## Unit description of WACE Maths Methods Unit 4 Year 12 ATAR Course

The calculus in WACE Maths Methods Unit 4 Year 12 ATAR Course deals with derivatives of logarithmic functions.

In probability and statistics, continuous random variables and their applications are introduced and the normal distribution is used in a variety of contexts. The study of statistical inference in this unit is the culmination of earlier work on probability and random variables. Statistical inference is one of the most important parts of statistics, in which the goal is to estimate an unknown parameter associated with a population using a sample of data drawn from that population.

In the Mathematics Methods ATAR course, statistical inference is restricted to estimating proportions in two-outcome populations.

Access to technology to support the computational aspects of these topics is assumed.

## Learning outcomes of WACE Maths Methods Unit 4 Year 12 ATAR Course

By the end of this unit, students:

- understand the concepts and techniques in calculus, probability and statistics
- solve problems in calculus, probability and statistics
- apply reasoning skills in calculus, probability and statistics
- interpret and evaluate mathematical and statistical information and ascertain the reasonableness of solutions to problems.
- communicate their arguments and strategies when solving problems.

*referred from Mathematics Methods ATAR Course Year 12 Syllabus Western Australia School Curriculum and Standards Authority 1 January 2015*

#### Logarithmic Graphs

- Dilation from the x-axis
- Dilation from the y-axis
- Dilation from the base
- Translation
- Reflection
- Stating the Transformations of Logarithmic Graphs to base e
- Dilation of Logarithmic Graphs to base e
- Translation of Logarithmic Graphs to base e
- Reflection of Logarithmic Graphs to base e
- Finding Equations for Graphs of Logarithmic Functions