Zespół Szkół Ogólnokształcących Uniwersytetu Kazimierza

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Zespół Szkół Ogólnokształcących
Uniwersytetu Kazimierza Wielkiego
INTERNATIONAL SCHOOL OF BYDGOSZCZ
Vertical Units of Work
Subject: MATHEMATICS
Teacher: KATARZYNA MARTENS
Approx.
Unit Title /
Level
dates
Main Topic
MYP 1 (Grade 6)
MYP
Unit Question
Areas of Interaction
Significant concept
Forms of Assessment
September,
October
Natural numbers
calculations
Why numbers are so
important?
ATL-operations with Natural
numbers
HI- Roman, Hindu-Arabic
number systems
Numbers are everywhere
Test(A),(C)
Real life problem(A), (C)
Practical work(A)
November,
December
Fractions,
Decimals
What part of modern
world is suffering from
hunger?
ATL-operations with
fractions and decimals
We should learn how to
share with others
Test(A),(C)
Oral presentation(A),(C)
Practical work(A)
Why we should use
letters in mathematics?
ATL-operations with
numbers and letters
Any character of alphabet
may represent any number in
mathematical issue
Test(A),(C)
Poster(C)
Practical work(A)
Percentages cannot be
avoided in daily life
Test(A),(C)
Real life problem(A),(C)
Practical work(A)
Poster(C)
January,
February
Elements of
algebra
CAS- paying taxes (shown as
fractions in maths problems)
which are contribution to the
local community
E-using Internet in
Arithmetic calculations
March
Percentages
What is percentage of
water in human body?
HSE-balanced diet
1
MYP 2 (Grade 7)
April, May
Polygons
Where we can observe
polygons in our
environment?
E- using Internet in
Arithmetic calculations;
planning landscaping
Geometry inspires
Test(A),(C)
Real life problem(A),(C)
Practical work(A)
June
3D-shapes – Right Right prisms behind
Prisms
my window…Can I
spot them?
E- developing practical
projects such as:
designing/making models of
real or imagined buildings
HI-pictograms as a form of
nonverbal communication,
history of calculating
machines; universality of
maths language
We live in three dimensional
reality
Test(A),(C)
Real life problem(A), (C)
Practical work(A)
September
Positive Rational
Numbers-number
calculations
Do numbers help in
verbal
communication?
Numbers as the form of
communication
Test(A),(C)
Poster(C)
Investigation(B), (C), (D)
October,
November
Types and
Constructions of
2D-shapes
How to calculate the
area and perimeter of
the playground near to
the school?
HI- developing maths ideas
such as symmetry in
geometry; investigating links
between geometry and
shapes and motifs of
different cultures
Understanding geometric
relations is one of the
methods of understanding
world construction
Test(A),(C)
Essay(A)
Practical work(A)
December,
January
3D-shapes
(solids) –
properties
What are greatest
geometrical projects
which are known to
us?
E-developing practical
projects, town planning,
making models of
real/imagined buildings
Geometrical projects might
respond the needs of local
environments
Test(A)(C)
Practical work(A)
Essay(A)
Investigation (B),(C),(D)
February
Percentages.
Sharing in given
Ratio
Is it possible to
estimate the
percentage of fat in
daily diet?
ATL-calculating percentages,
sharing in given ratio,
proportional values
Percentages are in service of
healthy living
Test(A),(C)
Practical work(A)
Essay(A)
HSE-balanced diet
2
MYP 3 (Grade 8)
MYP 2
March, April
Introduction to
Algebra
What is the algebraic
savoir-vivre?
ATL-transformations of
algebraic expressions
Algebra as the way of
codifying information
Test(A), (C)
Practical work(A)
Exhibition (A), (C),(D)
HI- universality of maths
language; creating mortgage
plans- using algebraic
equations
May, June
Coordinates,
Graphs
How to find out the
position of an object
on the diagram?
CAS-analysing articles
related to social issues and
drawing graphs; using tests
to measure fitness of
different groups of a
community- analysing results
Social issues might be shown
using graphs
Test(A),(C)
Poster(C)
September
Real Numbers
Why use calculators?
HSE- calculating number of
eaten calories
Calculating machines in
service of humans
October
Percentages and
their usage
How do we calculate
percentages?
HI- compound interestpercentages in taking
mortgage credits;
universality of maths
language
Information related to daily
life might be coded in
percentage diagrams
Test(A), (C)
Poster(C)
Investigation(B),(C), (D)
Test(A),(C)
Poster(C)
Investigation(B),(C),(D)
November,
December
Elements of
Algebra
How to keep balance
in equation?
CAS- using equations in
problems related to public
transport and travel; using
proportion to show relation
between fitness of different
groups of a community
