Mathematics Extension 1
KLA: MATHEMATICS
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Course Description:
Course Description:
Mathematics Extension 1 is focused on enabling students to develop a thorough understanding of and competence in further aspects of mathematics. The course provides opportunities to develop rigorous mathematical arguments and proofs, and to use mathematical models more extensively. Students of Mathematics Extension 1 will be able to develop an appreciation of the interconnected nature of mathematics, its beauty and its functionality.
Mathematics Extension 1 provides a basis for progression to further study in mathematics or related disciplines in which mathematics has a vital role at a tertiary level. An understanding and exploration of Mathematics Extension 1 is also advantageous for further studies in such areas as science, engineering, finance and economics.
HSC Extension 1- Category A - 1 Unit
HSC Extension 1- Category A - 1 Unit
[Board Developed Course]
[Board Developed Course]
This course must be studied in conjunction with HSC Advanced Mathematics. This gives students 3 units of Mathematics at the HSC level.
This course must be studied in conjunction with HSC Advanced Mathematics. This gives students 3 units of Mathematics at the HSC level.
Main Topics Covered
Main Topics Covered
The topics that are studied in the HSC Extension 1 course are:
Proof
Proof by Mathematical Induction
Vectors
Introduction to Vectors
Introduction to Vectors
Further operations with vectors
Projectile motion
Trigonometric Functions
Trigonometric Functions
Calculus
Further Calculus Skills
Applications of Calculus
Further area and volumes of solids of revolution
Differential equations
Statistical Analysis
The Binomial Distribution
Bernoulli and binomial distributions
Normal approximation for the sample proportion
The textbook that is used at Marian Catholic College is the Pearson Publication: New Senior Mathematics Extension Years 11 & 12.
Assessment: HSC Extension 1 Course Only
Assessment: HSC Extension 1 Course Only
Students in the HSC Extension 1 course are assessed through the use of:
Formal assessment tasks, as outlined in the assessment booklet
Informal assessment tasks: homework, classwork and discussion, topic tests, quizzes…
Formal Assessment
The following formal assessment is completed by students in the Extension 1 Mathematics course. This allows students to demonstrate their competence in the outcomes that are being assessed by the task.
Task 1
In-class Assessment (Test) (25%)
Task 2
Investigation/Assignment (20%)
Task 3
In-class Assessment (Test) (25%)
Task 4
Trial Exam (30%)
Informal Assessment
Informal assessment occurs regularly in the classroom through the use of discussions, exercises, quizzes, homework tasks and smaller topic tests.
Students can use this assessment to help track their progression during the learning phase, so that they are able to monitor and address any weaknesses that they may have. This means that students are able to make changes to improve their results and learning.
Teachers use this assessment to plan learning activities and monitor student understanding and engagement. This allows for teachers to build a more comprehensive picture of the student as a learner in the Mathematics course.
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