# Mathematics B

## Prerequisites

Successful completion of Year 9 Mathematics or Year 9 Numeracy.

## Course Description

**Mathematics** **B **follows on from both Numeracy and Mainstream Year 9 Mathematics. This course prepares students for VCE Further Mathematics or IB Maths Studies. Students who have achieved an average below C over the course of Year 9 Mathematics are encouraged to select this course. In the first four weeks of Year 10, both the Mathematics A and B courses cover a review of the fundamentals of Year 9 which will provide students with an opportunity to change course, based on their results in the Fundamentals assessment. After this, the Mathematics B course focusses on preparing students for IB Maths Studies and VCE Further Mathematics. The course assessments are entirely technology active. Students who complete this subject will not be allowed to select IB Mathematics – Standard Level or VCE Mathematical Methods in Year 11.

The course provides a curriculum that gives relevance and meaning to the learning of mathematical concepts and core concepts of the Victorian Curriculum. Problem-solving and modelling are developed progressively throughout the course. CAS technology is integrated into the course as an instructional aid and as a computational tool. Notebook computers are used to aid in the understanding of mathematical concepts and skills and to facilitate problem-solving and modelling tasks.

Students build on skills from previous years in the areas of Number and Algebra, Geometry and Measurement, Probability and Statistics.

## Essential Questions

- What is the relationship between the angles in polygons and circles?
- How are linear equations used in problem-solving?
- What does the gradient of a straight line represent?
- How is our number system structured?
- Where do quadratic relationships occur, where do you see parabolic functions?
- What are the chances of events occurring?
- When is it important to know the exact perimeter, area and volume of objects and how can we do this?

## Areas of Study

**Number and Algebra**

- Revision of fractions, decimals, percentage and ratios.
- Indices and surds.
- Matrices.
- Algebraic simplification, expansion, linear and quadratic equations and interpreting formulae.
- Manipulating and solving exponential, logarithmic and quadratic equations.

**Measurement and Geometry**

- Spatial relations, geometric objects and mensuration (length, area and volume).
- Pythagoras's Theorem.
- Circle geometry theorems, arc length and angle properties of polygons.
- The two-dimensional representation of linear and quadratic graphs on a Cartesian plane.
- The solution of triangles using trigonometric ratios in two and three dimensions and other applications.

**Probability and Statistics**

- Interpreting results obtained from experimental and theoretical probabilities.
- Use of tree diagrams, Venn diagrams and two way tables.
- Collecting, presenting and analysing data.

## Assessment

Task |
Description |

Topic Tests |
One test on each topic studied. |

Homework |
Regular homework is set and assessed. |

Semester Examination |
Technology active examination. |