Number Sense Workbook 3, Part 2

Transcription

1 Number Sense Workbook, Part page 1 Worksheet NS-1 page 0 1. a) 1st 7th c) 9th d) th e) f) g) 7 h). a) Ali Sam c) th d) e) Ashley is in th position. f) 17 = 1. a) Numbers marked with an X: 9, 11, 1, 1, 17, 19, 1,,, 7, 9 (i) 17 (ii) 1 (iii) Numbers marked with an X: 1, 0,, 0,, 0,, 0 (i) (ii) (iii) 0 c) Numbers marked with an X:, 1,, (i) 1 (ii) (iii). a) Answers will vary. p c) n d) i e) o f) g Worksheet NS- page 0 1. a) c) d). a) 1,, and are closer to 0, 7, and 9 are closer to c) is halfway in between 0 and. a) 0 c). a) 0 c) 0. a) 0 0 c) 0 d) 0. Answers may vary. Sample Rule: If rounding a two-digit number to the nearest tens, round up if the ones digit is,, 7, or 9. Otherwise, round down. 7. a) 0 0 c) 70 d) 990 e). a) c) 90 d) a) 0 70 c) 90 d) 0 e) f) 0 g) 70 h) i) 0 j) k) 0 l) Answers may vary. Since the rule for rounding to the nearest tens says to round up if the ones digit is,, 7, or 9, the number 999 is a special case, where the digit 9 increases to and carries over. Then 999 rounds up to Worksheet NS- page 0 1. a) 0 0 c) 0 d) 0. a) Neither Because it is halfway in between 0 and 0. a) 0 0 c) 0 d) 0. a) c) 00 d) 00. a) c) 00 d) 700. a) 0 00 c) 0 d) a) c) 00 d) 00 e) 00. a) c) 00 d) 700 e) 00 f) Answers may vary. Three-digit numbers round down to the nearest hundred if the tens digit is 1- and up to the nearest hundred if the tens digit is -9. Worksheet NS- page 1. a) 0 c) 70 d) 70 e) 0 f) 90 g) h) 0 i) 70 j) 0 k) 0. a) 170 c) 0 d) 0 e) 790 f) 70 g) 0 h) 90 i) 0 j) 0 k) 990 l) 0 m) 70 n) 0 o) 90. a) c) 700 d) 00 e) 00 f) 00 g) 700 h) 700 i) 00 j) 900 k) 700 1

2 page l) 900 m) 00 o) 0 p) 00 q) 00 r) 700 s) 00 t) 00 u) 00 v) 900 w) 00 x) 00 y) 00 z) 00 Worksheet NS- page a) = = 90 c) 0 = = 0 e) = 90 f) = 0 g) 0 = 70 h) 0 0 =. a) = = 0 c) = 70 d) 0 0 = 0 e) = 0 f) = 0. a) = = 900 c) 00 0 = = 00 e) = 900 f) = g) 00 0 = 700 h) = 0. a) = = 00 c) = d) = 00 e) = 00 f) = 0 Worksheet NS- page 1 1. a) = = 1. a) 0 0 = =. a) = = 190 c) = basketballs rounds up to a) 0 0 c) 0. 1 golf balls rounds down to a) 0 0 c) 0. a) 0 0 c) 7. a) 0 70 Teacher to check explanation.. a) 0 dots dots Worksheet NS-7 page 1 1.,,,, 1, 1, 1, 1, 0. a) e) 1 f) g) 1 h) 0., 1, 1, 1,, 1,, 0.,,,,,,,,. a) + = 1 ERRATA: Question should read (not 9 + 7). Answer: + = = = = 17 + = = + 1 = a). a) 70 0 c) 0 d) 0 9. a) 7 7 c) d). a) = = 90 c) 90 0 = 70 d) 0 0 = Not reasonable 1. a) = = = = 0 1. a) 0 0 = 0 = 1. a) Necklace C has more beads. Necklace A: 1 beads Necklace B: 1 beads Necklace C: 1 beads Worksheet NS- page 1 1. a) c). a). a) c). a) kids stamps c) fleas d) pens e) kids f) grapes. tickets. chairs 7. trees. flowers 9. loonies. loonies Worksheet NS-9 page 1 1. a) sets; dots each. a) sets; dots each c) sets; dots each d) sets; dots each e) sets; dots each c) d). Teacher to check drawings. a) sets sets

