**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**

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**Key Concept(s)**

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**Related Concept(s)**

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**Topic 1: 2D Geometry**

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.

Constructing triangles – Be able to use compasses to construct a triangle using SSS, SAS and ASA. Identify if a triangle can be construct or not.

**Topic 2: Fractions**

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**

To be updated

**Key Concept(s)**

To be updated

**Related Concept(s)**

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**Topic 1: Ratio and Proportion**

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.

**Topic 2: The Cartesian Plane**

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.

Transforming 2-D figures – Translation, rotation and reflection of an object on a cartesian plane. Enlargement by a positive scale factor.

**Statement of Inquiry**

To be updated

**Key Concept(s)**

To be updated

**Related Concept(s)**

To be updated