Download here - The Ferrers School

KS3
Half Term 1
Half Term 2
Half Term 3
Half Term 4
Half Term 5
Half Term 6
Yr7
Yr8
Yr9
Yr71 Welcome to The Ferrers
Yr72 Build a Farm
Yr73 Bus Time Table
Yr74 Threat to world piece
Yr75 Design a Bedroom
Yr76 Theme Park
Yr77 Around the World
Yr78 Business
Yr79 Fairground
Yr710 Canteen
Yr711 Hotel
Yr712 Healthy Eating
Yr713 Formula 1
Yr714 Sportsfield
Yr715 Physics
Yr716 Average Student
Yr717 Summer Holiday
Yr81 Welcome Back
Yr82 Pizza
Yr83 My Music
Yr84 Reducing Accidents
Yr85 Planets
Yr86 Concert
Yr87 Mobile Phone
Yr88 Hazards
Yr89 History
Yr810 Cake Shop
Yr811 Explorers
Yr812 World Stats
Yr813 Sniper
Yr814 Maths or Magic
Yr815 Recruitment
Yr816 Summer Holiday
Yr817 Sports Day
Yr91 Money Matters
KS4
Yr9
FOUNDATION
Yr93F Half
Term3
Yr94F Half
Term 4
Yr95F Half
Term 5
Yr96F Half
Term 6
Yr10
HIGHER
Yr91H Half
Term 1
Yr92H Half
Term 2
Yr93H Half
Term 3
Yr94H Half
Term 4
Yr95H Half
Term 5
Yr96H Half
Term 6
FOUNDATION
Yr101F Half
Term 1
Yr102F Half
Term 2
Yr103F Half
Term 3
Yr104F Half
Term 4
Yr105F Half
Term 5
Yr106F Half
Term 6
HIGHER
Yr101H Half
Term 1
Yr102H Half
Term 2
Yr103H Half
Term 3
Yr104H Half
Term 4
Yr105H Half
Term 5
Yr106H Half
Term 6
Yr11
FOUNDATION
Yr111F Half
Term 1
Yr112F Half
Term 2
HIGHER
Yr111H Half
Term 1
Yr112H Half
Term 2
Yr71 Welcome to The Ferrers
Draw a Tally
Chart
Understand
Qualitative/
Quantitative/
Continuous/
Discrete Data
Calculate
Median
Average from a
list of Data
Draw a
Pictogram
Draw a Bar
Chart
Find Mode
Average
Draw a
Comparative
Bar Chart
Draw a
Composite Bar
Chart
Draw a
Frequency
Table
Calculate Range
from a list of
Data
Find Modal
Group
Calculate Mean
Average from a
list of Data
Interpret
Pictograms
Statistics
Interpret Bar
Charts
Estimation
Number
Convert
between metric
units of length
Geometry
&
Measure
Understand the
difference
between
Imperial and
Metric
Measurements
Calculate with
Time
Interpret a
scatter graph
by drawing a
line of best fit
and describing
correlation
Draw a Pie
Chart
Find mode from
a frequency
table
Draw a
Frequency
Polygon
Interpret a Pie
Chart
Draw a
Grouped
Frequency
Table
Draw a Scatter
Graph
Find mean from
a frequency
table
Find Median
from a
Frequency
Table
Calculate a % of
a Quantity
Draw a Stem
and Leaf
Diagram
Express one
number as a
percentage of
another
Convert
between
Imperial and
Metric units
Yr72 Build a Farm
Algebra
Add and
Subtract
Integers
Solve Money
Problems
Number
Geometry
&
Measure
Calculate area
of a rectangle/
square
Calculate area
of a triangle
Calculate
fraction of a
quantity
Calculate a % of
a quantity
Long
Multiplication
Calculate area
of a
parallelogram/
rhombus
Calculate area
of a compound
shapes
Calculate area
of a Trapezium
Use Simple
Formulae
Multiply
Decimals by
Integers
Increase/
Decrease an
amount by a %
Calculate area
of a circle
Calculate
Profit/Loss
Yr73 Bus Time Table
Number
Solve money
problems
Read from
Different Scales
Read time in 12
and 24 hour
Calculate with
time
Round to
decimal places
Round to
significant
figures
Convert
between
imperial and
metric units
Calculate
Speed/Distance
/Time
Understand the
difference
between
imperial and
metric
measurements
Geometry
&
Measure
Yr74 Threat to World Piece
Number
Algebra
Geometry
&
Measure
Plot
Coordinates in
the First
Quadrant
Basic Collect
Like Terms
Find Equivalent
Fractions
Draw and
Name
Horizontal and
Vertical Lines
Draw and
Interpret Linear
Graphs
Understand
y=mx+c
Find a Term to
Term Rule
Simplify
Expressions
Find the Nth
Term of a
Sequence
Measure Angles
accurately
using a
Protractor
Construct
Bisectors
Understand
Bearings
Draw Angles
Accurately
Yr75 Design a Bedroom
Number
Geometry
&
Measure
Solve Money
Problems
Calculate area
of a compound
shape
Calculate the
perimeter of a
compound
shape
Scale drawing
and maps
Y76 Theme Park
Draw a Tally
Chart
Find Mode
Average
Calculate Range
from a List of
Data
Draw a
frequency table
Statistics
Add and
Subtract
Integers
Number
Calculate
Median
average from a
list of data
Calculate mean
average from a
list of data
Draw a Line
Graph
Draw a Pie
Chart
Long
Multiplication
Round to
Decimal Places
Find the mean
from a
frequency table
Long Division
Estimation
Algebra
Geometry
&
Measure
Estimate the
mean from a
grouped
frequency table
Draw a stem
and leaf
diagram
Calculate the
perimeter of a
square/
rectangle
Calculate the
area of a
rectangle/
square
Calculate the
perimeter of a
triangle
Calculate the
Perimeter of a
compound
shape
Calculate area
of a triangle
Calculate area
of a
parallelogram/
rhombus
Rearrange
formulae
Calculate area
of a circle
Calculate
circumference
of a circle
Yr77 Around the World
Estimation
Simple BIDMAS
Number
Algebra
Geometry
&
Measure
Plot coordinates in all
4 quadrants
Find area by
counting
squares
Identify Line
Symmetry
Identify
Rotational
Symmetry
BIDMAS(inc
powers)
Understand
y=mx+c
Convert
between
imperial and
metric units
Understand
bearings
Convert
between metric
units of length
Construct
Bisectors
Calculate the
length of a
missing side of
a right angled
triangle
Yr78 Business
Geometry
and
Measure
Calculate
volume by
counting cubes
Calculate Area
of a Rectangle/
Square
Draw common
2D shapes
Name 2D
shapes
Calculate
volume of a
cuboid
Calculate area
of a Triangle
Convert
between metric
units of volume
Identify Nets of
3D Shapes
Calculate the
Surface Area of
a cuboid
Calculate the
volume of a
cylinder
Calculate the
volume of a
Prism
Calculate
surface area of
a triangular
prism
Calculate the
surface area of
a cylinder
Create a
Questionnaire
Understand
what makes a
good and bad
questionnaire
Calculate the
surface area of
a Cone
Calculate the
volume of a
sphere
Calculate the
surface area of
a sphere
Draw and
interpret
sample space
diagrams
Find Probability
of Something
NOT happening
Probability of
Independent
Events
Draw
Probability Tree
Diagrams
Draw a Pie
Chart
Proportion
Create a
questionnaire
Divide Fractions
Multiply
Fractions
Calculate
profit/loss
Name 3D
Shapes
Identify Edges,
Vertices and
Faces
Identify
different
triangles
Calculate area
of a Circle
Calculate
Circumference
of a circle
Statistics
Yr79 Fairground
Draw a Tally
Chart
Statistics
Use words to
describe the
probability
scale
Use numbers to
describe the
probability
scale
Calculate
probability of
single events
Calculate
Relative
Frequency
Calculate
Expected
Number of
Outcomes
Yr710 School Canteen
Understand
basic sampling
Statistics
Number
G&M
Algebra
Read from
different scales
Write a formula
from a worded
question
Use a stratified
sample
Yr711 Hotel
Statistics
Draw a line
Graph
Simple Ratio
Number
Calculate % of a
quantity
Crate a two
way table
Divide into a
ratio
Increase/Decre
ase an amount
by a %
Proportion
Calculate the
volume of a
cuboid
Calculate with
time
G&M
Calculate the
volume of a
prism
Yr712 Healthy Eating
Long
Multiplication
Number
Multiply
Decimals by
Integers
Multiply
Decimals by
Decimals
Long Division
Yr713 Formula 1
Statistics
Draw a Tally
Chart
Understand
Decimal Place
Value
Number
G&M
Yr714 Sports Field
Yr715 Physics
Yr716 Average student
Yr717 Summer Holiday
Draw a
Frequency
Table
Find Mode
Average
Solve Money
Problems
Draw a Pie
Chart
Round to
10,100,1000
Add and
Subtract
Integers
Add and
Subtract
Decimals
Order Decimals
Round to
Decimal Places
Round to
Significant
Figures
Proportion
Calculate with
Time
Calculate
Speed/Distance
/Time
Calculate
Profit/Loss
Yr81 Welcome Back
Understand
Basic Sampling
Statistics
Calculate a % of
