Multiplication - Greg Tang - 3rd Grade Math - Home
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Great TimesTM Multiplication WorksheetsSeries OverviewGreg Tang’s&' ()x !"# %Wouldn’t it be great if there were a better way for kidsMultiplicationWorksheetsGreg Tang’sLEARNINGGreg Tang’s&' ()x !"# %MultiplicationWorksheetstheBasicTimesTablesGreg Tang’s&' ()x !"# %volume 1to learn their multiplication facts instead of brute forceGreg etswww.gregtang.comGreg Tang’sBasicTimesTablesmemorization? If there were a systematic approach thatdevelops true understanding, improves number sense andExtendingextendingtheBasic volume 2TimesTablesvolume 3www.gregtang.comdevelops the abstract, algebraic thinking skills needed forhigher math? Well there is!www.gregtang.comGreg Tang’s three-part multiplication series builds onthe revolutionary strategies he first introduced in hisbest-selling picture book The Best of Times and madeeven more popular with his Great TimesTMmultiplicationflash cards. Now, Greg offers a series of worksheets thatprovides the instruction, practice and rigor kids need totruly master multiplication.In part 1 of the series, Learning the Basic Times Tables, students take the first stepin learning multiplication by thinking and adding in smart groups. Greg’s common senseapproach teaches basic multiplication facts while laying the groundwork for largernumbers. In part 2, Mastering the Basic Times Tables, students take the importantnext step by moving away from addition and learning to think more efficiently usingpartial products to multiply. Just as addition evolves from counting, multiplicationevolves from addition.In part 3 of the series, Beyond the Basic Times Tables,students learn to extend and apply partial products to doubledigit numbers. Being good at multiplication means being able tomultiply all numbers, not just small numbers. By applying smartgrouping strategies more generally, students also learn to thinkalgebraically – the key to being good in math.copyright 2011 Creative Smarts Inc1www.gregtangmath.com
Table of ContentsLearning the Basic Times TablesOverview . . . . . . . . page 3Basic Numbers (0, 1, 2, 10)Directions . . . . . . . . page 4Multiply by 0 . . . . . . . page 5Multiply by 1 . . . . . . . page 6Multiply by 2 . . . . . . . page 7Multiply by 10 . . . . . . . . page 8Review . . . . . . . . page 9Moderate Numbers (3, 4, 5, 9)Directions . . . . . . . . page 10Multiply by 3 . . . . . . . page 11Multiply by 4 . . . . . . . page 12Multiply by 5 . . . . . . . page 13Multiply by 9 . . . . . . . . page 14Review . . . . . . . . page 15Advanced Numbers (6, 7, 8)Directions . . . . . . . . page 16Multiply by 6 . . . . . . . page 17Multiply by 7 . . . . . . . page 18Multiply by 8 . . . . . . . page 19Review . . . . . . . . page 20Practice & AssessmentDirections . . . . . . . . page 21Grouping Practice . . . . . . . . . pages 22-32Assessment . . . . . . . . pages 33-43Answer Key . . . . . . . pages 44-46copyright 2011 Creative Smarts Inc2www.gregtangmath.com
