Vertical Planner
Subject: Mathematics
Year level: MYP 1
Unit Title
Key Concept
Related
Concept
Global Context
Statement of Inquiry
MYP subject group
objective(s)
ATL Skills
Content
(topic, knowledge, skills
Number Systems
and number
properties
Relationships
System
Quantity
Pattern
Orientation in space and time
The position of a numbers
determines its place value
Ai, ii, iii
B:I, ii
C: I, ii, iii
Organization skills
Fractions and
decimals
Systems
Equivalence
Simplification
Change
Orientation in space and time
Every fraction has an
equivalent decimal
Ai, ii, iii
B i, ii
C i, ii, iii, iv
D I, ii, iii
Decimals and
percentage
Change
Change
Equivalence
Representation
Identities and relationships
Ai, ii, iii
B i, ii
C i, ii, iii, iv
D I, ii, iii
Measurement and
volumes
Form
Model
Representation
Measurement
Identities and relationships
Algebra and
patterns
Relationships
Pattern
Equivalence
Justification
Generalization
Identities and relationships
Statistics
Relationships
Quantity,
representation
Identities and relationships
Every percentage has an
equivalent decimal
Circles can be dividing to
parts to show the equivalence
between fractions
(Making your own fraction
wheel)
The surface area of your hand
can be mathematically
modeled by different 2Dshapes (triangles, rectangles,
circles)
Pictures create patterns which
can be represented by
algebraic formulas (by simple
linear formulas)
Matchsticks investigation
Throughout history,
mathematics has evolved to
include symbolic
representation of quantities
and functions that describe
increasingly complex
relationships in our world.
Communication
skills (how can
students
demonstrate
communication
through language?
Organizational
skills, collaboration
skills
Number systems, odd numbers, even numbers,
prime numbers
Order of operations, rounding numbers, estimation
and approximation
Representing fractions
Fractions of regular shapes
Equal, simplifying fractions
Comparing fraction sizes
Improper fractions and mixed numbers
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Service and
Action
Constructing, representing decimal numbers,
ordering, rounding decimals, converting decimals to
fractions and fractions to decimals
Percentages, converting percentages to fractions
and decimals to percentages
Plotting numbers on a line
Ai, ii, iii
B i, ii, iii
C i, ii, iii, iv
D I, ii, iii, iv, v
Communication
skills
Units of measurement, reading scales, length
conversions, perimeter, scale diagrams, area,
conversion of units, the area of different shapes,
volume
Ai, ii, iii
B i, ii, iii
C i, ii, iii, iv
D I, ii, iii, iv, v
Communication
skills
Patterns, variables and notation, algebraic form, the
value of an expression, substituting into formulae
Ai, ii, iii
B i, ii, iii
C i, ii, iii, iv
D I, ii, iii, iv, v
Collaboration skills
Data collection and representation
Categorical data, graphs on categorical data,
Numerical data
Mean or average
In-school
survey
Vertical Planner
Subject: Mathematics
Year level: MYP 2
Unit Title
Numbers & their
properties
Fractions
Angles
Decimal Numbers
Percentage
Key Concept
Related
Concept
Global Context
Statement of Inquiry
Personal and cultural
expression
The development of number
systems in different cultures in
centuries past has changed
towards the one decimal
system that we use today.
Development
Culture,
change,
quantity
Connections
Representation,
simplification,
equivalence
Orientation in time and
space
Measurement,
representation
Personal and cultural
expression
Aesthetics
Systems
Pattern,
representation,
quantity
Connections
System,
equivalence,
simplification
Mathematical vocabulary and
the development of a
mathematical language are
vital to communication of
ideas.
Tessellations can be found in
both ancient and modern
decoration, for example tiling
and wall paper designs.
MYP subject
group objective(s)
A i, ii,iii
B i, ii, iii
A i, ii, iii
B i, ii
C i, ii , iii, iv, v
A i, ii, iii
Scientific and technical
innovation
Decimals are in the world all
around us, where do we use
them?
