Autumn term 35 lessons
Term
Unit
Classbook
page
Strand
Sub-section
N7.1
1-11
1 Mathematical
processes and
applications
1.1 Representing
N7.1
1-11
1 Mathematical
processes and
applications
1.1 Representing
·
introduce and use a range of
mathematical techniques, the most efficient for
analysis and most effective for communication
7-8+
N7.1
1-11
7-8+
1-11
1.2 Analysing – use
mathematical
reasoning
1.4 Interpreting and
evaluating
·
N7.1
·
show insight into the mathematical
connections in the context or problem
7-8+
N7.1
1-11
1.4 Interpreting and
evaluating
·
critically examine strategies adopted
and arguments presented
7-8+
N7.1-2
3
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
2 Number
2.2 Integers, powers
and roots
·
use inverse operations, understanding
that the inverse operation of raising a positive
number to power n is raising the result of this
operation to power 1/n
7-8+
N7.1-3
6
2 Number
2.2 Integers, powers
and roots
·
understand and use rational and irrational
numbers
7-8+
N7.1-3
6
2 Number
2.5 Mental calculation
methods
·
use surds and pi in exact calculations,
without a calculator
7-8+
N7.1-3
6
2 Number
2.5 Mental calculation
methods
·
7-8+
N7.2
32-50
1.4 Interpreting and
evaluating
N7.2
32-50
N7.2
32-50
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
1.1 Representing
1.1 Representing
Year 11
Extension
NC
level
·
systematically model contexts or
problems through precise and consistent use of
symbols and representations, and sustain this
throughout the work
7-8+
examine and extend generalisations
rationalise a denominator such as
·
consider the assumptions in the model
and recognise limitations in the accuracy of
results and conclusions
·
choose and combine representations
from a range of perspectives
7-8+
·
introduce and use a range of
mathematical techniques, the most efficient for
analysis and most effective for communication
7-8+
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
Year 11
Extension
N7.2
32-50
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
support assumptions by clear argument
and follow through a sustained chain of
reasoning, including proof
7-8+
N7.2
32-50
1.4 Interpreting and
evaluating
·
show insight into the mathematical
connections in the context or problem
7-8+
N7.2
32-50
1.4 Interpreting and
evaluating
·
critically examine strategies adopted
and arguments presented
7-8+
N7.2-2
36
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
2 Number
2.1 Place value,
ordering and
rounding
·
use standard index form to make
sensible estimates for calculations involving
multiplication and/ or division
7-8+
N7.2-2
36
2 Number
2.7 Calculator
methods
·
calculate with standard index form, using
a calculator as appropriate
7-8+
N7.2-3
39
2 Number
2.1 Place value,
ordering and
rounding
·
understand how errors can be
compounded in calculations
7-8+
N7.2-3
39
4 Geometry and
measures
4.4 Measures and
mensuration
·
apply knowledge that measurements
given to the nearest whole unit may be
inaccurate by up to one half of the unit in
either direction and use this to understand how
errors can be compounded in calculations
7-8+
N7.2-4
42
2 Number
N7.2-4
42
2 Number
2.1 Place value,
ordering and
rounding
2.7 Calculator
methods
N7.2-5
45
4 Geometry and
measures
4.4 Measures and
mensuration
N7.2-5
45
4 Geometry and
measures
4.4 Measures and
mensuration
·
understand upper and lower bounds
·
use calculators, or written methods, to
calculate the upper and lower bounds of
calculations in a range of contexts, particularly
when working with measurements
·
understand the difference between
formulae for perimeter, area and volume by
considering dimensions
·
consider the dimensions of a formula
and begin to recognise the difference between
formulae for perimeter, area and volume in
simple contexts
NC
level
7-8+
7-8+
7-8+
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
A7.1
12-29
1 Mathematical
processes and
applications
1.1 Representing
A7.1
12-29
1.1 Representing
A7.1
12-29
A7.1
12-29
A7.1-2
14
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
2 Number
A7.1-2
14
3 Algebra
A7.1-3
16
A7.1-4
Year 11
Extension
NC
level
·
systematically model contexts or
problems through precise and consistent use of
symbols and representations, and sustain this
throughout the work
7-8+
·
introduce and use a range of
mathematical techniques, the most efficient for
analysis and most effective for communication
·
show insight into the mathematical
connections in the context or problem
7-8+
7-8+
2.8 Checking results
·
consider the assumptions in the model
and recognise limitations in the accuracy of
results and conclusions
·
check results using appropriate methods
3.2 Sequences,
functions and graphs
·
identify the equations of straight-line
graphs that are parallel
7-8+
3 Algebra
3.1 Equations,
formulae, expressions
and identities
·
explore ‘optimum’ methods of solving
simultaneous equations in different forms
7-8+
19
3 Algebra
3.1 Equations,
formulae, expressions
and identities
·
solve linear inequalities in one and two
variables
7-8+
A7.1-4
19
3 Algebra
3.1 Equations,
formulae, expressions
and identities
·
find and represent the solution set
7-8+
A7.1-5
21
2 Number
2.8 Checking results
·
check results using appropriate methods
7-8+
A7.1-5
21
3 Algebra
3.1 Equations,
formulae, expressions
and identities
·
solve linear inequalities in one and two
variables
7-8+
A7.1-5
21
3 Algebra
3.1 Equations,
formulae, expressions
and identities
·
7-8+
A7.2
97-114
1 Mathematical
processes and
applications