3 page. Teacher to check drawings. a) wagons pages c) shelves d) tanks. friends. friends 7. pages. canoes 9. hours Worksheet NS-0 page 0 1. a) Apples;. a) sets; in each set Stars; c) d) sets;. a) Kids; in each set sets; in each set Cookies; sets; in each set c) Oranges; sets; in each set d) Spots; sets; in each set e) Stamps; 7 sets; in each set f) Swings; sets; in each set g) People; sets; in each set. Worksheet NS-1 page NOTE: Teacher to check diagrams. 1. a) There are dots in each set. There are dots in each set.. a) There are dots in each set. There are dots in each set.. a) triangles in each triangles in each. squares in each. a) sets of sets of. a) baskets of baskets of 7. a) dots in each set sets c) sets d) dots in each set. a) 1 Stamps; sets; in each set. 0 Kids; sets; in each set. pens; sets; in each set. d) 0 apples; sets; in each set. e) cookies; sets; in each set. f) 1 kids; sets; in each set. 9. a) kids in each boat pages c) dogs. Worksheet NS- page 1. a) lines sets lines in each set = = 1 lines sets lines in each set 1 = 1 = c) lines sets lines in each set = =. a) sets dots in each set 1 = 1 = sets triangles in each set = = c) sets stars in each set = =. Teacher to check student pictures. a) = sets 1 = triangles in each set Worksheet NS- page NOTE: Teacher to check diagrams. 1. a) + + = + = c) + + = 1 d) + + = 9. a) 1 = 1 = c) = =. a). a) c) d). a) = 9 = c) = d) 0 =. a) c) d) e) f) g) h) i) j) k) l) 1 m) 1 n) o) p) q) 1 r) s) t) 7. Count by s:, 1, 1,, 0 Count by 7s: 7, 1, 1,, a) c) d) e) f) g) h) 1 i) j) 1 k) l). a) 9. a) lines in each triangles in each c) circles in each d) stars in each e) squares in each

4 page f) lines in each g) 7 dots in each h) triangles in each i) 9 dots in each j) dots in each k) dots in each Worksheet NS- page 0 1. a) = 1 = 1 1 = 1 = 7 = 1 7 = 1 1 = =. a) = 1 = 1 1 = 1 = 1 blocks sets blocks in each set = 1. a) c) d) e) f) g) h) i) j) = 1 1 = 1 = 1 blocks sets. 1 = = 7 = 1 7 = 1 blocks in each set Worksheet NS- page 1 1. a) lines lines in each set sets lines in total sets lines in each set c) lines in each set sets 1 lines altogether.. Teacher to check drawings. a) sets things in each set things altogether d) things in each set. a) 1 = sets = 1 1 things in total = in each set d) = things in total e) = sets f) = in each set. a) There are kids in each boat. There are 0 stamps. Worksheet NS- page 1. You cannot share pears equally on plates:. Teacher to check drawings. a) ; 1 ; c) ; 0 d) ; e) ; 1 f) ; 1. Teacher to check drawings. a) 7 = R1 11 = R c) = 1 R d) 9 = R1 e) 1 = R0 f) 1 = R. = R1 Each person will receive apples. One apple will be left over.. 7 = R1 7 = R1. There are two possible answers. If there are oranges in total, each will receive. If there are 9 oranges, each will receive. Worksheet NS-7 page 1. = 1 = 1 1 = 1 =. a) 1 1. There are trees in orchard (7 ).. It feeds times in 7 hours ( 7).. 11 = R1 AND 11 = R There are arms on each starfish (0 ) so starfish will have 0 arms ( ). 9. a) 0 hours ( 0) 7 kg ( ) c). Yes, is twice as much as : Worksheet NS- page 1. a) 9 c) 1. a) c) ; d) 0; ;. 1 bananas bananas in each bunch bunches 1 = 1 = = 1. a) ; ; 1. ; 1 ; 1. a) = 1 = 1 1 = 1 = = 1 = 1 1 = 1 = 7. a) 9 eggs 1 eggs c). a) 0 = 0 = c) 0 = 9. Picture B shows that six sets of equals two sets of plus four sets of.. a) + = 11 + =

