for Middle School

Transcription

1 for Middle School

2 Grid Games for Middle School Melisa Rice A publication of GridGamesGalore 8087 County Road 0, Ada, OK 780

3 Grid Games for Middle School Grid Games is an assortment of fun activities covering numerous concepts, including basic operations involving whole numbers, decimals, fractions, and integers as well as equations, linear functions, and much more. Students work problems while trying to get - in-a-row to win the game. Each activity is run off on card stock. The only other items necessary to play the games are bingo chips, a number die and a letter die. Contact: gridgames@wildrice.com

4 TABLE OF CONTENTS Rules for playing Grid Games Suggestions I. Operations Basic Addition Solve each basic addition problem involving digits or less Basic Subtraction Solve each basic subtraction problem involving digits or less Basic Multiplication Solve each basic multiplication problem involving digits or less Basic Division Solve each basic division problem, no remainders Addition Solve each addition problem Subtraction Solve each subtraction problem Multiplication Solve each multiplication problem Division Solve each division problem, no remainders Decimal Add Solve each decimal problem involving addition Decimal Subtract Solve each decimal problem involving subtraction Decimal Multiply Solve each decimal problem involving multiplication Decimal Division Solve each decimal problem involving division Fraction Add and Subtract Solve each fraction problem involving addition and subtraction, no borrowing Fraction Add and Subtract Solve each fraction problem involving addition and subtraction, borrowing necessary

5 TABLE OF CONTENTS (continued) I. Operations (continued) Fraction Multiply and Divide Solve each fraction problem involving multiplication and division Integer +- Solve each integer expression involving addition and subtraction Integer */ Solve each integer expression involving multiplication and division II. Expressions and Simplification Substitution Solve each expression involving substitution Changing Fractions to Decimals and Percents Change the given fraction to a percent and/or decimal Changing Decimals to Fractions and Percents Change the given decimal to a fraction and/or percent Changing Percents to Fractions and Decimals Change the given percent to a fraction and/or decimal Exponents Solve each basic exponent Proportions Solve each proportion problem or story problem Inequalities Identify each inequality graphed on a number line III. Linear functions Slope Given a graph, find slope Slope A Given a line in slope-intercept form, find slope Finding m & b Given a line in slope-intercept form, find slope and y-intercept

6 TABLE OF CONTENTS (continued) III. Linear functions (continued) Finding Lines Given slope and y-intercept, find the equation of the line in slope-intercept form Finding Lines Given the graph of a line, find the equation of the line in slope-intercept form IV. Perimeter, Area, Surface Area and Volume Polygons Find perimeter and area of each polygon Circles Find circumference and area of each circle given radius or diameter Surface Area Find surface area of each prism given Volume Find volume of each prism given V. Equations One-step Equations Solve each one step equation Two-step Equations Solve each two step equation

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8 RULES TO PLAY "GRID GAMES". Divide the class into groups of no more than students - two students will play the game and one student is the answer person. Then have the students place their desks so the two players are facing each other and the answer person is sitting to the side.. Each group is then given the following: Game sheet answer key Bingo chips in two colors dice - one number die and the other with the letters A, B, C, D, E and F. Place the game sheet between the two players. The answer person receives the answer key.. Each player then rolls the number die. High roll is Player, who begins the game.. Player rolls both dice and finds the corresponding location on the grid. For example, Player rolls C. He moves right to C and down.. Player then proceeds to answer the question in the corresponding grid. If he answers the question correctly, he places a bingo chip on the square. If he does not answer the question correctly, Player may answer the question and cover the square. 7. Player then rolls the dice and answers the question. As above, if Player answers the question correctly, he covers it with a bingo chip. If he misses it, Player may answer the question. 8. Player then rolls the dice. Play continues until one player has chips in a row, either horizontally, vertically, or diagonally. 9. If a player rolls the dice and the square has already been covered, the player will roll again. 0. The winner then trades places with the answer person and the game begins again.. If only two people must be in a group, then Player checks the answer when Player attempts to answer the question correctly. But Player may not answer the question if Player answers it incorrectly. Play continues if Player answers it incorrectly. Play continues with Player until someone wins.