1.1 Representing
1.4 Interpreting and
evaluating
1.4 Interpreting and
evaluating
7-8+
7-8+
find and represent the solution set
·
systematically model contexts or
problems through precise and consistent use of
symbols and representations, and sustain this
throughout the work
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
Year 11
Extension
NC
level
A7.2
97-114
1 Mathematical
processes and
applications
1.1 Representing
·
introduce and use a range of
mathematical techniques, the most efficient for
analysis and most effective for communication
7-8+
A7.2
97-114
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
support assumptions by clear argument
and follow through a sustained chain of
reasoning, including proof
7-8+
A7.2-1
97
3 Algebra
·
simplify simple algebraic fractions to
produce linear expressions
7-8+
A7.2-3
102
2 Number
3.1 Equations,
formulae, expressions
and identities
2.8 Checking results
·
check results using appropriate methods
7-8+
A7.2-3
102
3 Algebra
3.1 Equations,
formulae, expressions
and identities
·
factorise quadratic expressions,
including the difference of two squares, e.g. x2
− 9 = (x + 3)(x − 3) cancel common factors in
7-8+
2
rational expressions, e.g. 2( x  1)
( x  1)
A7.2-4
104
3 Algebra
3.1 Equations,
formulae, expressions
and identities
·
change the subject of a formula,
including cases where the subject occurs twice
7-8+
A7.2-6
110
3 Algebra
3.1 Equations,
formulae, expressions
and identities
·
7-8+
A7.2-6
110
3 Algebra
G7.1
72-96
G7.1
72-96
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
3.1 Equations,
formulae, expressions
and identities
1.1 Representing
G7.1
72-96
G7.1
72-96
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
derive and use more complex formulae
·
derive relationships between different
formulae that produce equal or related results
7-8+
·
choose and combine representations
from a range of perspectives
7-8+
1.2 Analysing – use
mathematical
reasoning
·
support assumptions by clear argument
and follow through a sustained chain of
reasoning, including proof
7-8+
1.4 Interpreting and
evaluating
·
show insight into the mathematical
connections in the context or problem
7-8+
1.4 Interpreting and
evaluating
·
critically examine strategies adopted
and arguments presented
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
Year 11
G7.1
72-96
1.4 Interpreting and
evaluating
72
·
consider the assumptions in the model
and recognise limitations in the accuracy of
results and conclusions
·
show step-by-step deduction in solving
more complex geometrical problems
7-8+
G7.1-1
1 Mathematical
processes and
applications
4 Geometry and
measures
G7.1-1
72
4 Geometry and
measures
4.4 Measures and
mensuration
7-8+
G7.1-2
75
4 Geometry and
measures
4.1 Geometrical
reasoning
·
understand and use the formulae for the
length of a circular arc and area and perimeter
of a sector
·
show step-by-step deduction in solving
more complex geometrical problems
G7.1-3
77
4 Geometry and
measures
4.1 Geometrical
reasoning
·
show step-by-step deduction in solving
more complex geometrical problems
7-8+
G7.1-3
77
4 Geometry and
measures
4.4 Measures and
mensuration
·
solve problems involving surface areas
and volumes of cylinders, pyramids, cones
and spheres
7-8+
G7.1-3
77
4 Geometry and
measures
4.4 Measures and
mensuration
G7.1-4
81
4 Geometry and
measures
4.1 Geometrical
reasoning
·
show step-by-step deduction in solving
more complex geometrical problems
7-8+
G7.1-4
81
4 Geometry and
measures
4.4 Measures and
mensuration
·
solve problems involving surface areas
and volumes of cylinders, pyramids, cones
and spheres
7-8+
G7.1-4
81
4 Geometry and
measures
4.4 Measures and
mensuration
G7.1-5
84
4 Geometry and
measures
4.4 Measures and
mensuration
G7.1-5
84
4 Geometry and
measures
4.4 Measures and
mensuration
G7.2
115-126
1 Mathematical
processes and
applications
1.1 Representing
4.1 Geometrical
reasoning
Extension
7-8+
7-8+
·
solve problems involving more complex
shapes and solids, including segments of
circles and frustums of cones
·
solve problems involving more complex
shapes and solids, including segments of
circles and frustums of cones
·
solve problems involving surface areas
and volumes of cylinders, pyramids, cones
and spheres
7-8+
7-8+
7-8+
·
solve problems involving more complex
shapes and solids, including segments of
circles and frustums of cones
·
choose and combine representations
from a range of perspectives
NC
level
7-8+
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
Year 11
G7.2
115-126
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
support assumptions by clear argument
and follow through a sustained chain of
reasoning, including proof
7-8+
G7.2
115-126
1.4 Interpreting and
evaluating
·
show insight into the mathematical
connections in the context or problem
7-8+
G7.2
115-126
1.4 Interpreting and
evaluating
·
critically examine strategies adopted
and arguments presented
7-8+
G7.2
115-126
1.4 Interpreting and
evaluating
115
·
consider the assumptions in the model
and recognise limitations in the accuracy of
results and conclusions
·
understand and use Pythagoras’
theorem to solve 3-D problems
7-8+
G7.2-1
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
4 Geometry and
measures
S7.1
51-69
1.1 Representing
·
choose and combine representations
from a range of perspectives
7-8+
S7.1
51-69
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
support assumptions by clear argument
and follow through a sustained chain of
reasoning, including proof