a quantity
Number
Estimation
Long
Multiplication
Draw and
Interpret Linear
Graphs
Understand the
different types
of
Transformation
Calculate area
of a circle
Algebra
Geometry
&
Measure
Calculate the
Perimeter of a
square/
rectangle
Calculate area
of a rectangle/
square
Draw and
Interpret
Sample Space
Diagrams
Increase/
Decrease an
Amount by a %
Proportion
Calculate the
Perimeter of a
Triangle
Calculate area
of a Triangle
Yr82 Pizza
Algebra
Geometry
&
Measure
Plot coordinates in all
4 quadrants
Draw and
interpret linear
graphs
Calculate
gradient of
linear graphs
Calculate
speed/distance
/time
Understand
y=mx+c
Draw Quadratic
graphs
Yr83 My Music
Draw a Tally
Chart
Draw a Bar
Chart
Statistics
Understand
qualitative,
quantitative,
continuous,
discrete data
Understand
what a
Hypothesis is
Understand the
advantages and
disadvantages
of mode,
median, mean.
Calculate
Median
Average From a
List of Data
Draw a
Frequency
Table
Calculate Mean
Average from a
List of Data
Find Mode
Average
Find Modal
Group
Calculate Range
from a list of
Data
Draw a
Comparative
Bar Chart
Draw a
Composite Bar
Chart
Draw a Line
Graph
Draw a
Grouped
Frequency
Table
Find Mode
from a
Frequency
Table
Find Mean
From a
Frequency
Table
Find Median
From a
Frequency
Table
Draw a Pie
Chart
Draw a Scatter
Graph
Draw a
Frequency
Polygon
Draw a Two
Way Table
Draw a
Frequency
Diagram
Estimation.
Number
Yr84 Reducing Accidents
Understand
what a
Hypothesis is
Interpret a Two
Way Table
Statistics
Interpret a pie
chart
Interpret a
scatter graph
by drawing a
Line of Best Fit
and Describing
Correlation
Draw a Scatter
Graph
Draw a Two
Way Table
Estimate the
Mean from a
Grouped
Frequency
Table
Yr85 Planets
Substitute
values into
expressions
Algebra
Understand
Multiples
Laws of Indices
Understand
Factors
Number
Yr86 Concert
Draw a Tally
Chart
Draw a
Pictogram
Statistics
Draw a Bar
Chart
Draw a
Frequency
Table
Calculate
Median
Average From a
List of Data
Calculate Mean
Average from a
List of Data
Find Modal
Group
Simple Ratio
Number
Find Mode
from a
Frequency
Table
Find Mean
From a
Frequency
Table
Find Median
From a
Frequency
Table
Proportion
Increase/
Decrease an
Amount by a %
Write a
Formula from
Worded
Question
Algebra
Geometry
&
Measure
Draw a Pie
Chart
Calculate with
Time
Draw on
Isometric Paper
Calculate area
of a compound
shape
Create a
Questionnaire
Calculate
Profit/Loss
Solve a Linear
Inequality
Find the Locus
of an Object
Convert
ordinary
number to
standard form
Convert
standard form
to Ordinary
Number
Calculate in
Standard Form
Yr87 Mobile Phone
Understand
decimal place
value
Number
Add and
Subtract
Integers
Solve Money
Problems
Multiply
decimals by
integers
Multiply
decimals by
decimals
BIDMAS (inc
Powers)
Divide into a
Ratio
Find Mean
From a
Frequency
Table
Find LCM
Add and
Subtract
Decimals
Yr88 Hazards
Simple BIDMAS
Number
Draw a Line
Graph
Statistics
Find HCF
Calculate Mean
Average from a
List of Data
Yr89 History
Statistics
Understand
Decimal Place
Value
Find Mode
Average
Interpret a Two
Way Table
Times Tables
upto 12
Order Decimals
Number
Algebra
List Square
Numbers
Express one
number as a
Percentage of
another
List Prime
Numbers
Understand
Multiples
Understand
Factors
Calculate a % of
a quantity
Find the Nth
Term of a
Sequence
Find the Nth
Term of a
Quadratic
Sequence
Yr810 Cake Shop
Statistics
Number
Understand
Decimal Place
Value
Add and
Subtract
Integers
Times Tables
upto 12
Read from
Different Scales
Understand the
Advantages and
Disadvantages
of Mode/
Median/ Mean
Divide Integers
Proportion
Simple Ratio
Direct
Proportion
Calculate
Profit/Loss
Calculate with
Time
Understand the
Different
between
Imperial and
Metric
Measurements
G&M
Draw and
Interpret Linear
Graphs
Algebra
Yr811 Explorers
Statistics
Number
Add and
Subtract
Integers
G&M
Algebra
Plot
Coordinates in
the First
Quadrant
Understand
Inequality Signs
Plot
Coordinates in
all 4 Quadrants
Convert
between
Currency
Draw and
Name
Horizontal and
Vertical Lines
Find Probability
of something
NOT happening
Convert
between
Fractions/
Decimals/
Percentages
Probability of
Independent
Events
Convert
Terminating
Decimals to
Fractions
Draw and
Interpret Linear
Graphs
Draw and
Interpret
Quadratic
Graphs
Understand
y=mx+c
Expand Single
Brackets
Calculate
gradient of
Linear Graphs
Draw Graphs of
Inequalities
Yr812 World Stats
Draw a Bar
Chart
Draw a
Frequency
Table
Draw a Line
Graph
Draw a Pie
Chart
Interpret Bar
Charts
Find Mode
Average
Calculate Mean
Average from a
List of Data
Calculate
Median
Average From a
List of Data
Find Modal
Group
Interpret a Pie
Chart
Calculate Range
from a list of
Data
Draw a
Comparative
Bar Chart
Statistics
Draw a
Composite Bar
Chart
Estimate the
Mean from a
Grouped
Frequency
Table
Draw a
Histogram
Interpret and
Compare Data
From Box Plots
Draw a
Cumulative
Frequency
Graph
Draw a Box Plot
from a
Cumulative
Frequency
Graph
Interpret a
Cumulative
Frequency
diagram and
calculate
UQ/LQ/Median
/IQR
Draw a Scatter
Graph
Find Mode
from a
Frequency
Table
Interpret a
scatter graph
by drawing a
Line of Best Fit
and Describing
Correlation
Draw a
Grouped
Frequency
Table
Yr813 Sniper
Identify Acute,
Obtuse and
Reflex Angles
G&M
Yr814 Maths or Magic
Yr815 Recruitment
Yr816 Summer Holiday
Yr817 Sports Day
Yr91 Money Matters
Draw Angles
Accurately
Calculate the
length of a
missing side of
a right angled
triangle
Find the Locus
of an Object
Calculate the
size of a
missing angle
using
Trigonometry
Calculate the
size of a
missing side
using
trigonometry
Key Objectives:
You are starting a new job in Castletown in 2 weeks time and need to organise your finances
carefully to see what you can afford and what is best for your family.
The new job pays a monthly* salary of £3,150 before tax.
Your spouse also gets a job teaching in Lower Westacre Primary School. They earn a
monthly* salary of £2100 before Tax.
Calculate their yearly income
Calculate their income after tax per month
Understand what comes out of your salary
Understand what Tax is
Understand how to calculate tax
Understand what a payslip looks like
Key Objectives:
You want to live in Lower Westacre, a small village 20 miles from Castletown.
You need to decide whether to rent or buy a house and which option suits your family needs
and budget.
Make sure you look at all the particulars for each option and make the right decision.
Buying or renting houses always comes with additional costs which you will have to take
into account.
You will take most of the furniture from your old house but you will need to buy some new
furniture for the bedrooms whether you are renting or buying.
If you are buying then the bedrooms will all need to be redecorated.
Key Objectives:
The School in Castletown is perfect for your son James (7). There are also a range of day
care and nursery options for your daughter Claire (3) who has a free place at Lower
Westwood Nursery for 2 days a week.
You receive £19 a week child benefit for each of your children. This is paid directly into your
bank account once every four weeks.
Key Objectives:
What would you save for?
How much money do you have left to save?
Check out a bank site to find out typical interest rates?
Why would you need to borrow?
You need to borrow £1000, how could you do this investigate the
different methods.
Key Objectives:
Play the gambling game
Is it worth it?
Play wall street
How much did you win/lose
Was it worth the risk
Yr91H Half Term 1 Higher
N1 

