This product includes a copy of Pearson General Mathematics Queensland 12 Student Book with access to the eBook and 1 copy of the Exam Preparation Workbook.
- It is created for the new senior maths QCAA syllabus to save you time and help you teach with confidence.
- Every question and worked example is graded according to QCE levels of difficulty, simple familiar, complex familiar, and complex unfamiliar
- Sample exams, question banks, technology activities, and fully worked solutions
- Digital activities to engage and support conceptual understanding
- Instructions for smart use of technology
- A focus on common errors for increased awareness
- Curriculum grids and aligned teaching programs in the teacher resource.
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Contents:
- UNIT THREE
- 1 Derivatives of exponential functions
- 1.1 Euler’s number and index laws
- 1.2 Graphing exponential functions
- 1.3 Differentiating exponential functions
- 1.4 Applications of exponential functions
- 1.5 Further differentiation
- Chapter summary
- Chapter review
- 2 Trigonometric functions and derivatives
- Recall
- 2.1 Radians and the unit circle
- 2.2 Solving trigonometric equations
- 2.3 Graphs of trigonometric functions
- 2.4 Derivatives of trigonometric functions
- 2.5 Applications of trigonometric functions
- Chapter summary
- Chapter review
- 3 Logarithmic functions and their derivatives
- Recall
- 3.1 Logarithmic functions and their properties
- 3.2 Logarithmic equations
- 3.3 Logarithmic bases and exponential equations
- 3.4 Graphs of logarithmic functions
- 3.5 Logarithmic scales
- 3.6 The derivative of the natural logarithm
- 3.7 Applications of logarithms
- Chapter summary
- Chapter review
- Mixed Review
- Chapters 1 – 3
- 4 Anti-differentiation
- Recall
- 4.1 Introduction to anti-differentiation
- 4.2 Anti-differentiation of power functions
- 4.3 Anti-differentiation of binomial power functions
- 4.4 Anti-differentiation of exponential functions
- 4.5 Anti-differentiation of sine and cosine functions
- 4.6 Anti-derivatives of reciprocal functions
- 4.7 Further anti-differentiation
- Chapter summary
- Chapter review
- 5 Definite integrals
- Recall
- 5.1 Estimating area beneath curves
- 5.2 Finding definite integrals
- 5.3 Calculating area beneath curves
- 5.4 Finding area between curves
- 5.5 Kinematics applications of integration
- Chapter summary
- Chapter review
- Unit 3 Exam Review
- Chapters 1 – 5
- UNIT FOUR
- 6 Further applications of differentiation
- Recall
- 6.1 The derivative and curve sketching
- 6.2 Motion and derivatives
- 6.3 The second derivative and curve sketching
- 6.4 Maximum and minimum problems
- Chapter summary
- Chapter review
- 7 Sine and Cosine rules
- Recall
- 7.1 Trigonometry review
- 7.2 The sine rule and the cosine rule
- 7.3 Areas of triangles
- 7.4 Bearings
- Chapter summary
- Chapter review
- 8 Binomial distributions
- Recall
- 8.1 Discrete probability distributions review
- 8.2 Bernoulli trials and binomial distributions
- 8.3 Statistics of binomial probability distributions
- Chapter summary
- Chapter review
- Mixed Review
- Chapters 1 – 8
- 9 Continuous random variables and the normal distribution
- Recall
- 9.1 Continuous random variables
- 9.2 The normal distribution
- 9.3 Standard normal distributions
- 9.4 Inverse of standard normal
- Chapter summary
- Chapter review
- 10 Interval estimates for proportions
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