9 SUGGESTIONS. Run off all game sheets and answer sheets on color cardstock. This is much sturdier than regular color paper.. Run similar concepts off using different colors of card stock.. Use two or three different concepts during the activity day. Alternate game sheets with different groups during the class period.. Use the game sheets as review worksheets. Students answer the questions directly on the game sheet.. To make the game last longer, students must get in a row to win. ALTERNATIVE IDEAS Give each student a die. They roll and first one to answer the question on that square gets to cover the square. Use as a game of strategy with no dice. The students choose their square based on their opponent's play. Use sheet protectors and markers instead of chips. The students initial their squares when they answer the question correctly. If two play, write answers on index cards (example - C). The players play as with three people, but once the answer has been given, they turn over the corresponding card and check their answer.

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11 Basic Addition Find the sum of each:

12 Basic Subtraction Find the difference of each below:

13 Basic Multiplication Find each product below: 7 x 7 x 00 x 9 x 9 9 x x 8 9 x x 8 x 9 x 7 x 8 9 x 7 x 8 9 x 7 x 0 x 8 x 7 x 9 9 x x 7 0 x 8 8 x 80 x 8 7 x 7 7 x 90 x 9 9 x 8 x 7 x 8 7 x 9 x 9 87 x 7 8 x 80 8 x 8 x 8 x

14 Basic Division Find the quotient of each below:

15 ADDITION Find the sum of each below:

16 Subtraction Find the difference of each below:

17 Multiplication Find the product of each below: x 8 x x 9 x 9 x 00 x 87 x 0 x 9 7 x 7 x x x 8 8 x 7 0 x 8 x 8 x 8 x x 8 x x 7 x x x 0 0 x 8 87 x 0 x 80 x 7 x x 7 70 x 9 x 7 88 x x 8 7 x x 7 x 9

18 Division Find the quotient of each below:

19 Decimal Add Find the sum of each below:

20 Find the difference of each below:

21 Decimal MultiplyFind the x 0. x.8 x. x.0 x.0 x. 0. x. 7. x.. x. 8. x. 8.8 x..9 x 8 9. x. 8.7 x.7.88 x 0 9. x. 8 x x. 9.9 x.9 x x 8.8 x 0.0. x.7 7. x x.7 x 7.0 product of each below:.9 x 8. x.09. x 9. x. 8 x..08 x. 9. x..8 x x x.

22 Decimal Division Find the quotient of each below:

23 Fraction +- Add or Subtract each fraction with common denominators

24 Fraction +- Add or Subtract each fraction

25 Fraction MD Solve each problem below:

26 Integer+- Find each sum or difference: 8+(-) -(9-7) 8--(-) +(-) (8-) (-) -(-8-) (-) -7+(-+) 7+(-)+(-) - 8-(-) -(-)-0 +(-) (-) (-) (-8)-(-) (-7) +(-) (--)+ -(-9) (-8+) -(-8-)

27 Integer Find each product or quotient - (-)(-) (-7)(-)(-) 8 x -(7)(-)(-) - (-0) (-)³ 8(-x) ( )( ) 0x y (-)(-)()(-) ( 9)( ) -8 - (-)()() + ( 0)( ) a x+ ( y) 7 0x+ y 8z ()(-)( -) 8 ((-)²)² -(-)(-)(0) (x)(-7y) - -(-9y) 0 ( x)( 8y) - - ( ) ( ) 7 ( )( ) (-)² 8 x

28 Substitution a = b = - c = d = - e = f = / g = -/ adb d-a c d 7 c(b+e) e a+b -9g ea+c -a + c e+ a f a-g f+a -b+7d 7c a ed cef -b (e-d)² cb+ e a c c-d agc f-g f (+b) a -bf 8de f+d gf 9g (a+b)(c-d) 8f-9d -0f fg b a c

29 Changing Fractions Change each fraction to a decimal and a percent: /00 /0 7/0 9/00 /0 / /0 / 9/ / /0 7/0 / / / / 7/0 9/0 /0 / /00 /0 / / / / 9/0 7/00 9/0 9/0 /0 /0 / / / 9/0

