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

Common can mean that something is the same as something else. For example, when multiplication expressions each have one factor that is the same, they are said be common factors.

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

Maths

Combine multiplication with addition and subtraction

Combine division with addition and subtraction

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

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

Look for a common factor to help you match the expressions that are equal in value. 

Using the distributive law, which expression is equal in value to this expression?

Compare the two expressions using < > or =

Use the distributive law to solve this problem. Marbles come in bags of 20       Jun has 7 bags of marbles and Sam has double this amount. How many marbles do they have altogether? {{ }} marbles.

Use the distributive law to solve this problem.  Marbles come in bags of 20         Jun has 7 bags of marbles and Sam has 12 bags of marbles. How many more marbles does Sam have than Jun? {{ }} marble

Compare the expressions using >, < or =   3 × 8 ___ 9 × 8

Use >, < or = to make this correct.   5 x 3 ___ 3 x 5 - 1 x 5

Look at the equation. What is the common factor in each expression?  8 × 3 = 5 × 3 + 3 × 3

Look at the equation. What is the common factor in each expression?  3 × 4 + 1 × 4 = 4 × 4   The common factor is {{ }}.

Match each equation to the correct solution.

Sam’s book has 150 pages. She reads 11 pages each day for 8 days. How many more pages does she have left to read? {{ }} pages.

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

Lesson outcome