On this page: Learn & Practice | Manipulatives | Picture Books
learn & practice
โ๏ธ Multiplication Facts that Stick and Division Facts that Stick by Kate Snow. These two titles in Snowโs popular Facts that Stick series are designed to help parents teach the multiplication facts (to 10x10) and corresponding division facts through games, recitations, and practice sheets. Each book provides 10 weeks worth of activities meant to take about 15 minutes per day. โ Elementary
โ๏ธ Multiplication Workbooks from Kumon. For kids who could use extra practice, the Kumon workbooks are an appealing and cost-effective supplemental resource. Each grade-leveled book covers just one topic and features a clean layout and logical progression of skills. Here are the books in the Multiplication Series: My Book of Simple Multiplication (facts to 5 x 10), My Book of Multiplication (facts to 10 x 10), Grade 3 Multiplication (facts and properties of multiplication), and Grade 4 Multiplication (multi-digit multiplication). โ Elementary
โ๏ธ Division Workbooks from Kumon. There are two workbooks in the Division Series: Grade 3 Division (2-digit by 1-digit division, with and without remainders) and Grade 4 Division (up to 5-digit by 3-digit division, with and without remainders). โ Elementary
โ๏ธ Multiplication and Division worksheets from MathFactCafe. Use this free website to generate printable worksheets with answer keysโa great resource for drilling multiplication facts. You can tailor the worksheets by selecting problem type, number range, and the number of problems per sheet. โ All
โ๏ธ Arithmetic modules from Khan Academy. Khan Academy offers a wealth of free math educational resources, including a large library of instructional videos and online practice problem sets. The Multiplication & Division module covers single and multi-digit multiplication and division (with and without remainders).The Negative Numbers module includes a section on multiplying and dividing negative numbers. โ All
โ๏ธ Multiplication & Division from CK12. CK12 offers free, adaptive online practice across all areas of math. In the Multiplication module, practice single- and multi-digit multiplication, word problems, and mental multiplication. In Division, practice dividing by one or more digits, estimating quotients, and performing long division with and without remainders. In Exponents, practice working with exponents. In Factors, practice factoring and identifying GCF and LCM. โ All
โ๏ธ Multiplication & Division from PhET. โRemember your multiplication tables? Practice your multiplication, division, and factoring skills with this exciting game. No calculators allowed!โ โ Elementary โข Middle
โ๏ธ Area Model Introduction from PhET. โBuild rectangles of various sizes and relate multiplication to area. Partition a rectangle into two areas to discover the distributive property.โ โ Elementary โข Middle
โ๏ธ Area Model Multiplication from PhET. โBuild rectangles of various sizes and relate multiplication to area. Discover new strategies for multiplying large numbers. Use the game screen to test your problem solving strategies!โ โ Elementary โข Middle
โถ๏ธ Why canโt you divide by zero? from TED-Ed. โIn the world of math, many strange results are possible when we change the rules. But thereโs one rule that most of us have been warned not to break: donโt divide by zero. How can the simple combination of an everyday number and a basic operation cause such problems?โ โ All
manipulatives
๐๏ธ Hundred chart. A hundred chart is a useful aide for exploring patterns in multiplication and for identifying prime and composite numbers. Buy a pack of 10 laminated charts through Amazon or download and print some for free here. โ All
๐๏ธ Place Value Disks. A set of place value disks comes in handy as you're studying advanced arithmetic concepts, such as multiplication and division with numbers greater than 1000. The linked version consists of 280 multicolored disks representing place values from 1 to 1,000,000. โ Elementary
๐๏ธ Flash cards. When it comes time to memorize arithmetic facts, flash cards will become a must-have supplement. The linked image is for a deluxe pack, containing fact cards for addition, subtraction, multiplication, and division (0 to 12) as well as fractions, time and money. โ Elementary
Tip โ Make your own custom set with blank flash cards or index cards.
picture books
Picture books are a nice way to introduce new mathematical ideas. Even before your child is ready to memorize the times tables, she can gain a conceptual understanding of multiplication and division.
๐ One Grain of Rice by Demi. Hereโs a concrete lesson in the power of doubling. โA village girl outsmarts a selfish king by asking him to double a portion of rice every day for 30 days in order to feed the hungry.โ Alternatively, check out David Birch's The King's Chessboard for another version of this tale. โ Elementary
๐ Minnie's Diner by Dayle Ann Dodds. One by one, Papa McFay's five sons arrive at Minnie's Diner, each one twice as hungry as the last. The accommodating Minnie doubles the size of each consecutive order. The simple rhyming text and amusing illustrations make this a nice literature link for a lesson on doubling. โ Elementary
๐ The Lion's Share by Matthew McElligott. Here's another good literature-based illustration of the power of doubling. Lion throws a dinner party, but the guests rudely eat all of the cake, each taking half of the remaining portion until Lion and Ant are left with only crumbs. Mortified, Ant offers to bake Lion a special cake, prompting the others to commit to baking their own cakes. Each tries to outdo the others by promising to bake twice as many cakes as the last. It's a sweet and memorable lesson in fractions, doubling, and good manners. โ Elementary
Multiply on the Fly and The Great Divide by Suzanne Slade. These two animal-themed books from Slade's arithmetic series introduce multiplication and division using pictures and concrete examples; together, they provide a nice first introduction to these concepts. Ideas for further learning activities are provided at the back of each book. โ Elementary
๐ Anno's Magic Seeds by Mitsumasa Anno. Anno encourages readers to play around with multiplication and other arithmetic operations in this sweet little mathematical picture book about a man and a magic seed. Also see Anno's Mysterious Multiplying Jar for an imaginative introduction to factorials. โ Elementary
๐ One Hundred Hungry Ants by Elinor J. Pinczes. โOne hundred very hungry ants hurry to sample the delights of a picnic, but marching in single file seems too slow for 100 empty tummies. The smallest ant of all suggests they travel in 2 rows of 50, four rows of 25 . . . and the division begins.โ Also see Pinczes' A Remainder of One. This pair of books is a good introduction to division and remainders. โ Preschool โข Elementary
๐ Bean Thirteen by Matthew McElligott. โRalph warns Flora not to pick that thirteenth bean. Everyone knows itโs unlucky! Now that theyโre stuck with it, how can they make it disappear? If they each eat half the beans, thereโs still one left over. And if they invite a friend over, they each eat four beans, but thereโs still one left over! And four friends could each eat three beans, but thereโs still one left over!โ Here's a fun, subtle introduction to the concepts of division, remainders, and prime numbers for young kids. โ Elementary
๐ Amanda Bean's Amazing Dream by Cindy Neuschwander. Amanda loves to add, but doesn't see the use of multiplying, until a dream helps her to understand its value. This is a good book to read if you want to help your children appreciate why they should learn to multiply. โ Elementary
๐ The Best of Times: Math Strategies that Multiply by Greg Tang. Here, Tang gives handy strategies for multiplying by single digit numbers. (For example, to multiply by 4, just double twice.) Although the book probably can't replace rote memorization, kids will appreciate having these simple tricks to turn to when they get stuck. โ Elementary