30 Changing Decimals Change each decimal to a fraction and a percent:

31 Changing Percents Change each percent to a decimal and a fraction: % % % 9% % 8% % % % 0% % 8% % 0% 0% % 70% 90% % % % % 7% 9% 8% % % 7% 78% 9% 0% 0% 8% 0% 80% 98%

32 Exponents A B C D Solve each exponent problem below E F

33 Proportions Solve each proportion: = n The ratio of red socks to blue socks is to. If Sue has blue socks, how many red socks does she have? 7 = n n = n = 7 The ratio of green blocks to yellow blocks is to. = n n If there are 0 green blocks, how many yellow 9 7 blocks are there? 7 8 = = n 9 n 9 n n = = n = 9 7 n 08 = 9 99 = The sides of the rectangle are at the ratio to. If the shorter side is, what is the length of the longer side? The ratio of boys to girls is to. If there are 0 girls, how many boys? 8 n = 08 = n The ratio of boys to girls is 9 to 7. If there are 7 boys, how many girls? 7 n = 9 99 n = = n n The ratio of green blocks to yellow blocks is to. If there are 0 yellow blocks, how many green blocks are there? The ratio of boys to girls is to. If there are 7 boys, how many girls? 7 = n 9 n = 9 The ratio of red socks to blue socks is to. If Sue has 7 red socks, how many blue socks does she have? 80 = = n The sides of the rectangle are at the ratio to. If the longer side is, what is the length of the shorter side? n = n The ratio of boys to girls is 9 to 7. If there are 8 girls, how many boys are there? 9 = = n n = 9

34 Inequalities Identify each inequality graphed below:

35 SLOPE Find the slope for each graph below:

36 SLOPE A Find the slope for each equation below: y = x - y = x y = /x + y = - y = - - /x y = / x + y = /x + x = - y = -/x + y = + x y = -x + y = 7x + y = -/x y = x y = x - y = - /x y = /x - y = y = x + 8 y = x y = -/x - y = - /x y = -/x + y = - x y = - x y = -/x + y = -7 - x y = 7x - y = -x + y = /x - y = -x + y = /x - 8 y = - - /x x = y = - /x y = /x +

37 Finding m & b Find slope and y-intercept of each equation below: y = x - y = x y = /x + y = - y = - - /x y = / x + y = /x + x = - y = -/x + y = + x y = -x + y = 7x + y = -/x y = x y = x - y = - /x y = /x - y = y = x + 8 y = x y = -/x - y = - /x y = -/x + y = - x y = - x y = -/x + y = -7 - x y = 7x - y = -x + y = /x - y = -x + y = /x - 8 y = - - /x x = y = - /x y = /x +

38 Finding Lines Given slope and y-intercept, find the line: m = b = - m = b = 0 m = / b = m = 0 b = - m = -/ b = - m = / b = m = / b = undefined slope and point (, ) m = -/ b = m = b = m = - b = m = 7 b = m = -/ b = 0 m = b = 0 m = b = - m = -/ b = m = / b = - m = 0 b = m = b = 8 m = b = 0 m = -/ b = - m = -/ b = m = -/ b = m = - b = m = - b = m = -/ b = m = - b = -7 m = 7 b = m = - b = m = / b = - m = - b = m = / b = -8 m = -/ b = - undefined slope and point (-,-) m = -/ b = m = / b =

39 Finding Lines Identify the equation of each line below:

40 Polygons Find the perimeter and/or area of each polygon below: square s = cm square s = in square s = in square s = 8 ft square s = yd

41 Circles C = πr = dπ A = πr² Find the circumference and/or area of each circle with the given radius (r) or diameter (d) 0 8 r = r = 9 r = r = 7 d = d = d = 9 r = 8 d = r = 9 d = 8 d = r = 8 d = r = d = d = d =