N2 

Order positive and negative integers
Use the symbols =, ≠, <, >, ≤, ≥
Recognise and use relationships between operations
including inverse operations (e.g. cancellation to simplify
calculations and expressions)
N14
Estimate answers
Check calculations using approximation and
estimation, including answers obtained using technology
N4 
including use on a number
line
Apply the four operations, including formal written

methods, to integers – both positive and negative
Understand and use place value (e.g. when working
with very large or very small numbers, and when calculating
with decimals)
N3 



Use the concepts and vocabulary of prime numbers, 
factors (divisors), multiples, common factors, common
multiples, highest common factor, lowest common multiple,
prime factorisation, including using product notation, and the
unique factorisation theorem
including questions set in
context (knowledge of terms used
in household finance, for example
profit, loss, cost price, selling price,
debit, credit and balance, income
tax, VAT, interest rate)
including evaluation of
results obtained
prime factor decomposition
including product of prime factors
written in index form
N5 
Apply systematic listing strategies and the use of the 
product rule for counting
G1
Use conventional terms and notations:
points, lines, vertices, edges, planes, parallel
lines, perpendicular lines, right angles, polygons, regular
polygons and polygons with reflection and/or rotation
symmetries
Use the standard conventions for labelling and
referring to the sides and angles of triangles
Draw diagrams from written descriptions
o


G3
o
o
o

R2 
G15

Apply the properties of:
angles at a point
angles at a point on a straight line
vertically opposite angles
Understand and use alternate and corresponding
angles on parallel lines
Use scale factors, scale diagrams and maps

colloquial terms such as Z
angles are not acceptable and
should not be used

including geometrical
problems
Measure line segments and angles in geometric

figures, including interpreting maps and scale drawings and
use of bearings

A1

Use and interpret algebraic notation, including:


coefficients written as fractions rather than as decimals
brackets
N3 
Use conventional notation for priority of operations,
including brackets, powers, roots and reciprocals
A3 
understand and use the concepts and vocabulary of
expressions, equations, formulae, identities, inequalities,
terms and factors
A4 
Simplify and manipulate algebraic expressions
(including those involving surds) by:
collecting like terms
multiplying a single term over a bracket
taking out common factors
o
o
o
including using lists, tables
and diagrams

including the eight compass
point bearings and three-figure
bearings
it is expected that answers
will be given in their simplest form
without an explicit instruction to do
so
this will be implicitly and
explicitly assessed
N1 
N2 
N8 
Order positive and negative fractions
Apply the four operations, including formal written
methods, to simple fractions (proper and improper) and mixed
numbers - both positive and negative
Calculate exactly with fractions
Yr92H Half Term 2 Higher
N1 
Order positive and negative decimals
N2 
Apply the four operations, including 
formal written methods, to decimals – both
positive and negative
Understand and use place value
(e.g. when calculating with decimals)

N10

Work interchangeably with
terminating decimals and their
corresponding fractions (such as 3.5 and 72
or 0.375 and 38 ) including ordering
Change recurring decimals into
their corresponding fractions and vice
versa
A8 
Work with co-ordinates in all four
quadrants
G11

Solve geometrical problems on coordinate axes
A9 
Plot graphs of equations that
correspond to straight line graphs in the coordinate plane
Use the form
to identify
parallel lines and perpendicular lines
Find the equation of the line through
two given points, or through one point with a
given gradient


including questions set in context (knowledge
of terms used in household finance, for example
profit, loss, cost price, selling price, debit, credit and
balance, income tax, VAT, interest rate)
A10
Identify and interpret gradients and
intercepts of linear functions graphically and
algebraically
N15

including appropriate rounding for questions set in context
Round numbers and measures to an
students should know not to round values during
appropriate degree of accuracy (e.g. to a 
intermediate
steps of a calculation
specified number of decimal places or
significant figures)
Use inequality notation to specify
simple error intervals due to truncation or
rounding

