Year 11 ATAR Course Textbook - Mathematics Methods

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Year 11 ATAR Course Textbook - Mathematics Methods is a comprehensive textbook for the year 11 Mathematics Methods Units 1 & 2 course.

Availability: Out of Stock Usually Dispatched In: 3 - 7 Business Days ISBN: 9781740981743 Publisher: Academic Task Force Categories: ATARAssessment PreparationMathematicsTest PrepPreparation & Study Guides
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Year 11 ATAR Course Textbook - Mathematics Methods is a comprehensive textbook for the year 11 Mathematics Methods Units 1 & 2 course.

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
  • 7 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

Also Available

Year 11 ATAR Course Study Guide - Mathematics Methods

The purpose of this text is to assist Year 11 students with their preparation for tests and examinations in the Mathematical Methods course for Western Australia.
View Year 11 ATAR Course Study Guide - Mathematics Methods


Year 11 ATAR Course Revision Series - Mathematics Methods

Year 11 ATAR Course Revision Series - Mathematics Methods provides a comprehensive set of revision/review questions for the year 11 Mathematics Methods Units 1 & 2 course.
View Year 11 ATAR Course Revision Series - Mathematics Methods

ISBN 9781740981743
Publisher Academic Task Force
Product Type Student Books,
Year Level Year 11,
Author(s) Dr O. T. Lee

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