7-8+
S7.1
51-69
1.4 Interpreting and
evaluating
51-69
·
consider the assumptions in the model
and recognise limitations in the accuracy of
results and conclusions
·
introduce and use a range of
mathematical techniques, the most efficient for
analysis and most effective for communication
7-8+
S7.1
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
S7.1
51-69
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
make progress by exploring
mathematical tasks, developing and following
alternative approaches
7-8+
S7.1-1
51
5 Statistics
5.1 Specifying a
problem, planning
and collecting data
4.1 Geometrical
reasoning
1.1 Representing
Extension
NC
level
7-8+
7-8+
·
select and justify a sampling scheme and
a method to investigate a population, including
random and stratified sampling
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
S7.1-1
51
5 Statistics
5.1 Specifying a
problem, planning
and collecting data
S7.1-1
51
5 Statistics
5.3 Interpreting and
discussing results
S7.1-2
55
5 Statistics
5.1 Specifying a
problem, planning
and collecting data
S7.1-2
55
5 Statistics
S7.1-2
55
S7.1-3
Year 11
Extension
NC
level
·
understand how different methods of
sampling and different sample sizes may affect
the reliability of conclusions drawn
7-8+
·
recognise the limitations of any
assumptions and the effects that varying the
assumptions could have on the conclusions
drawn from data analysis
·
consider possible difficulties with
planned approaches, including practical
problems
7-8+
5.1 Specifying a
problem, planning
and collecting data
·
7-8+
5 Statistics
5.1 Specifying a
problem, planning
and collecting data
·
deal with practical problems such as
non-response or missing data
7-8+
56
5 Statistics
5.2 Processing and
representing data
·
use an appropriate range of statistical
methods to explore and summarise data
7-8+
S7.1-3
56
5 Statistics
5.2 Processing and
representing data
·
select, construct and modify, on paper
and using ICT, suitable graphical
representation to progress an enquiry,
including histograms for grouped continuous
data with equal class intervals
7-8+
S7.1-3
56
5 Statistics
5.2 Processing and
representing data
·
construct histograms, including those with
unequal class intervals
7-8+
S7.1-3
56
5 Statistics
5.3 Interpreting and
discussing results
·
use, interpret and compare histograms,
including those with unequal class intervals
7-8+
S7.1-3
56
5 Statistics
5.3 Interpreting and
discussing results
S7.1-4
59
5 Statistics
5.2 Processing and
representing data
7-8+
adjust the project plan accordingly
·
compare two or more distributions and
make inferences, using the shape of the
distributions and measures of average and
spread, including median and quartiles
·
use an appropriate range of statistical
methods to explore and summarise data
7-8+
7-8+
Spring term 32
lessons
Term
Unit
Classbook
page
Strand
Sub-section
Year 11
Extension
NC
level
S7.1-4
59
5 Statistics
5.2 Processing and
representing data
·
select, construct and modify, on paper
and using ICT, suitable graphical
representation to progress an enquiry,
including histograms for grouped continuous
data with equal class intervals
S7.1-4
59
5 Statistics
5.2 Processing and
representing data
·
construct histograms, including those with
unequal class intervals
7-8+
S7.1-4
59
5 Statistics
5.3 Interpreting and
discussing results
·
use, interpret and compare histograms,
including those with unequal class intervals
7-8+
S7.1-4
59
5 Statistics
5.3 Interpreting and
discussing results
S7.1-5
61
5 Statistics
5.2 Processing and
representing data
S7.1-5
61
5 Statistics
5.2 Processing and
representing data
S7.1-5
61
5 Statistics
5.2 Processing and
representing data
·
construct histograms, including those with
unequal class intervals
7-8+
S7.1-5
61
5 Statistics
5.3 Interpreting and
discussing results
·
use, interpret and compare histograms,
including those with unequal class intervals
7-8+
S7.1-6
65
5 Statistics
5.2 Processing and
representing data
·
use an appropriate range of statistical
methods to explore and summarise data
7-8+
S7.1-6
65
5 Statistics
5.2 Processing and
representing data
·
including calculating an appropriate
moving average for a time series
7-8+
N7.3
127-147
1.1 Representing
·
choose and combine representations
from a range of perspectives
7-8+
N7.3
127-147
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
1.1 Representing
·
introduce and use a range of
mathematical techniques, the most efficient for
analysis and most effective for communication
7-8+
7-8+
·
compare two or more distributions and
make inferences, using the shape of the
distributions and measures of average and
spread, including median and quartiles
·
use an appropriate range of statistical
methods to explore and summarise data
7-8+
·
select, construct and modify, on paper
and using ICT, suitable graphical
representation to progress an enquiry,
including histograms for grouped continuous
data with equal class intervals
7-8+
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
Year 11
N7.3
127-147
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
make progress by exploring
mathematical tasks, developing and following
alternative approaches
7-8+
N7.3
127-147
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
support assumptions by clear argument
and follow through a sustained chain of
reasoning, including proof
7-8+
N7.3
127-147
1.4 Interpreting and
evaluating
·
show insight into the mathematical
connections in the context or problem
7-8+
N7.3
127-147
