Upper Elementary. Math Task Cards Answer Key

Transcription

1 Upper Elementary Math Task Cards Answer Key

2 Upper Elementary Advanced Math Published by ETCmontessori

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4 Advanced Math Answer Key Multiplication of a Binomial A1 A2 A A4 2 x 46 = 1,058 1) 2,294 2) 1,596 ) 1,76 4) 1,817 1) 17,66 2) 17,5 2) 22,008 4) 2,408 1) 89,81 2) 210,8 ) 25,122 4) 56,400 (40 + 6) x (20 + 8) (50 + 9) x (0 + 8) (90 + ) x (70 + 2) (50 + 2) x (60 + 4) (0 + ) x (10 + 7) = = = = = = = = = = 196 ) = 60 2) 120 = 5 x 24 1) 74 2 = 7 4) 6 x = 52 A5 Answers will vary 1) ( ) 2 = 50 A6 Drawing a Binomial and a Trinomial A7 A = 196 The partial product is in the lattice. Draw a vertical line from the decimal point through the lattice. ) (148-52) = 2 Multiply the decimal place values to find the decimal point placement A slide rule is a mechanical device used for quick calculations. It is used for x,, functions, and trigonometry. Answer is given on the card. 8(65 5) = 104 It has been replaced by the calculator. 1) 5,28 2) 4,29 2, = 2,226 $2.69 (96 8) = $2.28 ) 4,151 4), = 952 A9 1) 8,292 2) 10,872 ) 4,14 4) 2,442 1, = 1, = 1,12 2 x 12 = 8 A10 1) 90 2) ,000 4,000 16, , ,000 0,000 1,200 1, (45 x 8) = 2,160 1, , ,425 18,8 60,000 24,000 2,700 0,000 6, A11 Answers will vary. 1,600 12, , ,200 21, , (0-4) 60 = 1 106,52 6,684

5 A12 Answers will vary. 60,000 12, , ,594 ($8.50 x 2)+($6.75 x 2) =$ ,000 18,000 2, ,94 Square Guides B1 x is a variable, 7 and 9 are numbers + is the operation x = 7 x + 8 = 1 Square guide may remind students of checkerboard, lattice, or Napier s Bones 1 2 = 169 B2 1) 16 2 = 256 2) 4 2 = 1, x = 5 ) 49 2 = 2,401 4) 25 2 = 625 1) T = C + 5 2) T = K + 7 ) E = K - 1) L = S 2) C = G +.50 ) S = 2(B-) B 1) 10 = x 2) x = 20 ) 25 = x 4) x = 7 **Mathematical convention usually places the variable to the left of the = sign** B4 1) x = 10 2) x = 4 ) x = 25 4) x = 7 B5 1) x = 6 2) x = 4 ) x = 10 4) x = 6 B6 1) x = 2) x = 2 ) x = 7 4) x = 5 B7 1) x = 6 2) x = 4 ) x = 7 4) x = 5 B8 1) x = 7 2) x = 12 1) = 87,616 2) 85 2 = 148,225 ) = 549,081 1) 11 2 = 121 2) = 12,21 ) 1,111 2 = 1,24,21 4) 11,111 2 = 12,454,21 5) 111,111 2 = 12,45,654,21 6) 1,111,111 2 = 12,456,7654,21 Binomial Formula a 2 + 2ab + b 2 a 2 + 2ab + b 2 1) 4 2 =1,849 2) 62 2 =,844 2) 17 2 = 289 4) 28 2 = 784 Trinomial Formula a 2 + 2ab + 2ac + b 2 + 2bc + c 2 a 2 + 2ab + 2ac + b 2 + 2bc + c 2 1) 16 2 = 190,096 2) 25 2 = 64,009 2h + (2h + h) + 2(2h +h) = B s = r + 2r + (r + 6) 0 = 1/ g + 1/2 s + d (l + 8) + s = 45 m + (m -.5m) + 2(m) = s i + (i + 2i) + i = t ) x = 7 4) x = ) = 277,729 4) = 5,721 Definitions are on the card Information is on the card 4, 6 6, 8 8, 10 10, 12 12, 14 Square Roots C1 C2 Definitions are on the card 25 =5 49 =7 81 =9 9, 10, 4 11, 5 12, 6 1, 7 C C4 0 = whole, integer, rational, real.4 = rational, real 28 = rational, real 65 = natural, whole, integer,rational, real -5 = integer, rational, real 5 = natural, whole, integer, real /8 = rational, real = rational, real -15 = integer, rational, real 18 = natural, whole, integer, rational, real 5 =7 r =6 r.10 1 = 5 r. 6 For every 2 digits in the radicand, there are 1-2 digits in the root. 4,8 8,16 16, ,128 5,10 1,18 21,26 29,4 C5 Answers will vary 1) 2 digits 2) digits ) 4 digits 50, 46, 40, 6 0, 26 20,16 4) 4 digits 5) digits 6) digits 7) digits 8) 4 digits 9) 5 digits 10, 6 10) 5 digits C6 Answers will vary Answers will vary., 9 6, 18 9, 27 12, 6 7,42 15, 45