OverviewMathematically speaking, multiplication is the process of scaling a number by a factoror multiple. To learn the basic times tables, students must learn to multiply or scalenumbers by factors ranging in size from 0 to 10. While traditional approaches rely onrote memorization, the goal here is to encourage students to derive answers by buildingon their understanding of addition. Each carefully designed worksheet teaches them tocreate a single group or product from smaller groups, and to break down larger groupsinto smaller groups or parts.Sequence. The worksheets are ordered to provide a logical sequence for learning.Basic, foundational strategies (0x, 1x, 2x, 10x) are introduced first, followed bymoderate (3x, 4x, 5x, 9x) and finally advanced strategies (6x, 7x, 8x). Learning issequential as students scaffold from easy skills to more advanced skills over time.Format. Every worksheet teaches and reinforces a specific multiplication strategythat is communicated verbally through rhymes, visually through pictures, and abstractlythrough equations. We challenge kids to see and work with smart groupings of numbersrather than discrete, single values.Vertically formatted worksheets provide an intuitive, top-to-bottom approach forderiving multiplication facts. Students will add in smart groups, the first step inlearning their times tables. Later in volume 2, they’ll learn to think more efficiently interms of partial products.VerticalFormat6 x 5 5 5 5 5 5 5 15 1530Assessment. Each section ends with worksheets that give students valuable practiceand also give teachers and parents an opportunity for assessment. Proficiency inmultiplication requires both fact fluency and a strong conceptual understanding.NOTE: These worksheets prepare students to multiply not just single-digit numbersbut larger numbers as well. A faster strategy may exist for a given problem, but weencourage students to master the specified strategy first.copyright 2011 Creative Smarts Inc3www.gregtangmath.com
DirectionsBasic Numbers 0, 1, 2, 10The basic numbers are the starting point and are foundational to the rest of thetimes tables. 0 and 1 are easy - 0 of any number is 0 and 1 of any number is itself.To multiply by 2, the best strategy is to double because doubling works with anynumber. Many kids are taught to skip count by 2, but this strategy only works forsmall numbers and is completely ineffective with larger numbers. As with all of thetimes tables, kids need to be proficient with addition first, and this does not meanusing counting strategies to add. Counting is counting – not adding!To multiply by 10, kids learn to add a zero to the end of the number. So 10x4 is 4with a 0 or 40. Most kids learn this trick but never understand why it works. Sincemultiplication is commutative, 10x4 equals 4x10. Thinking place value, a group of 4tens means the 4 must be in the ten’s place, so just add a 0 in the one’s place.Looking ahead. Mastering 2 is the key to multiplying by 3 and 4, and mastering 10 isthe key to multiplying by both 5 and 9.0x1x2x10xPages 5. 0 times any number is always 0. Forexample, 0 x 3 means a group of 0 threeswhich is 0.0 x 3 Pages 6. 1 times any number is just thatnumber. For example, 1 x 5 means a group of 1five which is 5.1 x 5 Pages 7. 2 times any number is just doublethat number. In this example, 2 x 7 is a groupof 2 sevens and 7 7 is the same as 7 doubledor 14.2 x 7 Pages 8. 