5 page Worksheet NS-9 page 1. Pattern: 1, 17,, 7,, 7,, 7,, 7,, 7, 7, 77 a) Pattern in ones digits:, 7. Repeat. Pattern in tens digits: 1, 1,,,,. Teacher to check patterns. a) See 1 a) for sample of expected pattern. See 1 for sample of expected pattern.. Pattern:, 0, 7, 0, 1,, 17, 00,, 0, 7, 00, Pattern in ones digits:, 0,, 0 Pattern in tens digits:,, 7, 0,,, 7, 0. Answers may vary. Given the pattern - 1,, 19,, 7, Pattern in ones digits: 1, 0, 9,, 7, Pattern in tens digits: 0, 1, 1,,, NOTE: Like the 1 in this case, the tens digits will occasionally repeat. Worksheet NS-70 page 9 1. a),, 1, 0,, 0, 0, 0, 0 c), 0, 7, $1.00, $1. d) $, $, $, $, $. a) 1,,,, $, $, $1 c) $, $0, $0 d) $1, $, $, $. a) 7 1 c) 0 1 e) 0 f) g) 0 h) 7 i) 0 j) $1 k) l) 0 m) $ n) $ o) $7. Worksheet NS-71 page 0 1. a), 0. 7, 0.7, 0.1 d), 0. e) 9, 0.9 f), 0.0. a), 0., 0. c) 7, 0.7 d) 7, 0.7 e) 71, 0.71 f) 7, 0.7 g) 7, 0.7. a) 1; ; ; $1. ; 1; 9; $.19 c) ; ; ; $. d) ; ; ; $. e) ; 1; ; $.1 f) 0; 0; ; $0.0 g) 7; ; 7; $7.7 h) 0; ; ; $0. i) 0; 0; ; $0.0 j) 9; 9; 9; $9.99. a) $; $.00 $; $.00 c) $; $.00 d) $; $.00 e) $11; $11.00 Worksheet NS-7 page 1. a) $; ; $. $; 11 ; $.11 c) $; 0 ; $.0 d) $; ; $. e) $; 7 ; $.07 f) $1; 11 ; $1.11 g) $; ; $. h) $1; 7 ; $1.07. a) 1 ; $1. 9 ; $0.9 c) ; $1.0 ; $1. e) ; $1.0 f) 1 ; $1.01 g) 11 ; $1.1 h) 111 ; $1.11 i) 1 ; $1. j) ; $1.0. A quarter and a nickel.. Two quarters and two dimes.. a) 9 $.0 c) $.. a) 1 toonie, 1 quarter 1 toonie, 1 dime toonie, 1 loonie, 1 dime Worksheet NS-7 page 1. a) c) e) 700 f) 0 g) 0 h) 0 i) 199 j) 111 k) 11 l) m) n) 0 o) 0 p) 9. a) $.00 $0.07 c) $0.0 d) $0.0 e) $1.0 f) $1.01 g) $1.1 h) $1.7 i) $1. j) $.0 k) $. l) $. m) $0. n) $0.99 o) $0.0 p) $0.09 q) $0. r) $0.01 s) $0. t) $0.07. a) $1.7 $1.00 c) $.00 d) $.9 e) f) 17. a) $0. $0.0 c) $.0 d) $9. e) $. f) $7.0 Worksheet NS-7 page 1. Circle: $9.9, $0., $0.1, $1.0, 1 and $ Cross out all the others... Worksheet NS-7 page 1. a) 9 c)