6 C7 R Q whole N I 625 = 25 x C8 C9 1) l6l 2) l4l ) l0l 4) lxl 5) lxl 6) lxl Information is on the card x 2 2x + 1 C10 1) 4 2) 10 ) 16 4) 5 5) 16 C11 1) 8 2) 6 ) 18 4) 1 5) 4 C12 1) 2 2) 15 ) 67 4) 0 5) 66 C1 1) 66 2) 2 ) 11 4) 102 5) 92 C14 1) 54 2) 4 ) 5 4) 459 5) 144 C15 1) 14 2) 10 ) 4 4) 50 Square Root Algorithm Binomial D1 5) 288 Answers will vary but could include, negative temperatures, below sea level, or debts. D2 1) > 2) > ) < 4) < D 5) < 6) < Answers will vary and could include decimals, or fractions. D4 1) = 6 2) - 1 = 2 ) = 1 4) = 0 5) = -9 6) = - Square Root Algorithm Trinomial D5 D6 1) = -2 2) = -6 ) = -5 4) = -7 5) = -6 6) = 1) = 4 2) -7 + = -4 ) = 4 4) = -10 D7 1) ).8 ) ).69 5) ) r r r x -1 x Information is on the card x + (x + 7) + (x ) = 80 x + 20 = = x + x + (x + ) 24 = x + x + 2x + 4x = 5 7x = 5 Answer is on the card. x + 10 = 22 x = x + 1 = 19 x = 2 4x + 51 = 251 x = 50 4x + 24 = 88 x = 16 Answer is on the card. x + 8x + 4x = 5850 x = r r x + (x + ) + 2x + 2(x + ) = 1 x = 9 x + x + (x + 1) = 15 x = 2 D8 1) ) -9.8 ).2 4).69 5).94 6) x + 4x + (4x -1) = 17 x = 2 D9 Answers will vary and could include decimals, or fractions x + (x + 1) + (x + 2) = 114 x = 7 D10 Answers will vary and could include decimals, or fractions x + (x + 2) + (x + 4) = 159 x = 51

7 D 11 Answers will vary Answer is on the card Answers will vary ) x = 5 2) x = 6 D ) x = 4 4) x = Answers will vary ) x = 7 2) x = 4 D ) x = 1 4) x = 2 Answers will vary ) x = 2 2) x = 1 D ) x = 1 4) x = 7 Special Cases Answer is on the card. Answer is on the card 1) x = 6 2) x = 6 E 1 ) x = 8 4) x = 5 Answers will vary ) x = 4 2) x = 6 E ) x = 5 4) x = 1 E Answers will vary ) x = 6 2) x = ) x = 10 4) x = 5 Answers will vary ) x = 6 2) x = 4 E ) x = 2 4) x = 0 E 5 1) commutative + 2) identity x 404r2 506r 1) x = 6 2) x = 7 ) associative x 4) identity x ) x = 0 4) x = 5) distributive 6) identity E 6 Squares to Cubes F 1 1) commutative + 2) distributive ) associative + 4) identity x 5) associative + 6) commutative + 1) identity + 2) distributive ) commutative x 4) distributive 5) associative x 6) commutative + 1) - 2) -5 ) -20 4) -12 F 2 1) -11 2) -2 ) -8 4) -25 F F 4 F 5 F 6 F 7 1) + 9 2) +1 ) +10 4) ) -5 2) +11 ) +40 4) ) ) When subtracting a negative the 2 negative signs result in addition. A and E, D and G H and C F and B x + 2x = x + 14, x = 7 1) 7 2) 14 ) 21 x + 21 = 4x +, x = 6 27 days 46,656, Answer is on the card x =9 Math = Language = 9 Cultural = x =20 Lettuce = 20 Carrots = 5 Beans = 10[(10x10)+(4x10)+(10x4)+(4x4)] + 4[(10x10)+(4x10)+(10x4)+(4x4)] = ( 2 ) + ( 1 ) + 1 = (6 2 ) + (6 1 ) + 1 = (8 2 ) + (8 1 ) + 1 = 729 Copy symbols on the card. 5 + (5 2 ) + (5 1 ) + 1 = (4 2 ) + (4 1 ) + 1 = (7 2 ) + (7 1 ) + 1 = 512 1) x > -1 2) x 22 ) x < 9 4) x -8 5) x > 40 80r r E Bones Card Game 4502 x + 4 = 2x + 10 x = 6 E $22 E 9 Bones Card Game 6020 x + x - 2x +7 = x x = 8 inches 4 + (4 2 x) + ( 2 x4) + = 4 (Binomial cube, numerically) x = 6 Mon. = Tues. = 6 Wed = 2 x = 4 Joaquin = 2 John = 4 x = 8 Peter = 5 Parker = 2 Doris = 1 x = 9 Ms. Arbiter = 5 Ms. Jodi = Ms. Olga = 11

