**Topic 1: Making Generalisations about Number System 1**

Place value** – **Understand place value for integers and decimals. Exchange between place value columns. Experience different representations of place value.

Axioms and arrays – Understand the commutative and associative properties of multiplication. Understand the distributive property through a range of abstract and pictorial representations. Be able to represent and use the distributive property of multiplication over addition and subtraction.

Factors and multiples – Factors, primes and multiples. Square and cube numbers, roots. Representing the structure of number. Establishing the order of operations.

Order of operations – Establishing the order of operations.

**Topic 2: Making Generalisations about Number System 2**

Positive and negative numbers – Negative numbers in context, absolute value. Using negative numbers with all four operations, additive inverses.

Expressions, equations and inequalities – Writing and simplifying expressions. Recognising equivalent expressions. Forming equations. Forming inequalities.

**Statement of Inquiry**

Using form to express quantity helps to understand the importance of markets, commodities and commercialisation.

**Key Concept(s)**

Form

**Related Concept(s)**

Quantity

**Global Context(s)**

Globalisation and sustainability

**Topic 1**

Factors and multiples – Factors, primes and multiples- Square and cube numbers, roots- Representing the structure of number- Establishing the order of operations. Positive and negative numbers – Negative numbers in context, absolute value – Using negative numbers with all four operations, additive inverses. Expressions, equations and inequalities- Writing and simplifying expressions – Recognising equivalent expressions – Forming equations.

**Statement of Inquiry**

Using relationships to express systems enhances understanding of sharing resources with other people.

**Key Concept(s)**

Relationships

**Related Concept(s)**

Systems

**Global Context(s)**

Fairness and Development

**Topic 1**

Angles – Measuring and drawing angles – Angles on a straight line and around a point – Angles in parallel lines – Creating equations from angle facts. Classifying 2D shapes – Classifying polygons according to their properties – Rotational and line symmetry – Internal angle sum of triangles and quadrilaterals.

**Statement of Inquiry**

Connections relating to space may reveal information about the natural world and its laws.

**Key Concept(s)**

Connections

**Related Concept(s)**

Space

**Global Context(s)**

Scientific and technical innovations

**Topic 1**

Primes, factors and multiples – Prime factor decomposition – LCM and HCF – Square roots and cube roots. Fractions – Equivalent fractions – Converting between fractions and decimals – Recurring decimals – Multiply and divide fractions – Fractions of amounts – Mixed numbers and improper fractions – Addition and subtraction of fractions.

**Statement of Inquiry**

Using logic can define equivalence throughout mathematical puzzles and discoveries.

**Key Concept(s)**

Logic

**Related Concept(s)**

Equivalence

**Global Context(s)**

Scientific and technical innovation. Mathematical puzzles and discoveries.

**Topic 1**

Ratio – Ratio notation – Understand the relationship between ratio and fractions – Working with ratios and quantities. Percentages – Equivalence to fractions and decimal fractions – Percentage of an amount – Percentage increase and decrease – Finding the original amount – Using percentages, fractions and decimals in different contexts including probability.

**Statement of Inquiry**

Relationships can be explored through Representations of personal efficacy and lifestyle choices.

**Key Concept(s)**

Relationships

**Related Concept(s)**

Representation

**Global Context(s)**

Identities and relationships. Personal efficacy and lifestyle choices.

**Topic 1**

Coordinates – Plotting points in all four quadrants – Horizontal and vertical lines – Midpoints of line segments – Problem solving on a coordinate grid. Area of 2D Shapes – Area of triangles and quadrilaterals – Formulae and solving equations.

**Statement of Inquiry**

Relationships can be explored through Representations of personal efficacy and lifestyle choices.

**Key Concept(s)**

Form

**Related Concept(s)**

Space

**Global Context(s)**

Fairness and development. Imagining a hopeful future.