### 1: Number and Algebra

#### 1.1: Real numbers

1.1.1: Define rational and irrational numbers and perform operations with surds and fractional indices

#### 1.2: Patterns and algebra

1.2.1: Investigate the concept of a polynomial and apply the factor and remainder theorems to solve problems

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

1.3.1: Describe, interpret and sketch parabolas, hyperbolas, circles and exponential functions and their transformations

1.3.2: Solve simple exponential equations

1.3.4: Factorise monic and non-monic quadratic expressions and solve a wide range of quadratic equations derived from a variety of contexts

### 2: Measurement and Geometry

#### 2.1: Using units of measurement

2.1.1: Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids

#### 2.2: Geometric reasoning

2.2.1: Prove and apply angle and chord properties of circles

#### 2.3: Pythagoras and trigonometry

2.3.1: Establish the sine, cosine and area rules for any triangle and solve related problems

2.3.2: Use the unit circle to define trigonometric functions, and graph them with and without the use of digital technologies

### 3: Statistics and Probability

#### 3.2: Data representation and interpretation

3.2.1: Calculate and interpret the mean and standard deviation of data and use these to compare data sets

Correlation last revised: 9/16/2020