2.3.10 estimate numerically the value of a derivative for simple power functions 2.3.11 examine examples of variable rates of change of non-linear functions 2.3.12 establish the formula (𝑥𝑛) = 𝑛𝑥𝑛−1 for positive integers 𝑛 by expanding (𝑥+ℎ)𝑛 or by factorising (𝑥+ℎ)𝑛 − 𝑥𝑛 Properties of derivatives: 2.3.13 understand the concept of the derivative as a function Test 7 - (W29) 2.3.14 recognise and use linearity properties of the derivative Applications of Differentiation (5%) 2.3.15 calculate derivatives of polynomials Week Revision Week 30 Term 4, 2016 Anti-derivatives: Sadler Chapter 7 Investigation 4 - Curve 2.3.22 calculate anti-derivatives of polynomial functions (7A-C) Sketching without the aid of technology Sadler Chapter 8 Week (8A-B) Validation 4 (5%, W33) 31-34 Miscellaneous Test 4 - Chapters 5-8 (2.5%, W34) Week Exam Revision 35 Week Semester 2 Semester Two Examination 36 Examination 25% Week Transition 37-39
2.3.10 estimate numerically the value of a derivative for simple power functions 2.3.11 examine examples of variable rates of change of non-linear functions 2.3.12 establish the formula (𝑥𝑛) = 𝑛𝑥𝑛−1 for positive integers 𝑛 by expanding (𝑥+ℎ)𝑛 or by factorising (𝑥+ℎ)𝑛 − 𝑥𝑛 Properties of derivatives: 2.3.13 understand the concept of the derivative as a function 2.3.14 recognise and use linearity properties of the derivative 2.3.15 calculate derivatives of polynomials Test 7 - (W29) Applications of Differentiation (5%) Week 30 Revision Week Term 4, 2016 Week 31-34 Anti-derivatives: 2.3.22 calculate anti-derivatives of polynomial functions Sadler Chapter 7 (7A-C) Sadler Chapter 8 (8A-B) Investigation 4 - Curve Sketching without the aid of technology Validation 4 (5%, W33) Miscellaneous Test 4 - Chapters 5-8 (2.5%, W34) Week 35 Exam Revision Week 36 Semester Two Examination Semester 2 Examination 25% Week 37-39 Transition