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Cambridge 3 Unit Mathematics Year 12 Enhanced Version : Print Textbook + Interactive Textbook + PDF Textbook - William Pender

Cambridge 3 Unit Mathematics Year 12 Enhanced Version

Print Textbook + Interactive Textbook + PDF Textbook


Published: 25th July 2012
For Ages: 16 - 17 years old
Ships: 3 to 4 business days
3 to 4 business days
RRP $65.95

Cambridge Mathematics 3 Unit Year 12 Enhanced Version includes the print textbook plus access to the Interactive Textbook and the PDF Textbook to provide flexible and innovative digital resourcing options for class and home use.

* The Interactive Textbook is an HTML version of the student text, designed to enhance teaching and learning in a digital environment.

It includes:

  • pop-up answers
  • links from within the Interactive Textbook to objective-response (multiple-choice) quizzes
  • links from within the Interactive Textbook to the Cambridge Technology in Maths (TiM) website, which provides additional technology activities.

    *Usually available for purchase separately, for a limited time the Interactive Textbook is included at no extra cost with Cambridge Mathematics 3 Unit Year 12 Enhanced Version.

  • Chapter 1. The Inverse Trigonometric Functions
    1A Restricting the Domain
    1B Defining the Inverse Trigonometric Functions
    1C Graphs Involving Inverse Trigonometric Functions
    1D Differentiation
    1E Integration
    1F General Solutions of Trigonometric Equations

    Chapter 2. Further Trigonometry
    2A Trigonometric Identities
    2B The t-Formulae
    2C Applications of Trigonometric Identities
    2D Trigonometric Equations
    2E The Sumof Sine and Cosine Functions
    2F Extension—Products to Sums and Sums to Products
    2G Three-Dimensional Trigonometry
    2H Further Three-Dimensional Trigonometry

    Chapter 3. Motion
    3A Average Velocity and Speed
    3B Velocity and Acceleration as Derivatives
    3C Integrating with Respect to Time
    3D Simple Harmonic Motion—The Time Equations
    3E Motion Using Functions of Displacement
    3F Simple Harmonic Motion — The Differential Equation
    3G Projectile Motion — The Time Equations
    3H Projectile Motion—The Equation of Path

    Chapter 4. Polynomial Functions
    4A The Language of Polynomials .
    4B Graphs of Polynomial Functions .
    4C Division of Polynomials
    4D The Remainder and Factor Theorems
    4E Consequences of the Factor Theorem
    4F The Zeroes and the Coefficients
    4G Geometry using Polynomial Techniques

    Chapter 5. The Binomial Theorem
    5A The Pascal Triangle
    5B FurtherWork with the Pascal Triangle
    5C Factorial Notation
    5D The Binomial Theorem
    5E Greatest Coefficient and Greatest Term
    5F Identities on the Binomial Coefficients

    Chapter 6. Further Calculus
    6A Differentiation of the Six Trigonometric Functions
    6B Integration Using the Six Trigonometric Functions
    6C Integration by Substitution
    6D Further Integration by Substitution
    6E Approximate Solutions and Newton’s Method
    6F Inequalities and Limits Revisited

    Chapter 7. Rates and Finance
    7A Applications of APs and GPs
    7B Simple and Compound Interest
    7C Investing Money by Regular Instalments
    7D Paying Off a Loan
    7E Rates of Change — Differentiating
    7F Rates of Change—Integrating
    7G Natural Growth and Decay
    7H Modified Natural Growth and Decay

    Chapter 8. Euclidean Geometry
    8A Points, Lines, Parallels and Angles
    8B Angles in Triangles and Polygons
    8C Congruence and Special Triangles
    8D Trapezia and Parallelograms
    8E Rhombuses, Rectangles and Squares
    8F Areas of Plane Figures
    8G Pythagoras’ Theorem and its Converse
    8H Similarity
    8I Intercepts on Tranversals

    Chapter 9. Circle Geometry
    9A Circles, Chords and Arcs
    9B Angles at the Centre and Circumference
    9C Angles on the Same and Opposite Arcs
    9D Concyclic Points
    9E Tangents and Radii
    9F The Alternate Segment Theorem
    9G Similarity and Circles

    Chapter 10. Probability and Counting
    10A Probability and Sample Spaces
    10B Probability and Venn Diagrams
    10C Multi-Stage Experiments
    10D Probability Tree Diagrams
    10E Counting Ordered Selections
    10F Counting with Identical Elements, and Cases
    10G Counting Unordered Selections
    10H Using Counting in Probability
    10I Arrangements in a Circle
    10J Binomial Probability

    Answers to Exercises

    ISBN: 9781107616042
    ISBN-10: 1107616042
    Series: Cambridge Secondary Maths (Australia) S.
    Audience: Primary / High School
    For Ages: 16 - 17 years old
    For Grades: 12
    Format: Paperback
    Language: English
    Number Of Pages: 432
    Published: 25th July 2012
    Publisher: Cambridge University Press
    Country of Publication: GB
    Dimensions (cm): 28.0 x 21.0  x 2.0
    Weight (kg): 1.29
    Edition Number: 2
    Edition Type: Revised