The distributive law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.

The dividend is the amount we are dividing.

Explain how the distributive law applies to division expressions with a common divisor

Maths

Combine multiplication with addition and subtraction

Explain how the distributive law applies to multiplication expressions with a common factor

Combine division with addition and subtraction

Use knowledge of the order of operations to solve equations

In this unit pupils will explore what happens when we combine addition and subtraction with multiplication and division, bringing up the need for the order of operations. In the future unit pupils will use priority of operations with positive and integers and decimals.

In the prior unit pupils explained the use of the commutative and associative laws when multiplying 3 or more numbers. In this unit pupils will explore what happens when we combine addition and subtraction with multiplication and division, bringing up the need for the order of operations.

In this unit pupils will explore what happens when we combine addition and subtraction with multiplication and division, bringing up the need for the order of operations.

Order of operations

Which expression has the same value as this expression? 24 ÷ 4 + 40 ÷ 4

How many coins are there in total? Which of the following correctly shows how to use the distributive law to solve this problem?

There are four tables in a classroom. Sam shares out 32 workbooks equally and Jun shares out 12 textbooks equally. How many books are there on each table? {{ }} books.

Which expression matches this problem? 
The new version of Battle Robots game uses teams of 4	Jun has 20 robots and Sam has 32 robots. Who can make the most teams, and by how many?

 Jun has 35 p in 5-pence coins and Sam has 25 p in 5-pence coins. How many more coins does Jun have than Sam?  Jun has {{ }} more coins. 

For the following equation, which operation should we undertake first? 5 + 8 − 1 ÷ 2 =

For the following equation, which operation should we undertake first? (5 + 7) ÷ 2 =

Match the equations to the correct solutions. 

Tick the equation which has the lowest value.

Explain how the distributive law applies to division expressions with a common divisor

Lesson outcome