10 times a number is simply thatnumber with a 0 on the end. Multiplication iscommutative, so 10 x 7 or a group of 10 sevensis the same as 7 x 10 or a group of 7 tens. Interms of place value, 7 tens is just 70.a group of 0 threes 0a group of 1 five 57 7 double 7 1410 x 7 7 x 107tens 0ones7 0tens onespage 9. Practice and show mastery of the grouping strategies for 0, 1, 2 and 10.copyright 2011 Creative Smarts Inc4www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesMultiply by 0“A group of 0’s fast and fun – no matter what the answer’s none!”Example: 0 x 9Think Smart:0 x 9 a group of 0 nines Think Smart1.Think Smart5.0 x 2 a group of 0 twos 2.6.0 x 3 a group of 0 threes7.0 x 4 a group of 0 fours0 x 8 a group of 0 eights 8.0 x 5 a group of 0 fives copyright 2011 Creative Smarts Inc0 x 7 a group of 0 sevens 4.0 x 6 a group of 0 sixes 3.00 x 9 a group of 0 nines 5www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesMultiply by 1“A group of 1 you won’t forget – what you see is what you get!”Example: 1 x 4Think Smart:1 x 4 a group of 1 four Think Smart1.Think Smart5.1 x 2 a group of 1 two 2.6.1 x 3 a group of 1 three7.1 x 4 a group of 1 four1 x 8 a group of 1 eight 8.1 x 5 a group of 1 five copyright 2011 Creative Smarts Inc1 x 7 a group of 1 seven 4.1 x 6 a group of 1 six 3.41 x 9 a group of 1 nine 6www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesMultiply by 2“A group of 2? It’s no trouble – just make sure you always double!”Example: 2 x 7(a group of 2 sevens)7Think Smart:72 x 7 7 7 double 14Think Smart1.2 x 2 2 2 doubleThink Smart5. 2.2 x 3 3 3 double6.6 6 double2 x 7 7 7 double 2 x 4 4 4 double7. 4.2 x 6 3.72 x 8 8 8 double 2 x 5 5 5 double8. copyright 2011 Creative Smarts Inc2 x 9 9 9 double 7www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesMultiply by 10“There’s nothing like a group of 10 – just put a zero at the end!”Example: 10 x 6(a group of 10 sixes)Think Smart:10 x 6 6 x 10 (commutative property)6 6 6 6 66 6 6 6 6Think Smart1.5.6.7.8.10 x 8 8 x 10tens10 x 9 9 x 10 tens copyright 2011 Creative Smarts Inctens 10 x 5 5 x 10 10 x 7 7 x 10 tens 4.tens 10 x 4 4 x 10 10 x 6 6 x 10 tens 3.60 10 x 3 3 x 10 tens tens 2.6Think Smart10 x 2 2 x 10 tens 8www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesPractice 0, 1, 2, 10Think Smart1.Think Smart6.0 x 7 a group of 0 sevens 2.1 x 3 a group of 1 three 7.1 x 6 a group of 1 six 2 x 9 9 9 double 3.2 x 4 4 4 double8. 4.9.tens2 x 8 8 8 double 5.tens 10 x 5 5 x 10 10 x 7 7 x 1010.0 x 8 a group of 0 eights10 x 6 6 x 10 tens copyright 2011 Creative Smarts Inc9www.gregtangmath.com
DirectionsModerate Numbers 3, 4, 5, 9The moderate numbers build on the basic numbers and leverage the importantconcept of breaking big groups into more manageable, smaller groups.To multiply by 3, think of a group of 3 as a group of 2 plus 1 more. Since you can’tadd 3 numbers simultaneously, first add 2 and then add the third. To multiply by 4,think of a group of 4 as two groups of 2. Multiplying by 3 and 4 requires students tomaster 2 or doubling first.To multiply a number by 5, first multiply by 10 and then take half since a group of 5is half of a group of 10. To multiply by 9, again start by multiplying by 10 but thistime subtract the extra one since a group of 9 is one less than a group of 10.Multiplying by 5 and 9 requires students to master 10 first.Looking ahead. Mastering 3 is the key to multiplying by 6, 4 is the key to 8, and 2and 5 are the key to 7.3x4x5x9xPages 11. For 3 times a number, think interms of smaller, easier groups. 3 x 5 or agroup of 3 fives is a group of 2 fives plus agroup of 1 five or 10 5 15. To multiply by 3,first master multiplying by 2.3 x 5 Pages 12. For 4 times a number, think interms of smaller, easier groups. 