Transcription
GRADE 3 STUDENT BOOKMultiplicationand DivisionMy Namewww.mathseeds.com
Mathseeds Multiplication and Division Grade 3 Student BookCopyright Blake eLearning 2020Blake PublishingLocked Bag 2022Glebe NSW 2037www.blake.com.auPublisher: Katy PikeWritten by Megan SmithDesign and layout by the Modern Art Production Group
ContentsTopic 1: MultiplicationDate CompletedPage1 Skip counting .//2 Number lines .//3 Arrays .//4 Equations .//5 Array problems .//6 Related equations .//7 Algorithms and arrays .//8 Algorithms and number lines .//9 Multiplication problems .//10 Multiplication games .//Topic 2: Times tablesDate CompletedPage1 1 2 times table .//12 4 times table .//13 Doubling .//14 8 times table .//15 10 times table .//16 5 times table .//17 3 times table .//18 6 times table .//19 Multiplication facts .//20 Times table problems .//21 Mental math puzzle .//Multiplication & Division Grade 3iii Blake eLearning
ContentsTopic 3: DivisionDate CompletedPage22 Groups .//23 Arrays .//24 Equations .//25 Inverse operations .//26 Related sums .//27 Division .//28 Division facts .//29 Division problems .//30 Pyramid puzzles .//Topic 4: Number fact familiesPageDate Completed31 Inverse operations .//32 Number fact families 1 .//33 Number fact families 2 .//34 Number mountains .//35 Missing numbers .//36 Number fact problems .//37 Operations puzzle .//Topic 5: Multiplication strategiesPageDate Completed38 2-step multiplications .//39 Multiplication algorithms .//40 Multiply 3 numbers .//Multiplication & Division Grade 3iv Blake eLearning
ContentsTopic 5: Multiplication strategiescontinuedPageDate Completed41 Three factor problems .//42 Distribution strategy .//43 Split one factor .//44 Multiply by 10 .//45 Multiply by multiples of 10 .//46 Multiplication strategy problems .//47 Write your own problems .//Topic 6: Mixed operations problemsPageDate Completed48 Which operation? .//49 1-step problems .//50 2-step problems 1 .//51 2-step problems 2 .//52 3-step problems .//53 Multi-step problems .//54 Mixed problems .//55 Guess who? .//ResourcesPage56 10-sided spinner57 Grid paper58 100 chartMultiplication & Division Grade 3v Blake eLearning
In this bookThe Mathseeds program teaches children the core math and problem solvingskills needed to be successful at school.Each online lesson begins by introducing and modeling a mathematical concept.The child then completes a wide range of activities to practice the new skill.These activities present the content in many different ways, so children learnto use and apply each new skill in a variety of situations.This book is designed to supplement the online program with more exercisesin the core mathematical concepts. Each unit focuses on a topic within themain learning strand, presenting a series of pen and paper activities, wordproblems, puzzles, and games to practice their skills and understanding.The topics in this book align with the following components of the StateStandards:3.NBT.A.3 Multiply one-digit whole numbers by multiples of 10 in the range 10-90using strategies based on place value and properties of operations.3.OA.A.1 Interpret products of whole numbers.3.OA.A.2 Interpret whole-number quotients of whole numbers.3.OA.A.3 Use multiplication and division within 100 to solve word problems insituations involving equal groups, arrays, and measurement quantities.3.OA.A.4 Determine the unknown whole number in a multiplication or divisionequation relating three whole numbers.3.OA.B.5 Apply properties of operations as strategies to multiply and divide.3.OA.B.6 