N16
Apply and interpret limits of accuracy
including upper and lower bounds
N2 
Understand and use place value 
(e.g. when working with very large or very
small numbers)

Calculate with and interpret standard
N9 
form
integer
where
and n is an 
including questions set in context
with and without a calculator
interpret calculator displays
Yr93H Half Term 3 Higher
A23
Generate terms of a sequence from either a term-to-term 
or a position-to-term rule
including from patterns
and diagrams
A24
Recognise and use:

sequences of triangular, square and cube numbers
simple arithmetic progression
Fibonacci type sequences
quadratic sequences
and simple geometric progressions (r n where n is
an integer and r is a rational number > 0)
other sequences
other recursive
sequences will be defined in the
question
o
o
o
o
o
o
A25
Deduce expressions to calculate the nth term of linear and
quadratic sequences
R9 
Define percentage as ‘number of parts per hundred’
Interpret percentages and percentage changes as a
fraction or decimal and interpret these multiplicatively
Express one quantity as a percentage of another
Compare two quantities using percentages
Work with percentages greater than 100%




N12
Interpret fractions and percentages as operators
G12

Identify properties of the faces, surfaces, edges and
vertices of: cubes, cuboids, prisms, cylinders, pyramids, cones
and spheres
G17

Calculate the perimeter of a 2D shapes and composite
shapes

G16

o
o
o
Find the surface area of pyramids composite shapes
Know and apply formulae to calculate area of:
triangles
parallelograms
trapezia

including interpreting
percentage problems using a
multiplier
N8 

A24
Calculate exactly with surds
Simplify surd expressions involving squares (eg 12 − − √
=4×3 − − − − − √ =4 √ ×3 √ =23 √ ) and rationalise denominators
Recognise and use simple geometric progressions (rⁿ
where n is an integer and r is a surd)
Yr93F Half Term 3 Foundation
N1


Order positive and negative integers
Use the symbols =, ≠, <, >, ≤, ≥

including use of a
number line. Students
should know the
conventions of an open
circle on a number line for
a strict inequality and a
closed circle for an
included boundary
N2

Apply the four operations, including formal
written methods, to integers – both positive and
negative
Understand and use place value (e.g.
when working with very large or very small
numbers, and when calculating with decimals)
including
questions set in context
(knowledge of terms used
in household finance, for
example profit, loss, cost
price, selling price, debit,
credit and balance,
income tax, VAT and
interest rate)


o
N3

Recognise and use relationships between
operations including inverse operations (e.g.
cancellation to simplify calculations and
expressions)
N14


Estimate answers

Check calculations using approximation
and estimation, including answers obtained using
technology
including
evaluation of results
obtained
N4

Use the concepts and vocabulary of prime
numbers, factors (divisors), multiples, common
factors, common multiples, highest common
factor, lowest common multiple, prime
factorisation, including using product notation, and
the unique factorisation theorem
prime factor
decomposition including
product of prime factors
written in index form
N5

Use conventional
terms and notations:
points, lines,
vertices, edges, planes,
Apply systematic listing strategies

including using
lists, tables and diagrams


parallel lines, perpendicular
lines, right angles, polygons,
regular polygons and
polygons with reflection
and/or rotation symmetries
Use the standard
conventions for labelling and
referring to the sides and
angles of triangles
Draw diagrams from
written descriptions
G3

o
o
o

R2

Apply the properties of:

angles at a point
angles at a point on a straight line
vertically opposite angles
Understand and use alternate and
corresponding angles on parallel lines
Use scale factors, scale diagrams and

maps
including
geometrical problems
including the eight
compass point bearings
and three-figure bearings
G15

Measure line segments and angles in

geometric figures, including interpreting maps and
scale drawings and use of bearings
A1

Use and interpret algebraic notation,
including:

coefficients written as fractions rather than
decimals
brackets


N3

Use conventional notation for priority of
operations, including brackets, powers, roots and
reciprocals
A3

understand and use the concepts and

vocabulary of expressions, equations, formulae,
identities, inequalities, terms and factors
A4

Simplify and manipulate algebraic
expressions by:
collecting like terms
o
colloquial terms
such as Z angles are not
acceptable and should
not be used
it is expected that
answers are given in their
simplest form without an
explicit instruction given in
the question
this will be
implicitly and explicitly
assessed
o
multiplying a single term over a
bracket
o
N1

N2

N8

taking out common factors
Order positive and negative fractions
Apply the four operations, including formal
written methods, to simple fractions (proper and
improper) and mixed numbers - both positive and
negative
Calculate exactly with fractions
Yr94H Half Term 4 Higher
G9
Identify and apply circle definitions and properties, including:
centre, radius, chord, diameter, circumference, tangent, arc, sector and
segment
G17

Know and use the formulae:

Circumference =2πr=πd
Area of a circle =πr 2
Calculate the perimeters of 2D shapes including circles and
composite shapes
Calculate areas of circles and composite shapes
Calculate surface area of spheres, cones and composite solids
o
o



G18

Calculate arc lengths, angles and areas of sectors of circles
N11
Identify and work with fractions in ratio problems
R3 
R4 
R5 


R6 
Express one quantity as a fraction of another, where the fraction
is less than 1 or greater than 1
Use ratio notation, including reduction to simplest form

including better value
Divide a given quantity into two parts in a given part:part or
or best buy problems
part:whole ratio
Express the division of a quantity into two parts as a ratio
Apply ratio to real contexts and problems (such as those involving
conversion, comparison, scaling, mixing and concentrations)
Express a multiplicative relationship between two quantities as a
ratio or fraction
R7 
Understand and use proportion as equality of ratios
R8 
Relate ratios to fractions and to linear functions
A2 
solutions in terms
of π may be asked for
Substitute numerical values into formulae and expressions,
including scientific formulae

unfamiliar formulae
will be given in the question
A17
Solve linear equations in one unknown algebraically including 
those with the unknown on both sides of the equation
including use of
brackets
Yr94F Half Term 4 Foundation
A8 
Work with co-ordinates in all four quadrants
G11

Solve geometrical problems on co-ordinate axes
A9 
Plot graphs of equations that correspond to straight line
graphs in the co-ordinate plane
N1 
N2 

N10
Order positive and negative decimals
Apply the four operations, including formal written methods,
to decimals – both positive and negative
Understand and use place value (e.g. when calculating with
decimals)
Work interchangeably with terminating decimals and their 
corresponding fractions (such as 3.5 and
N15

N16
or 0.375 and
including ordering
)

Round numbers and measures to an appropriate degree of
accuracy (e.g. to a specified number of decimal places or

significant figures)
Use inequality notation to specify simple error intervals due
to truncation or rounding
including appropriate rounding
for questions set in context
students should know not to
round values during intermediate steps
of a calculation
Apply and interpret limits of accuracy
A2 

unfamiliar formulae will be
Substitute numerical values into formulae and expressions,
given in the question
including scientific formulae
A17