1.4 Interpreting and
evaluating
·
critically examine strategies adopted
and arguments presented
7-8+
N7.3
127-147
1.4 Interpreting and
evaluating
127
N7.3-2
131
2 Number
2.3 Fractions,
decimals,
percentages, ratio and
proportion
·
consider the assumptions in the model
and recognise limitations in the accuracy of
results and conclusions
·
use a multiplier raised to a power to
represent and solve problems involving
repeated proportional change, e.g. compound
interest
·
calculate an unknown quantity from
quantities that vary in direct proportion using
algebraic methods where appropriate
7-8+
N7.3-1
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
2 Number
N7.3-3
135
4 Geometry and
measures
4.2 Transformations
and coordinates
·
understand and use the effects of
enlargement on areas and volumes of shapes
and solids
7-8+
N7.3-4
138
2 Number
2.3 Fractions,
decimals,
percentages, ratio and
proportion
·
understand and use direct and inverse
proportion
7-8+
N7.3-5
142
2 Number
2.3 Fractions,
decimals,
percentages, ratio and
proportion
·
solve problems involving inverse
proportion (including inverse squares) using
algebraic methods
7-8+
2.4 Number
operations
Extension
NC
level
7-8+
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
A7.3
200-217
1 Mathematical
processes and
applications
1.1 Representing
A7.3
200-217
1 Mathematical
processes and
applications
1.1 Representing
·
introduce and use a range of
mathematical techniques, the most efficient for
analysis and most effective for communication
7-8+
A7.3
200-217
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
make progress by exploring
mathematical tasks, developing and following
alternative approaches
7-8+
A7.3
200-217
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
support assumptions by clear argument
and follow through a sustained chain of
reasoning, including proof
7-8+
A7.3
200-217
1.4 Interpreting and
evaluating
200
·
consider the assumptions in the model
and recognise limitations in the accuracy of
results and conclusions
·
use factorisation to simplify compound
algebraic fractions
7-8+
A7.3-1
1 Mathematical
processes and
applications
3 Algebra
A7.3-1
200
3 Algebra
·
solve equations involving algebraic
fractions with compound expressions as the
numerators and/or denominators
7-8+
A7.3-2
202
2 Number
2.8 Checking results
·
check results using appropriate methods
7-8+
A7.3-2
202
3 Algebra
3.2 Sequences,
functions and graphs
7-8+
A7.3-3
204
2 Number
2.8 Checking results
·
find approximate solutions of a quadratic
equation from the graph of the corresponding
quadratic function
·
check results using appropriate methods
A7.3-3
204
3 Algebra
3.1 Equations,
formulae, expressions
and identities
A7.3-3
204
3 Algebra
3.1 Equations,
formulae, expressions
and identities
3.1 Equations,
formulae, expressions
and identities
3.1 Equations,
formulae, expressions
and identities
Year 11
Extension
NC
level
·
systematically model contexts or
problems through precise and consistent use of
symbols and representations, and sustain this
throughout the work
7-8+
7-8+
7-8+
·
solve quadratic equations by
factorisation, completing the square and using
the quadratic formula, including those in which
the coefficient of the quadratic term is greater
than 1
·
solve quadratic equations by
factorisation
7-8+
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
Year 11
A7.3-4
206
2 Number
2.8 Checking results
·
A7.3-4
206
3 Algebra
3.1 Equations,
formulae, expressions
and identities
A7.3-4
206
3 Algebra
A7.3-5
208
3 Algebra
3.1 Equations,
formulae, expressions
and identities
3.1 Equations,
formulae, expressions
and identities
A7.3-6
210
3 Algebra
3.1 Equations,
formulae, expressions
and identities
A7.3-7
212
2 Number
2.8 Checking results
A7.3-7
212
3 Algebra
3.1 Equations,
formulae, expressions
and identities
A7.3-7
212
3 Algebra
3.2 Sequences,
functions and graphs
A7.3-8
214
2 Number
2.8 Checking results
A7.3-8
214
3 Algebra
3.1 Equations,
formulae, expressions
and identities
Extension
check results using appropriate methods
7-8+
·
solve quadratic equations by
factorisation, completing the square and using
the quadratic formula, including those in which
the coefficient of the quadratic term is greater
than 1
·
solve quadratic equations by
factorisation
check results using appropriate methods
7-8+
7-8+
7-8+
·
solve exactly, by elimination of an
unknown, two simultaneous equations in two
unknowns, where one is linear in each
unknown and the other is linear in one
unknown and quadratic in the other or of the
form x2 + y2 = r2
·
know and understand that the intersection
points of the graphs of a linear and quadratic
function are the approximate solutions to the
corresponding simultaneous equations
·
7-8+
7-8+
·
solve quadratic equations by
factorisation, completing the square and using
the quadratic formula, including those in which
the coefficient of the quadratic term is greater
than 1
·
solve quadratic equations by
factorisation, completing the square and using
the quadratic formula, including those in which
the coefficient of the quadratic term is greater
than 1
·
NC
level
check results using appropriate methods
7-8+
7-8+
7-8+
·
solve exactly, by elimination of an
unknown, two simultaneous equations in two
unknowns, where one is linear in each
unknown and the other is linear in one
unknown and quadratic in the other or of the
form x2 + y2 = r2
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
Year 11
Extension
NC
level
A7.3-8
214
3 Algebra
3.2 Sequences,