Understand division as an unknown-factor problem.3.OA.C.7 Fluently multiply and divide within 100, using strategies such as therelationship between multiplication and division or properties of operations.By the end of Grade 3, know from memory all products of two one-digitnumbers.3.OA.D.8 Solve two-step word problems using the four operations. Representthese problems using equations with a letter standing for the unknownquantity. Assess the reasonableness of answers using mental computationand estimation strategies including rounding.3.OA.D.9 Identify arithmetic patterns (including patterns in the addition tableor multiplication table), and explain them using properties of operations.Multiplication & Division Grade 3vi Blake eLearning
Skip countingMultiplication1 How many? Complete the repeated addition.a 2 b 3 2 c 2 How many? Skip count to find the answer.abc2,4,3,,,,,Multiplication & Division Grade 3 Topic 1,,,,,,1 Blake eLearning
Number linesMultiplicationJump along the number line to find how many.1 I buy 8 pairs of shoes. How many shoes altogether?0246810121416182030354045502 You have 5 packs of 5 pens each.How many pens altogether?05101520253 We eat 7 baskets with 3 dumplings in each.How many dumplings 04050607080901004681012141618204 7 5 055 9 10 0106 5 2 02Multiplication & Division Grade 3 Topic 12 Blake eLearning
Arrays1MultiplicationWrite a multiplication fact for each array.ab cd 2 Color an array to match. Find the answer.ab7 8 Multiplication & Division Grade 3 Topic 16 9 3 Blake eLearning
Equations1MultiplicationWrite an equation to match the array.a b c d e f 2 What is the missing number?a 10 2 b 5 50c 5 45d 9 3 e 3 6f 2 4g 8 5 h 7 70i 10 100j 2 7 k 6 12l 4 16Multiplication & Division Grade 3 Topic 14 Blake eLearning
Array problemsMultiplicationa Draw an array for each question.b Complete the equation and find the product.1Ruby has 10 hats with5 feathers on each hat.How many feathers arethere altogether?2 Mango’s muffin tray holds8 muffins. She makes3 trays of muffins. Howmany muffins in total?aab b 4 Mrs. T eats 7 cactusplants in a day. Howmany plants does sheeat in a week?3 Doc has 5 tie racks.Each rack holds 6 ties.How many ties does Dochave altogether?aab b Multiplication & Division Grade 3 Topic 15 Blake eLearning
Related equationsMultiplicationa Draw shapes to make an array for each equation.b Write a second equation for the array. Find the product.1 2 82 4 53 5 3aaab b b 4 6 45 3 76 9 2aaab b b 7 5 58 3 29 4 10aaab b b Multiplication & Division Grade 3 Topic 16 Blake eLearning
Algorithms and arrays1MultiplicationWrite an algorithm to match the array.a b c tttttttttd «««««««tttttttttttttttttt 2 Use times tables facts to find the answer.a3 7b4 6c5 9d7 4e5 5f6 8g9 7h8 8i4 5j3 3k7 9l6 6Multiplication & Division Grade 3 Topic 17 Blake eLearning
Algorithms and number lines1MultiplicationWrite an algorithm to match each number line.a 012 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30b 012 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30c 012 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 302 Show these multiplications on the number line. Find the answer.a 37 84 95bcMultiplication & Division Grade 3 Topic 18 Blake eLearning