42 Surface Area SA prism = LW + LH + WH Find the Surface Area of each figure below:: 9 L= W= H= L= W= H= 7 cube with sides of L=8 W=0 H= 0 L= W= H=7 cube with sides of 7 cube with sides of 8 8 cube with sides of 9 L= W= H= L= W= H= 9 9 cube with sides of 7 cube with sides of L=8 W=8 H= L=0 W= H=0 L= W= H= 7 7 L= W= H= 0 cube with sides of

43 Volume 9 L= W= H= L= W= H= 7 V prism = LxWxH Find the volume of each figure below:: cube with sides of L=8 W=0 H= 0 L= W= H=7 cube with sides of 7 cube with sides of 8 8 cube with sides of 9 L= W= H= L= W= H= 9 9 cube with sides of 7 cube with sides of L=8 W=8 H= L=0 W= H=0 L= W= H= 7 7 L= W= H= 0 cube with sides of

44 One Step Equations Solve each equation below: k+=- 0=t+(-.) -=a+8 +c=- p+=- -+b= h+(-)=- 7=-k --a=- 8+m=-7 y+.=. h-=-9 -y=7 k-= m-(-)=7 t-(-)=9 y-=-7-7-b=-7 r=-8 -s=-8 w=- c=8 x=- 9x=0 =-y 7b=-9 -y=- k/8= h/=- =x/ -0=b/-7 c/-8=- t=7 y=-0 x=- x= 9

45 Two-Step Equations Solve x-7= 8+x= 0 z+= n-8= 8 + t-7= =n+ = p = 0 +7x=9 =8-t -x-7=8.n+=8. = d d 7 = + x+= =a- 9=y- 8-w=-7 m y + = x + = a+ = 7 8 c 8 = each equation below: x 7= 8 7 = + = + y =8-v c g + = d+ = 9 y = 9 + n = 7 n 8= b+ 8 = 0 7= n = m = w u+ =

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47 Basic Addition Answer Sheet Basic Addition Answer Sheet

48 Basic Subtraction Answer Sheet Basic Subtraction Answer Sheet

49 Basic Multiplication Answer Sheet Basic Multiplication Answer Sheet

50 Basic Division Answer Sheet Basic Division Answer Sheet

51 ADDITION ANSWER SHEET ADDITION ANSWER SHEET

52 Subtraction Answer Sheet Subtraction Answer Sheet

53 Multiplication Answer Sheet Multiplication Answer Sheet

54 Division Answer sheet Division Answer sheet

55 Decimal Add Answer Sheet Decimal Add Answer Sheet

56 Decimal Subtract Answer Sheet Decimal Subtract Answer Sheet

57 Decimal Multiply Answer Sheet Decimal Multiply Answer Sheet

58 Decimal Division Answer Sheet Decimal Division Answer Sheet

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60

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62 Integer+- Answer Sheet Integer+- Answer Sheet

63 Integer answer sheet - - x-y+z x x -x+y x -+a x-y 8-0 -xy y -xy - /7-9 Integer answer sheet - - x-y+z x x -x+y x -+a x-y 8-0 -xy y -xy - /7-9

64 Substitution answer sheet = = / -8 Substitution answer sheet = = / -8

65 Changing Fractions - Decimal answer Changing Fractions - Percent answer % % % 9% % 8% % % % 0% % 8% % 0% 0% % 70% 90% % % % % 7% 9% 8% % % 7% 78% 9% 0% 0% 8% 0% 80% 98%

66 Changing Decimals - Fraction answers /00 /0 7/0 9/00 /0 / /0 / 9/ / /0 7/0 / / / / 7/0 9/0 /0 / /00 /0 / / / / 9/0 7/00 9/0 9/0 /0 /0 / / / 9/0 Changing Decimals - Percent answers % % % 9% % 8% % % % 0% % 8% % 0% 0% % 70% 90% % % % % 7% 9% 8% % % 7% 78% 9% 0% 0% 8% 0% 80% 98%

67 Changing Percents - Decimal answers Changing Percents - Fraction answers /00 /0 7/0 9/00 /0 / /0 / 9/ / /0 7/0 / / / / 7/0 9/0 /0 / /00 /0 / / / / 9/0 7/00 9/0 9/0 /0 /0 / / / 9/0