Solve linear equations in one unknown algebraically
including those with the unknown on both sides of the equation
P1 
probabilities should be written
Record, describe and analyse the frequency of outcomes of
as fractions, decimals or percentages
probability experiments using tables and frequency trees
P4 
Apply the property that the probabilities of an exhaustive
set of outcomes sum to one
Apply the property that the probabilities of an exhaustive
set of mutually exclusive events sum to one

including use of brackets
P7 
Construct theoretical possibility spaces for single and
combined experiments with equally likely outcomes and use these
to calculate theoretical probabilities
A23

including from patterns and
Generate terms of a sequence from either a term-to-term or
diagrams
a position-to-term rule
A24
o
o
o
o
o
A25

Recognise and use:
sequences of triangular, square and cube numbers
simple arithmetic progression
Fibonacci type sequences
quadratic sequences
and simple geometric progressions (r n where n is
an integer and r is a rational number > 0)
other recursive sequences will
be defined in the question
Deduce expressions to calculate the n th term of a linear
sequence
Yr95H Half Term 5 Higher
P1

Record, describe and analyse the frequency of

outcomes of probability experiments using tables and frequency
trees
P4

Apply the property that the probabilities of an exhaustive
set of outcomes sum to 1
Apply the property that the probabilities of an exhaustive
set of mutually exclusive events sum to 1

P7

Construct theoretical possibility spaces for single and
combined experiments with equally likely outcomes and use
these to calculate theoretical probabilities
S2

Interpret and construct tables, charts and diagrams
including, for categorical data:
frequency tables
bar charts
pie charts
pictograms
vertical line charts for ungrouped discrete
numerical data
tables and line graphs for time series data
know their appropriate use
o
o
o
o
o
o
o

probabilities should be
written as fractions, decimals or
percentages
including choosing suitable
statistical diagrams
S4


know and understand the terms
Interpret, analyse and compare distributions of data sets
primary
data,
secondary data, discrete data
from univariate empirical distributions through appropriate
and
continuous
data
graphical representation involving discrete, continuous and
grouped data, including boxplots
S3

Construct and interpret diagrams for grouped discrete
data and continuous data, i.e. histograms with equal and
unequal class intervals and cumulative frequency graphs, and
know their appropriate use
S6


know and understand the terms
Use and interpret scatter graphs of bivariate data
Recognise correlation and know that it does not indicate positive correlation, negative correlation, no
correlation, weak correlation and strong
causation
correlation
Draw estimated lines of best fit
Make predictions




Interpolate and extrapolate apparent trends whilst
knowing the dangers of doing so
Yr95F Half Term 5 Foundation
R9 




Define percentage as ‘number of parts per hundred’
Interpret percentages and percentage changes as a fraction
or a decimal and interpret these multiplicatively
Express one quantity as a percentage of another
Compare two quantities using percentages
Work with percentages greater than 100%
N12
G12

Interpret fractions and percentages as operators

including interpreting
percentage problems using a
multiplier
Identify properties of the faces, surfaces, edges and
vertices of: cubes, cuboids, prisms, cylinders, pyramids, cones and
spheres
G17

Calculate the perimeter of a 2D shape and composite
shapes

G16

o
o
o
Calculate the area of composite shapes
Know and apply formulae to calculate area of:
triangles
parallelograms
trapezia
G9
Identify and apply circle definitions and properties, including
centre, radius, chord, diameter, circumference, tangent, arc, sector
and segment
G17

Know the formulae
circumference of a circle =2πr=πd
area of a circle =πr 2
Calculate: perimeters of 2D shapes, including circles and
composite shapes
Calculate areas of circles and composite shapes
o
o


N11
Identify and work with fractions in ratio problems
R3 
Express one quantity as a fraction of another, where the
fraction is less than 1 or greater than 1
R4 
R5 


Use ratio notation, including reduction to simplest form
Divide a given quantity into two parts in a given part:part or 
part:whole ratio
Express the division of a quantity into two parts as a ratio
Apply ratio to real contexts and problems (such as those
involving conversion, comparison, scaling, mixing and
including better value
or best buy problems
concentrations)
R6 
Express a multiplicative relationship between two quantities
as a ratio or a fraction
R7 
Understand and use proportion as equality of ratios
R8 
Relate ratios to fractions and to linear functions
Yr96H Half Term 6 Higher
G2
o
o
o


G7
G24

G8
G13
R9 
o
o
o
Use the standard ruler and compass constructions:

perpendicular bisector of a line segment
constructing a perpendicular to a given line from / at a given point
bisecting a given angle
Know that the perpendicular distance from a point to a line is the shortest
distance to the line
Use these to construct given figures and solve loci problems
including
constructing an
angle of 60°
Identify, describe and construct congruent and similar shapes, including
on co-ordinate axes, by considering rotation, reflection, translation and
enlargement (including fractional and negative scale factors)
Describe translations as 2D vectors
Describe the changes and invariance achieved by combinations of
rotations, reflections and translations

including using column
vector notation for
translations
Construct and interpret plans and elevations of 3D shapes

Solve problems involving percentage change,

including:
percentage increase / decrease problems
original value problems
simple interest, including in financial
mathematics
N16
Apply and interpret limits of accuracy including
upper and lower bounds
G14

Use standard units of measure and related
concepts (length, area, volume / capacity, mass, time,
money etc)
N13
Use standard units of mass, length, time, money 
and other measures (including standard compound
measures) using decimal quantities where appropriate
R1 
Change freely between related standard units (e.g.
time, length, area, volume / capacity, mass) and
problems may be set in context
using a multiplier
know and use metric conversion
factors for length, area, volume and capacity.
Imperial / metric conversions will be given in
the question
compound units (e.g. speed, rates of pay, prices, density,
pressure) in numerical and algebraic contexts
R11
Use compound units such as speed, rates of pay, 
unit pricing, density and pressure
including making comparisons
Yr96F Half Term 6 Foundation
S2 
Interpret and construct tables, charts and diagrams
including, for categorical data:
frequency tables
bar charts
pie charts
pictograms
vertical line charts for ungrouped discrete
numerical data
tables and line graphs for time series data
know their appropriate use

including choosing suitable
statistical diagrams
S4 
Interpret, analyse and compare the distributions of
data sets from univariate empirical distributions through
appropriate graphical representation involving discrete,
continuous and grouped data

know and understand the terms
primary data, secondary data, discrete
data and continuous data
S6 
Use and interpret scatter graphs of bivariate data
Recognise correlation and know that it does not
indicate causation
Draw estimated lines of best fit
Make predictions
Interpolate and extrapolate apparent trends whilst
knowing the dangers of doing so

know and understand the terms
positive correlation, negative
correlation, no correlation, weak
correlation and strong correlation
o
o
o
o
o
o
o




G7
G24

Identify, describe and construct congruent and similar
shapes, on co-ordinate axes, by considering rotation,
reflection, translation and enlargement (including fractional
scale factors)
Describe translations as 2D vectors


G20
Know the formula for Pythagoras' Theorem a 2 +b 2 =c 2
Apply it to find length in right angled triangles in two dimensional
figures

