Understanding Multiplication

"Math Salamanders Free Math Sheets"

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.

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At Second Grade, children love to explore Math with fun Math activities and games.
Children will enjoy completing these Second Grade Math games and Math worksheets
printable whilst learning at the same time.

During Second Grade, the Math work extends to place value up to 1000.
Children practice counting in ones, tens and hundreds from different starting points.
They build on their understanding of addition and subtraction and develop quick recall
of basic addition and subtraction facts. Their written methods in addition and
subtraction extends into using 3 digits.

At 2nd Grade children also learn to solve simple addition and subtraction problems and work out the answers mentally or on paper.
Children are also introduced to mutiplication and division at this stage, and also the fraction 'half'.
They learn their multiplication table up to 5x5.

The free printable Second Grade Math Worksheets, Games and other free Grade 2 Math sheets will help your child to
achieve their Elementary Math benchmark set out by Achieve, Inc.

In the UK, 2nd Grade is equivalent to Year 3.

Understanding Multiplication

'Lots of' OR 'Multiplied by'

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.

The 'Lots of' model

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.

The 'Multiplied by' model

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.

Understanding Multiplication Worksheets

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.

The 'Lots of' Multiplication Model Worksheets

The 'Multiplied by' Multiplication Model Worksheets

Looking for more worksheets like these?

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.

Second Grade Multiplication to 5x5

Here you will find a range of Free Printable Second Grade Multiplication Sheets
designed to help you child to learn their multiplication facts to 5x5.

Using these sheets will help your child to:

Using these sheets will help your child to:

- learn their multiplication facts up to 5x5.

Multiplication Games

Here you will find a range of Free Printable Multiplication games.

Using these sheets will help your child to:

Using these sheets will help your child to:

- learn their multiplication facts;
- develop their strategic thinking skills.

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