A i, ii, iii
C i, ii, iii
Fairness and development
Governments take a
percentage of the money from
all goods sold in the form of
VAT
A i, ii,
C i, ii, iii, iv, v
D i, ii, iii
Length & Area
Aesthetics
Measurement,
representation,
Form
Orientation in time and
space
2D shapes can be used to find
the area of a country on a
map.
B i, ii, iii
C I, ii , iii, iv, v
Patterns and
Models
Communication
Patterns, Form,
Relationships
Identities and relationships
Symbols are a vital part of
everyday life and can be used
effectively to communicate a
message
A i,ii, iii
B I, ii, iii, iv, v
C iii
Volume &
Capacity
Aesthetics
Measurement,
representation,
form
Orientation in time and
space
The human body can be
modeled by 3D mathematical
shapes
C i, ii, iii, iv v
D i, ii, iii, iv, v
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ATL Skills
Organisation
collaboration
communication
reflection
Thinking
Creative thinking
Communication
Communication,
Content
(topic, knowledge, skills
Service and
Action
Types of numbers, factors & multiples, positive
and negative numbers, rounding and estimation
4 operations on whole numbers (divisibility tests),
Order of operations
Index notation, Square and cube numbers, roots of
whole numbers
Equivalent fractions, cancelling fractions to simplest
form
Adding and subtracting fractions, Multiplying and
dividing fractions
Square roots of fractions
types of angles, using a protractor,
Types of triangle, quadrilateral , polygon
Angles in a triangle, quadrilateral
Place value, Ordering decimal numbers,
Multiplying and dividing by 10, 100, 1000
Adding and subtracting, multiplying and dividing
decimals
Terminating and recurring decimals, comparing
fractions and decimals
Changing between percentage, decimal & fractions
X as a percentage of Y, Finding a percentage of a
quantity
Percentage increase and decrease, percentage
change,
Practical applications & Simple interest.
Perimeter , Units of length, units of area.
Converting units
Area of square, rectangle, triangle, parallelogram,
trapezium
Area of compound shapes,
Number sequences, nth term, Substituting into
formulae, creating formulae from words
Finding a pattern and solving a practical problem
Simplifying expressions,
Index notation in algebra,
Evaluating algebraic expressions
Volume of cube, cuboid, prism & pyramid
Converting units of volume
Units of Mass and Capacity
Raise
awareness of
maths with Pi
day activities
Unit Title
Key Concept
Related
Concept
Global Context
Statement of Inquiry
MYP subject
group objective(s)
ATL Skills
Circles & Statistics
Communities
Generalization
Justification,
representation
Fairness and
development
Statistically there are more red
sweets made than other
colours.
A i, ii, iii
C i, ii, iii, iv, v
D i,ii, iii
Reflection
Equations
Relationships
Equivalence,
representation
Systems, patterns
Scientific and technical
innovation
Two sides of an equation will
always balance and you can
use this to find an unknown
quantity.
A i, ii, iii
B iii, iv, v
C iii
Communication
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Content
(topic, knowledge, skills
Surface area of a cuboid
Parts of a circle, Pi, Circumference & area,
Cylinders
Data collection,
mean, mode, median & range,
Pie charts, line graphs, stem & leaf diagram,
correlation
Writing equations,
Solving equations with x on one side
Simplifying and solving equations
Service and
Action
Vertical Planner
Subject: Mathematics
Year level: MYP 3
Unit Title
Number
Percentage
Algebra
Indices
Solving Equations
Graphs
Area & volume
Probability
Key Concept
Development
Systems
Connections
Related Concept
Global Context
Statement of Inquiry
MYP subject group
objective(s)
Systems
Orientation in time and
space
There are different sizes of
infinity
A ii, iii
B i, ii, iii
Culture,
Change
quantity
Personal and cultural
expression
Interest rates around the
world fluctuate to try and
keep the economy stable
A i, ii, iii
B i, ii
C i, ii
Pattern,
representation,
quantity
Identities and
relationships
Wages are calculated with an
algebraic expression
A i, ii
C i, ii
D ii, iii
A i, ii,
B ii, iii, iv, v
Communication
quantity
equivalence,
simplification
Scientific and technical
innovation
The last digit of a large
number can be predicted by
looking at patterns in
multiples and powers if the
number wont fit onto your
calculator
Change
Equivalence
System
simplification
Orientation in Time
and space
Presidential speaches have
been getting dumber!