8 F 8 1) x -5 2) x < 8 ) x > -2 4) x 19 5) x < (4 2 x) + ( 2 x4) + (4 2 x2) + 6(4xx2) + + ( 2 x2) + (4x2 2 ) + (x2 2 ) + 2 = 729 (Trinomial cube, numerically) x = 5 minute 1 = 8 minute 2 = minute = 1 F 9 1) x> 2) y -1 ) z 14 4) x 17 5) y>-24 6)z (2 2 x4) + (4 2 x2) + 4 = ( 2 x5) + (5 2 x) + 5 = (5 2 x4) + (4 2 x5) + 4 = 729 x = 12 card game apps 12 F 10 1) z>-18 2) a<7 ) b -1 4) c<-20 5) p>0 6) b<8 Cube Roots G 1 1) 2) -2 ) 4 4) -4 + ( 2 x) + ( 2 x) + = (4 2 x4) + (4 2 x4) + 4 = (7 2 x2) + (2 2 x7) + 2 = 729 For every three digits in the radicand, there will be one digit in the root. x = 9 grasshoppers = ladybugs = 9 crickets = 5 x = -5 G 2 Answer is on the card Answer is on the card x = 48 G 1) -4 2) +8 ) + 4) -5 5) +2 6) - Answer is on the card x = -6 G 4 1) ) -2 ) ) ) -52 If the signs are the same the answer is positive, if they are different the quotient is negative Elsie = 61 gallons Bossie = 851 gallons G 5 1) -24 2) -69 ) x = 19 inches 4) - 5) ) G 6 Answer is on the card. Teacher lesson 54 students in each bus G 7 1) ) -6 ) Answer is on the card. 82 games 4) ) -/8 6) A positive x negative = negative G 8 Answer is on the card. 416 She painted for 4 hours G 9 1) 14 2) 555 ) ) ) ½ 6).1875 G 10 Alternative Bases H 1 1) 1,608 2) -840 If the number of negatives is odd the product is negative. If the number of negatives is even, the product is positive. 1) 4 2) 9 ) 120 4) 50 H 2 1) $18 $54 2) $6.45 $49.45 H H 4 H 5 1) 60 ft 2 1,560 ft 2 2) 6 days (and a little more) 1) 6 coconuts 2) 24 problems 1) 12 pages 48 pages 2) 21 boxes ,2,,10,11,12,1,20,21,22,2, 0,1,2,,100,101,102,10, subscriptions 9 years old Answer is on the card. 1) ) ) ) hours 1) ) words in 0 minutes ) ) ) ) defective parts ) 10 4) ) ) miles ) )

9 1) 20 pages H 6 2) 20 tasks H 7 1) $5 $42 2) $50 H 8 H 9 H 10 1) 4 days 2) 15 gallons of paint 1) $ ) $1. 1) 88 books 2) 20 children 1) ) hours 27 minutes ) ) ) ) tablets ) ) ) ) women students ) ) ) ) $18.45 ) ) 20 1) ) inches 10 ft 9 in ) ) H 11 H 12 1) % 2) 25% 1) 60% 2) 69% H 1 1) 57% 2).2% H 14 1) 44% 2) approximately 19% 1) ) $8.66 ) ) ) ) ) minutes 4) ) ) ) 9B ) $2,88 in 2 months ) ) 7 7 9B 1 1) 9A ) 9D 0 9B miles ) ) 2 12

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