4 x 9 or agroup of 4 nines is a group of 2 nines plus agroup of 2 nines or 18 18 36. To multiply by4, first master multiplying by 2.4 x 9Pages 13. For 5 times a number, start with 10times the number then take half since ½ of 10is 5. A group of 5 eights is half of 10eights. Since 10 x 8 80, 5 x 8 40. Tomultiply by 5, first master multiplying by 10.5 x 8 Pages 14. For 9 times a number, start with 10times the number and take away since 10-1 is 9.A group of 9 sevens is a group of 10 sevensminus 7. Since 10x7 70, 9x7 63. To multiplyby 9, first master multiplying by 10.9 x 7 5 5 510 5 15 9 9 18 9 9 1836½ of ( 10 x 8 ) ½ of ( 40 80( 10 x 7 )70-)7763Page 15. Practice and show mastery of the grouping strategies for 3, 4, 5 and 9.copyright 2011 Creative Smarts Inc10www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesMultiply by 3“A group of 3 is quickly done – start with 2 and then add 1!”Example: 3 x 8(a group of 3 eights)Think Smart:3 x 8 88 88 8 816 8 Think Smart1.3 x 2 2 2 Think Smart5.2 3 x 3 3 3 6.3 4 4 7.4 3 x 7 247 7 7 3 x 8 8 8 3 x 5 26 4. 3 x 4 6 6 3.3 x 6 2.24 8 5 5 8.5 copyright 2011 Creative Smarts Inc3 x 9 9 9 9 11www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesMultiply by 4“A group of 4 is fast to do – if you think in groups of 2!”Example: 4 x 6(a group of 4 sixes)Think Smart:4 x 6 666 66 6 6 612 12 Think Smart1.4 x 2 2 2 Think Smart5.2 2 4 x 3 3 3 6.3 3 4 4 7.4 4 4 x 7 7 7 7 7 4 x 8 8 8 4 x 5 6 6 4. 4 x 4 6 6 3.4 x 6 2.24 8 8 5 5 8.5 5 copyright 2011 Creative Smarts Inc4 x 9 9 9 9 9 12www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesMultiply by 5“A group of 5 you’ll find with ease – half of 10 is just a breeze!”Example: 5 x 888(a group of 5 eights)88888 8Think Smart:5 x 8 88 1/2 of 40Think Smart1.5 x 2 5 x 3 5.1/2 of ( 10 x 2 )1/2 of5 x 4 5 x 5 1/2 of ( 10 x 6 )1/2 of 1/2 of ( 10 x 3 )6.1/2 of5 x 7 1/2 of ( 10 x 7 )1/2 of 1/2 of ( 10 x 4 )7.1/2 of5 x 8 4.5 x 6 3.80Think Smart 2.1/2 of ( 10 x 8 )1/2 of ( 10 x 8 )1/2 of 1/2 of ( 10 x 5 )8.1/2 of copyright 2011 Creative Smarts Inc5 x 9 1/2 of ( 10 x 9 )1/2 of 13www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesMultiply by 9“A group of 9 requires tact - start with 10 and then subtract!”Example: 9 x 7(a group of 9 sevens)777777777XThink Smart:9 x 7 9 x 2 ( 10 x 2 ) -9 x 3 5.2-( 10 x 3 )-6.3-( 10 x 6 )-6-7-8-9-9 x 7 ( 10 x 7 ) ( 10 x 4 )-7.4--9 x 8 ( 10 x 8 ) 9 x 5 9 x 6 4.763 9 x 4 -7 3.-Think Smart 2.70 Think Smart1.( 10 x 7 )- ( 10 x 5 ) -8.5- copyright 2011 Creative Smarts Inc9 x 9 ( 10 x 9 )- 14www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesPractice 3, 4, 5, 9Think Smart1.3 x 7 7 7 Think Smart6.7 4 x 6 6 6 7.6 6 9 x 4 1/2 of ( 10 x 5 )8.1/2 of1/2 of ( 10 x 6 )1/2 of9 x 5 ( 10 x 5 ) ( 10 x 4 )-9.45 x 7 --5-1/2 of ( 10 x 7 )1/2 of 3 x 8 5.7 7 4.5 x 6 5 x 5 3.7 7 2.4 x 7 8 8 810. copyright 2011 Creative Smarts Inc9 x 6 ( 10 x 6 )-6- 15www.gregtangmath.com
DirectionsAdvanced Numbers 6, 7, 8The advanced numbers leverage the skills and facts learned from the basic andmoderate numbers. They challenge students to process larger groups and developtheir abstract thinking skills.To multiply a number by 6, think of a group of 6 as two groups of 3. 3 of a numberplus 3 of a number is 6 of that number. To multiply by 7, think of a group of 7 as agroup of 5 plus a group of 2. 5 of a number plus 2 of a number is 7 of that number.Finally, to multiply by 8, think of a group of 8 as two groups of 4. 