Partitioning is the act of splitting an object or value down into smaller parts.

Checking and securing understanding of multiplication and division

Maths

Checking understanding of arithmetic procedures with integers and decimals

Securing understanding of arithmetic procedures with integers and decimals

Checking and securing understanding of negative numbers in context

Addition of positive and negative integers

Subtraction of positive and negative integers

Checking and securing understanding of written addition and subtraction strategies

Multiplication and division where only one value is negative

Multiplication and division where two or more values are negative

Simplifying multiplication and division using multiples of 10

Multiplying with decimals

Dividing with decimals

Priority of operations with positive integers

Priority of operations with positive and negative integers and decimals

Using the associative, commutative and distributive laws together

Using your calculator efficiently

Problem solving with integers and decimals

Pupils use their understanding of place value and fluency with decimals from this unit in order to extend this understanding to fractions.  In the future unit, pupils will be asked to compare and order both fractions and decimals and will assess when conversion is required.

The prior unit on factors, multiples, squares and cubes helped pupils build on their understanding that any positive integer can be expressed as a product of its factors. This skill is used here to explore multiplying and dividing with decimals.

In this unit pupils develop their ability and efficacy with the four operations including more complicated and challenging calculations involving fractions, decimals and negative numbers. This leads into an exploration of the priority order of operations.

Arithmetic procedures with integers and decimals

Use an area model to work out: $$23\times18=$$ {{ }}

In the calculation $$16\div2$$ the __________ is 2.

Match each division to the correct partition.

Complete the statement. {{ }} units are based around the standard units of metre, gram and litre.

Mr Oak's bank account has a balance of £135. He spends £220. What is Mr Oak's new balance?

Jun has sunflower that is 2.12 m tall. Aisha has a sunflower that 168 cm tall. What is the total height of their sunflowers in metres? {{ }} metres

Which of these show a correct calculation to find the total of 2.2 km, 1260 m and 742 cm ?

Complete the statement. The missing value in this addition pyramid is {{ }} cm.

Checking and securing understanding of multiplication and division

Lesson outcome