### 1: Number and Algebra

#### 1.1: Number and place value

1.1.1: Use index notation with numbers to establish the index laws with positive integral indices and the zero index

#### 1.2: Real numbers

1.2.3: Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies

1.2.4: Solve a range of problems involving rates and ratios, with and without digital technologies

#### 1.3: Money and financial mathematics

1.3.1: Solve problems involving profit and loss, with and without digital technologies

#### 1.4: Patterns and algebra

1.4.1: Extend and apply the distributive law to the expansion of algebraic expressions

1.4.2: Factorise algebraic expressions by identifying numerical factors

1.4.3: Simplify algebraic expressions involving the four operations

#### 1.5: Linear and non-linear relationships

1.5.1: Plot linear relationships on the Cartesian plane with and without the use of digital technologies

### 2: Measurement and Geometry

#### 2.1: Using units of measurement

2.1.1: Choose appropriate units of measurement for area and volume and convert from one unit to another

2.1.3: Investigate the relationship between features of circles such as circumference, area, radius and diameter. Use formulas to solve problems involving circumference and area

2.1.4: Develop the formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving volume

#### 2.2: Geometric reasoning

2.2.1: Define congruence of plane shapes using transformations

2.2.2: Develop the conditions for congruence of triangles

2.2.3: Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning

### 3: Statistics and Probability

#### 3.1: Chance

3.1.1: Identify complementary events and use the sum of probabilities to solve problems

3.1.2: Describe events using language of 'at least', exclusive 'or' (A or B but not both), inclusive 'or' (A or B or both) and 'and'.

3.1.3: Represent such events in two-way tables and Venn diagrams and solve related problems

#### 3.2: Data representation and interpretation

3.2.3: Investigate the effect of individual data values, including outliers, on the mean and median ACARA

Correlation last revised: 9/16/2020

* Copyright 2010 National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

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