Properties of Number

Properties of number is a key topic for Foundation GCSE maths students as it lays the groundwork for fractions, standard form, ratio and percentages.  Throughout this topic students learn the importance of place value and the order of operations.

Properties of number takes place in Term 1 of Year 9 and is followed by fractions and mixed numbers.


Properties of Number Lessons
Revision Lessons

Prerequisite Knowledge
  • read, write and interpret mathematical statements involving addition (+), subtraction (–) and equals (=) signs
  • represent and use number bonds and related subtraction facts within 20
  • add and subtract one-digit and two-digit numbers to 20, including zero
  • solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = – 9.

Success Criteria
  • Understand and use place value
  • Order positive integers
  • Apply the four operations, including formal written methods, to integers
  • Recognise and use relationships between operations
  • Use the concepts and vocabulary of prime numbers, factors (divisors) and multiples

Key Concepts
  • Students need to be very secure in their knowledge of applying the place value table to identify the value of any digit.
  • Understanding the additive and multiplicative number properties are vital building blocks for the remainder of this course. For example, 2 x 3 = 3 x 2 and 2 + 3 = 3 + 2.
  • When calculating factors of integers it is beneficial to use factor pairs rather individual values.
  • Use the place value table to demonstrate column addition and subtraction.

Common Misconceptions
  • Students often define a prime number as ‘divides by 1 and itself’. This leads to the incorrect assumption of 1 to be prime number.
  • When subtracting, students may find knowing when to ‘borrow’ confusing and instead incorrectly subtracting the smaller digit from the larger one. E.g., 43 – 25 = 22
  • Aligning the correct value digits for column addition and subtraction can prove troublesome. Encourage use of the place value table.

Leave a Reply

Your email address will not be published. Required fields are marked *

You may use these HTML tags and attributes:

<a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Mr Mathematics Blog

Getting Ready for a New School Year

When getting ready for a new school year I have a list of priorities to work through. Knowing my team have all the information and resources they need to teach their students gives me confidence we will start the term in the best possible way.  Mathematics Teaching and Learning Folder All teachers receive a folder […]

Mathematics OFSTED Inspection – The Deep Dive

Earlier this week, my school took part in a trial OFSTED inspection as part of getting ready for the new inspection framework in September 2019. This involved three Lead Inspectors visiting our school over the course of two days. The first day involved a ‘deep dive’ by each of the Lead Inspectors into Mathematics, English […]

How to Solve Quadratics by Factorising

The method of how to solve quadratics by factorising is now part of the foundational knowledge students aiming for higher exam grades are expected to have.   Here is an example of such a question. Solve x2 + 7x – 18 = 0 In my experience of teaching and marking exam papers students often struggle with […]