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.
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
- 5.5: Geometry in 3D (area,
surface area, volume), 3D
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
- 7.3: Gradients of curves for given values
of x, equation of the tangent.
- 7.4: Increasing and decreasing functions,
- 7.5: Solution of f’(x) = 0; local maximum
12 and minimum points.
TOPIC 6: STATISTICS 1 (6 INTERNAL ASSESSMENT (PROJECT – 5
- 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,
- 6.7: Scatter diagrams, line of best
fit, correlation, Pearson’s
- 6.8: Regression line; predictions.
REVISION TOPICS 1 – 6, 8 for MOCKS (2
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.
ASSESSMENTS GRADE 11
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%
ASSESSMENTS GRADE 12
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%
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.
- 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.
- 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
advised to show their working.
- 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.
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.
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.
- This part of IB will be developed by using the book: Mathematical Studies – Course Companion. Bedding, Coad, Forrest, Fussey and Waldman.
- 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.
Mathematical Studies Subject Guide
Teacher Support Material (for IA) - TSM
- 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)
- OCC (Online Curriculum Centre) - www.oup.co.uk/isbn/0-19-914979-8
- IB Maths at IBO website - www.bbotw.com
- Nigel Buckle worksheets (firstname.lastname@example.org) - 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