G13
Construct and interpret plans and elevations of 3D shapes
Yr101H Half Term 1
G3
G4
Derive and use the sum of angles in a triangle (e.g. to
deduce and use the angle sum in any polygon, and to derive
properties of regular polygons)
Derive and apply the properties and definitions of:

including knowing
o
special types of quadrilaterals, including square,
rectangle, parallelogram, trapezium, kite and rhombus
and triangles and other plane figures using
appropriate language (including knowing names and properties of
isosceles, equilateral, scalene, right-angled, acute-angled, obtuseangled triangles)
names and using the
polygons: pentagon,
hexagon, octagon and
decagon
A14
Plot and interpret graphs (including reciprocal graphs and 
exponetial graphs) and graphs of non-standard functions in real
contexts, to find approximate solutions to problems such as simple
kinematic problems involving distance, speed and acceleration
including problems
requiring a graphical solution
R14

Interpret the gradient of a straight-line graph as a rate of
change
S4 
Interpret, analyse and compare the distributions of data sets
from univariate empirical distributions through:
appropriate measures of central tendency (median,
mean, mode and modal class)
spread (range, including consideration of outliers,
quartiles and inter-quartile range)
o
o
o
S5 
Apply statistics to describe a population
S1 
Infer properties of populations or distributions from a sample,
whilst knowing the limitations of sampling
N6
Use positive integer powers and associated real roots
(square, cube and higher)
Recognise powers of 2, 3, 4, 5
Estimate powers and roots of any given positive number


N7


Calculate with roots, and with integer and fractional indices
N10

Change recurring decimals into their corresponding fractions
and vice versa
N16

Apply and interpret limits of accuracy including upper and
lower bounds
A25
Deduce expressions to calculate the nth term of linear and
quadratic sequences
A24
Recognise and use simple geometric progressions (r n where
n is an integer and r is a surd)
including other sequences

N8

N7
Calculate exactly with surds
Simplify surd expressions involving squares (eg 12 − − √
=4×3 − − − − − √ =4 √ ×3 √ =23 √ ) and rationalise denominators
Calculate with roots and with integer and fractional indices
including square
numbers up to 15 x 15
know that 1000=10 3
and 1 million =10 6
Yr101F Half Term 1
N2 
Understand and use place value (e.g. when working
with very large or very small numbers)
N9 
R9 
o
o
o
Calculate with and interpret standard form
where
and n is an integer


Solve problems involving percentage change,

including:
percentage increase / decrease problems 
original value problems
simple interest, including in financial
mathematics
N16
Use standard units of measure and related concepts
(length, area, volume / capacity, mass, time, money etc)
N13
Use standard units of mass, length, time, money
and other measures (including standard compound
measures) using decimal quantities where appropriate
R1 
Change freely between related standard units (e.g.
time, length, area, volume / capacity, mass) and compound
units (e.g. speed, rates of pay, prices, density, pressure) in
numerical and algebraic contexts
R11
Use compound units such as speed, rates of pay, 
unit pricing, density and pressure
S4 
Interpret, analyse and compare the distributions of
data sets from univariate empirical distributions through:
appropriate measures of central tendency
(median, mean, mode and modal class)
spread (range, including consideration of
outliers)
o
S5 
S1 
problems may be set in
context
using a multiplier
Apply and interpret limits of accuracy
G14

o
with and without a calculator
interpret calculator displays

know and use metric
conversion factors for length, area,
volume and capacity. Imperial / metric
conversions will be given in the
question
including making comparisons
Apply statistics to describe a population
Infer properties of populations or distributions from a
sample, whilst knowing the limitations of sampling
Yr102H Half Term 2
G5
Use the basic congruence criteria for triangles (SSS, SAS, ASA,
RHS)
G6
Apply angle facts, triangle congruence, similarity and properties of
quadrilaterals to conjecture and derive results about angles and sides
including the base angles of an isosceles triangle are equal, and use known
results to obtain simple proofs
G19

Apply and use the concepts of congruence and similarity, including
the relationships between lengths, areas and volumes in similar figures
G20

Know the formula for Pythagoras' Theorem a 2 +b 2 =c 2
Apply it to find lengths in right angled triangles and, where possible,
general triangles in two and three dimensional figures
Know and use the trigonometric ratios



Apply them to find lengths in right angled triangles and, where
possible, general triangles in two and three dimensional figures
G21

Know the exact values of
0°, 30° 45°, 60° and 90°
Know the exact value of
0°, 30°, 45° and 60°

G6
Apply angle facts, triangle congruence, similarity and properties of
quadrilaterals to conjecture and derive results about angles and sides
including Pythagoras’ Theorem and use known results to obtain simple
proofs
R12
Compare lengths using ratio notation; make links to trigonometric
ratios
A19

A21


Solve two simultaneous equations in two variables (linear / linear or
linear/quadratic) algebraically
Find approximate solutions using a graph

including the
Translate simple situations or procedures into algebraic expressions
solution of geometrical
or formulae
problems and problems set in
Derive two simultaneous equations
context
Solve the equations and interpret the solution
P2 
Apply ideas of randomness, fairness and equally likely events to
calculate expected outcomes or multiple future experiments
P3 
Relate relative expected frequencies to theoretical probability, using
appropriate language and the 0 – 1 probability scale
P5 
Understand that empirical unbiased samples tend towards
theoretical probability distributions with increasing sample size
P6 
Enumerate sets and combinations of sets systematically, using
tables, grids, Venn diagrams and tree diagrams
P8 
Calculate the probability of independent and dependent combined 
events, including using tree diagrams and other representations, and know
the underlying assumptions
P9 
Calculate and interpret conditional probabilities through
representation using expected frequencies with two-way tables, tree
diagrams and Venn diagrams
know when to add
and when to multiply two or
more probabilities
Yr102F Half Term 2
N6 

Use positive integer powers and associated real roots (square, cube
and higher)
Recognise powers of 2, 3, 4, 5


N7 
Calculate with roots and with integer indices
G2

Use the standard ruler and compass constructions:
perpendicular bisector of a line segment
constructing a perpendicular to a given line from / at a given
o
o
including
square numbers
up to 15x15
know that
1000=10 3 and 1
million = 10 6
constructing a
60° angle
point
o


bisecting a given angle
Know that the perpendicular distance from a point to a line is the
shortest distance to the line
Use these to construct given figures and solve loci problems
A3 

Understand and use the concepts and vocabulary of expressions,
equations, formulae, identities, inequalities, terms and factors (review of Year
9)
A4 
Simplify and manipulate algebraic expressions (including those
involving surds) by:
collecting like terms
multiplying a single term over a bracket
taking out common factors
o
o
o
A25
A17
G5
G6
this will be
implicitly and explicitly
assessed
Deduce expressions to calculate the nth term of a linear sequence
Solve linear equations in one unknown algebraically including those 
with the unknown on both sides of the equation (review of Year 9)
Use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS)
Apply angle facts, triangle congruence, similarity and properties of
quadrilaterals to conjecture and derive results about angles and sides,
including Pythagoras’ Theorem and the fact that the base angles of an
isosceles triangle are equal, and use known results to obtain simple proofs
including use of
brackets
G19

Apply and use the concepts of congruence and similarity, including the
relationships between lengths in similar figures
Yr103H Half Term 3
S3 
Construct and interpret diagrams for grouped discrete data and
continuous data, i.e. histograms with equal and unequal class intervals
and cumulative frequency graphs, and know their appropriate use
S4 
Interpret, analyse and compare distributions of data sets from
univariate empirical distributions through appropriate graphical
representation involving discrete, continuous and grouped data, including
box plots
interpret, analyse and compare the distributions of data sets from
univariate empirical distributions through consideration of outliers, quartiles
and inter-quartile range