68 Exponents Answer Sheet Exponents Answer Sheet

69 Proportions Answer Sheet 0 red socks 7 00 girls girls units green blocks units 9 blue socks 8 boys boys 8 00 green blocks 0 99 Proportions Answer Sheet 0 red socks 7 00 girls girls units green blocks units 9 blue socks 8 boys boys 8 00 green blocks 0 99

70 Inequalities Answer Sheet x -9 x=- x<-½ x x - x=-8 x< x -8 x -7 x=8 x> x - x< x - x -9 x x - x<- x - x=- x< x>- x=- x>- x - x x> x>-7 x<7 x= x<-7 x x=0 x x> x Inequalities Answer Sheet x -9 x=- x<-½ x x - x=-8 x< x -8 x -7 x=8 x> x - x< x - x -9 x x - x<- x - x=- x< x>- x=- x>- x - x x> x>-7 x<7 x= x<-7 x x=0 x x> x

71 SLOPE ANSWERS +/ -/ undefined -/ - + +/ 0 -/ -/ +/ -/ + - +/ +/ -/ + +/ undefined - -/ -/ -/ + +/ +/ +/ / -/ SLOPE ANSWERS +/ -/ undefined -/ - + +/ 0 -/ -/ +/ -/ + - +/ +/ -/ + +/ undefined - -/ -/ -/ + +/ +/ +/ / -/ + - -

72 SLOPE A answer sheet / 0 -/ / / undefined -/ - 7 -/ -/ / 0 -/ -/ -/ - - -/ / - / -/ undefined -/ / SLOPE A answer sheet / 0 -/ / / undefined -/ - 7 -/ -/ / 0 -/ -/ -/ - - -/ / - / -/ undefined -/ /

73 Finding m & b answer sheet m = b = - m = / b = m = -/ b = 0 m = b = 8 m = - b = m = - b = m = b = 0 undefined slope and no y-int m = b = 0 m = b = 0 m = -/ b = m = / b = -8 m = / b = m = -/ b = m = b = - m = -/ b = - m = - b = -7 m = -/ b = - m = 0 b = - m = b = m = -/ b = m = -/ b = m = 7 b = - undefined slope and no y-int m = -/ b = - m = - b = m = / b = - m = -/ b = m = - b = m = -/ b = m = / b = m = 7 b = m = 0 b = m = - b = m = / b = - m = / b = Finding m & b answer sheet m = b = - m = / b = m = -/ b = 0 m = b = 8 m = - b = m = - b = m = b = 0 undefined slope and no y-int m = b = 0 m = b = 0 m = -/ b = m = / b = -8 m = / b = m = -/ b = m = b = - m = -/ b = - m = - b = -7 m = -/ b = - m = 0 b = - m = b = m = -/ b = m = -/ b = m = 7 b = - undefined slope and no y-int m = -/ b = - m = - b = m = / b = - m = -/ b = m = - b = m = -/ b = m = / b = m = 7 b = m = 0 b = m = - b = m = / b = - m = / b =

74 Finding Lines answer sheet y = x - y = x y = /x + y = - y = -/x - y = / x + y = /x + x = y = -/x + y = x + y = -x + y = 7x + y = -/x y = x y = x - y = - /x + y = /x - y = y = x + 8 y = x y = -/x - y = -/x + y = -/x + y = -x + y = -x + y = -/x + y = -x - 7 y = 7x + y = -x + y = /x - y = -x + y = /x - 8 y = -/x - x = - y = -/x + y = /x + Finding Lines answer sheet y = x - y = x y = /x + y = - y = -/x - y = / x + y = /x + x = y = -/x + y = x + y = -x + y = 7x + y = -/x y = x y = x - y = - /x + y = /x - y = y = x + 8 y = x y = -/x - y = -/x + y = -/x + y = -x + y = -x + y = -/x + y = -x - 7 y = 7x + y = -x + y = /x - y = -x + y = /x - 8 y = -/x - x = - y = -/x + y = /x +