6 page d) 99 e) 9. a) $. $. c) $. d) $.7. a) $7. $9. c) $9.1 d) $9.11 e) $7.0 f) $.7. a) $. $.1 c) $. d) $9. e) $9.. a) c) $7.9 d) $7.79. ERRATA: Plant A should cost $.0, not $.0. Samuel Plant D Vinnie Plant E Krista Plant C Tim Plant A 7. a) No No Worksheet NS-7 page 1. a) 1 c) d) e) 0. a) 0 =. a) $0.7 $. c) $. d) $1.79 e) $.9 f).. $1.. $0.7. No, her change was short. Worksheet NS-77 page 9 NOTE: Only actual answers have been given since estimates will vary. 1. a) $.1 $1.1 c) $. d) $0.. a) 0 0 c) 90 d) 0 e) 0 f) 0 g) h) i) 90 j) 0 k) 0 l) 0. Circle: a), c), d), e), g), i) and j). a) $.00 $.00 c) $.00 d) $7.00 e) $7.00 f) $.00 g) $.00 h) $.00 i) $.00 j) $.00 k) $.00 l) $.00. a) $.00 $.00 = $.00 $9.00 $.00 = $.00 c) $ $.00 = $1.00 d) $.00 $.00 = $.00 e) $ $.00 = $11.00 f) $.00 $.00 = $.00 g) $ $.00 = $11.00 h) $.00 $.00 = $0. About $ About $.00.. About $ About $ About $1.00 Exactly $ About $7.00 Exactly $.7 1. About $1.00 Exactly $1.0 Worksheet NS-7 page 1 1. a) 1 c) e) f) g) 1 h) i) 9 j) 7 k) 1 l). Worksheet NS-79 page 1. a) 1 d). a) The total number of pieces. The number of shaded pieces.. Figures a) and d) should be circled.. Figures and d) should be circled.. a) fourths eighths c) thirds. a) halves 7. a) fourths c) ninths d) fourths e) sixths f) fifths g) fifths h) fifths i) thirds j) fourths k) thirds l) halves m) ninths n) fifths o) fourths c) d). You need to cut each third into two equal parts: Worksheet NS-0 page 1... a) 1 is shaded is shaded

7 page 7. a) Final rectangle should be cm. Teacher to check final rectangle should be cm. c) Final rectangle should be cm.. a) Final line should be cm long.. Final line should be cm long. 7. There are boxes in the whole rectangle; boxes in half. Worksheet NS-1 page 1. a) 1 ; ; c) 7 ; 7 ; 7 ; 7. Squares; triangles; circles.. are triangles; are shaded. a) games c) Yes: > = 1. a) NOTE: In the answer below, order of shapes may vary.. a) B B G G G There are children in total: boys and girls. 9. Worksheet NS- page 7 1. has the larger numerator and is the larger fraction. Explanations will vary, teacher to check. Since both circles are equal and have been divided into fourths, the fraction with more shaded pieces (e.g. with the larger numerator) will be the larger fraction.. a) c) 7. If two fractions have the same denominator, the fraction with the larger numerator is the larger fraction.. a) 1 ; 1 ; 1 ; 1 Pie c) Pie e) 1. 1 is greater than 1 0 Explanations will vary.. a) 1 1 c) As the denominator increases, the piece size decreases. 7. a) If Fraction A and B have the same numerator but different denominators, the fraction with the smaller denominator is the larger fraction. 9. a) c). The shaded pieces are the same size because the two squares are congruent and have been divided into equal. 11. Yes depending on the size of the pies drawn: e.g of the square is shaded. This can be shown by drawing the following lines: a) 1 1 d) 1. a) ; triangles will fit Worksheet NS- page 0 1. a) c). a) c) d). a) c) d). a) = = = d) 0 = e) = f) 1 = 7 g) 1 = 9 h) =. a) Circle of lines Circle of lines c) Circle of lines d) Circle of lines e) Circle of 1 lines. a) c) d) e) f) g) 7 h) 9 i) j) 7. a) more than half half c) more than half d) less than half. Circle a) and c). 9. a) Circle of figures Circle of 1 figures 7