4 of a number plus4 of a number is 8 of that number. To multiply by 6, students need to master 3first. For 7 they need to master 5 and 2, and for 8 they need to master 4.Looking ahead. Once students master their multiplication facts by adding in smartgroups (volume 1 of this series), the next step is to switch to partial products andinstead multiply in smart groups (volume 2). Both approaches lay the foundation formultiplying larger numbers (volume 3).6x7x8xPages 17. For 6 times a number, think interms of smaller, easier groups. 6 x 9 or agroup of 6 nines is a group of 3 nines plus agroup of 3 nines or 27 27 54. To multiply by6, first master multiplying by 3.6 x 9Pages 18. For 7 times a number, think interms of smaller, easier groups. 7 x 8 or agroup of 7 eights is a group of 5 eights plus agroup of 2 eights or 40 16 56. To multiplyby 7, first master multiplying by 2 and 5.7 x 8Pages 19. For 8 times a number, think interms of smaller, easier groups. 8 x 6 or agroup of 8 sixes is a group of 4 sixes plus agroup of 4 sixes or 24 24 48. To multiply by8, first master multiplying by 4.8 x 6 9 9 9 9 9 927 27 54 8 8 8 8 8 40 8 816566 6 6 6 6 6 6 624 2448Page 20. Practice and show mastery of the grouping strategies for 6, 7, and 8.copyright 2011 Creative Smarts Inc16www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesMultiply by 6“A group of 6 is clear to see – when you look for groups of 3!”Example: 6 x 5555(a group of 6 fives)55Think Smart:6 x 5 56 x 2 2 2 2 6 x 3 5.2 2 2 3 3 3 6.3 3 3 306 x 6 6 6 6 6 6 6 6 x 7 7 7 7 4 4 4 7.4 4 4 7 7 7 6 x 8 8 8 8 6 x 5 15 4. 6 x 4 15 3.5 5 5Think Smart 2. Think Smart1.5 5 5 8 8 8 5 5 5 8. 5 5 55 copyright 2011 Creative Smarts Inc6 x 9 9 9 9 9 9 9 17www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesMultiply by 7“A group of 7 can be quick – 5 and 2 will do the trick!”Example: 7 x 8(a group of 7 eights)Think Smart:7 x 8 8 88 8 888 Think Smart1.7 x 2 5. 7 x 3 6.3 3 3 3 3 3 3 7.4 4 4 4 4 4 4 7 x 8 7 x 5 16566 6 6 6 6 6 6 7 7 7 7 7 7 7 4.7 x 7 7 x 4 3.7 x 6 2.40Think Smart2 2 2 2 2 2 2 8 8 8 8 8 8 88 8 8 8 8 8 8 8.5 5 5 5 5 5 5 copyright 2011 Creative Smarts Inc7 x 9 9 9 9 9 9 9 9 18www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesMultiply by 8“A group of 8 is nothing more – than equal groups of 4 and 4!”Example: 8 x 9(a group of 8 nines)9 99 99 99 9Think Smart:8 x 9 Think Smart1.8 x 2 5.a8 x 3 6.3 3 3 3 3 3 3 3 a7.4 4 4 4 4 4 4 4 a8 x 8 8 x 5 36726 6 6 6 6 6 6 6 a7 7 7 7 7 7 7 7 a 4.8 x 7 8 x 4 3.8 x 6 2.36Think Smart2 2 2 2 2 2 2 2 9 9 9 9 9 9 9 98 8 8 8 8 8 8 8 a 8.5 5 5 5 5 5 5 5 a copyright 2011 Creative Smarts Inc8 x 9 9 9 9 9 9 9 9 9 a 19www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesPractice 6, 7, 8Think Smart1.6 x 5 5 5 5 Think Smart6.5 5 5 7 x 4 7.4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 8.a6 6 6 9.6 6 6 8 x 5 7 x 5 7 7 7 7 7 7 6 6 6 6 6 6 6 5.7 x 6 6 x 6 a 4.6 x 7 8 x 3 3.4 4 4 4 4 4 4 4 2.8 x 4 5 5 5 5 5 5 5 5 a 5 5 5 5 5 5 5 10. copyright 2011 Creative Smarts Inc7 x 7 7 7 7 7 7 7 7 20www.gregtangmath.com
DirectionsPractice & AssessmentWhen assessing multiplication skills, it’s important to evaluate both strategies andanswers. Students need command of their basic math facts, but they also need theability to think abstractly in groups both large and small. The following worksheetsallow teachers to assess a student’s grouping ability, mental math skills, and fluencywith basic facts.To begin, students must apply every multiplication strategy to the same number,then generalize by applying different strategies to different numbers. Finally, theycan demonstrate mastery through timed tests written in the traditional problemanswer format with no verbal or visual