Multiplication problemsMultiplicationDraw an array, a number line or a picture to solve the problem.12 Dizzy grabs six bags ofballs for game day. Eachbag has ten balls in it.Ruby folds t-shirts intopiles of five. She hasthree piles.How many shirtsaltogether?How many balls altogether?3 Doc has five shelves withten books on each shelf.4 Ruby, Mrs. T, and Mango aretrying on hats. They end upbuying four hats each.How many booksaltogether?How many hatsaltogether?6 Waldo naps for ten minutes.He does this seven timestoday!5 Mrs. T uses three teabags for each pot of tea.She drank six pots oftea today.How much extra sleep didWaldo get from his naps?How many tea bags didshe use?Multiplication & Division Grade 3 Topic 19 Blake eLearning
Multiplication gamesMultiplicationSKIP COUNT CIRCLEPlay as a class or in a group of 5 or more people.Use a spinner with numbers 1-10 (see page 56).1Sit in a circle. Pick a number to skip count using the spinner.2 The first person in the circle says the number.The next person in the circle mentally adds that same numberto the first and says the answer.The next person in the circle adds the number to that answer.And so on around the circle, skip counting by the number.3 Continue until someone makes a mistake.Then spin and go again.Variation: Keep track of the highest number you get to for eachskip counting digit and try to get a better score next time.ARRAY RACEPlay in pairs. You need a different colored pencil ormarker each, a sheet of grid paper (see page 57)and two 10-sided spinners. (see page 56).1Player A: spin both spinners. Use the two numbers tocolor in an array that size. For example you spin a 5and a 3 so you color an array of 5 rows of 3 squares.2 Player B: spins and colors an array.3 Keep taking turns until one player can’t fit their array in.The winner has colored in the most squares.Multiplication & Division Grade 3 Topic 110 Blake eLearning
2 times table1Times tablesHow many wings? Complete the equations.a 2 b 2 c 2 d 2 e 2 f 2 2 Find the answers. 01234567891023 Complete.a 2 4 2 8b 2 7 2 c 2 3 d 2 9 e 2 5 f 2 8 g 2 10 h 2 0 Multiplication & Division Grade 3 Topic 211 Blake eLearning
4 times tableTimes tables1 How many legs? Complete the equations.a 4 b 4 c 4 d 4 e 4 f 4 2 Find the answers. 01234567891043 Complete.a 4 2 2 4 b 4 5 4 c 4 7 d 4 8 e 4 3 f 4 6 Multiplication & Division Grade 3 Topic 212 Blake eLearning
DoublingTimes tables1 Double each number.0123456789102 What times table is this?3 Now double the numbers again.4 What times table is this?5 Complete.2546 2 9079 4 33286 Fill in the gaps.a 2 8b 3 6c 4 16d 5 20e 6 12f 7 14g 8 32h 9 36i 10 20jk 8 16l 6 244 40Multiplication & Division Grade 3 Topic 213 Blake eLearning
8 times table1Times tablesFind the answers. 01234567891082 How many legs?abcdefghij 1 8 8 1 10 8 8 4 8 6 8 8 8 3 Complete.a 8 16b 8 40c 8 32d 8 56e 8 24f 8 48Multiplication & Division Grade 3 Topic 214 Blake eLearning
10 times tableTimes tables1 Write equations for the problems.8 packets of 10 pencils. Howmany pencils altogether?10 erasers in a box. 3 boxes.How many erasers in total?a b 4 children grab the hoop.How many fingers on thehoop?10 decades in a century.How many years is that?c d I have two 10 notes. Howmuch money do I have?9 squids have 10 limbs each.How many squid limbsin total?e f 2 Find the answers. 012345678910103 Complete.a 10 5 b 10 90c 10 2 d 10 100e 10 6 f 10 30g 10 1 h 10 70iMultiplication & Division Grade 3 Topic 21510 4 Blake eLearning
5 times tableTimes tables1 Write equations to find the answers.How many limbs?How many toes?a b How many cents?How many sides?c d 2 Find the answers. 01234567891053 Double those answers.x24 What times table is this?5 Complete.a 5 5 b 5 40c 5 2 d 5 20e 5 9 f 5 30Multiplication & Division Grade 3 Topic 216 Blake eLearning