8 page. a) Circle of figures Circle of 1 figures 11. a) 1 c) d) Yes, each of the above fractions is the same as (equal to) No: 1 < 1 = 1 1. a) There will be 1 black squares in the finished quilt ( ). Answers will vary. c) Answers will vary. Worksheet NS- page 1. a) more than 1 less than 1 c) less than 1. a) less than 1 more than c) more than 1 d) less than 1. a) more than 1 more than c) less than 1 d) more than. Circle a), d) and e).. Circle and d).. Teacher to check estimates. a) = 1 shaded 1 = 1 shaded 7. a) about 1 full about full c) about 1 full d) about full. a) about 1 full about full c) about full d) about full 9. a) 1 whole glass 1 glass c) 0 glass Worksheet NS- page 1... a) 1 1 c) 1 Worksheet NS- page 1. a) c). are left. are left. 1 of the pie is left. NOTE: Teacher to check picture.. 1 = > Yes, he is right.. a) c) = 1 9. a) c) = 1. If two friends tried to share whole cookies, they would each get and there would be one left over. If one cookie was broken in half, each friend would get 1 cookies. 11. of the distance remains. Worksheet NS-7 page 7 1. a) c) 7. a) ; 0.,. ; 0.,. c) ; 0.,. d) ; 0.,... a) d) 9. a) c) 0. d) a) Three tenths One and five c) One and two d) Six tenths. A dollar 11. a) 7 c) 1. a) 9 c) d) > 0.9 Teacher to check explanation given. Worksheet NS- page 9 1. a) = + 1 = 7 c) + =. a) 1 = 1 7 = 11 c) 7 =. a) : = : = 1 : = 1 : = 9 : = 1 : = 1 c) : = : = : = 1 d) : = 1 : = 1 : = 0. a) Divide: 0 = Multiply: = 0 c) Multiply: 7 = 1 Worksheet NS-9 page a) Add: + = 7 Add: = c) Subtract: = 1 d) Subtract: 1 = 17

9 page 9 e) Robin and Kathy (1) collected more cards than Henry and Kayla (). f) Robin and Kathy collected more cards than Henry and Kayla did (1 ).. T $ 1 $ $ $1 $0 $. dots in boxes. (1 = ).. Approach may vary teacher to check. Step #1: = 7 Step #: 00 7 = 7 They sold 7 oranges.. and : + = 1 =. Approach may vary. Step #1: 79 = $.9 Step #: $.00 $.9 = $1.0 Andy received $1.0 in change. Worksheet NS-90 page a) Nina invited boys (11 7 = ). Nina invited children from her neighbourhood (11 = ). c) Nina needs cupcakes ( 1 = ). d) Nina needs boxes ( = ). e) Nina will have 1 bags of food ( = 1). f) Nina has $ left. (0 7 = ). g) Nina must get prizes ( 1 = ). Worksheet NS-91 page 7 1. Since boxes of crayons costs = and boxes of crayons costs = 0, it is cheaper to buy crayons in boxes of at per box.. Clare lived in Alberta for of her life. 1. Since trays of plants costs trays 0 = $.00 and trays of plants costs trays 0 = $.0, it is cheaper to buy plants in trays of plants at 0 per tray.. a) There are children on the bus altogether ( + ). The two buses can fit more children ( ).. Approach may vary. Step #1: 7 + = Step #: 0 = 17 The display can hold 17 more fossils.. 9 more fish can live in the aquarium (1 ). 7. Each bottle holds litres of water (1 ). Method used will vary.. At the end of the day, Karen is 1 km from home (0 1 7 = 1). Worksheet NS-9 page 7 1. a) Clare wrote each of her choices for the morning because she can choose from three possible activities during the afternoon. painting, drama; painting, pottery; painting, dance; music, drama; music, pottery; music, dance.. a) pita with cheese; pita with humus; pita with peanut butter; bagel with cheese; bagel with humus; bagel with peanut butter. drama, painting; drama, drawing; drama, poetry; music, painting; music, drawing; music, poetry.. 1 st nd Score Worksheet NS-9 page 7 1. There are possibilities (from top to bottom): V - C - S V - S - C C - S - V C - V - S S - C - V S - V - C. There are possible combinations: RG, RB, BR, BG, GR, GB. long sleeves + pants; long sleeves + skirt; short sleeves + pants; short sleeves + skirt.,,, Worksheet NS-9 page , 7, 7, 7. a) , 9 c) 9, 9. a) 9

10 page c) d) Worksheet NS-9 page 7 1. a) and and c), and d), and and. a) a) + = + 7 =. a),, c), d), e), f),. Possible answers: = 00; = 00; 7 + = 00; = 00; 7 + = 00; 7 + = 00; 7 + = 00; 77 + = 00; 7 + = 00; = 00 Worksheet NS-9 page a) a) Person 1:, 1 Person : 1 Person 1:, 1 Person :,, 1 c) Person 1:, Person :,, d) Person 1:,, Person :,, 1, 1, 1, 1, 1 Person 1:, Person :,,, 1, 1, 1, 1, 1 e) Person 1:,,, Person :,,,, 1