Age, y (years) 48 59 610 711 A.x + 4 B. 2x C. y + 4 D. 2y

28 A. x + 4 Back to Jeopardy Board $200 Tables & Symbols Jazz's Age, x (years) Marina's Age, y (years) 48 59 610 711 +4 =

29 $300 Tables & Symbols A. 1(n) B. 6(n) C. n + 6 D. n + 36 Click here to check Click here to check your answer your answer Area of Triangle (square units) Area of Polygon (square units) 318 424 530 636 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?

30 B. 6 (n) Back to Jeopardy Board $300 Tables & Symbols Area of Triangle (square units) Area of Polygon (square units) 318 424 530 636 n 6 x 3 = 6 x 4 = 6 x 5 = 6 x 6 = 6 x n =

31 $400 Tables & Symbols Click here to check Click here to check your answer your answer Side Length (units) Volume (cubic units) 327 5125 n 9729 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

32 B. n Back to Jeopardy Board $400 Tables & Symbols Side Length (units)Volume (cubic units) 327 5125 n 9729 3 x 3 x 3 = 5 x 5 x 5 = n x n x n = 9 x 9 x 9 = 3

33 A. 3n B. n (n + n) C. n D. n (n + 1)(n + 2) $500 Click here to check Click here to check your answer your answer LengthWidthHeightVolume 1236 23424 34560 n Which expression can be used to find the volume of a similar rectangular prism with a length of n units? 3

34 D. n (n + 1)(n + 2) Back to Jeopardy Board $500 Tables & Symbols LengthWidthHeightVolume 1236 23424 34560 n n (n + 1)(n + 2) = 1 ( 1 + 1 ) ( 1 + 2 ) = 6 2 ( 2 + 1 ) ( 2 + 2 ) = 24 3 ( 3 + 1 ) ( 3 + 2 ) = 60

35 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 answer your 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)

36 D. t = 2(26.50) – 2(3.98) Back to Jeopardy Board $100 Formulate and equation $ 3. 9 8 O F F $26.50 2 x 26.502 x 3.98

37 $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 answer your answer A. T = (212 x 4) + 30 B. T = 4 x (212 + 30) C. T = (212 + 30) ÷ 4 D. T = (212 ÷ 4) + 30

38 Correct D. T = (212 ÷ 4) + 30 Back to Jeopardy Board $200 Formulate and equation

39 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 answer your answer A. s = 78 ÷ 3 B. s = 75 – 3 C. s = 78 x 3 D. s = 78 + 3

40 A. s = 78 ÷ 3 Back to Jeopardy Board $300 Formulate and equation

41 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 answer your 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

42 D. n = 4 x 8 Back to Jeopardy Board $400 Formulate and equation T h e 8 t h p l a c e i n t h e m u l t i p l e s o f f o u r. F i r s t n u m b e r i n t h e p a t t e r n

43 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 answer your 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

44 A. 40 ÷ 5 = 8, so 8 x 20 = 160 minutes Back to Jeopardy Board $500 Formulate and equation

45 $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 answer your answer A.1/25 B. ¼ C. 2/5 D. ¾

46 D.¾ Had NOT taken pictures Back to Jeopardy Board $100 Potpourri NOT

47 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 answer your answer A. 180 B. 200 C. 120 D. 240

48 C.120 did NOT Back to Jeopardy Board $200 Potpourri NOT 180/300 Do have 120/300 Do NOT

49 Which group contains fractions NOT equivalent to 2/3? $300 Potpourri NOT Click here to check Click here to check your answer your 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

50 B. 2/6, 3/9, 4/12 Back to Jeopardy Board $300 Potpourri NOT 2 x 1 = 2 2 3 x 1 = 3 NOT 6

51 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 answer your 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?

52 B. Subtract $60 from $90 Back to Jeopardy Board $400 Potpourri NOT

53 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 answer your answer A. 1 hour 30 min. B. 90 min. C. 60 min. D. 1 ½ hours

54 C. One hour Back to Jeopardy Board $500 Potpourri NOT 6 min. = ? X 15 = 90 min. NOT


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