Beginning Multiplication Worksheets using Arrays

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Welcome to the 2nd Grade Math Salamanders Beginning Multiplication Worksheets.

Here you will find our selection of free multiplication worksheets to help your child learn all about multiplication and how it works using arrays as models.

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Multiplication is introduced as a concept around Grade 2.

Unlike addition and subtracting, multiplication is a concept that does not come naturally to many children. Quite a lot of time may need to be dedicated in developing children's understanding of what multiplcation is and how it works. Time spent doing this is time well spent, so that children become more confident with their understanding of multiplication before they continue their journey into the multiplication table and solving multiplication problems.

The multiplication learning in 2nd Grade underpins future learning of the multiplication table, and the standard multiplication algorithm learnt in future grades.

During 2nd grade, children should be learning the following multiplication skills:

- understand what multiplication is and how it works;
- know the multiplication table to 5x5;
- solve simple multiplication problems.

Understanding Multiplication using Arrays

Understanding what multiplication looks like is a key step to understanding multiplication itself.

There are 2 different models for multiplication which tend to be used in different countries: the 'lots of' model and the 'multiplied by' model

'LOTS OF' OR 'MULTIPLIED BY'

The 'Lots of' Model

3x4 is 3 'lots of' 4 which is 4+4+4.

5x2 is 5 'lots of' 2 which is 2+2+2+2+2.

The 'Multiplied by' Model

3x4 is 3 'multiplied by' 4 which is 3+3+3+3.

5x2 is 5 multiplied by 2 which is 5+5.

The 'Lots of' Model Visually

In the example above, 3 x 4 has been written as a repeated addition using 3 'lots of' 4, shown as jumping along a number line, and also as an array or image.

The 'Multiplied by' Model Visually

In the example above, 3 x 4 has been written as a repeated addition using 3 'multiplied by' 4, shown as jumping along a number line, and also as an array or image.

Beginning Multiplication Worksheets

The following worksheets are all about learning to understand how multiplication works using arrays.

These sheets will give your child a good grounding in basic multiplication, and will help give them a mental picture in their heads of what it is all about.

An answer sheet is available for each worksheet provided.

The worksheets have been split into 2 sections: one for the 'lots of' model ,and one section for the 'multiplied by' model.

Using the sheets in this section will help your child to:

- understand how multiplication works;
- convert an array into a multiplication fact.

All the sheets in this section will help your child to develop their understanding of multiplication.

'Lots Of' Model Worksheets Using Arrays

'Multiplied by' Model Worksheets Using Arrays

Looking for more worksheets like these?

Try the free Understanding Multiplication Worksheets at the Math Salamanders!

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Using Multiplication as Repeated Addition

The following webpage involve understanding multiplication as repeated addition.

The sheets in this section are more challenging than the array sheets, as they are not based around visual models for support.

Using the sheets in this section will help your child to:

- understand multiplication as repeated addition;
- convert a repeated addition to a multiplication calculation.

All the sheets in this section will help your child to develop his or her multiplication understanding.

Multiplication to 5x5

The following webpages involve learning multiplication facts to 5x5.

The sheets in this section are for children who already have a solid grounding in what multiplication is and how it works. They involve the skill of adding multiplying numbers to 5x5.

Using the sheets in this section will help your child to:

- multiply numbers to 5x5;
- work out times table facts to 5x5 where the total is given but one of the other numbers is missing.

All the multiplication worksheets in this section will help your child to develop their speed and accuracy at multiplying.

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Here is the grading guide for our worksheets.

White

White is the easiest level for children at their early stages in 2nd grade.

Orange

Orange - this is the medium level of difficulty for children who are becoming more confident and working at the expected level in 2nd grade.

Purple

Purple - this is the hardest level for children who are nearly ready for 3rd grade math, or need that extra challenge.

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