## Outline of Year 9 Mathematics

### Algebra

This course Year 9 Mathematics of student work shows the application of the index laws to numbers and expresses numbers in scientific notation. Year 9 Mathematics Students apply the index laws to numbers and express numbers in scientific notation and normal numerals. They expand binomial expressions.

### Coordinate Geometry

The students finds the distance between two points on the Cartesian plane, the gradient and midpoint of a line segment and sketches linear relationships. They find the distance between two points on the Cartesian plane and the gradient and midpoint of a line segment. They sketch linear and non-linear relations.

### Trigonometry

Year 9 Mathematics students recognise the connection between similarity and trigonometric ratios and uses Pythagoras’ Theorem and trigonometry to find unknown sides in right-angled triangles. They use Pythagoras’ Theorem and trigonometry to find unknown sides of right-angled triangles.

### Measurement

The students uses measurement, ratio and scalar factor to calculate unknown lengths in similar triangles. The students calculates the area of shapes and the volumes and surface areas of right prisms and cylinders. They interpret ratio and scale factors in similar figures. Students explain similarity if triangles. They recognise the connections between similarity and the trigonometric ratios. Students calculate areas of shapes and the volume and surface area of right prisms and cylinders.

### Data

The student interprets and represents data in back-to-back stem-and-leaf plots and frequency histograms. The students calculates relative frequencies to estimate probabilities, lists outcomes for two-step experiments and assigns probabilities for those outcomes. Students compare techniques for collecting data in primary and secondary sources. They make sense of the position of the mean and median in skewed, symmetric and bi-modal displays to describe and interpret data. Students calculate frequencies to estimate probabilities, list outcomes for two-step experiments and assign probabilities for those students. They construct histograms and abck-to-back stem-and-leaf plots.

### Consumer Arithmetic

By the end of year 9, students solve problems involving simple interest.

– Australian Curriculum