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CambridgeMATH stage 6, Mathematics extension 1, Year 11, Penden B., Sadler D., Ward D., Dorofaeff B., Shea J., 2019


CambridgeMATH 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.

CambridgeMATH stage 6, Mathematics extension 1, Year 11, Penden B., Sadler D., Ward D., Dorofaeff B., Shea J., 2019


Arithmetic with pronumerals.
A pronumeral is a symbol that stands for a number. The pronumeral may stand for a known number or for an unknown number, or it may be a variable and stand for any one of a whole set of possible numbers. Pronumerals, being numbers, can take part in all the operations that are possible with numbers, such as addition, subtraction, multiplication, and division (except by zero).

Like and unlike terms.
An algebraic expression consists of pronumerals, numbers and the operations of arithmetic. Here is an example:
x2 + 2x + 3x2 − 4x − 3 = 4x2 − 2x − 3.

This particular algebraic expression can be simplified by combining like terms.
• The two like terms x2 and 3x2 can be combined to give 4x2.
• Another pair of like terms 2x and −4x can be combined to give −2x.
• This yields three unlike terms, 4x2, −2x and −3, which cannot be combined.

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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