clues.Pages 22-32. Practice all the strategies by applying them to a single number at atime. For example, practice grouping 7s by applying every strategy to the number 7(1x7, 2x7, 3x7, etc). This contrasts with previous worksheets where a singlestrategy (e.g. multiply by 7) was applied to different numbers (7x1, 7x2, 7x3).1 x 7a group of12 x 7double73 x 77 7 7 seven14 71 x 7 72 x 7 143 x 7 21Pages 33-43.Now think more generally by applying different strategies todifferent numbers.This provides an opportunity to assess a student’scomprehensive understanding of basic multiplication. Every strategy is applied toevery number in random order to eliminate visual or sequencing clues.5 x 81/2 of(10x84 x 66 6 6 6 12 9 x 3copyright 2011 Creative Smarts Inc(10x321)5 x 8 40124 x 6 24) - 39 x 3 27www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesPractice Grouping OnesPractice grouping 1s in groups ranging in size from 0 to 10. This contrastswith finding 1 times a number, which means putting numbers into groups of 1.Example.4x1 means “a group of 4 ones” or 1 1 1 11x4 means “a group of 1 four” or 4Think SmartThink Quick1.0 x 0a group ofzeroes0 x 0 2.1 x 0a group ofzero1 x 0 3.2 x 0double4.3 x 00 0 0 3 x 0 5.4 x 00 0 0 0 4 x 0 6.5 x 01/2 of (x7.6 x 00 0 0 0 0 0 6 x 0 8.7 x 00 0 0 0 0 0 0 7 x 0 9.8 x 00 0 0 0 0 0 0 0 8 x 0 10.9 x 0) - 09 x 0 11.10 x 0copyright 2011 Creative Smarts Inc(2 x 0 x0 x 10 ten22)5 x 0 10 x 0 www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesPractice Grouping OnesPractice grouping 1s in groups ranging in size from 0 to 10. This contrastswith finding 1 times a number, which means putting numbers into groups of 1.Example.4x1 means “a group of 4 ones” or 1 1 1 11x4 means “a group of 1 four” or 4Think SmartThink Quick1.0 x 1a group ofones0 x 1 2.1 x 1a group ofone1 x 1 3.2 x 1double4.3 x 11 1 1 3 x 1 5.4 x 11 1 1 1 4 x 1 6.5 x 11/2 of (x7.6 x 11 1 1 1 1 1 6 x 1 8.7 x 11 1 1 1 1 1 1 7 x 1 9.8 x 11 1 1 1 1 1 1 1 8 x 1 10.9 x 1) - 19 x 1 11.10 x 1copyright 2011 Creative Smarts Inc(2 x 1 x1 x 10 ten23)5 x 1 10 x 1 www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesPractice Grouping TwosPractice grouping 2s in groups ranging in size from 0 to 10. This contrastswith finding 2 times a number, which means putting numbers into groups of 2.Example.5x2 means “a group of 5 twos” or 2 2 2 2 22x5 means “a group of 2 fives” or 5 5Think SmartThink Quick1.0 x 2a group oftwos0 x 2 2.1 x 2a group oftwo1 x 2 3.2 x 2double4.3 x 22 2 2 3 x 2 5.4 x 22 2 2 2 4 x 2 6.5 x 21/2 of (x7.6 x 22 2 2 2 2 2 6 x 2 8.7 x 22 2 2 2 2 2 2 7 x 2 9.8 x 22 2 2 2 2 2 2 2 8 x 2 10.9 x 2) - 29 x 2 11.10 x 2copyright 2011 Creative Smarts Inc(2 x 2 x2 x 10 tens24)5 x 2 10 x 2 www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesPractice Grouping ThreesPractice grouping 3s in groups ranging in size from 0 to 10. This contrastswith finding 3 times a number, which means putting numbers into groups of 3.Example.6x3 means “a group of 6 threes” or 3 3 3 3 3 33x6 means “a group of 3 sixes” or 6 6 6Think SmartThink Quick1.0 x 3a group ofthrees0 x 3 2.1 x 3a group ofthree1 x 3 3.2 x 3double4.3 x 33 3 3 3 x 3 5.4 x 33 3 3 3 4 x 3 6.5 x 31/2 of (x7.6 x 33 3 3 3 3 3 6 x 3 8.7 x 33 3 3 3 3 3 3 7 x 3 9.8 x 33 3 3 3 3 3 3 3 8 x 3 10.9 x 3) - 39 x 3 11.10 x 3copyright 2011 Creative Smarts Inc(2 x 3 x3 x 10 tens25)5 x 3 10 x 3 www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesPractice Grouping FoursPractice grouping 4s in groups