Year 11 QCE Assessment Booklet 2019

YEAR 11 SPECIALIST MATHEMATICS (QCE) SUBJECT OVERVIEW Specialist Mathematics is a course of study consisting of four units. Subject matter, learning experiences and assessment increase in complexity from Units 1 and 2 to Units 3 and 4 as students develop greater independence as learners. Specialist Mathematics is designed to be taken in conjunction with, or on completion of, Mathematical Methods. It is assumed that work covered in Mathematical Methods will be known before it is required in Specialist Mathematics. COURSE OUTLINE UNIT FOCUS 1. Combinatorics, vectors and proof In Unit 1, students will develop the mathematical understandings and skills to solve problems relating to the topics: Topic 1: Combinatorics

Topic 2: Vectors in the plane Topic 3: Introduction to proof.

These three topics considerably broaden students’ mathematical experience and enhance their awareness of the breadth and utility of the subject. They contain procedures and processes that will be required for later topics. All these topics develop students’ ability to construct mathematical arguments and enable students to increase their mathematical flexibility and versatility. In Unit 2, students will develop the mathematical understandings and skills to solve problems relating to: Topic 1: Complex numbers 1 Topic 2: Trigonometry and functions Topic 3: Matrices. These topics further develop the thinking techniques and mathematical rigour introduced in Unit 1, and provide opportunities to further nurture curiosity about the nature and utility of mathematics. In Unit 3, students will develop the mathematical understandings and skills to solve problems relating to: Topic 1: Proof by mathematical induction Topic 2: Vectors and matrices Topic 3: Complex numbers 2. These topics build on prior knowledge to enable a greater depth of analytical thinking and metacognition.

2. Complex numbers, trigonometry, functions and matrices

3. Mathematical induction, and further vectors, matrices and complex numbers

Unit 1 and 2 ASSESSMENT OVERVIEW

UNIT

TASK

ISSUE DATE

DUE DATE

1

1. Examination - internal examination that representatively samples subject matter from Unit 1 2. Examination - internal examination that representatively samples subject matter from Unit 1 3. Problem Solving and Modelling Task Up to 10 pages and 2000 words 4 weeks, including 3 hours of class time 4. Examination - internal examination that representatively samples subject matter from Unit 1 and 2.

Term 1 Week 4

Term 2 Week 3

2

Term 2 Week 5

Term 2 Week 9

Term 3 Week 6-8

3

To be assessed in Year 12

43