An integer is any positive or negative whole number or zero. E.g. -2, 0, 153 are all examples of integers.

Checking and securing understanding of negative numbers in context

Maths

Checking understanding of arithmetic procedures with integers and decimals

Securing understanding of arithmetic procedures with integers and decimals

Addition of positive and negative integers

Subtraction of positive and negative integers

Checking and securing understanding of written addition and subtraction strategies

Checking and securing understanding of multiplication and division

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

Starting with the lowest temperature, put these temperatures in order from coldest to warmest.

The temperature in Quebec is -12$$^\circ $$C. It is 5$$^\circ$$C warmer in Manchester. What is the temperature in Manchester?

Andeep has a balance of £2.50 at the school canteen. He buys a sandwich for £1.95, some grapes for 85p and some fruit juice for £1.05. What is Andeep's new balance?

A submarine is 250 metres below sea level. The submarine rises 120 metres and then dives down 330 metres. The submarine is now {{ }} metres below sea level.

Numbers which are greater than zero are called __________ numbers.

Alex thinks of a number. It is 4 away from 10.  Select the numbers which Alex could be thinking of.

Laura borrows £27 from her mum. She pays her mum back £15. How much does Laura still owe her mum? £{{ }}

15 is halfway between two numbers. What could the two numbers be?

Complete the statement. {{ }} is halfway between 8 and 18.

Checking and securing understanding of negative numbers in context

Lesson outcome