ranging in size from 0 to 10. This contrastswith finding 4 times a number, which means putting numbers into groups of 4.Example.8x4 means “a group of 8 fours” or 4 4 4 4 4 4 4 44x8 means “a group of 4 eights” or 8 8 8 8ThinkMultiplicationThinkQuickThink Smart1.0 x 4a group offours0 x 4 2.1 x 4a group offour1 x 4 3.2 x 4double4.3 x 44 4 4 3 x 4 5.4 x 44 4 4 4 4 x 4 6.5 x 41/2 of (x7.6 x 44 4 4 4 4 4 6 x 4 8.7 x 44 4 4 4 4 4 4 7 x 4 9.8 x 44 4 4 4 4 4 4 4 8 x 4 10.9 x 4) - 49 x 4 11.10 x 4copyright 2011 Creative Smarts Inc(2 x 4 x4 x 10 tens26)5 x 4 10 x 4 www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesPractice Grouping FivesPractice grouping 5s in groups ranging in size from 0 to 10. This contrastswith finding 5 times a number, which means putting numbers into groups of 5.Example.2x5 means “a group of 2 fives” or 5 55x2 means “a group of 5 twos” or 2 2 2 2 2Think SmartThink Quick1.0 x 5a group offives0 x 5 2.1 x 5a group offive1 x 5 3.2 x 5double4.3 x 55 5 5 3 x 5 5.4 x 55 5 5 5 4 x 5 6.5 x 51/2 of (x7.6 x 55 5 5 5 5 5 6 x 5 8.7 x 55 5 5 5 5 5 5 7 x 5 9.8 x 55 5 5 5 5 5 5 5 8 x 5 10.9 x 5) - 59 x 5 11.10 x 5copyright 2011 Creative Smarts Inc(2 x 5 x5 x 10 tens27)5 x 5 10 x 5 www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesPractice Grouping SixesPractice grouping 6s in groups ranging in size from 0 to 10. This contrastswith finding 6 times a number, which means putting numbers into groups of 6.Example.3x6 means “a group of 3 sixes” or 6 6 66x3 means “a group of 6 threes” or 3 3 3 3 3 3Think SmartThink Quick1.0 x 6a group ofsixes0 x 6 2.1 x 6a group ofsix1 x 6 3.2 x 6double4.3 x 66 6 6 3 x 6 5.4 x 66 6 6 6 4 x 6 6.5 x 61/2 of (x7.6 x 66 6 6 6 6 6 6 x 6 8.7 x 66 6 6 6 6 6 6 7 x 6 9.8 x 66 6 6 6 6 6 6 6 8 x 6 10.9 x 6) - 69 x 6 11.10 x 6copyright 2011 Creative Smarts Inc(2 x 6 x6 x 10 tens28)5 x 6 10 x 6 www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesPractice Grouping SevensPractice grouping 7s in groups ranging in size from 0 to 10. This contrastswith finding 7 times a number, which means putting numbers into groups of 7.Example.4x7 means “a group of 4 sevens” or 7 7 7 77x4 means “a group of 7 fours” or 4 4 4 4 4 4 4Think SmartThink Quick1.0 x 7a group ofsevens0 x 7 2.1 x 7a group ofseven1 x 7 3.2 x 7double4.3 x 77 7 7 3 x 7 5.4 x 77 7 7 7 4 x 7 6.5 x 71/2 of (x7.6 x 77 7 7 7 7 7 6 x 7 8.7 x 77 7 7 7 7 7 7 7 x 7 9.8 x 77 7 7 7 7 7 7 7 8 x 7 10.9 x 7) - 79 x 7 11.10 x 7copyright 2011 Creative Smarts Inc(2 x 7 x7 x 10 tens29)5 x 7 10 x 7 www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesPractice Grouping EightsPractice grouping 8s in groups ranging in size from 0 to 10. This contrastswith finding 8 times a number, which means putting numbers into groups of 8.Example.2x8 means “a group of 2 eights” or 8 88x2 means “a group of 8 twos” or 2 2 2 2 2 2 2 2Think SmartThink Quick1.0 x 8a group ofeights0 x 8 2.1 x 8a group ofeight1 x 8 3.2 x 8double4.3 x 88 8 8 3 x 8 5.4 x 88 8 8 8 4 x 8 6.5 x 81/2 of (x7.6 x 88 8 8 8 8 8 6 x 8 8.7 x 88 8 8 8 8 8 8 7 x 8 9.8 x 88 8 8 8 8 8 8 8 8 x 8 10.9 x 8) - 89 x 8 11.10 x 8copyright 2011 Creative Smarts Inc(2 x 8 x8 x 10 tens30)5 x 8 10 x 8 www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesPractice Grouping NinesPractice grouping 9s in groups ranging in size from 0 to 10. This contrastswith finding 9 times a number, which means putting numbers into groups of 9.Example.3x9 means “a group of 3 nines” or 9 9 99x3 means “a group of 9 threes” or 