4700 - Achieve success at school with expert teaching

Ph: (08) 9314 9500 Email Enquiry

Mathematics Methods Year 11 ATAR Course Textbook

Mathematics Methods Year 11 ATAR Course Textbook
Enlarge Image

Written by O. T. Lee

This book addresses the syllabus requirements of Units 1 and 2 of the Mathematics Methods course of Western Australia.

The use of CAS/graphic calculators is seamlessly integrated into the teaching and learning process.  Questions have become more explicit in terms of the required methods and techniques.  Knowledge of CAS/graphic calculator techniques empower students to appreciate the relative efficiencies (and accuracies) of machine based techniques against traditional pencil and paper techniques.  However, the traditional pencil and paper techniques are the ones that convey the actual mathematical concepts and processes and form the backbone of  this book.  Machine based techniques are at best interpretative techniques.

The use of Hands-on-Tasks is continued in this book.  These tasks allow students to conceptualise mathematical concepts on their own without being explicitly “taught”.  This promotes relational understanding rather than factual knowledge of mathematical concepts and ideas.

A fully worked out Solution Manual is available as a resource for teachers.

 

Dr O.T. Lee

Mathematics Department

North Lake Senior Campus

Contents

  1      Lines

      1.1       Independent & Dependent Variables
      1.2    Equation of Lines
       1.2.1   Gradient-Intercept form:  y = mx + c  
       1.2.2   General form:  ax + by = c  
       1.2.3   Gradient of a Line
       1.2.4   Equation of a line passing through a fixed point with a given gradient
      1.3    Parallel and Perpendicular Lines
   1.4    Mid-Points and Distances
    1.5    Linear Relationships
       1.5.1   Direct Proportion
       1.5.2   Applications involving linear relationships

  2    Quadratics
    2.1    Quadratics
    2.1.1    Quadratic Relationships
       2.1.2    Features of quadratic curves
2.2    Completion of Squares
2.3    Solving Quadratic Equations
   2.3.1    Algebraic techniques for solving quadratic equations
      2.3.2    Existence of solutions
       2.3.3    Working with quadratic inequalities
2.4    Applications Using Quadratic Models

  3    Cubics
       3.1    Cubics
       3.2    Features of Cubics (cubic curves)
       3.2.1    Cubics with one root
       3.2.2    Cubics with two roots
       3.2.3    Cubics with three roots
3.3    Solving cubic equations

  4    Rectangular Hyperbolas
    4.1    Inverse Proportion
4.2    Rectangular Hyperbolas (hyperbolae)

  5    Functions & Relations
    5.1    Definition of a Relation
       5.2    Definition of a Function
       5.3    Polynomials
       5.4    Domain and Range
5.4.1    Square Root Functions
       5.4.2    Exponential Functions
       
5.5    Graphs of some relations
5.5.1    Circles
5.5.2    The relation y2 = kx
5.6    Transformations on functions
5.7    Compound Transformations

  6    Right Triangle Trigonometry
6.1    Trigonometric Ratios
       6.1.2   Exact Ratios

07    Trigonometric Ratios of non-acute angles
    7.1    Review of Trigonometric Ratios of acute angles
7.2    The Four Quadrants
       7.3    Reference Angles
    7.4    Circular Functions
    7.5    Trigonometric ratios of non-acute angles    
       7.5.1    Negative angles
   7.6    Using Radians
    7.7    Inverse Trigonometric Functions
        7.7.1    Principal Values

  8    Non-Right Triangle Trigonometry
   8.1    The Sine Rule
   8.2    Cosine Rule
   8.3      Area of a non-right triangle

  9    Arc, Sectors and Segments
9.1    Arcs, Sectors and Segments

10    Trigonometric Equations
10.1    Basic Trigonometric Equations
       10.2    Gradient of a Line
        10.3    Use of CAS Calculators
            10.3.1    Extension:  General Solutions
            10.3.2    Using the “Conditional Solve” CAS command
       10.4    Basic Trigonometric Ratios within polynomials

11    Trigonometric Graphs
   11.1    Graphs of basic trigonometric functions
       11.2    Graphs of Trigonometric functions of the form y = a f (x + c) + d  

12    Trigonometric Identities
   12.1    Compound Angle Formulae


13    Sets
 13.1    Set Notation

14    Combinations
 14.1    The Combinatorial Notation
14.2    Combinations or Selections
       14.2.1    The Multiplication and Addition Rule
       14.3    Binomial Expansions

15    Probability
       15.1    Sample Spaces
       15.2    Theoretical (A Priori) Probability
   15.3    Empirical (A Posteriori) Probability
       15.4    Combining Events & Conditional Probability I
   15.5    Conditional Probability II
       15.6    Rules of Probability

