Multiplication and Division Resources

Multiplication

Multiplication Math Facts Practice and Games

Virtual Flashcards Link- If you scroll to the bottom of the page in the link you can pick the math facts that you may be struggling with. This is a great resource for you if you do not have access to a printer to print flashcards.

Fast Multiples

In class we often play a game where we try to put our multiples for a number in order as fast as possible. We have cards with the multiples pre-made, but this easily could be replicated at home. For example-if you need to work on your 7's write out the multiples of seven, 7-70 (7, 14, 21, 28, 35, 49, 56, 63, 70) on index cards cut in half, post it notes or small squares of paper. This game can be played individually, as a team or in a family member vs. student style. As you play the multiple card you say the number out loud. Once every card is down you say the sequence again out loud. Learning the multiples for a number can provide a student a strategy for solving multiplication problems. For example if a student gets the problem 4 x 7 they could say the multiples 7, 14, 21, 28 to solve the equation.

Multiples of 2 Game

Use this virtual 10-sided dice and this game board to play the Doubles Facts Challenge Game. If you don’t have a printer you can have each player write their 2’s, 2-20 on a piece of paper and cross it out as you go.

Directions:

Players take turns rolling the 10 sided dice.
The player then doubles the number on the dice and covers that double fact on his side of the board with a marker of some sort (a bean, lego, any object can be a marker).
Players continue to take turns rolling, doubling and covering numbers on their side of the board. If a player rolls a number and the double fact is already covered his/her turn is skipped.
The first player to cover all of the numbers on his side of the board wins.

Multiplication Memory

This is another game we play for students when we are working on learning the multiplication facts. To play this game you will need 20 index cards, post it notes or pieces of paper cut the same size. On ten of the cards write out the numbers 1-10. On the other 10 cards write out the first 10 multiples for a multiplication group you are struggling with for example if you are struggling with your seven facts you could write out 7, 14, 21, 28, 35, 42, 49, 56, 63, 70. Then mix all twenty cards together and place them in a 4 x 5 grid pattern upside down. Take turns flipping over two cards. To get a match you need the number 1-10 and the corresponding multiple for your number of choice. For instance for 7's the cards 9 and 63 would be a match because 9 x 7 = 63. The player with the most matches at the end of the game wins. You can also use this to practice your division facts if I draw a 14 and a 2, I could say 14 divided by 2 equals 7.

Fast Facts

See how many multiplication facts you can complete in a minute. Roll two dice or one dice twice and say the fact. For instance if you roll a 2 and a 3, you would say 2 x 3 = 6 . If you don't have dice at home you can make your own using this paper copy and either glue or tape. Or you can use this virtual dice. For even more of a challenge make yourself a 4-9 dice using this blank cube template.

Factor Finder

For this game, you'll need two dice. For a fun challenge, use this Virtual Dice Tool for your dice. You can choose how many sides your die have. I recommend using one 6-sided and one 10-sided.

You can play against yourself, or find someone at home to play against.

1. Click "roll dice" on the virtual dice, or have each person roll their dice at the same time.

2. Multiply the two numbers that are displayed. The two numbers you see are the Factors, they are the numbers that you multiply.

3. When you have figured out the Product, or the answer to the multiplication problem, the first person to say the answer wins!

Be sure to work out your problems and check your partner's work. Think about the different strategies you know for solving multiplication problems (skip counting, double-double, double-double-double, half-tens, half-tens plus one, and more!).

Online Multiplication Games

For extra multiplication practice, check out these free GAMES from Education.com.

Multiplication Strategies and Tools

Multiplying by Multiples of 10

When you use area model it is helpful to understand how to multiply by a multiple of 10. Multiples of ten are any number that ends in a zero. Count by 10's: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100. Even try counting by 100's: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000. These are all multiples of ten.

When multiplying by multiples of ten, here is a helpful strategy to solve 6 x 40:

When faced with a problem with multiplying by multiples of ten, first try covering up that zero.

See: 6 x 40, Think: 6 x 4

You can use a variety of strategies to solve 6 x 4 to find a product of 24.

6 x 4 = 24

BUT, 40 is ten times greater than 4 (40 = 10 x 4)

SO, your product, or your answer, needs to be ten times greater, too! (24 x 10 = 240)

6 x 40 = 240

Area Models and Partial Products Web App

HERE is a web app from The Math Learning Center for multiplication with area models and using partial products.

Once inside the app, you can change the dimensions and partition out the shape to make it more manageable. It creates the partial product multiplication equations for you. Don't forget to add up all of your partial products to get your total!

Multiplying multi-digit numbers and checking with division:

Multiplication and division are partners! When you multiply, it is like wrapping a present. We can check our work to make sure we multiplied correctly by unwrapping the present, or dividing.

HERE is a video of Mrs. Ytreeide walking through a multi-digit multiplication problem and checking her solution using division.

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Game: Make the Largest Product

Here is a game that we've played in math group! If you don't have a deck of cards, you can dice or try these virtual tools for coming up with a number: Dice Roller, Adjustable Spinner. Try using your birthday! If your birthday is on November 24th, use 1 1 2 4 as your numbers for this game. You can also just choose or ask someone at home to choose four different numbers for you to use!

1. Shuffle cards and place them face down in a stack. (Or choose your four numbers in another way.)

2. Take four cards from the top of the stack and use them to create a 3-digit by 1-digit multiplication problem (three numbers on top and one number on the bottom). You'll be multiplying a number into the hundreds by a single digit number.

3. Write and solve your multiplication problem.

4. Rearrange your numbers and try to find the largest product, or the biggest number you can make.

5. Keep a record of the problems you make and their answers.

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Solving a multi-digit multiplication problem using the Area Model:

Here is a video of Mrs. Ytreeide solving a multi-digit multiplication problem using an area model.

When you're done, your work should look something like this:

Here is a video of Mrs. Ytreeide solving a multi-digit multiplication problem using an area model.

When you're done, your work should look something like this:

Video Tutorials

Intro to Array Strategy-Building an array and strategies to solve for product with the array. Here is some grid paper so you can build your own arrays.

Skip Counting Strategy-In this video Mrs. Foyil demonstrates how to use the hundreds chart to support you when you skip count. Skip counting and using knowledge of multiples is a great pre-skill or scaffold step for multiplication.

Multiplying by 10-In this video Mrs. Foyil explains why you can just add the zero. Remember there are no tricks in math there is just the noticing of patterns and all good Mathematicians understand the pattern.

Multiplying by 11-In this video Mrs. Foyil uses a model to explain the pattern that develops in the products of your 11's facts.

Multiplying by 12-In this video Mrs. Foyil shows how you can use a model to solve your 12 facts.

Multiplying one digit by two digit number-In this video Mrs. Foyil shows how to connect the area model to the standard logarithm.

Multiplying by multiples of ten- In this video Mrs. Ytreeide multiplies by multiples of ten.

Using Area Model to Solve a Multiplication Equation-In this video Mrs. Ytreeide walks you through using the area model to solve a multi-digit multiplication problem

Solving a Multi-digit Multiplication Equation-In this video Mrs. Ytreeide walks you through solving the problem and checking your work with division.

Fun Songs for Multiplication and Skip Counting

These video links are through NUMBEROCK website, which is an ad free site that has catchy songs for a lot of different math concepts. The videos are free, but additional resources you have to subscribe to view.

Repeated Addition for Multiplication