Multiplication and Division

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1 Series E Teaher Multipliation and Division

2 Series E Multipliation and Division Contents Student ook answers 1 Assessment 10 Student progress reord 18 Assessment answers 19 Ojetives 21 Series Author: Niola Herringer Copyright

3 Series E Multipliation and Division Pages ; 10; 15; 20; 25; 0; 5; 40; 45; 50; 55; 60 2a a d 10 e 7 f 8 4a d ; 20; 0; 40; 50; 60; 70; 80; 90; 100; 110; ; 25; 6; 9; ; 2; 4 7 ; 50; 2; 90; 6; 7; a 5 2; 4; 6; 8; 10; 12; 14; 16; 18; 20; 22; 24 4; 8; 12; 16; 20; 24; 28; 2; 6; 40; 44; ; 4; 10; 6; ; 9; 5; 7 7a = = = 128 Pages ; 6; 9; 12; 15; 18; 21; 24; 27; 0 6; 12; 18; 24; 0; 6; 42; 48; 54; ; 12; 24; 54; 24; 15; 48; 27; 0 a 9 6 d 6 e 8 f 10 g h 7 i 6 j 6 k 8 l The 10 row is doule the 5 row. Pages 4 1 6; 8; 10; 12; 14; 16; 18; ; 4; 6; 8; 10; 12; 14; 16; 18; 20; 22; 24 24; 14; 20; 12; 16; 2; 18; 8; 6; 4; 10; 22 26; 28; 0; 2; 4; 6; 8; 40 Page 5 1 4; 8; 12; 16; 20; 24; 28; 2; 6; 40; 44; 48 2a 48 8; 16; 24; 2; 40; 48; 56; 64; 72; 80; 88; Page 8 Series E Answers 1

4 Series E Multipliation and Division Page 8 2 d e f Pages ; 14; 21; 28; 5; 42; 49; 56; 6; 70; 77; 84 2a 9 6 d 4 e 10 f 2 g 8 a d 5 e 6 f 21 4a 5 6a 4 5 d 6 6e 7 7 f 2 Pages ; 18; 27; 6; 45; 54; 6; 72; 81; 90; 99; 108 2a d 18 e 45 f 9 a d 45 e 18 f ; 54; 6; 72; 108; 27; 81; 90; 45; 6; 99 Page ; 22; ; 44; 55; 66; 77; 88; 99; 110; 121; 12 2a d 44 e 99 f 88 a Page ; 24; 6; 48; 60; 72; 84; 96; 108; 120; 12; 144 2a d 48 e 6 f 108 a Pages , 18, 24, 0, 6, 42, 48, 54, 60, 72, , 6, 8, 10, 12, 14, 16, 18, 20, 22, 24 10, 20, 0, 40, 50, 60, 70, 80, 90, 100, 110, 120 d, 6, 9, 12, 15, 18, 21, 24, 27, 0,, 6 e 4, 8, 12, 16, 20, 24, 28, 2, 6, 40, 44, 48 Sample answers: 18, 24, 0, 6, 42, 48, 54, 60 4a 1 12 = = 12 4 = 12 d 1, 12, 2, 6, and 4 Series E Answers 2

5 Series E Multipliation and Division Pages a Pages a d 150 e 220 f 80 g 190 h 160 i 180 5a 24; ; ; 140 6a 1k 0 l 244 m impossile Page d 120 e 6 f 800 2a, Answers will vary. Pages ; 60; 90; 6 96; 120; 180; 200 2a 2a 14; 140; ; 250; ; 820; 8200 Page d 0 e 7 f 4 g 848 h 0 i 424 j ; 0; 60 72, 6; 72 d 88; 44; 88 e 128, 2, 64, 128 f 280, 70, 140, 280 Series E Answers

6 Series E Multipliation and Division Pages g Sample answer: Pages = 54; Page 2 Page 24 2a Page 25 d Answers will vary. 7 8 = 56; 2a 7 6 = = = 80 d 2 10 = 20 a d You eventually get to 1 whih is the answer. Pages Pages = 10 2 = = 4 2a Drawings will vary.; 16 4 = 4; sharing Drawings will vary = 4 grouping Drawings will vary = 8 sharing Page Series E Answers 4

7 Series E Multipliation and Division Page 2 2a 28 4 = = 4 Pages 4 4a Page 5 d 0; 60; 0 e 61; 122; 61 f 22; 44; 22 4a d Page 8 d 2 d 2a 1400; 140; ; 560; ; 50; 5 a Pages 6 7 OUT: 40; 70; 10 OUT: 5; 12; 18 OUT: 21; 45; 0 d OUT: 9; 25; 50 2 OUT: 25; 9; 15 a 20; 40; 20 12; 24; 12 16; 2; 16 2a Series E Answers 5