16    Indices
       16.1    Review of the Laws of Indices
   16.2    Review of Negative Indices
   16.3    Review of Fractional Indices
   16.4    Review:  Factorisation
16.5    Review:  Scientific Notation

17    Exponential Functions
   17.1    Exponential Functions
   17.2    Exponential Expressions and Equations

18    Sequences & Series
18.1    Recursive Rules
       18.2    Arithmetic Sequences
       18.2.1   Sum of an arithmetic sequence
18.3    Geometric Sequences
       18.3.1   Types of Geometric Sequences
   18.3.2   Geometric Sum
      18.3.3   Sum to Infinity
   18.4    Applications

19    Differentiation
     19.1    Tangents and Chords
     19.2    Gradient of a Curve at a Point
       19.2.1   Analytical Method for determining Gradient of a Curve at a Point
   19.2.2   The Gradient Function
     19.3    Differentiation of Polynomials

20    Gradient Function
20.1    Equation of tangent to a Curve
   20.2    Graphs of Gradient Functions and Stationary Points
   20.3    Stationary Points
   20.4    Curve Sketching

21    Rates of Change
       21.1    Instantaneous Rate of Change
21.1.1    The Leibniz Notation
   21.2    Optimisation
       21.2.1    Global Points and Turning Points
       21.3    More Optimisation

22    Anti-Differentiation
 22.1    Anti-Differentiation of Polynomials
22.1.1    Rules for Anti-Differentiation
 22.2    Gradient Function and Integration

23    Rectilinear Motion0
 23.1    Rectilinear Motion and Differentiation
23.2        Rectilinear Motion and Integration
23.3        Acceleration

Answers

Index


©  O. T.  Lee


Price: $75.00 AUD inc GST
Quantity   You can always remove it later.
Back to List | Tell a Friend

Other great products from our Range

Economics Year 11 ATAR Course Study Guide
Economics Year 11 ATAR Course Study Guide
$49.00 AUD
Solutions Manual Mathematics Spec. Year 11 ATAR Course
Solutions Manual Mathematics Spec. Year 11 ATAR Course
$140.00 AUD
Solutions Manual Mathematics Methods Year 11 ATAR Course
Solutions Manual Mathematics Methods Year 11 ATAR Course
$140.00 AUD
Psychology Year 11 ATAR Course Study Guide
Psychology Year 11 ATAR Course Study Guide
$40.00 AUD
Mathematics Spec Year 11 ATAR Course Revision Series
Mathematics Spec Year 11 ATAR Course Revision Series
$49.00 AUD
Mathematics Methods Year 11 ATAR Course Study Guide
Mathematics Methods Year 11 ATAR Course Study Guide
$45.00 AUD
Physics Year 11 ATAR Course Study Guide
Physics Year 11 ATAR Course Study Guide
$49.00 AUD
Chemistry Year 11 ATAR Course Study Guide
Chemistry Year 11 ATAR Course Study Guide
$49.00 AUD
Accounting and Finance Year 11 ATAR Course Study Guide
Accounting and Finance Year 11 ATAR Course Study Guide
$45.00 AUD
Biology Year 11 ATAR Course Study Guide
Biology Year 11 ATAR Course Study Guide
$49.00 AUD
Mathematics Applications Year 11 ATAR Course Study Guide
Mathematics Applications Year 11 ATAR Course Study Guide
$45.00 AUD
Mathematics Methods Year 11 ATAR Course Revision Series
Mathematics Methods Year 11 ATAR Course Revision Series
$49.00 AUD
Chemistry Year 11 ATAR Course Revision Series
Chemistry Year 11 ATAR Course Revision Series
$49.00 AUD
Human Biology Year 11 ATAR Course Study Guide
Human Biology Year 11 ATAR Course Study Guide
$49.00 AUD
Mathematics Spec. Year 11 ATAR Course Textbook
Mathematics Spec. Year 11 ATAR Course Textbook
$75.00 AUD
Mathematics Applications Yr 11 ATAR Course Revision Series
Mathematics Applications Yr 11 ATAR Course Revision Series
$49.00 AUD
Physics Year 11 ATAR Course Revision Series
Physics Year 11 ATAR Course Revision Series
$49.00 AUD
 
 

Calendar of Programs Calendar of Programs

More Information

Contact Details

Academic Task Force Ph: (08) 9314 9500
Fax: (08) 9314 9555
Mail: Office: 872 Canning Highway Applecross WA See Map

Copyright © 2017 Academic Task Force All Rights Reserved  |  GTP Web Design Perth