Understanding Multiplication

Welcome to the Math Salamanders 2nd Grade Free Printable Multiplication Worksheets.

Here you will find a wide range of Second Grade Multiplication Worksheets, which will help your child understand how multiplication really works.

We explore two different models of multiplication: the 'lots of' model and the 'multiplied by' model.

You can choose which of these two methods you wish to use with your child.

Quicklinks to ...

'Lots of' OR 'Multiplied by' Multiplication Model

Should we say that 3 x 4 is 3 'lots of' 4 = 4 + 4 + 4 ?

Should we say that 3 x 4 is 3 'multiplied by' 4 = 3 + 3 + 3 + 3 ?

Does it really matter which way round you teach it?

The truth is at the end of the day that children need to know that both of these ways mean the same thing.

When children start learning about the commutative property of multiplication, they find out the it does not matter which way round you write a multiplication, they are equivalent.

However, on the other hand, when you first introduce children to multiplying, they need to understand that multiplication is the same as repeated addition and how it 'works'.

This means that, especially at grade 2 when multiplication is introduced, you need to be consistent in the way that you teach it.

One model for multiplication is the 'lots of' or 'times' model.

In this model, you teach the children that 3 x 4 is three 'lots of' four (4 + 4 + 4)

We have a range of worksheets below which reinforce how this model works.

Another model for multiplication is the 'multiplied by' model.

In this model, you teach the children that 3 x 4 is three multiplied by four (3 + 3 + 3 + 3)

Whichever model you choose to use, make sure you are consistent in your teaching until your child has a solid understanding of the commutative law and knows that 3x4 is the same as 4x3.

These worksheets are designed to help children in getting a solid understanding of multiplication as repeated addition.

They have been split into two separate sections, one section for each model of multiplication.

The sheets are graded so that the easier ones are at the top.

Using these sheets will help your child to:

- understand multiplication as arrays;
- being to understand that multiplication can be done in any order (commutative law);
- understand multiplication as repeated addition.

This quick quiz tests your understanding of multiplication using the 'Lots of' model.

This quick quiz tests your understanding of multiplication using the 'Multiplied by' model.

Try the Beginning Multiplication Worksheets at the 2nd Grade Math Salamanders!

On this site, you will find a wider selection of beginning multiplication worksheets.

Using the link below will open the 2nd Grade Math Salamanders site in a new browser window.

Take a look at some more of our worksheets similar to these.

Here you will find a range of Free Printable Second Grade Multiplication Worksheets.

The following worksheets involve using the 2nd Grade Math skills of multiplying, and solving multiplication problems.

Using these sheets will help your child to:

- learn their multiplication tables up to 5 x 5;
- understand multiplication as repeated addition;
- learn how multiplication and division are related to each other.

All the free Second Grade Math Worksheets in this section are informed by the Elementary Math Benchmarks for 2nd Grade.

Randomly Generated Multiplication Sheets

The following worksheets below are randomly generated worksheets - you get a different worksheet each time!

This is great if you want to practise and consolidate basic facts, but not so good if you are looking for graded sheets.

Here you will find a range of free printable Second Grade Money Worksheets.

The following worksheets involve counting different amounts of money in pennies, nickels, dimes and quarters.

There is a wider range of free money worksheets at the 2nd Grade Math Salamanders (see below). These sheets will open in a new tab.

Using these sheets will help your child to:

- learn the names and values of the US coins;
- learn to count up different amounts of money to $1 in coins.
- learn to count up to $10 in coins and dollar bills.

All the free Second Grade Math Worksheets in this section are informed by the Elementary Math Benchmarks for 2nd Grade.

Money Worksheets

Here you will find a range of free printable Second Grade Math games. All children like to play Math games, and you will find a good range of 2nd Grade Math Games here for your child to play and enjoy.

The following games involve different Second Grade Math activities which you and your child can enjoy together.

All the 2nd Second Grade Math worksheets in this section are informed by the Elementary Math Benchmarks for Second Grade.

How to Print or Save these sheets

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How to Print or Save these sheets

Need help with printing or saving?

Follow these 3 easy steps to get your worksheets printed out perfectly!

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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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We have updated and improved our fraction calculators to show you how to solve your fraction problems step-by-step!

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Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child

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- List of Geometric Shapes
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- Perimeter Worksheets

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