# Maths Studies Outline SY1011

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```					                                                                 MATH STUDIES

SYLLABUS

CAL1                                             CAL2                                               CAL3
TOPIC 2: NUMBER (2 WEEKS)                TOPIC 4: FUNCTIONS (8 WEEKS)                           TOPIC 3: SETS, LOGIC AND
- 2.1: Sets of Numbers                   - 4.1: Concept, mapping, mapping diagrams,             PROBABILITY (8 WEEKS)
- 2.2: Approximation, significant            domain and range.                                    - 3.1: Basic concepts
figures, percentage of error,          - 4.2: Linear functions                                  - 3.2: Venn diagram: application (2-3)
estimation.                            - 4.3: Graph and elements of a quadratic function        - 3.3: Sample space
- 2.3: Standard form: conversions and    - PAES: Pascal Triangle, powers of binomials.            - 3.4: Basic concepts of symbolic logic
operations.                            - 4.4: Exponential expressions, graphs and               - 3.5: Compound statements. Translation
- 2.4: SI, and other basic units of          properties of exponential functions                    between verbal, symbolic and Venn
measurements.                              (transformations); growth and decay, basic             diagrams.
concepts of asymptotic behaviour.                    - 3.6. Truth tables.
- PAES: Exponential equations.                           - 3.7: Definition of implication, logical
- 4.5: Graphs and properties of sine and cosine            equivalence.
functions; amplitude and period.                     - 3.8: Equally likely events, probability.
- PAES: Inverse functions and co-functions.              - 3.9: Venn diagrams, tree diagrams.
- 4.6: Accurate graph drawing                            - 3.10: Laws of probability: combined
- 4.7: Use of GDC to sketch and analyse                    events, mutually exclusive events,
functions.                                             independent events, conditional
- 4.8: Use of GDC to solve simple of unfamiliar            probability.
11                                               equations.
TOPIC 5: GEOMETRY AND                    TOPIC 2: ALGEBRA (4 WEEKS)                             TOPIC 8: FINANCIAL MATHEMATICS
TRIGONOMETRY (6 WEEKS)                   - 2.7: Solution of simultaneous equations by GDC       (3 WEEKS)
- 5.1: Points, lines, midpoints            (IB – 2 and PAES – 3 variables), and quadratic          - 8.1: Currency conversions.
(coordinate); distance between          equations by factorizing and GDC. (PAES –               - 8.2: Simple interest
two points.                             finding the discriminat)                                - 8.3: Compound interest, depreciation
- 5.2: Equations of a line in slope-     - 2.5: Arithmetic sequences: series, applications         - 8.4: Construction and use of tables: loan
int. form and standard form.            and the sum of the first n terms.                         and repayment schemes; investment and
Gradients, intercepts. Parallel and   - PAES: properties of logarithms, logarithmic               saving schemes; inflation.
perpendicular lines.                    equations.
- 5.3: Right-angled trigonometry,        - 2.6: Geometric sequences: series, applications and
sine, cosine and tangent ratios.        the sum of the first n terms.
- 5.4: Sine rule, cosine rule, area of
a triangle.
- 5.5: Geometry in 3D (area,
surface area, volume), 3D
trigonometry.
CAL1                                                   CAL2                                             CAL3
REVISION TOPICS 1 – 5, 8 (2               TOPIC 6: STATISTICS 2 (2 WEEKS)                      TOPIC 7: INTRODUCTORY
WEEKS)                                      - 6.9: X2 test for independence; null and          DIFFERENTIAL CALCULUS (6 WEEKS)
alternative hypotheses, significance levels,       - 7.1: Limits, gradient of a line, tangent to
contingency tables, expected frequencies,            a curve.
degrees of freedom, critical values, p-values.     - 7.2: Basic rule of derivation, derivative of
polynomial functions
- 7.3: Gradients of curves for given values
of x, equation of the tangent.
- 7.4: Increasing and decreasing functions,
graphical interpretation.
- 7.5: Solution of f’(x) = 0; local maximum
12                                                                                                        and minimum points.
TOPIC 6: STATISTICS 1 (6                  INTERNAL ASSESSMENT (PROJECT – 5
WEEKS)                                    WEEKS)
- 6.1: Classification of data             - Activity choose the project (1h)
- 6.2: Simple discrete data               - Presentation and explanation of Criteria (1h)    GENERAL REVISION FOR TEST (6
- 6.3: Grouped discrete data,             - Introduction (2h)                                WEEKS)
frequency histograms, stem and          - Information and Measurement (2h)
leaf diagrams                           - Mathematical Processes (7h): must include
- 6.4: Cumulative frequency tables,         introduction, mathematical process, and
box and whisker plot, percentiles,        interpretation for each.
quartiles                               - Interpretation of Results (3h)
- 6.5: Measures of central tendency       - Validity (2h): must comment on mathematics,
for simple and grouped discrete           data, improvement, and extension.
data, and for grouped continuous        - Structure and communication (during)
data.                                   - Commitment (during)
- 6.6: Measures of dispersion:
range, interquartile range,
standard deviation.
- 6.7: Scatter diagrams, line of best
fit, correlation, Pearson’s
correlation coefficient.
- 6.8: Regression line; predictions.
REVISION TOPICS 1 – 6, 8 for MOCKS (2
WEEKS)

NOTE: Introduction to the GDC is addressed as the need arises. Students begin working with a GDC in IGCSE, so they are familiar with them by the time they
are in IB.