S6 


Draw estimated lines of best fit
Make predictions
Interpolate and extrapolate apparent trends whilst knowing the
dangers of doing so
S1 
Infer properties of populations or distributions from a sample, whilst
knowing the limitations of sampling
A4 
Simplify and manipulate algebraic expressions by:
expanding products of two binomials
factorising quadratic expressions of the form x 2 +bx+c
including the difference of two squares
simplifying expressions involving sums, products and powers,
including the laws of indices
o
o
o
A5 
Understand and use standard mathematical formulae
Rearrange formulae to change the subject

R12
Know and apply the formulae to calculate the volume of cuboids and
other right prisms (including cylinders)
Calculate the volume of spheres, pyramids, cones and composite 
G17

solids
N8 
Calculate exactly with multiples of π
A9 
Use the form
to identify parallel lines and perpendicular
lines

including use of
formulae from other subjects
in words and using symbols
Compare lengths, areas and volumes using ratio notation
Scale factors
Make links to similarity


G16


Find the equation of the line through two given points, or through one
point with a given gradient
including frustums
A10
Identify and interpret gradients and intercepts of linear functions
graphically and algebraically
A14

Plot and interpret graphs (including reciprocal graphs and
exponential graphs) and graphs of non-standard functions in real contexts,
to find approximate solutions to problems such as simple kinematics
problems involving distance, speed and acceleration
A17

Solve linear equations in one unknown algebraically
Including those with the unknown on both sides of the equation
including problems
requiring a graphical
solution

including use of
brackets
Yr103F Half Term 3
G20


R12
Know and use the trigonometric ratios
Apply them to find angles and lengths in right-angled triangles in two dimensional figures
Compare lengths using ratio notation
G12

Identify properties of the faces, surfaces, edges and vertices of: cubes, cuboids, prisms,
cylinders, pyramids, cones and spheres (review of Year 9)
G17

Calculate the perimeter of a 2D shape and composite shapes (review of Year 9)
Calculate the area of composite shapes (review of Year 9)
Find the surface area of pyramids and composite solids


G16

o
o
o

G11

A9 

A10
Know and apply formulae to calculate area of:
triangles
parallelograms
trapezia
(review of Year 9)
Solve geometrical problems on co-ordinate axes
Use the form
to identify parallel lines
Find the equation of the line through two given points, or through one point with a given
gradient
Identify and interpret gradients and intercepts of linear functions graphically and
algebraically
Yr104H Half Term 4
A12
Recognise, sketch and interpret graphs of linear functions, 
(including using the
quadratic functions, simple cubic functions and the reciprocal
function
symmetry of functions)
with
A17

Solve linear equations in one unknown algebraically including
those with the unknown on both sides of the equation
Find approximate solutions using a graph
A18
including use of brackets
Solve quadratic equations algebraically by factorising
Find approximate solutions using a graph

A21
Translate simple situations or procedures into algebraic
expressions or formulae; derive an equation and the solve the
equation and interpret the solution
G11

Solve geometrical problems on co-ordinate axes
G7
Identify, describe and construct congruent and similar
shapes, including on co-ordinate axes, by considering rotation,
reflection, translation and enlargement (including fractional and
negative scale factors)
G8
Describe the changes and invariance achieved by
combinations of rotations, reflections and translations
G17

Find the surface area of pyramids and composite solids
Calculate surface area of spheres, cones and composite


including solution of
geometrical problems and
problems set in context

including using column
vector notation for translations

including frustums

including use of formulae
from other subjects in words and
using symbols
solids

G18

A4 
o
o
o
o
A5 

A6 

Calculate the volume of spheres, pyramids, cones and
composite solids
Calculate arc lengths, angles and areas of sectors of circles
Simplify and manipulate algebraic expressions (including
those involving surds) by:
expanding products of two or more binomials
factorising quadratic expressions of the form
including the difference of two squares
factorising quadratic expressions of the form
simplifying expressions involving sums, products and
powers, including the laws of indices
Understand and use standard mathematical formulae
Rearrange formulae to change the subject
Know the difference between an equation and an identity
Argue mathematically to show algebraic expressions are
equivalent, and use algebra to support and construct arguments and
proofs
A7 


R16
Where appropriate, interpret simple expressions as functions
with inputs and outputs
Interpret the reverse process as the ‘inverse function’
Interpret the succession of two functions as a ‘composite
function’
understand and use
function notation: f(x) , fg(x) , f
−1 (x) is expected at higher tier
Set up, solve and interpret the answers in growth and decay problems, including compound
interest and work with general iterative processes
Yr104F Half Term 4
G9
Identify and apply circle definitions and properties,
including centre, radius, chord, diameter, circumference,
tangent, arc, sector and segment (review of Year 9)
G17

Know and use the formulae

Circumference of a circle =2πr=πd
Area of a circle =πr 2
Calculate the perimeter of 2D shapes including
circles and composite shapes
Calculate areas of circles and composite shapes
(review of Year 9)
Calculate surface area of spheres, cones and
composite solids
o
o



G18

N8 
A19

A21
Including frustums
Solutions in terms of π may be asked
for.
Calculate arc lengths, angles and areas of sectors
of circles
Calculate exactly with multiples of π
Solve two simultaneous equations in two variables
(linear / linear) algebraically
Find approximate solutions using a graph

Including the solution of
geometrical problems and problems set
in context
G3
Derive and use the sum of angles in a triangle
(e.g. to deduce and use the angle sum in any polygon,
and to derive properties of regular polygons)
G4
Derive and apply the properties and definitions of:
special types of quadrilaterals, including
square, rectangle, parallelogram, trapezium, kite and
rhombus
and triangles and other plane figures using
appropriate language
including knowing names and
properties of isosceles, equilateral,
scalene, right-angled, acute-angled,
obtuse-angled triangles
including knowing names and
using the polygons: pentagon, hexagon,


o
o
Translate simple situations or procedures into
algebraic expressions or formulae
Derive two simultaneous equations
Solve the equations and interpret the solution
octagon and decagon
Yr105H Half Term 5
G20




G21


G6
R12
A16
Know the formula for Pythagoras' Theorem a 2 +b 2 =c 2
Apply it to find length in right angled triangles and, where possible, general triangles in two
and three dimensional figures
Know and use the trigonometric ratios
Apply them to find angles and lengths in right-angled triangles and, where possible, general
triangles in two and three dimensional figures
Know the exact values of
0°, 30° 45°, 60° and 90°
Know the exact value of
0°, 30°, 45° and 60°
Apply angle facts, triangle congruence, similarity and properties of quadrilaterals to conjecture
and derive results about angles and sides including Pythagoras’ Theorem, use known results to obtain
simple proofs
Compare lengths using ratio notation; Make links to trigonometric ratios


