Download CURRICULUM SUMMARY * September to October 2008

CURRICULUM SUMMARY – September to December 2016
SUBJECT: Mathematical Studies
YEAR GROUP: IB2
TEACHER: Agata Piskorz
Week Date
Learning objectives
Activities (in brief)
1
FINANCIAL MATHEMATICS
Students will understand and use:
 currency conversion
Reading currency – conversion tables.
Using different ‘buy’ and ‘sale’ rates.
Perform currency transactions involving commission.
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Using the Graphical Display Calculator (TVM Solver ) to find the future
value of the investment; the present value; interest rate or number of
compounding periods.
Revision – solving problems at class and at home.
Writing a test.
Discussing results of the test.
2
3
5-9 Sep
12 -16
Sep
19-23
Sep
compound interest – different compounding periods
depreciation
DESCRIPTIVE STATISTICS – revision
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discrete and continuous data, frequency tables and
histograms for grouped data; mean, median mode from
different type of data.
quartiles, interquartile range; boxplots; outliers.
cumulative frequency graphs. Percentiles.
variance and standard deviation.
Revision – solving problems at class and at home.
IA- Submit focus of the Project (not necessarily the title
yet) with a general outline/plan supported by some
sources e.g. websites, textbooks (at least one A4 page) –
deadline September 19
26-30
Sep
LINEAR MODELS
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gradient of a line from its equation;
gradient of a line from its graph. Gradient formula;
equation of a straight line through two given points;
5
3-7 Oct
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scatter plot; correlation; Pearson’s correlation coefficient;
line of best fit; the least square regression line;
interpolation and extrapolation.
6
10-14
SETS AND PROBABILITY – revision
4
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Calculating gradient of a line.
Finding equation of a line.
Using the gradient of a line in practical situations.
Applications of linear models.
Describing correlation.
Using of the equation for prediction purposes.
Mathematical and contextual interpretation of the regression line.
Revision – solving problems at class and at home.
Writing a test.
Discussing results of the test.
Solving numerical problems on two or three sets.
Oct
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7
17-21
Oct
Venn diagrams to illustrate set operations; regions on a
Venn diagram; the universal set; complement of a set;
set operations with three sets;
theoretical probability of an event; compound events;
independent events;
conditional probability
PROBABILTY DISTRIBUTIONS
Students will understand and use:
 discrete random variables and their probability
distributions;
 expected value (mean), E(X ) for discrete data;
 applications of expectation, for example, games of chance.
Shading regions in Venn diagrams – two or three sets.
Solving real word problems – numbers in regions of Venn diagrams.
Using tables of outcomes, grids, tree diagrams to represent a
sample space and calculate probability.
Calculating conditional probability with Venn diagrams and tree
diagrams.
Students’ homework.
Revision – solving problems at class and at home.
Writing a test.
Discussing results of the test.
Using tables of probability distributions
Using the formula: E( X )  xP( X  x)

IA -Submit organized data (frequency tables, graphs ,
diagrams) with a short analysis - deadline October 17
8
9
24-28
Oct
31 Oct –
4 Nov
7 -11
Nov
10
14 – 18
Nov
11
21 – 25
Nov
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the normal curve; significance of the standard deviation.
normal distribution.
Using normal distribution to calculate probabilities in practical
situations.
Use of calculator to find normal probabilities; the reverse process.
Revision – solving problems at class and at home.
Writing a test.
Discussing results of the test.
Mid-Term Break
STATISTICAL TESTS - the  2 test of independence
Students will understand and use:
 independent variables;
 the null hypothesis;
 degrees of freedom, critical value;
 formal test for independence
NUMBERS
Students will understand and use:
 the exponential expression: a b , b  Q; rules of indices;
Analyzing contingency tables, finding the expected contingency table,
finding the number of degrees of freedom. calculating  2 , reading the
critical value,
performing the formal test for independence.;
revision – solving problems at class and at home;
writing a test;
discussing results of the test;
Revising rules of indices and scientific notation.
Using GDC (Graphic Display Calculator) for conversion between scientific
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12
28 Nov –
2 Dec
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the index notation (scientific notation): a  10n , where
1  a  10 and a Z; very large and very small numbers in
scientific, economic and other applications; awareness and
use of scientific mode on the GDC;
operations with numbers expressed in the form: a  10n ,
where 1  a  10 and a Z;
decimals; decimal places; approximations; rounding off to a
given number of decimal places or significant figures;
the absolute errors; percentage errors;
System International (SI); other basic units of
measurements;
conversion between different units.
the relationship between the set of natural numbers; the
set of integers; the set of rational numbers and the set of
real numbers; sets of prime numbers, multiples and
factors;
and standard notation.
Rounding and estimating numbers.
Calculating errors.
Estimating and accuracy –homework investigation.
Converting between different units .
Revision – solving problems at class and at home.
Writing a test.
Discussing results of the test.
IA Submit the first draft, printed or in electronic format
for teacher’s comments - deadline November 28
13
5 Dec –
9 Dec
14
12 Dec –
16 Dec
GEOMETRY AND TRIGONOMETRY - revision
Students will understand and use:
 trigonometric ratios in a right angled triangle;
 the area of a triangle;
 relationship between trigonometric ratios of the same
angle.
 the sine rule;
 the cosine rule;
Applications of trigonometric ratios - solving different types of
geometrical and practical problems.
Calculating areas of triangles – using different formulae.
Using the Pythagorean identity and other relationships between
trigonometric ratios.
Solving problems with triangles that do not contain a right angle applications of sine and the cosine rules.
Solving practical problems in navigation, surveying, engineering and
geography that involve solving a triangle.
Solving problems in 3D space
Revision – solving problems at class and at home.
Writing a test.
Discussing results of the test.