Two unknowns can be found
by creating systems of
simultaneous equations
A ii, iii
C ii, iii
D i, ii, iii
Aesthetics
Representation
system
perspective
Model
Quantity
space
Personal and cultural
identity
Mathematics is a key part of
architecture and design
A i, ii, iii
B i, ii, iii
connections
Generalization,
Justification
change
Fairness and
development
Many games are based
probability and expectation
but not all are based on
mathematical fairness.
A i, iii, iii
C ii, iii, iv, v
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Identities and
relationships
A ii, iii, iv
ATL Skills
organisation
collaboration
Organisation,
Critical thinking
Communication
transfer
Creative thinking
Transfer
Content
(topic, knowledge, skills
Service and
Action
Types of numbers; Natural numbers N, Integers Z,
Rational numbers Q,
Prime numbers, square numbers, cubed numbers,
index notation
Order of operations using Integers, fractions and
decimals
Ratio
Working with 1% (unitary method)
Finding X% of Y
Percentage increase and decrease, percentage
change
Reverse percentage
Simple and compound interest
Changing word problems to algebraic expressions,
Substitution,
simplification (collecting like terms)
distributive law, expanding brackets
working with surds (radicals)
Laws of indices
Scientific notation (standard form)
Decimal places and significant figures
Solving equations with x on both sides
Expanding brackets and solving
Algebraic fractions
Equation of a linear graph – gradient and yintercept y = mx+c
Finding the equation of a line from the graph or
given two points
Square root functions
Simultaneous equations by graph & by substitution
Pythagoras
Perimeter and circumference
Area of circle
Surface area, Volume & Capacity
Converting units of length, area and volume
Theoretical and experimental probability
Two way tables/Sample space, Expectation
Conditional probability
Raising
awareness of
maths through
Pi day activities
Unit Title
Polygons,
similarity &
congruence
Key Concept
communities
Related Concept
Pattern, model,
representation
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Global Context
Orientationin time and
space
Statement of Inquiry
Many geometric proofs date
back to the days of the great
Greek philosophers
MYP subject group
objective(s)
A i, ii, iii
C i, ii, iii, iv, v
D I, ii, iii, iv, v
ATL Skills
Reflection
Content
(topic, knowledge, skills
Angles at a point, angles on a straight line, angles on
parallel lines
Angles in a triangle, quadrilateral & polygon
(Interior and exterior angles)
Deductive reasoning & geometric proof
Transformations, Similarity & congruence
Service and
Action
Vertical Planner
Subject: Mathematics
Year level: MYP 4
Unit Title
Key Concept
Sets & Venn
diagrams
Quadratic
Equations
Coordinate
geometry
Mensuration
Pythagoras and
Trigonometry
Statement of Inquiry
MYP subject group
objective(s)
A i,ii, iiii
ATL Skills
Connections
Representation
systems
Identities and
relationships
Development
Culture
pattern
Fairness and
development
The spread of many diseases
can be modeled by an
exponential function
A i, ii, iii
B i, ii, iii
Communication
Represention
quantity
Orientation in time and
space
The study speed, distance,
time graphs connects
mathematics and physics
A iii, iv
B i, ii, iii
C iii, iv, v
Communication,
Connections
Patterns
simplification
Identities and
relationships
The flight of an object is
modeled by a quadratic
equation
A i, ii
C i, ii, iii, iv,
collaboration
Communication
Representation
space
Identities and
relationships
Parabolas can be found in the
real world all around us
Communication
Equivalence
System
patterns
Scientific and technical
innovation
Technology can help us model
real life situations to many
different functions
Quadratic graphs
functions &
transformations
Global Context
ebay uses Database Tables
and “SQL” Structured Query
Language, that uses AND,
OR, and NOT statements to
do set theory operations to
carry out searches
Indices & surds
Algebra &
equations
Related Concept
Development
Representation
system
Scientific and technical
innovation
Aesthetics
Model
Quantity
space
Personal and cultural
identity
connections
Generalization,
Justification
change
Scientific and technical
innovation
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Coordinate systems have been
developed for 2D and 3D, but
may theoretically work in 4D
Packaging is generally
designed to minimise surface
area and maximise volume
Trigonometric ratios were
used before the invention of
calulators, how is that
possible?