A17

A18

Recognise and use the equation of a circle with centre at
the origin
Find the equation of a tangent to a circle at a given point.
Solve linear equations in one unknown algebraically including
those with the unknown on both sides of the equation
Find approximate solutions using a graph
Solve quadratic equations (including those that require
rearrangement) algebraically by factorising, by completing the
square and by using the quadratic formula
Find approximate solutions using a graph
A12
Recognise, sketch and interpret graphs of linear and
quadratic functions
A11
Identify and interpret roots, intercepts and turning points of 
quadratic functions graphically; deduce roots algebraically and
turning points by completing the square
A21
including use of brackets
Translate simple situations or procedures into algebraic

including the symmetrical
property of a quadratic
including solution of

expressions or formulae
derive an equation, solve the equation and interpret the
solution
geometrical problems and
problems set in context
Yr105F Half Term 5
A14
R14

Plot and interpret graphs (including reciprocal graphs) and graphs
of non-standard functions in real contexts, to find approximate solutions
to problems such as simple kinematic problems involving distance, speed
and acceleration
Interpret the gradient of a straight-line graph as a rate of change
P1 

Record, describe and analyse the frequency of outcomes of
probability experiments using tables and frequency trees (review of Year
9)
P4 
Apply the property that the probabilities of an exhaustive set of
outcomes sum to one (review of Year 9)
Apply the property that the probabilities of an exhaustive set of
mutually exclusive events sum to one (review of Year 9)

including
problems requiring a
graphical solution
probabilities should be
written as fractions, decimals or
percentages
P7 
Construct theoretical possibility spaces for single and combined
experiments with equally likely outcomes and use these to calculate
theoretical probabilities (review of Year 9)
P2 
Apply ideas of randomness, fairness and equally likely events to
calculate expected outcomes or multiple future experiments
P3 
Relate relative expected frequencies to theoretical probability,
using appropriate language and the 0 – 1 probability scale
P5 
Understand that empirical unbiased samples tend towards
theoretical probability distributions with increasing sample size
P6 
Enumerate sets and combinations of sets systematically using
tables, grids, Venn diagrams and tree diagrams
P8 

know when to add and
Calculate the probability of independent and dependent combined
when to multiply two or more
events, including using tree diagrams and other representations, and
probabilities
know the underlying assumptions
Yr106H Half Term 6
R10
R13
Solve problems involving direct and inverse
proportion, including graphical and algebraic
representations
Understand that is inversely proportional to
is equivalent to is proportional to

Construct and interpret equations that
describe direct and inverse proportion
R14
Recognise and interpret graphs that illustrate
direct and inverse proportion
A22

know the conventions of an open circle on a
Solve linear inequalities in one or two variables
number line for a strict inequality and a closed circle for an
and quadratic inequalities in one variable
included boundary
Represent the solution set on a number line,

in graphical work the convention of a dashed line
using set notation and on a graph

for strict inequalities and a solid line for an included
inequality will be required
A12
Recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic
functions and the reciprocal function
values of
G25


with
, exponential functions
for positive
, and the trigonometric functions (with arguments in degrees)
for angles of any size
Apply addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic
and column representation of vectors
Use vectors to construct geometric arguments and proofs
Yr106F Half Term6
R12


Compare lengths, areas and volumes using ratio
notation
scale factors
Make links to similarity
G16

Know and apply formulae to calculate the volume
of cuboids and other right prisms (including cylinders)
G17

Calculate the volume of spheres, pyramids,
cones and composite solids
N8 
Calculate exactly with multiples of π
A4 
o
o
o
A5 
Simplify and manipulate algebraic expressions
(including those involving surds) by:
expanding products of two binomials
factorising quadratic expressions of the
form x 2 +bx+c including the difference of two squares
simplifying expressions involving sums,
products and powers, including the laws of indices
Understand and use standard mathematical
formulae

including use of formulae from other
subjects in words and using symbols

Rearrange formulae to change the subject
A6 
Know the difference between an equation and an
identity

Argue mathematically to show algebraic
expressions are equivalent, and use algebra to support
and construct arguments
A7 
Where appropriate, interpret simple expressions
as functions with inputs and outputs
A22

Solve linear inequalities in one variable
Represent the solution set on a number line

know the conventions of an open circle on
a number line for a strict inequality and a closed
circle for an included boundary
Yr111H Half Term 1
G22

Know and apply the Sine rule
and Cosine rule
to find unknown lengths and angles
G23

Know and apply

A13

G10
to calculate the area, sides or angles of any triangle
Sketch translations and reflections of a given function
Apply and prove the standard circle theorems 
concerning angles, radii, tangents and chords and use o
them to prove related results
o
o
o
o
o
o
o
A20
Find approximate solutions to equations
numerically using iteration

including
angle at centre is equal to
twice angle at circumference;
angle in a semi-circle is
90°;
angles in the same
segment are equal;
opposite angles in a cyclic
quadrilateral sum to 180°;
tangent at any point on a
circle is perpendicular to the radius at that
point
tangents from an external
point are equal in length;
the perpendicular from the
centre to a chord bisects the chord;
alternate segment theorem
including the use of suffix notation
in recursive formulae
Yr111F Half Term 1
A17
Solve linear equations in one unknown algebraically

including use of brackets


A21

A12
Including those with the unknown on both sides of the
equation
Find approximate solutions using a graph
Translate simple situations or procedures into algebraic 
expressions or formulae
derive an equation (or two simultaneous equations),
solve the equation(s) and interpret the solution
Recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic
functions and the reciprocal function
with
R10
Solve problems involving direct and inverse proportion,
including graphical and algebraic representations
R13
Understand that is inversely proportional to
equivalent to is proportional to

R14
G20

is
Interpret equations that describe direct and inverse
proportion
Recognise and interpret graphs that illustrate direct and
inverse proportion
Know and use the trigonometric ratios


G21


R12

including the solution of
geometrical problems and problems
set in context
Apply them to find angles and lengths in right-angled
triangles in two dimensional figures (Review of year 10 - 3 year
route)
Know the exact values of
0°, 30° 45°, 60° and 90°
Know the exact value of
0°, 30°, 45° and 60°
Compare lengths using ratio notation (Review of Year 10
- 3 year route)
Make links to trigonometric ratios
Yr112H Half Term 2

R15

R14

A15

A4 
Interpret the gradient at a point on a curve as the instantaneous rate of change
Apply the concepts of average and instantaneous rates of change (gradients of chords
and tangents) in numerical, algebraic and graphical contexts
Interpret the gradient of a straight-line graph as a rate of change
Calculate or estimate gradients of graphs and areas under graphs (including quadratic
and other non-linear graphs)
Interpret the results in cases such as distance-time graphs, velocity-time graphs and
graphs in financial contexts
Simplify and manipulate algebraic expressions involving algebraic fractions
Yr112F Half Term 2
A18


Solve quadratic equations algebraically by factorising
Find approximate solutions using a graph
A12

Recognise, sketch and interpret graphs of quadratic
functions
A11

Identify and interpret roots, intercepts and turning 
points of quadratic functions graphically
Deduce roots algebraically

including the symmetrical property
of a quadratic
R16

Set up, solve and interpret the answers in growth and decay
problems, including compound interest
G25

Apply addition and subtraction of vectors, multiplication of vectors by
a scalar, and diagrammatic and column representation of vectors