functions and graphs
·
know and understand that the intersection
points of the graphs of a linear and quadratic
function are the approximate solutions to the
corresponding simultaneous equations
7-8+
G7.3
150-177
1.1 Representing
G7.3
150-177
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
G7.3
150-177
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
support assumptions by clear argument
and follow through a sustained chain of
reasoning, including proof
7-8+
G7.3
150-177
1.4 Interpreting and
evaluating
·
show insight into the mathematical
connections in the context or problem
7-8+
G7.3
150-177
G7.3
150-177
G7.3-2
153
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
4 Geometry and
measures
G7.3-3
156
4 Geometry and
measures
4.1 Geometrical
reasoning
·
choose and combine representations
from a range of perspectives
1.1 Representing
7-8+
·
systematically model contexts or
problems through precise and consistent use of
symbols and representations, and sustain this
throughout the work
1.5 Communicating
and reflecting
·
use mathematical language and symbols
effectively in presenting convincing conclusions
or findings
7-8+
7-8+
1.5 Communicating
and reflecting
·
routinely review and refine findings and
approaches
7-8+
4.1 Geometrical
reasoning
·
prove and use the facts that: – the angle
subtended by an arc at the centre of a circle is
twice the angle subtended at any point on the
circumference – the angle subtended at the
circumference by a semicircle is a right angle –
angles in the same segment are equal –
opposite angles in a cyclic quadrilateral sum to
180°
·
prove and use the facts that: – the angle
subtended by an arc at the centre of a circle is
twice the angle subtended at any point on the
circumference – the angle subtended at the
circumference by a semicircle is a right angle –
angles in the same segment are equal –
opposite angles in a cyclic quadrilateral sum to
180°
7-8+
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
Year 11
Extension
NC
level
G7.3-3
156
4 Geometry and
measures
4.1 Geometrical
reasoning
·
prove and use the alternate segment
theorem
7-8+
G7.3-4
160
4 Geometry and
measures
4.1 Geometrical
reasoning
G7.3-5
164
4 Geometry and
measures
4.1 Geometrical
reasoning
G7.4
220-237
1.4 Interpreting and
evaluating
·
critically examine strategies adopted
and arguments presented
7-8+
G7.4
220-237
1.1 Representing
·
choose and combine representations
from a range of perspectives
7-8+
G7.4
220-237
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
1.1 Representing
·
introduce and use a range of
mathematical techniques, the most efficient for
analysis and most effective for communication
7-8+
G7.4
220-237
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
7-8+
G7.4
220-237
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
support assumptions by clear argument
and follow through a sustained chain of
reasoning, including proof
7-8+
G7.4
220-237
1.4 Interpreting and
evaluating
·
show insight into the mathematical
connections in the context or problem
7-8+
G7.4-3
222
1 Mathematical
processes and
applications
4 Geometry and
measures
4.2 Transformations
and coordinates
·
understand and use vector notation to
describe transformation of 2-D shapes by
combinations of translations
7-8+
G7.4-5
227
4 Geometry and
measures
4.2 Transformations
and coordinates
G7.4-5
227
4 Geometry and
measures
4.2 Transformations
and coordinates
G7.4-5
227
4 Geometry and
measures
4.2 Transformations
and coordinates
·
show step-by-step deduction in solving
more complex geometrical problems
7-8+
·
prove the congruence of triangles and
verify standard ruler and compass
constructions using formal arguments
examine and extend generalisations
·
calculate and represent graphically the
sum of two vectors, the difference of two
vectors and a scalar multiple of a vector
·
calculate and represent graphically the
sum of two vectors
7-8+
7-8+
7-8+
·
calculate the resultant of two vectors
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
G7.4-5
227
4 Geometry and
measures
G7.4-6
231
G7.4-6
Year 11
Extension
NC
level
4.2 Transformations
and coordinates
·
understand and use the commutative and
associative properties of vector addition
7-8+
4 Geometry and
measures
4.2 Transformations
and coordinates
7-8+
231
4 Geometry and
measures
4.2 Transformations
and coordinates
·
calculate and represent graphically the
sum of two vectors, the difference of two
vectors and a scalar multiple of a vector
·
solve simple geometrical problems in 2-D
using vectors
S7.2
180-199
1.1 Representing
·
choose and combine representations
from a range of perspectives
7-8+
S7.2
180-199
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
1.1 Representing
·
introduce and use a range of
mathematical techniques, the most efficient for
analysis and most effective for communication
7-8+
S7.2
180-199
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
7-8+
S7.2
180-199
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
support assumptions by clear argument
and follow through a sustained chain of
reasoning, including proof
7-8+
S7.2
180-199
1.4 Interpreting and
evaluating
·
critically examine strategies adopted
and arguments presented
7-8+
S7.2
180-199
1.4 Interpreting and
evaluating
180
2.8 Checking results
·
consider the assumptions in the model
and recognise limitations in the accuracy of
results and conclusions
·
check results using appropriate methods
7-8+
S7.2-1
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
2 Number