3 times table1Times tablesHow many leaves?a 3 b 3 c 3 d 3 e 3 f 3 2 Find the answers. 01234567891033 Complete.a 3 2 2 3 b 3 5 3 c 3 7 d 3 8 e 3 3 f 3 6 Multiplication & Division Grade 3 Topic 217 Blake eLearning
6 times tableTimes tables1 Find the answers. 01234567891062 How many legs?a 6 b 6 c 6 d 6 e 6 f 6 g 6 h 6 Multiplication & Division Grade 3 Topic 218 Blake eLearning
Multiplication factsTimes tables1 Fold this sheet in half. Complete the top half. Time yourself.a8 2 b 7 7 c 3 9 d6 5 e 4 9 f 5 5 g10 3 h9 8 i7 4 j8 8 k 9 2 l4 6 m 3 8 n9 9 o 6 10 p7 9 q 8 4 r 6 6 s5 4 t6 8 u 6 3 v 10 10 w 7 5 x 9 6 yzTime:5 9 6 7 2 Complete the bottom half. Time yourself. Were you faster?a4 4 b 7 8 c 8 6 d8 5 e 3 7 f 9 4 g8 3 h9 5 i4 5 j8 9 k 7 6 l5 7 m 9 3 n4 8 o 9 7 p5 6 q 2 9 r 4 7 s6 9 t10 4 u 7 10 v 6 4 w 8 7 x 3 5 yzTime:4 3 Multiplication & Division Grade 3 Topic 25 8 19 Blake eLearning
Times table problems1Times tablesWrite the equation and find the answer.a Jenny had four packets of eight candieseach. How many candies altogether? b Benny made five cakes. Each cake usedtwo eggs. How many eggs altogether? c Penny bought nine packets of bouncy balls.Each pack had four balls in it.How many balls altogether? d Kenny organised his toy soldiers.He had two rows of six soldiers.How many soldiers altogether?e Lenny baked four trays of muffins.Each tray held six muffins.How many muffins altogether? 2 Find the answer.a Billy gave two marbles to each ofseven friends. How many marbles didhe give out?b Lily cut four pizzas into four slices each.How many slices of pizza?c Willy washed five cars.How many wheels did he wash?d Milly bought four new pairs of shoes.How many shoes altogether?e Gilly was given two packets of new pencils.Each pack held nine pencils. How manynew pencils altogether?Multiplication & Division Grade 3 Topic 220 Blake eLearning
Mental math puzzleTimes tablesComplete the sums to decode the message.2 44 53 35 56 78 59 37 48 44 42 93 65 64 104 93 124 65 23 107 59 43 82 129 52 106 510 36 66 42 68 37 7.3 45 47 92 86 3348445369VWXYZ55324910035Multiplication & Division Grade 3 Topic 22110 10 Blake eLearning
Groups1DivisionShare the shapes into groups. Find the answer.ab 15 5 c 14 7 d 18 2 16 4 2 Share the shapes into groups. Find the missing number.a 21 cb 315 d 24 22 5 12 4Multiplication & Division Grade 3 Topic 3 2 Blake eLearning
Arrays1DivisionWrite a division equation to go with each array.a c e b d h 23 f Multiplication & Division Grade 3 Topic 3 g Blake eLearning
EquationsUse the array.Division1 Answer the sum. 2 Write the related sum.abcdefg Multiplication & Division Grade 3 Topic 318 3 12 3 16 2 20 2 24 3 28 4 14 2 24 Blake eLearning
Inverse operationsDivision1 Write a multiplication and a division for each array.ab2 3 62 4 6 cd 2 Complete the inverse operations.a 5 6 b 20 5 c 4 6 d 27 3 Multiplication & Division Grade 3 Topic 3 25 Blake eLearning
Related sumsDivision1 Write the related sums.a2 4 d5 8b 3 6 30e6 5 15 b 36 9 e 32 4 6 10 60 c 4f7 24 4 28 2 Write the related sums.a 50 5 10 d 42 7 6 4c 72 8 8f21 9 7 3 3 Write the related sums.a2 8 16 d4 b 9 5 3 20e 27c5 6 8 5 25 48f7 7 49 4 Write the related sums.a 35 7 d 45 5 9 b 24 3 5 Multiplication & Division Grade 3 Topic 3 8c 90 e 56 8 269 10 7f 81 9 9 Blake eLearning
Division1DivisionAnswer the division equations.a 18 9 b 14 2 c 30 6 d 24 4 e 12 2 f 49 7 g 15 5 h 30 10 i16 4 jk 21 3 l45 9 32 8 2 Are these equations correct? for yes. for no.a 12 3 4b 16 8 3c 24 8 3d 24 4 4e 18 6 3f 20 5 5g 28 4 9h 25 5 5i48 6 7jk 42 7 7l35 7 536 6 63 Complete the equation. Write the related division.a 20 4 b 36 9 c 63 7 d 48 6 e 27 3f 54 9g 40 4h 72 8Multiplication & Division Grade 3 Topic 327 Blake eLearning