8 Series E Multipliation and Division Page 8 a Pages h i Pages ; Halve one = 2 Halve twie = ; 12 is = 100 and 12 = = 104 d 5; Halve one = 70 Halve twie = 5 2 d 2a e f d g e Series E Answers 6

9 Series E Multipliation and Division Pages f a Pages d 2a d 855 a d d Pages Page d 9 e 7 f 4 g 5 h 7 i 6 4a 5a 2a d d 6a e Multiples of 6 are all also multiples of. When you ount in s every other multiple of is also a multiple of 6 eause 2 = 6 Series E Answers 7

10 Series E Multipliation and Division Pages a 12; 18; 6; 42; 48 27; 45; 6; 72 28; 24; 16; 12; 4 No, eause 52 is not a multiple of. 4a 2a Kate Brianna Pages ; 12; 16; 20; 40 12; 18; 24; 0; 60 14; 21; 28; 5; 70 2a ; 9 ; 12 a Page = ; = ; s 8s Page 49 6; Rule: multiply y 26; 1 Rule: divide y ; 42; 94; to add 5 and multiply y 2 eah time. a Answers will vary. Pages ; 20; 25; 50 21; 28; 5; 70 18; 24; 0; 60 d ; 6; 15; = 18 squares Page a OUT: 9; 12; 5 OUT: 56; 5; 84 a IN: 10; 7; 4 IN: 72; 6; 54 Page 55 2; 6 2 = 12 5; 4 5 = 20 2a 8; 8 7 = 56 9; 6 9 = 54 Pages ; 45 42; 7; 42 9 d 7 2a 2; 2 4; 4 Page 59 What to do Oserve students. Page 60 What to do Pages What to do Oserve students. Series E Answers 8

11 Series E Multipliation and Division Page 6 What to do Series E Answers 9

12 Multipliation fats Name 1 Complete this grid: Write the missing numers in these and 6 fats: a 6 = 6 = 12 = 18 d = e 9 = 27 f = 24 Write the missing numers in these and 6 fats: a 7 = 5 4 = 6 9 = 72 d 7 = 49 e 9 6 = f 7 = Skills Not yet Kind of Got it Realls times tale fats 2, 4, 8 Realls times tale fats, 6 Realls times tale fats 7, 9 Series E Topi 1 Assessment 10

13 Using known fats Name 1 Show how you use known fats y uilding down: a 10 = 9 = 5 10 = 5 9 = 9 10 = 9 9 = d 6 10 = 6 9 = 2 Write the missing numers in these 11, 12 fats: a 11 = = 12 = 96 d 4 = 44 e 6 = 72 f = List the first 10 multiples of eah numer: a The fators of 12 are: Skills Not yet Kind of Got it Uses known fats to extend multipliation fats Realls times tale fats 11, 12 Lists multiples and fators of a given numer Series E Topi 2 Assessment 11

14 Mental multipliation strategies Name 1 Use the doule-doule strategy and doule-doule-doule strategy to multiply y 4 and 8: a 12 4 = Doule 12 one Doule 12 twie 1 8 = Doule 1 one Doule 1 twie Doule 1 three times 2 Show how to use eah strategy: a The split strategy: 55 5 So, 55 5 = The ompensation strategy: 19 4 So, 19 4 = Solve these multipliations: a 17 1 = 0 29 = 24 = 0 d 8 = 8 e 4 5 = f 7 2 = 56 Skills Not yet Kind of Got it Uses doule-doule strategy and doule-doule-doule strategy Uses the split strategy Uses the ompensation strategy Multiplies y 0 and 1 Multiplies three 1-digit numers Series E Topi Assessment 12

15 Division Name 1 Draw an array to show this division question. Then write the division fat and deide whether it is a sharing or a grouping question: At a party, eah kid gets 6 lollies. If the total amount was 6 lollies, how many kids are there? = sharing / grouping 2 Solve these divisions: a 5 1 = 1 = 1 76 = 76 d 1 = 68 Write a fat family for the set of numers in the triangle: = 40 = = 8 5 = Skills Not yet Kind of Got it Models a division prolem Reognises partition and quotition division situations Divides y 1 Names a fat family of multipliation and division fats Series E Topi 4 Assessment 1

