Course

QCE Year 12 Maths B

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15 Lessons

Statement on QCE Year 12 Maths B

The Senior Syllabus in QCE Year 12 Maths B is a recommended precursor to tertiary studies in subjects with high demand in mathematics, especially in the areas of science, medicine, mining and engineering, information technology, mathematics, finance, and business and economics.

Global Aims of QCE Year 12 Maths B

The global aims are statements of the long-term achievements, attitudes and values that are developed by students through studying Mathematics B but which are not directly assessed by the school.
By the end of this course, students should develop:

  • broad mathematical knowledge and skills
  • the ability to recognise when problems are suitable for mathematical analysis and solution, and be able to attempt such analysis and solve problems with confidence
  • an awareness of the uncertain nature of their world and be able to use mathematics to help make informed decisions in life-related situations
  • an understanding of the diverse applications of mathematics
  • an ability to comprehend mathematical information which is presented in a variety of forms
  • an ability to communicate mathematical information in a variety of forms
  • an ability to use mathematical procedures to justify conclusions
  • an ability to benefit from the availability of a wide range of technologies
  • an ability to choose and use mathematical instruments appropriately
  • positive attitudes to the learning and practice of mathematics.

Course Organisation of QCE Year 12 Maths B

The subject matter has been organised into seven topics. All topics must be studied. The order in which topics are presented does not imply a teaching sequence. The topics are:

  • Introduction to functions
  • Rates of change
  • Periodic functions and applications
  • Exponential and logarithmic functions and applications
  • Optimisation
  • Introduction to integration
  • Applied statistical analysis.

Throughout the course, certain fundamental knowledge and procedures are required. Time should be provided to revise the fundamental knowledge and procedures within topics as they are required. This maintenance takes time, and should be allowed for in designing the course sequence.

referred from
Mathematics B Senior Syllabus 2008 (amended 2014)
Queensland Studies Authority 2014

qce year 12 maths b

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Course Materials

Functions (Free)

Quadratic Graphs

Cubic Graphs

Quartic Graphs

Differentiation

Applications of Differentiation

Exponential and Logarithmic Functions

Derivatives of Exponential and Logarithmic Functions

Periodic Functions

Calculus of Periodic Functions

Introductory Integration

Integration Techniques

Probability Distributions

Binomial Distribution

Hypothesis Testing