Division facts1DivisionFold this sheet in half. Complete the top half. Time yourself.a 16 4 b 56 7 c 48 8 d 21 3 e 36 6 f 90 9 g 40 5 h 32 4 i54 9 j35 5 k 60 10 l28 7 m 63 7 n 36 4 o 45 5 p 72 9 q 64 8 r 42 6 s24 8 t 25 5 u 81 9 v 24 4 w 30 6 x 27 9 y 18 3 z 20 5 Time:2 Complete the bottom half. Time yourself. Were you faster?a 80 10 b 49 7 c 54 6 d 28 4 e 63 9 f 30 5 g 100 10 h 42 7 i35 7 jk 20 4 l81 9 m 27 3 n 18 6 o 45 9 p 24 6 q 48 6 r 32 8 s70 7 t 40 8 u 21 7 v 24 3 w 64 8 x 36 9 y 36 6 z 56 8 Time:72 8 Multiplication & Division Grade 3 Topic 328 Blake eLearning
Division problemsDivisiona Circle the numbers and clues.b Complete the equation. Calculate the answer.1a Dizzy has 24 fishing flies.He shares them equallybetween himself, Ruby,and Mrs. T. How manyflies does each personget?2 a Mrs. T makes 24sandwiches. She puts anequal number into eachof four boxes. Howmany sandwiches ineach box?b b 3 a Ruby has 24 feet offishing line. She cuts itinto twelve equallengths. How long is eachshort line?4 a Ruby, Mrs. T, and Dizzyeach bring the samenumber of apples.Altogether they have36 apples. How many dideach person bring?b b 5 Write a problem to go with this division equation.36 6 6Multiplication & Division Grade 3 Topic 329 Blake eLearning
Pyramid puzzlesDivision1 Complete the pyramids using multiplication and Multiplication & Division Grade 3 Topic 33302l8132643g563j234058 Blake eLearning
Inverse operations1Number fact familiesWhat number completes the pairs of inverse operations?a 3 4 4 3b 6 3030 6c9 8 8 9d 4 3636 4e 10 7070 10 f56 7 7 562 Write the inverse operation.a 6 10 60b 48 8 6c3 5 15d 20 4 5e 7 9 63f100 10 103 Complete the number fact families.a 5 7 cb4 8 7 5 5 7 7 5 4 86 9 d 42 6 Multiplication & Division Grade 3 Topic 431 Blake eLearning
Number fact families 11Number fact familiesComplete the number fact families.12a627b26 2 393 27 3 272 6 45c 6 227 3 2 627 359 9 459 4545 945 9 2 Complete the related sums.b 9 2 a 3 4 c 5 8 4 122 188 12 418 240 4 3d 7 10 70 2 9e 6 9 40 8 8 5f 5 7 7 70 6 54 5 35 7 10 6 9 5 7 7Multiplication & Division Grade 3 Topic 454 63235 5 Blake eLearning
Number fact families 2Number fact familiesComplete the number fact families.1 a5 6 30b4 7 28c8 9 72 2 ab273c932484267 3 ab59c68710 Multiplication & Division Grade 3 Topic 433 Blake eLearning
Number mountains1Number fact familiesComplete the number mountains.ab48c4054492 Write a number fact family for each number mountain above.a b c 3 Fill in a number mountain for each equation.a 42 7 b 45 9 c 48 8 d 30 6 e 36 9 f 35 7 Multiplication & Division Grade 3 Topic 434 Blake eLearning
Missing numbers1Number fact familiesComplete the related sums.b 7 5 a 3 6 c 9 4 6 185 354 3618 635 536 4 6 3d 8 7 5 7e 5 10 4 9f 3 8 7 5610 508 2456 750 1024 8 7 8 10 5 8 32 Use related facts to help you find the missing numbers.a 63 dg 20 jm 64 p 9 9 6 4 9 8 8 5 9Multiplication & Division Grade 3 Topic 4b 4 6e 21 h 3 5 3k 80 n 10 7 4q 48 635c 40 fi 9 1030 lo 60 r 5 3 7 7 6 6 6 Blake eLearning
Number fact problemsNumber fact familiesUse your number fact knowledge to answer these problems.Show your working.1The farmer has eighty-one peachesto pack into boxes. Each box holdsnine peaches. How many boxes doesthe farmer need?2 The cows are herded into groupsof ten. There are seventy cowsaltogether. How many groupsare there?3 Tom can shear nine sheep a day.There are sixty-three sheep to shear.How many days will it take?4 It takes seven hours to harvest afield of wheat. Mia has spent a totalof fifty-six hours harvesting. Howmany fields has she harvested?5 The pigs eat twenty-five poundsof food every day. They getfive pounds each. How manypigs are there?Multiplication & Division Grade 3 Topic 436 Blake eLearning