3 3 3 3 3 3 3 3 3Think SmartThink Quick1.0 x 9a group ofnines0 x 9 2.1 x 9a group ofnine1 x 9 3.2 x 9double4.3 x 99 9 9 3 x 9 5.4 x 99 9 9 9 4 x 9 6.5 x 91/2 of (x7.6 x 99 9 9 9 9 9 6 x 9 8.7 x 99 9 9 9 9 9 9 7 x 9 9.8 x 99 9 9 9 9 9 9 9 8 x 9 10.9 x 9) - 99 x 9 11.10 x 9copyright 2011 Creative Smarts Inc(2 x 9 x9 x 10 tens31)5 x 9 10 x 9 www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesPractice Grouping TensPractice grouping 10s in groups ranging in size from 0 to 10. This contrasts withfinding 10 times a number, which means putting numbers into groups of 10.Example.4x10 means “a group of 4 tens” or 10 10 10 1010x4 means “a group of 10 fours” or 4 4 4 4 4 4 4 4 4 4Think SmartThink Quick1.0 x 10a group oftens0 x 10 2.1 x 10a group often1 x 10 3.2 x 10double4.3 x 1010 10 10 3 x 10 5.4 x 1010 10 10 10 4 x 10 6.5 x 101/2 of (x7.6 x 1010 10 10 10 10 10 6 x 10 8.7 x 1010 10 10 10 10 10 10 7 x 10 9.8 x 1010 10 10 10 10 10 10 10 8 x 10 10.9 x 10x) - 109 x 10 11.10 x 10copyright 2011 Creative Smarts Inc(2 x 10 10 x 10 hundred32)5 x 10 10 x 10 www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesAssessment 1Mastery of basic multiplication facts means being able to both quicklyrecall and quickly derive every answer. This requires a lot of practice andhard work, so practice these worksheets until you can do them fast!Think Smart1.6 x 82.9 x 93.5 x 101/2 of (4.1 x 6a group of5.4 x 22 2 2 2 4 x 2 6.7 x 00 0 0 0 0 0 0 7 x 0 7.0 x 4a group of8.3 x 77 7 7 3 x 7 9.8 x 55 5 5 5 5 5 5 5 8 x 5 10.2 x 1double11.10 x 3copyright 2011 Creative Smarts Inc8 8 8 8 8 8 Think Quick(x 6 x 8 ) - 99 x 9 xsixfours)5 x 10 1 x 6 0 x 4 2 x 1 3 x 10 tens3310 x 3 www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesAssessment 2Mastery of basic multiplication facts means being able to both quicklyrecall and quickly derive every answer. This requires a lot of practice andhard work, so practice these worksheets until you can do them fast!Think Smart1.6 x 92.9 x 103.5 x 01/2 of (4.1 x 7a group of5.4 x 33 3 3 3 4 x 3 6.7 x 11 1 1 1 1 1 1 7 x 1 7.0 x 5a group of8.3 x 88 8 8 3 x 8 9.8 x 66 6 6 6 6 6 6 6 8 x 6 10.2 x 2double11.10 x 4copyright 2011 Creative Smarts Inc9 9 9 9 9 9 Think Quick( x6 x 9 ) - 10xsevenfives9 x 10 )5 x 0 1 x 7 0 x 5 2 x 2 4 x 10 tens3410 x 4 www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesAssessment 3Mastery of basic multiplication facts means being able to both quicklyrecall and quickly derive every answer. This requires a lot of practice andhard work, so practice these worksheets until you can do them fast!Think Smart10 10 10 10 10 10 Think Quick1.6 x 102.9 x 03.5 x 11/2 of (4.1 x 8a group of5.4 x 44 4 4 4 4 x 4 6.7 x 22 2 2 2 2 2 2 7 x 2 7.0 x 6a group of8.3 x 99 9 9 3 x 9 9.8 x 77 7 7 7 7 7 7 7 8 x 7 10.2 x 3double11.10 x 5copyright 2011 Creative Smarts Inc(x 6 x 10 ) - 0xeightsixes9 x 0 )5 x 1 1 x 8 0 x 6 2 x 3 5 x 10 tens3510 x 5 www.gregtangmath.com
Name:Date:Teacher:Part 1: Learning the Basic Times TablesAssessment 4Mastery of basic multiplication facts means being able to both quicklyrecall and quickly derive every answer. This requires a lot of practice andhard work, so practice these worksheets until you can do them fast!Think Smart0 0 0 0 0 0 Think Quick1.6 x 02.9 x 13.5 x 21/2 of (4.1 x 9a group of5.4 x 55 5 5 5 4 x 5 6.7 x 33 3 3 3 3 3 3 7 x 3 7.0 x 7a group of8.3 x 109.(x 6 x 0 ) - 19 x 1 xninesevens)5 x 2 1 x 9 0 x 7 10 10 10 3
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