Cal 1             Cal 2            Cal 3
Test 1                  40%               40%              40%
Quiz 1                  20%               20%              20%
Quiz 2                  20%               20%              20%
TOK                     10%               10%              10%
HW / Class A.           10%               10%              10%

Cal 1             Cal 3                                                 Cal 2
Test 1                  40%               40%                                Test 1             30%
Quiz 1                  20%               20%                             Criterion A           10%
Quiz 2                  20%               20%                             Criterion B            5%
TOK                     10%               10%                             Criterion C           15%
HW / Class A.           10%               10%                            Criterion D/E          10%
Project             30%

EXTERNAL ASSESSMENT

   It’s worth 80% of the final grade.
   It consists on Paper 1 and Paper 2 which last 3 hours
   For both examination papers, students must have access to a GDC at all times.
   Students must have access to a clean copy of the information booklet during the examination.
   Marks may be awarded for method, accuracy, answers and reasoning, including interpretation.
   Penalties should be applied once, per each mistake (FP, UP, ft)
   A copy of Assessment Details must be revised with students before taking external assessment.
   PAPER 1:
- This paper consists of 15 compulsory short-response questions.
- Full marks are awarded for each correct answer irrespective of the presence or absence of working.
- Students must write on the PAPER 1 sheets.
- Knowledge of all topics is required for this paper, although not all topics are necessarily assessed.
- This paper is worth 90 marks, representing 40% of the final mark.
- Each question is worth 6 marks.
   PAPER 2:
- This paper consists of 5 compulsory extended-response questions.
- Full marks are not necessarily awarded for a correct answer with no working. Answers must be supported by working and/or explanations. Where
an answer is incorrect, some marks may be given for correct method, provided this is shown by written working. All students should therefore be
- Students must write on a separate sheet of paper.
- Knowledge of all topics is required for this paper.
- Individual questions may require knowledge of more than one topic.
- This paper is worth 90 marks, representing 40% of the final mark.

GDC

   A GDC with the following minimum functionalities is required on all papers:
- draw graphs with any viewing window
- solve equations numerically
- add and multiply and find inverse matrices
- find a numerical derivative at a point
- find a numerical definite integral

   The list of approved Flash applications is:
- Ctlg Help: Catalog Help
- PolySmlt: Polynomial Root Finder and Simultaneous Equation Solver

   Calculator with wireless/infrared communications are not allowed in any subject examinations.
   Examination questions must not be stored or recorded into the memory of a calculator.
   Peripheral hardware must not be taken into the examination room.
   Calculators must not be shared or exchanged during examinations.
   Manuals must not be taken into the examination room.
   More than one approved calculator per candidate may be brought into the examination room.

INTERNAL ASSESSMENT

   The project is internally assessed by the teacher and externally moderated by the IBO.
   In mathematical studies 20 of the 150 hours of teaching should be allocated to work connected with the project.
   Deadlines, preferably reached by agreement between students and teachers, need to be firmly established.
   The project should not normally exceed 2,000 words, excluding diagrams, graphs, appendices and bibliography.
   Group work should not be used for projects.
   Each project should be based on different data collected or measurements generated.
   Front Page must include: Title of the project, name of the student, and candidate’s #.
   Mini Projects should be done in the first year of teaching to encourage students to collect, analyse, and interpret data.

TOK

   TOK:
- This part of IB will be developed by using the book: Mathematical Studies – Course Companion. Bedding, Coad, Forrest, Fussey and Waldman.
Oxford IBO.
- This book contains several comments, questions and articles related to TOK.
- Each TOK part included in this book will be given to students depending on the topic they’re learning.
- Activities will be done through the course of the two years which are related to a variety of topics connected to the Maths Studies Syllabus.

RESOURCES

   Mathematical Studies Subject Guide
   Information Booklet
   Teacher Support Material (for IA) - TSM
   Calculator TSM
   IB CD’s
   Books:
- Mathematical Studies, Haese and Harris
- Mathematical Studies, IBID Press
- Mathematical Studies, Course Companion, Oxford Press
- Mathematical Ideas, Addison Wesley (good for sets, logic and probability)
- A to Z Math, Sanderson Smith (for projects)

   Miscellaneous
- OCC (Online Curriculum Centre)                                                       -   www.oup.co.uk/isbn/0-19-914979-8
- IB Maths at IBO website                                                              -   www.bbotw.com
- Nigel Buckle worksheets (nbworksheets@yahoo.com)                                     -   http://mathematicspublishing.com
- Claudia Zaslawsky                                                                    -   www.osc-ib.com
- Daniel Boorstien                                                                     -   http://math.exeter.edu/rparris/default.html
- www.haeseandharris.com.su                                                            -   www.graphcalc.com
- www.ibid.con.su                                                                      -   www.webstatsoftware.com
-   www.marquis-soft.com/graphpapeng.htm   -   www.ibmaths.com
-   www.dessci.com                         -   www.kahome.co.uk
-   www.handygraph.com                     -   www.mis-munich.de/resources/maths/pkurbis/index.html
-   www.mathematicshelpcentral.com

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 views: 12 posted: 12/4/2011 language: English pages: 6