Year 11 Mathematics Extension 1 Assessment Task 2

Mathematics Extension 1 Assessment Task Notification

• The task is an investigation-style assignment worth 30% of the total grade, divided into 15% for understanding, fluency, and communication, and 15% for problem-solving, reasoning, and justification.
• The task consists of an assignment and an in-class test, and students are required to submit a printed copy to their teacher on the due date.

Task Outcomes

• ME11-1: Uses algebraic and graphical concepts to model and solve problems involving functions and their inverses.
• ME11-2: Manipulates algebraic expressions and graphical functions to solve problems.
• ME11-3: Applies concepts and techniques of inverse trigonometric functions and simplifying expressions involving compound angles to solve problems.
• ME11-6: Uses appropriate technology to investigate, organize, and interpret information to solve problems in a range of contexts.
• ME11-7: Communicates making comprehensive use of mathematical language, notation, diagrams, and graphs.

Task Content

• Inverse and Parametric Functions (Chapter 6 and 7: 6.07, 6.08, 6.09, 7.10).
• Further Trigonometric Identities and Inverse Trigonometric Functions (Chapter 11).

Marking Criteria

• Section 1: 20 multiple-choice questions with working (20 marks).
• Section 2: Analysis of one multiple-choice question, including identifying and explaining errors that led to distractors, and explaining the key mathematical concept of the question (5 marks).
• Section 3: Submission of an original multiple-choice question on a different topic, including justification with working (5 marks).
• Section 4: Written summary of one of the two topics, demonstrating an extensive understanding of all concepts in the topic, including well-chosen examples (5 marks).
• Section 5: In-class test on short answer questions (20 marks).

Mathematics Extension 1 Assessment Task Notification

• The task is an investigation-style assignment worth 30% of the total grade, divided into 15% for understanding, fluency, and communication, and 15% for problem-solving, reasoning, and justification.
• The task consists of an assignment and an in-class test, and students are required to submit a printed copy to their teacher on the due date.

Task Outcomes

• ME11-1: Uses algebraic and graphical concepts to model and solve problems involving functions and their inverses.
• ME11-2: Manipulates algebraic expressions and graphical functions to solve problems.
• ME11-3: Applies concepts and techniques of inverse trigonometric functions and simplifying expressions involving compound angles to solve problems.
• ME11-6: Uses appropriate technology to investigate, organize, and interpret information to solve problems in a range of contexts.
• ME11-7: Communicates making comprehensive use of mathematical language, notation, diagrams, and graphs.

Task Content

• Inverse and Parametric Functions (Chapter 6 and 7: 6.07, 6.08, 6.09, 7.10).
• Further Trigonometric Identities and Inverse Trigonometric Functions (Chapter 11).

Marking Criteria

• Section 1: 20 multiple-choice questions with working (20 marks).
• Section 2: Analysis of one multiple-choice question, including identifying and explaining errors that led to distractors, and explaining the key mathematical concept of the question (5 marks).
• Section 3: Submission of an original multiple-choice question on a different topic, including justification with working (5 marks).
• Section 4: Written summary of one of the two topics, demonstrating an extensive understanding of all concepts in the topic, including well-chosen examples (5 marks).
• Section 5: In-class test on short answer questions (20 marks).