16 Mental division strategies Name 1 Complete the halving wheel: 2 Divide these y 10 and 100: a = Halve = = d = Use the tales for the halving strategy to divide y 4: a 80 4 = Halve 80 one Halve 80 twie 64 4 = Halve 64 one Halve 64 twie 4 Use the split strategy to divide y 5: a = = Skills Not yet Kind of Got it Divides - and 4-digit numers y 10 and 100 Uses the halving strategy Uses the split strategy with division Series E Topi 5 Assessment 14

17 Written methods Name 1 Complete these multipliation prolems using a written method: a H T O H T O H T O Complete these short divisions: a Use the division symol to solve eah prolem: a I drive the same distane to work eah day. Over 6 days the total distane is 618 km. How far do I drive eah day? 864 doughnuts were delivered y 2 truks. How many doughnuts did eah truk deliver? Skills Not yet Kind of Got it Uses written methods for multipliation Completes short division prolems with -digit numers Uses the division symol for word prolems Series E Topi 6 Assessment 15

18 Patterns and algera Name 1 Eah hild has 4 uttons on their shool shirt. Complete the tale to show how many uttons different amounts of hildren have. Numer of hildren Numer of uttons 4 a How many uttons do 20 hildren have? How did you work this out? 2 Complete these funtion mahines. a IN 45 1 RULE: 12 OUT IN RULE: + 10 OUT Complete the tale for eah sequene of mathstik shapes and find the numer of mathstiks needed for the 10th shape: Shape 1 Shape 2 Shape Shape numer Numer of mathstiks 6 Skills Not yet Kind of Got it Completes a shape or numer pattern y following a funtion rule Can write a rule to desrie input and output relationships Series E Topi 7 Assessment 16

19 Patterns and algera Name 4 Colour the skip ounting pattern for 4s up to a If you kept going on a omplete hundred grid, would 54 e oloured in? Yes / No How an you tell without using a whole hundred grid? 5 Complete a numer sequene for eah rule: Rules Sequenes Find the value of the symol: a 42 = Mia saved 9 of her poket money eah week over 6 weeks ut then spent 15. How muh did she have at the end of 6 weeks? Write an equation using a symol to represent the unknown and show your working in the spae on the right: Skills Not yet Kind of Got it Completes a numer pattern and write the rule in words Completes a numer pattern with 2 operations Finds the value of a symol Series E Topi 7 Assessment 17

20 Series E Multipliation and Division Student Progress Reord Name Class Date What went well: What I need to improve: Series E Multipliation and Division Student Progress Reord Name Class Date What went well: What I need to improve: Series E Student Progress Reord 18

21 Series E Multipliation and Division ASSESSMENT ANSWERS Page 10 1 Page 14 2a d 9 e f 8 a d 7 e 54 f 21 Page 11 Page 12 48; 24; ; 26; 52; Teaher hek. a = = 80 4 = 76 a d 1 e 60 f 4 Page 1 1 Drawings will vary. 1 2a d 20 a 20; 40; 20 16; 2; 16 4a d 2a d 11 e 12 f 110 2a d 68 Page 15 a 4 1, 12, 2, 6,, 4 Series E Assessment Answers 19

22 Series E Multipliation and Division Page is not in the 4 times tale. 5 6a 7 *Choie of symol will vary. 2a a Pages a 80 Multiplied the numer of hildren y 4. 2a OUT: ; 19; 46 IN: 47; 24; 88 4a Series E Assessment Answers 20

23 Series E Multipliation and Division Topi Referene Strand Sustrand Ojetive Multipliation Fats Using Known Fats 4C6a Numer Calulation 4C6 Numer Calulation Reall multipliation and division fats for multipliation tales up to Reognise and use fator pairs and ommutativity in mental alulations. Division C7 Numer Calulation Write and alulate mathematial statements for multipliation and division using the multipliation tales that they know, inluding for 2-digit numers times 1-digit numers, using mental and progressing to formal written methods. Mental Strategies Written Methods Patterns and Algera Games and Investigations 4C6 Numer Calulation 4C7 Numer Calulation 4C8 Numer Calulation 4C8 Numer Calulation Use plae value, known and derived fats to multiply and divide mentally, inluding: multiplying y 0 and 1; dividing y 1; multiplying together three numers. Multiply 2-digit and -digit numers y a 1-digit numer using formal written layout. Solve prolems involving multiplying and adding, inluding using the distriutive law to multiply 2-digit numers y one digit, integer saling prolems and harder orrespondene prolems suh as n ojets are onneted to m ojets. Solve prolems involving multiplying and adding, inluding using the distriutive law to multiply 2-digit numers y one digit, integer saling prolems and harder orrespondene prolems suh as n ojets are onneted to m ojets. Series E Ojetives 22

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