We should know how to
keep the balance to live
healthy life
Test(A),(C)
Poster(C)
3
MYP 3
January,
February
Plane geometry
What are the
properties of 2Dshapes?
E- using Internet in
Arithmetic calculations;
planning landscaping; using
modelling to predict or
interpret natural patterns
such as rising sea levels due
to global warming; drawing
graphs in exchange
calculations
Humans use geometry to
plan and influence
environments
Test(A),(C)
Poster(C)
Opened-ended
questions(A),(C),(D)
March, April
Axial symmetry
What characterizes
symmetrical objects?
HI- universality of maths
language; creating
tessellations
Everything what’s beautiful
is symmetrical
Test(A),(C)
May, June
Collection and
organization of
data
What is statistical
student like?
ATL- developing statistical
data, calculating probability
Statistic can inform as well
as mislead
Test(A),(C)
Opened-ended
HSE- using observation, a
data analysis and statistics to
promote a road safety
campaign around the school
4
MYP 4 (Grade 9)
September
Rational
Numbers-number
calculations
Which calculations are
possible in set of Real
numbers?
CAS- raising money for
poor, estimating expenses
Numbers must be used in
health and social education
Test(A),(C)
Opened-ended
October
Algebraic
expressions
How to solve
equations and
inequalities?
CAS- using equations in
transport and travel; using
proportion to show relation
between fitness of different
groups of a community
Balanced life has its
advantages and
disadvantages
Test(A),(C)
Poster(C)
Opened-ended
November,
December
Simultaneous
equations
Can we find two
unknowns parallelly?
ATL- solving simultaneous
equations, properties of
functions
Equation or set of equations
may describe and help to find
solution of the issue
January,
February
Elements of the
Plane geometry
In which maths
problems is good to
use trigonometric
ratios?
E- using geometry and
trigonometry in town
planning, landscaping etc.
Understanding geometry
leads to better planning and
development of the space
March, April
3D-shapes
(solids)
How to calculate
surface area and
volume of 3D-shapes?
HSE- providing facilities
such as elevators, handrails;
calculating volume- water
consumption/saving
Urban world is ingenious in
terms of architecture
Test(A),(C)
Poster(C)
Opened-ended
Test(A),(C)
Poster(C)
Opened-ended
Test(A),(C)
Poster(C)
Investigation (B),(C),(D)
Opened-ended
Essay(A),(C),(D)
5
MYP 5 (Grade 10)
May, June
Introduction to
theory of
Probability
How to transform data
into results making
sense?
CAS- analysing articles from
local newspapers related to
statistics and social issues
Statistics helps to analyze
social issues
Test(A),(C)
Poster(C)
Opened-ended
Test(A),(C)
Poster(C)
Opened-ended
September
Real numbersnumber
calculations
Should we avoid using
calculators?
HI- Roman and Arabic
number systems, compound
interestpercentages in
taking mortgage/credits;
universality of maths
language
Calculating money the
engine of the modern world
October
Elements of
Algebra
What are the ways of
solving simultaneous
equations?
HSE- usage of medicines text problems with one or
two variables;
healthy/balanced diet- using
proportions
We should learn how to
balance our diet
Test(A),(C)
Poster(C)
Opened-ended
November,
December
Functions
(rational and
irrational
functions)
What’s needed to draw
a proper graph of the
function?
E- using modelling to predict
or interpret natural patterns
such as rising sea levels due
to global warming; drawing
graphs in exchange
calculations
By the graph we may
describe natural patterns such
as rising sea levels due to
global warming
Test(A),(C)
Opened-ended
January,
February
Trigonometry
What's the reason of
using trigonometry?
HI- investigating links
between geometry and
art/architecture, or shapes
and motifs of different
cultures; universality of
mathematical language
Ancient architecture and
geometrical motifs are
inspiration for modern
creations
Test(A),(C)
Opened-ended
6
MYP 5
March, April
Thales' theorem
(intercept
theorem)
What's the application
of Thales’ theorem?
CAS- geometrical text
communication
Geometry helps to organize
our local environment
Test(A),(C)
May, June
Collection and
organization of
data, Elements of
discrete
mathematics
What are the
applications of theory
of probability?
E- investigating endangered
species; using statistics and
probability to estimate the
populations size of a given
species at a given time, to
investigate climate change
Statistics helps to describe
environments
Test(A),(C)
Poster(C)
Opened-ended
7

Zespół Szkół Ogólnokształcących Uniwersytetu Kazimierza

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