S7.2-1
184
5 Statistics
5.2 Processing and
representing data
·
use an appropriate range of statistical
methods to explore and summarise data
7-8+
S7.2-2
184
5 Statistics
5.4 Probability
·
use tree diagrams to represent outcomes
of compound events, recognising when events
are independent and distinguishing between
contexts involving selection both with and
without replacement
7-8+
examine and extend generalisations
7-8+
7-8+
Summer term 33 lessons
Term
Unit
Classbook
page
Strand
Sub-section
Year 11
Extension
NC
level
S7.2-2
184
5 Statistics
5.4 Probability
·
recognise when and how to work with
probabilities associated with independent and
mutually exclusive events when interpreting
data
7-8+
S7.2-3
186
5 Statistics
5.4 Probability
S7.2-4
189
5 Statistics
5.4 Probability
S7.2-5
193
5 Statistics
5.4 Probability
N7.4
338-347
1 Mathematical
processes and
applications
1.1 Representing
N7.4
338-347
1 Mathematical
processes and
applications
1.1 Representing
·
introduce and use a range of
mathematical techniques, the most efficient for
analysis and most effective for communication
7-8+
N7.4
338-347
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
make progress by exploring
mathematical tasks, developing and following
alternative approaches
7-8+
N7.4
338-347
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
support assumptions by clear argument
and follow through a sustained chain of
reasoning, including proof
7-8+
N7.4
338-347
1 Mathematical
processes and
applications
1.4 Interpreting and
evaluating
·
show insight into the mathematical
connections in the context or problem
7-8+
·
use tree diagrams to represent outcomes
of compound events, recognising when events
are independent and distinguishing between
contexts involving selection both with and
without replacement
·
use tree diagrams to represent outcomes
of compound events, recognising when events
are independent and distinguishing between
contexts involving selection both with and
without replacement
·
use tree diagrams to represent outcomes
of compound events, recognising when events
are independent and distinguishing between
contexts involving selection both with and
without replacement
7-8+
7-8+
7-8+
·
systematically model contexts or
problems through precise and consistent use of
symbols and representations, and sustain this
throughout the work
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
Year 11
N7.4
338-347
1 Mathematical
processes and
applications
1.5 Communicating
and reflecting
A7.4
308-335
1.4 Interpreting and
evaluating
A7.4
308-335
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
·
identify how other contexts were
different from, or similar to, the current
situation and explain how and why the same
or different strategies were used
·
show insight into the mathematical
connections in the context or problem
A7.4
308-335
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
support assumptions by clear argument
and follow through a sustained chain of
reasoning, including proof
7-8+
A7.4
308-335
1.4 Interpreting and
evaluating
308
2.8 Checking results
·
consider the assumptions in the model
and recognise limitations in the accuracy of
results and conclusions
·
check results using appropriate methods
7-8+
A7.4-1
1 Mathematical
processes and
applications
2 Number
A7.4-1
308
3 Algebra
3.2 Sequences,
functions and graphs
·
plot graphs of more complex quadratic
and cubic functions
7-8+
A7.4-1
308
3 Algebra
3.2 Sequences,
functions and graphs
·
estimate values at specific points,
including maxima and minima
7-8+
A7.4-1
308
3 Algebra
3.2 Sequences,
functions and graphs
A7.4-1
308
3 Algebra
3.2 Sequences,
functions and graphs
1.1 Representing
Extension
7-8+
7-8+
·
systematically model contexts or
problems through precise and consistent use of
symbols and representations, and sustain this
throughout the work
7-8+
7-8+
·
plot and recognise the characteristic
shapes of graphs of simple cubic functions (e.g.
y = x3 ), reciprocal functions (e.g. y = 1/x, x ≠ 0
), exponential x functions ( y = k for integer
values of x and simple positive values of k)
and trigonometric functions, on paper and using
ICT
·
identify and sketch graphs of linear and
simple quadratic and cubic functions
NC
level
7-8+
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
A7.4-3
314
3 Algebra
3.2 Sequences,
functions and graphs
A7.4-4
316
3 Algebra
3.2 Sequences,
functions and graphs
A7.4-5
319
2 Number
2.8 Checking results
A7.4-5
319
3 Algebra
3.2 Sequences,
functions and graphs
A7.4-7
324
2 Number
2.8 Checking results
A7.4-7
324
3 Algebra
3.2 Sequences,
functions and graphs
A7.4-7
324
3 Algebra
3.2 Sequences,
functions and graphs
A7.4-7
324
4 Geometry and
measures
4.1 Geometrical
reasoning
A7.4-8
328
2 Number
2.8 Checking results
Year 11
·
Extension
NC
level
·
plot and recognise the characteristic
shapes of graphs of simple cubic functions (e.g.
y = x3 ), reciprocal functions (e.g. y = 1/x, x ≠ 0
), exponential x functions ( y = k for integer
values of x and simple positive values of k)
and trigonometric functions, on paper and using
ICT
·
plot and recognise the characteristic
shapes of graphs of simple cubic functions (e.g.
y = x3 ), reciprocal functions (e.g. y = 1/x, x ≠ 0
), exponential x functions ( y = k for integer
values of x and simple positive values of k)
and trigonometric functions, on paper and using
ICT
7-8+
check results using appropriate methods
7-8+
·
plot and recognise the characteristic
shapes of graphs of simple cubic functions (e.g.
