Properties of Number

Scheme of work: Foundation GCSE: Year 9: Term 1: Properties of Number

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 9 = x + 7.

Key Concepts

  • 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

Working Mathematically

  • 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 than individual values.
  • Use the place value table to demonstrate column addition and subtraction.

Subject Content

  • Students often define a prime number as ‘divides by 1 and itself. This leads to the incorrect assumption of 1 being a prime number.
  • When subtracting, students may find knowing when to borrow confusing and instead incorrectly subtract 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 the use of the place value table.

Properties of Number Resources

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