# 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 â€˜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

### Mr Mathematics Blog

#### Planes of Symmetry in 3D Shapes

Planes of Symmetry in 3D Shapes for Key Stage 3/GCSE students.

Use isometric paper for hands-on learning and enhanced understanding.

#### GCSE Trigonometry Skills & SOH CAH TOA Techniques

Master GCSE Math: Get key SOH-CAH-TOA tips, solve triangles accurately, and tackle area tasks. Ideal for students targeting grades 4-5.

#### Regions in the Complex Plane

Explore Regions in the Complex Plane with A-Level Further Maths: inequalities, Argand diagrams, and geometric interpretations.