y = x3 ), reciprocal functions (e.g. y = 1/x, x ≠ 0
), exponential x functions ( y = k for integer
values of x and simple positive values of k)
and trigonometric functions, on paper and using
ICT
·
check results using appropriate methods
·
understand the effect on the graph of
addition of (or multiplication by) a constant
7-8+
7-8+
·
draw, sketch and describe the graphs of
trigonometric functions for angles of any size,
including transformations involving scalings in
either or both of the x and y directions
check results using appropriate methods
7-8+
7-8+
·
apply to the graph y = f(x) the
transformations y = f(x) + a, y = f(ax), y = f(x +
a) and y = af(x) for linear, quadratic, sine and
cosine functions
·
7-8+
7-8+
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
A7.4-8
328
3 Algebra
3.1 Equations,
formulae, expressions
and identities
A7.4-8
328
3 Algebra
3.2 Sequences,
functions and graphs
A7.4-8
328
3 Algebra
3.2 Sequences,
functions and graphs
G7.5
264-288
1.1 Representing
·
choose and combine representations
from a range of perspectives
7-8+
G7.5
264-288
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
support assumptions by clear argument
and follow through a sustained chain of
reasoning, including proof
7-8+
G7.5
264-288
1.4 Interpreting and
evaluating
·
show insight into the mathematical
connections in the context or problem
7-8+
G7.5
264-288
1.4 Interpreting and
evaluating
·
critically examine strategies adopted
and arguments presented
7-8+
G7.5
264-288
1.4 Interpreting and
evaluating
264
G7.5-2
268
2 Number
2.8 Checking results
·
consider the assumptions in the model
and recognise limitations in the accuracy of
results and conclusions
·
use trigonometric relationships in rightangled triangles to solve 3-D problems,
including finding the angles between a line and
a plane
·
check results using appropriate methods
7-8+
G7.5-1
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
4 Geometry and
measures
G7.5-2
268
4 Geometry and
measures
4.1 Geometrical
reasoning
·
calculate the area of a triangle using the
formula 1/2ab sin C
7-8+
G7.5-5
275
4 Geometry and
measures
4.1 Geometrical
reasoning
·
use the sine and cosine rules to solve 2-D
and 3-D problems
7-8+
4.1 Geometrical
reasoning
Year 11
Extension
NC
level
·
solve exactly, by elimination of an
unknown, two simultaneous equations in two
unknowns, where one is linear in each
unknown and the other is linear in one
unknown and quadratic in the other or of the
form x2 + y2 = r2
·
construct the graphs of simple loci,
including the circle x2 + y2 = r2
7-8+
·
find graphically the intersection points of
a given straight line with this circle and know
this represents the solution to the
corresponding two simultaneous equations
7-8+
7-8+
7-8+
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
Year 11
S7.3
240-263
1.1 Representing
·
choose and combine representations
from a range of perspectives
7-8+
S7.3
240-263
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
1.1 Representing
·
introduce and use a range of
mathematical techniques, the most efficient for
analysis and most effective for communication
7-8+
S7.3
240-263
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
make progress by exploring
mathematical tasks, developing and following
alternative approaches
7-8+
S7.3
240-263
1 Mathematical
processes and
applications
1.2 Analysing – use
mathematical
reasoning
·
support assumptions by clear argument
and follow through a sustained chain of
reasoning, including proof
7-8+
S7.3
240-263
1.4 Interpreting and
evaluating
240
S7.3-1
240
5 Statistics
5.3 Interpreting and
discussing results
S7.3-2
242
5 Statistics
5.2 Processing and
representing data
·
consider the assumptions in the model
and recognise limitations in the accuracy of
results and conclusions
·
understand that if an experiment is
repeated, the outcome may – and usually will
– be different, and that increasing the sample
size generally leads to better estimates of
probability and population parameters
·
recognise the limitations of any
assumptions and the effects that varying the
assumptions could have on the conclusions
drawn from data analysis
·
use an appropriate range of statistical
methods to explore and summarise data
7-8+
S7.3.1
1 Mathematical
processes and
applications
5 Statistics
S7.3-2
242
5 Statistics
5.3 Interpreting and
discussing results
7-8+
S7.3-3
245
5 Statistics
5.2 Processing and
representing data
·
compare two or more distributions and
make inferences, using the shape of the
distributions and measures of average and
spread, including median and quartiles
·
use an appropriate range of statistical
methods to explore and summarise data
S7.3-3
245
5 Statistics
5.2 Processing and
representing data
·
select, construct and modify, on paper
and using ICT, suitable graphical
representation to progress an enquiry,
including histograms for grouped continuous
data with equal class intervals
7-8+
5.4 Probability
Extension
NC
level
7-8+
7-8+
7-8+
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
Year 11
Extension
NC
level
S7.3-3
245
5 Statistics
5.3 Interpreting and
discussing results
·
interpret and use cumulative frequency
diagrams to solve problems
7-8+
S7.3-4
247
5 Statistics
5.2 Processing and
representing data
·
use an appropriate range of statistical
methods to explore and summarise data
7-8+
S7.3-4
247
5 Statistics
5.2 Processing and
representing data
7-8+
S7.3-4
247
5 Statistics
5.3 Interpreting and
discussing results
·
select, construct and modify, on paper