Operations puzzleNumber fact familiesCan you work out which number each bug represents? 1224 15 10 4030 a b c d e f Multiplication & Division Grade 3 Topic 437 Blake eLearning
2-step multiplicationsMultiplication strategiesa Solve the first step. b What is the next step?c Draw an array and solve the problem.1Dottie played 2 games of scrabble with her dad 3 nightsa week for 4 weeks. How many games of scrabble didshe play?a 2 b c games of scrabble2 Robby eats 2 sandwiches for lunch every school day.The school terms goes for 10 weeks. How many sandwichesdoes Robby eat at school in one term?a 2 b c sandwiches3 Lottie played 2 games of soccer every Saturday and2 games of tennis every Sunday. Over 8 weeks, how manygames of sport did she play?a 2 b c games of sport4 Bobby has 5 shelves of shoes. Each shelf holds 4 shoe boxes.Each box holds a pair of shoes. How many shoes in total?a 5 Multiplication & Division Grade 3 Topic 5b 38c shoes Blake eLearning
Multiplication algorithms1Multiplication strategiesWrite an algorithm to solve each problem.a Chris books six taxis totake her and her friendsto lunch. Four people getin each taxi. How manypeople aregoing to lunch? b Naomi can fix five cars ina day. If she works allseven days one week, howmany cars can shefix in that week?c Amos buys nine boxes ofcookies. There are eightcookies in each box.How many cookiesdoes Amos have?d Alex bought six packetsof beads for his daughter.Each packet holds ninebeads. How many beadsaltogether? 2 Write two algorithms to solve each problem.a James ordered three crates of apples.Each crate holds three trays.Each tray holds nine apples. How many apples altogether? b Julie has a big library. She has two setsof book shelves with five shelveseach. Each shelf holds seven books.How many books does Julie have? Multiplication & Division Grade 3 Topic 539 Blake eLearning
Multiply 3 numbers1Multiplication strategiesMatch the items to their boxes. Fill in the equations.a 3 stacks of 4 books each. 200b 4 piles with 4 t-shirts in each pile. 12c 5 packets each holding 4 bags of 10 pencils. d 4 bags with 2 bundles of 7 carrots in each bag.5616 e 2 sacks each with 3 bags holding 8 balls.160 f 20 cartons holding 4 rows of 2 cans each.48 2 Complete.a 2 5 60b 3 4 120c 2 4 64d 4 5 40e 5 5 100f 8 8 640Multiplication & Division Grade 3 Topic 540 Blake eLearning
3 factor problems1Multiplication strategiesWrite the equation and find the answer.a Peter makes two pots anhour. He works for fivehours a day. How manypots does he make in tendays?b Gam rides ten miles in anhour. She rides for twohours a day. How manymiles does she travel infour days? c Dax packs cans into boxes.He fits eight rows of fivecans into the bottom ofeach box, and a secondlayer of cans on top. Howmany cans are in eachbox?d Rocky is organizinghis books. He has twobookcases. Each has sixshelves. He can fit twentybooks on each shelf. Howmany books fit into hisbookcases? 2 Find the answer.a Groot plants ten rows oftrees
The topics in this book align with the following components of the State Standards: 3.NBT.A.3 Multiply one-digit whole numbers by multiples of 10 in the range 10-90 using strategies based on place value and properties of operations. 3.OA.A.1 Interpret products of whole numbers. 3.OA.A.2 Interpret whole-number quotients of whole numbers.
