CambridgeMATHS, Stage 6, Mathematics Extension 1, Year 11, Penden B., Sadler D., Ward D., Dorofaeff B., Shea J., 2019

CambridgeMATHS, Stage 6, Mathematics Extension 1, Year 11, Penden B., Sadler D., Ward D., Dorofaeff B., Shea J., 2019.

CambridgeMATHS Extension 1 Year 11 covers all syllabus dotpoints for Year 11 of the Mathematics Advanced and Extension 1 courses being implemented in 2019. This rationale serves as a guide to how the book covers the dotpoints of the syllabus. Further documents are available in the teacher resources.

CambridgeMATHS, Stage 6, Mathematics Extension 1, Year 11, Penden B., Sadler D., Ward D., Dorofaeff B., Shea J., 2019


Sections 5F-5G.
Develop the theory of inverse relations in terms of swapping the coordinates of all the ordered pairs, so that the theory applies also to relations such as circles and is easily related to reflection in у = х, which is yet another transformation of the graph. Using the horizontal line test and the distinction between one-to-one and many-to-one functions, inverse function notation is introduced, and a very brief account is given of how to restrict the domain of a many-to-one function so that the restriction has an inverse.

Contents.
Rationale.
Overview.
Acknowledgements.
About the authors.
1.Methods in algebra.
2.Numbers and surds.
3.Functions and graphs.
4.Transformations and symmetry.
5.Further graphs.
6.Trigonometry.
7.The coordinate plane.
8.Exponential and logarithmic functions.
9.Differentiation.
10.Polynomials.
11.Extending calculus.
12.Probability.
13.Discrete probability distributions.
14.Combinatorics.
15.The binomial expansion and Pascal’s triangle.
16.Further rates.
17.Further trigonometry.
Answers.



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2020-08-14 10:22:44