75 Finding Lines answer sheet y = x- y = -x- y = /x y = -/x+ y = x y = -x+ y = - y = x y = /x+ y = /x+ y = x+ y = x + y = -x- y = -x+ y = x+ y = -x- x = y = /x- y = x- y = -/x+ y = /x y = -x+ y = -x- y = x- y = -/x- y = /x- y = x- y = /x- y = -/x- y = y = -/x+ y = -x+ x = - y = -/x- y = /x- y = -/x- Finding Lines answer sheet y = x- y = -x- y = /x y = -/x+ y = x y = -x+ y = - y = x y = /x+ y = /x+ y = x+ y = x + y = -x- y = -x+ y = x+ y = -x- x = y = /x- y = x- y = -/x+ y = /x y = -x+ y = -x- y = x- y = -/x- y = /x- y = x- y = /x- y = -/x- y = y = -/x+ y = -x+ x = - y = -/x- y = /x- y = -/x-

76 Polygons perimeter answer sheet cm. in in. 0 8 ft yd. 0 8 Polygons area answer sheet 0 sq.cm. sq. in sq. in sq. ft. 0 0 sq. yd. 0 8

77 Circles answer sheet P= π P= π P= 0π P= 8π P= 8π P= π A= π A= 9π A= 00π A= 8π A= π A= 9π P= π P= π P= 8π P= π P= π P= 0π A= π A= 8π A= π A= 9π A= 9π A= π P= π P= π P= 9π P= π P= 0π P= π A= 78π A= ¼π A= 0.π =8/π A= π A= 00π A= π P= 8π P= π P= 8π P= π P= π P= 0π A= 8π A= π A= π A= π A= 9π A= π P= π P= π P= π P= π P= 0π P= 0π A= π A= π A= π A= 9π A= 00π A= π P= 8π P= π P= 0π P= π P= 8π P= π A= 9π A= ¼π A= 00π A= π A= 9π A=.π =/π

78 Surface Area Answer Sheet Surface Area Answer Sheet

79 Volume Answer Sheet Volume Answer Sheet

80 One Step Equations answer sheet / 8/ -9 0/9 - - / One Step Equations answer sheet / 8/ -9 0/9 - - /

81 Two-Step Equations answer sheet / Two-Step Equations answer sheet /

82 About the author: Melisa Rice has been an Oklahoma high school teacher for over 8 years. Throughout her career, she has served on numerous committees at both the local and state level to help improve the teaching of mathematics in Oklahoma. She is a local staff development trainer, and has presented numerous workshops on mathematics teaching at school districts across the state. She is a National Board Certified Teacher in Early Adolescent Mathematics, was selected as a teacher-of-the-year finalist for the State of Oklahoma in 00 and was the 99 Oklahoma Presidential Award for Excellence in Mathematics winner. She and her husband, Chris, reside in Ada, where Melisa is currently teaching mathematics at Shawnee High School. gridgames@wildrice.com

83 SHIP TO: Mail: Online: EASY WAYS TO ORDER GridGamesGalore 7 Skagg City Road Tecumseh, OK gridgames@wildrice.com using PayPal or credit card Name: Street: City: State Zip Date Phone: SCHOOLS, CALL FOR BULK RATES. Quantity Product Description Price Each Price Grid Games Elementary GG Activity Book Multiplication GG Activity Book Middle School GG Activity Book Algebra I GG Activity Book Algebra GG Activity Book Geometry GG Activity Book $0.00 $0.00 $0.00 $0.00 $0.00 $0.00 MatchingMania Elementary MatchingMania Book Multiplication MatchingMania Middle School MatchingMania Book Algebra I MatchingMania Book Advanced Math MatchingMania Book Geometry MatchingMania Book Remediation MatchingMania Book Teacher Toolkit includes any book, dice and chips Bingo Chips ( colors of 0 chips) Dot Dice (set of 0 dice) Blank Dice (set of 0 dice) $0.00 $0.00 $0.00 $0.00 $0.00 $0.00 $0.00 $7.00 $.00 $.0 $.0 Total cost of Merchandise SHIPPING CHARGES: 0% of total cost Shipping Charges TOTAL