Factors are whole numbers which exactly divide another whole number.

The commutative law states that you can write the values of a calculation in a different order without changing the calculation; the result is the same. It applies for addition and multiplication.

The associative law states that it doesn't matter how you group or pair values (i.e. which we calculate first), the result is still the same. It applies for addition and multiplication.

Explain how to use the factor pairs of 100 to solve calculations efficiently

Maths

Explain how to identify common factors between two or more numbers

Explain how to identify a common multiple of two or more numbers

Use knowledge of properties of number to solve problems

Use properties of numbers and the commutative and associative laws to simplify calculations

 In this unit pupils will explain how to identify a multiple or common multiple to solve problems in a range of contexts. In the future unit pupils will explain why the product stays the same when one factor is doubled and the other is halved and use knowledge of equivalence when scaling factors to solve problems.

In the prior unit pupils understood and used the concept of factorisation, explaining what a factor is and how to use arrays and multiplication/division facts to find them. They identified prime numbers, square numbers and composite numbers. In this unit pupils will explain how to identify common factors and multiples and use this with knowledge commutative and associative laws to solve problems.

In this unit pupils will explain how to identify common factors and multiples and use this knowledge of properties of number along with knowledge of the commutative and associative laws to solve problems in a range of contexts.

Use common factors and multiples to solve calculations efficiently

Write down the missing factor in this factor bug.

What is the temperature shown on the thermometer?

Match the equation to the factors pairs that would be best used to help solve the calculations.

Tick the three factor expression that could be represented by this equation.     64 × 25 = ___

something that multiplies with another number.

the first number in a division equation. can be used in addition.

Write down the missing factor from this factor bug.

Which parts of a division equation can represent factors?

Apply the associative law to complete this calculation.    36 × 2 × 5 = {{ }}

Tick the calculation that could be represented as 5 × 2 × 31

Explain how to use the factor pairs of 100 to solve calculations efficiently

Lesson outcome