A i, ii,
C ii, iii, iv, v
D ii, iii, iv, v
A ii, iii, iv
B ii, iii, iv
A ii, iii
B i, ii, iii
C i, ii, iii, iv
A i, ii, iii
B i, ii, iii
A ii, iii
C ii, iii, iv, v
D i, ii, iii, iv, v
Critical thinking
Reflection
Critical thinking
reflection
transfer
Organisation
Collaboration
Content
(topic, knowledge, skills
Number sets
Set notation
Mutually exclusive sets
Venn diagrams
Probability using Venn diagrams
Laws of indices
Exponential equations
Scientific notation (standard form)
Simplifying surds
Linear equations , linear inequalities
Money and investment problems
Motion problems
Expanding brackets, difference of two squares,
perfect squares
Binomial expansion
Factorisation,
trinomial factorisation
Solving by factorisation & abc formula
Solving by completing the square
Drawing quadratic functions; axis of symmetry,
max/min
Transforming quadratic functions
Completing the square to draw the graph,
Linear, quadratic, cubic, exponential, hyperbolic,
periodic functions and their transformations
Distance between two points
Midpoint of a line
Vertical and horizontal lines, equation of a straight
line
Intersecting lines & simultaneous equations
Percentage error in measurements
Perimeter, area, surface area & volume review
Heron’s formula for area of a triangle
Pythagorean triples
Bearings, Right angled trigonometric ratios
Sine & Cosine rule
area of a triangle A = ½ abSinC
Service and
Action
Vertical Planner
Subject: Mathematics standard and extended
Year level: MYP5
Unit Title
Key Concept
Related Concept
Global Context
Algebraic fractions
& Binomial
expansion
Change
Equivalence,
generalization
Identities and
relationships
Radicals,
Advanced
trigonometry
Identity
Justification,
measurement
Orientation in space
and time
In tune with trigonometry
Exponential and
logs
Time, place and
space
Change, pattern
Fairness and
development
Earthquakes can be modeled
with exponentials and
logarithms
C i-v
D i-v
Transfer skills
Functions &
sequences
Systems
Representation,
simplification
Identities and
relationships
Fibonacci was a genius!
B i-iii
Reflection skills
Vectors
Creativity
Equivalence,
representation
Orientation in space
and time
A i-iii
Creative thinking
skills
Introduction to
calculus
Systems
Simplification,
change
Scientific and technical
innovation
A i-iii
Critical thinking
skills
Statistics &
probability
communication
Change,
justification
Personal and cultural
expression
C i-v
D i-v
Transfer skills
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Statement of Inquiry
MYP subject group
objective(s)
ATL Skills
Content
(topic, knowledge, skills
B I,ii,iii
C I,ii,iii,iv,v
Communication
D I,ii,iii,iv,v
Collaboration skills
Expansion law Factorization
Binomial expansion
Simplifying algebraic expressions
Operations with algebraic fractions
Radicals
Trigonometric ratios, The unit circle
The sine and cosine rule
2- and 3-dimensional problems
Multiples of 30 and 45 degrees
Trigonometric equations
Modeling with sine functions
Index laws
Exponential functions, Exponential equations
Growth and decay
Compound interest
Logarithms
Functions & Transformations
Inverse function & Composite functions
Sequences& Recurrence
Vectors equality
Addition &Subtraction
Vectors in component form
Scalar product
Gradients & Differentiation
Optimization
Areas under curves, Integration
Discrete and continuous data
Cumulative frequency, Box-and-whisker plot
Standard deviation , Normal distribution
The product and sum principle
Permutations, factorials, combinations
A I,Ii,iii
Archimede’s nested cylinder,
hemisphere and cone
Service and
Action