division

​division

By Luke Pencheon

today you will learn about division, including dividing into equal groups, long division, dividing with remainder and decimals

By Luke Pencheon

Open Ended

research:

What is division?

What is division?

Division is the process of sharing a number into equal parts or groups.
Division is one of the four basic operations (arithmetic operations) and it is the inverse or opposite of multiplication.

To write a division equation, you write the number being divided, the dividend, then a division sign,

By Luke Pencheon

For example,

Annie wants to split her 28 marbles into equal groups of 4. How many marbles will be in each group?

You would write this as

28÷4=?

By Luke Pencheon

By Luke Pencheon

By Luke Pencheon

There are many different ways to solve division problems.
Today, we’re going to look at a visual method called the grid method.

This method helps us break numbers into smaller, easier parts. If you feel confident with understanding the value of numbers, you can replace the pictures or visual models with mental maths—the same thinking still applies.

The grid method is especially useful because:

• It shows each step clearly

• It helps you see how many groups you are making

• It builds a strong understanding of place value

By the end of today’s lesson, you should be able to use the grid method to solve division questions and explain how it works.

By Luke Pencheon

​96 ÷ 3

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​24 ÷4

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​745 ÷ 6

By Luke Pencheon

​A baker makes 155 cupcakes. Boxes hold 5 cupcakes each.

By Luke Pencheon

A water tank holds 80 litres. Ben has a 3 litres jug, how many full jug could ben have, and how many litres will be left over

By Luke Pencheon

A water tank holds 80 litres. Ben has a 3 litres jug, how many full jug could ben have, and how many litres will be left over

By Luke Pencheon

When a divisor becomes too large to draw using pictures or grids, we can move on to using inverse operations to help us divide.

Instead of drawing groups, we can write out the times table of the divisor. This helps us see how many times the divisor fits into the larger number.

​245 ÷ 15

By Luke Pencheon

When a divisor becomes too large to draw using pictures or grids, we can move on to using inverse operations to help us divide.

Instead of drawing groups, we can write out the times table of the divisor. This helps us see how many times the divisor fits into the larger number.

​84 ÷ 24

By Luke Pencheon

When a divisor becomes too large to draw using pictures or grids, we can move on to using inverse operations to help us divide.

Instead of drawing groups, we can write out the times table of the divisor. This helps us see how many times the divisor fits into the larger number.

​1520 ÷ 25

By Luke Pencheon

Using Fractions and Simplifying to Help with Division

We can also use our understanding of fractions to help us with division. As you already know, fractions and division are basically the same thing:

This gives us the power to make many division problems smaller and easier.

If we rewrite a division question so that it looks like a fraction, we can then use simplifying to reduce the numbers. This often makes the divisor smaller and the calculation much easier.

By Luke Pencheon

example

By Luke Pencheon

example