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IB Mathematics: Analysis and Approaches SL Course Companion (Print and Enhanced Online Course Book Pack) (New 2019)


Publisher: Oxford University Press ISBN-13: 9780198427100

Author: Paul La Rondie, Jill Stevens, Natasha Awada, Jennifer Chang Wathall

Dimension: 7.8 x 1.2 x 10.1 inches

Format: Paperback

Isbn 10: 0198427107

Language: English

Release date: 04/15/2019

Year: 2019


Featuring a wealth of digital content, this concept-based Print and Enhanced Online Course Book Pack has been developed in cooperation with the IB to provide the most comprehensive support for the new DP Mathematics: analysis and approaches SL syllabus, for first teaching in September 2019. 


  • Address all aspects of the new DP Mathematics: analysis and approaches SL syllabus via an Enhanced Online Course Book Pack - made up of one full-colour, print textbook and one online textbook, including extensive teacher notes
  • Ensure learners are ready to tackle each topic with targeted 'Prior Knowledge' worksheets, linked to 'Before You Start' summaries and exercises at the start of every chapter
  • Deliver in-depth coverage of all topics through clear explanations and worked solutions, animated worked examples, differentiated exercises and worksheets, with answers provided
  • Adopt a concept-based approach with conceptual lenses and microconcepts woven into every chapter, plus rich investigations that integrate factual and conceptual questions - leading to meaningful, content-specific conceptual understanding
  • Deepen mathematical understanding via inquiry-based tasks that relate to the content of each chapter, 'international mindedness' features, regular links to Theory of Knowledge, and activities that target ATL skills
  • Support students' development of a mathematical toolkit, as required by the new syllabus, with modelling and investigation activities presented in each chapter, including prompts for reflection, and suggestions for further study
  • Thoroughly prepare students for IB assessment via in-depth coverage of course content, overviews of all requirements, exam-style practice questions and papers, and a full chapter supporting the new mathematical exploration (IA)
  • Includes support for the most popular Graphic Display Calculator models
  • This Online Course Book will be available on Oxford Education Bookshelf until 2029. Access is facilitated via a unique code, which is sent in the mail. The code must be linked to an email address, creating a user account.
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    From patterns to generalizations: sequences and series
    1.1: Number patterns and sigma notation
    1.2: Arithmetic and geometric sequences
    1.3: Arithmetic and geometric series
    1.4: Modelling using arithmetic and geometric series
    1.5: The binomial theorem
    1.6: Proofs
    Representing relationships: introducing functions
    2.1: What is a function?
    2.2: Functional notation
    2.3: Drawing graphs of functions
    2.4: The domain and range of a function
    2.5: Composition of functions
    2.6: Inverse functions
    Modelling relationships: linear and quadratic functions
    3.1: Parameters of a linear function
    3.2: Linear functions
    3.3: Transformations of functions
    3.4: Graphing quadratic functions
    3.5: Solving quadratic equations by factorization and completing the square
    3.6: The quadratic formula and the discriminant
    3.7: Applications of quadratics
    Equivalent representations: rational functions
    4.1: The reciprocal function
    4.2: Transforming the reciprocal function
    4.3: Rational functions of the form ax+b/cx+d
    Measuring change: differentiation
    5.1: Limits and convergence
    5.2: The derivative function
    5.3: Differentiation rules
    5.4: Graphical interpretation of first and second derivatives
    5.5: Application of differential calculus: optimization and kinematics
    Representing data: statistics for univariate data
    6.1: Sampling
    6.2: Presentation of data
    6.3: Measures of central tendency
    6.4: Measures of dispersion
    Modelling relationships between two data sets: statistics for bivariate data
    7.1: Scatter diagrams

    7.2: Measuring correlation
    7.3: The line of best fit
    7.4: Least squares regression
    Quantifying randomness: probability
    8.1: Theoretical and experimental probability
    8.2: Representing probabilities: Venn diagrams and sample spaces
    8.3: Independent and dependent events and conditional probability
    8.4: Probability tree diagrams
    Representing equivalent quantities: exponentials and logarithms
    9.1: Exponents
    9.2: Logarithms
    9.3: Derivatives of exponential functions and the natural logarithmic function
    From approximation to generalization: integration
    10.1: Antiderivatives and the indefinite integral
    10.2: More on indefinite integrals
    10.3: Area and definite integrals
    10.4: Fundamental theorem of calculus
    10.5: Area between two curves
    Relationships in space: geometry and trigonometry in 2D and 3D
    11.1: The geometry of 3D shapes
    11.1: Right-angles triangle trigonometry
    11.3: The sine rule
    11.4: The cosine rule
    11.5: Applications of right and non-right angled trigonometry
    Periodic relationships: trigonometric functions
    12.1: Radian measure, arcs, sectors and segments
    12.2: Trigonometric ratios in the unit circle
    12.3: Trigonometric identities and equations
    12.4: Trigonometric functions
    Modelling change: more calculus
    13.1: Derivatives with sine and cosine
    13.2: Applications of derivatives
    13,3: Integration with sine, cosine and substitution
    13.4: Kinematics and accumulating change
    Valid comparisons and informed decisions: probability distributions
    14.1: Random variables
    14.2: The binomial distribution
    14.3: The normal distribution

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