and using ICT, suitable graphical
representation to progress an enquiry,
including histograms for grouped continuous
data with equal class intervals
·
interpret and use cumulative frequency
diagrams to solve problems
S7.3-5
250
5 Statistics
5.2 Processing and
representing data
·
use an appropriate range of statistical
methods to explore and summarise data
7-8+
S7.3-5
250
5 Statistics
5.3 Interpreting and
discussing results
7-8+
S7.3-6
252
5 Statistics
5.2 Processing and
representing data
·
compare two or more distributions and
make inferences, using the shape of the
distributions and measures of average and
spread, including median and quartiles
·
use an appropriate range of statistical
methods to explore and summarise data
S7.3-6
252
5 Statistics
5.2 Processing and
representing data
7-8+
S7.3-6
252
5 Statistics
5.3 Interpreting and
discussing results
S7.3-7
254
5 Statistics
5.2 Processing and
representing data
·
select, construct and modify, on paper
and using ICT, suitable graphical
representation to progress an enquiry,
including histograms for grouped continuous
data with equal class intervals
·
compare two or more distributions and
make inferences, using the shape of the
distributions and measures of average and
spread, including median and quartiles
·
use an appropriate range of statistical
methods to explore and summarise data
S7.3-7
254
5 Statistics
5.2 Processing and
representing data
·
select, construct and modify, on paper
and using ICT, suitable graphical
representation to progress an enquiry,
including histograms for grouped continuous
data with equal class intervals
7-8+
7-8+
7-8+
7-8+
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
S7.3-7
254
5 Statistics
S7.3-7
254
S7.3-7
Year 11
Extension
NC
level
5.2 Processing and
representing data
·
construct histograms, including those with
unequal class intervals
7-8+
5 Statistics
5.3 Interpreting and
discussing results
·
use, interpret and compare histograms,
including those with unequal class intervals
7-8+
254
5 Statistics
5.3 Interpreting and
discussing results
S7.3-8
257
5 Statistics
S7.3-8
257
S7.3-8
7-8+
5.2 Processing and
representing data
·
compare two or more distributions and
make inferences, using the shape of the
distributions and measures of average and
spread, including median and quartiles
·
use an appropriate range of statistical
methods to explore and summarise data
5 Statistics
5.2 Processing and
representing data
·
including calculating an appropriate
moving average for a time series
7-8+
257
5 Statistics
5.2 Processing and
representing data
7-8+
S7.3-8
257
5 Statistics
5.2 Processing and
representing data
S7.4
289-305
1.1 Representing
S7.4
289-305
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
·
use a moving average to identify
seasonality and trends in time series data,
using them to make predictions
·
select, construct and modify, on paper
and using ICT, suitable graphical
representation to progress an enquiry,
including histograms for grouped continuous
data with equal class intervals
·
choose and combine representations
from a range of perspectives
1.1 Representing
·
introduce and use a range of
mathematical techniques, the most efficient for
analysis and most effective for communication
7-8+
S7.4
289-305
7-8+
289-305
1.2 Analysing – use
mathematical
reasoning
1.2 Analysing – use
mathematical
reasoning
·
S7.4
1 Mathematical
processes and
applications
1 Mathematical
processes and
applications
·
support assumptions by clear argument
and follow through a sustained chain of
reasoning, including proof
7-8+
S7.4
289-305
1 Mathematical
processes and
applications
1.4 Interpreting and
evaluating
·
critically examine strategies adopted
and arguments presented
7-8+
examine and extend generalisations
7-8+
7-8+
7-8+
Term
Unit
Classbook
page
Strand
Sub-section
Year 11
S7.4
289-305
1.4 Interpreting and
evaluating
289
·
consider the assumptions in the model
and recognise limitations in the accuracy of
results and conclusions
·
use an appropriate range of statistical
methods to explore and summarise data
7-8+
S7.4-1
1 Mathematical
processes and
applications
5 Statistics
S7.4-1
289
5 Statistics
5.3 Interpreting and
discussing results
7-8+
S7.4-2
292
5 Statistics
5.3 Interpreting and
discussing results
S7.4-2
292
5 Statistics
5.4 Probability
S7.4-3
296
5 Statistics
5.3 Interpreting and
discussing results
S7.4-5
300
2 Number
2.8 Checking results
·
recognise the limitations of any
assumptions and the effects that varying the
assumptions could have on the conclusions
drawn from data analysis
·
recognise the limitations of any
assumptions and the effects that varying the
assumptions could have on the conclusions
drawn from data analysis
·
use tree diagrams to represent outcomes
of compound events, recognising when events
are independent and distinguishing between
contexts involving selection both with and
without replacement
·
recognise the limitations of any
assumptions and the effects that varying the
assumptions could have on the conclusions
drawn from data analysis
·
check results using appropriate methods
S7.4-5
300
5 Statistics
5.2 Processing and
representing data
·
use an appropriate range of statistical
methods to explore and summarise data
7-8+
S7.4-5
300
5 Statistics
5.3 Interpreting and
discussing results
·
compare two or more distributions and
make inferences, using the shape of the
distributions and measures of average and
spread, including median and quartiles
7-8+
5.2 Processing and
representing data
Extension
NC
level
7-8+
7-8+
7-8+
7-8+
7-8+