How to use this document
This is the outline of the Mathematics Mastery secondary curriculum plan, designed
for use by school leaders and teachers in schools in the Mathematics Mastery
partnership. We are happy to share this programme of study with schools beyond
this community in order to support preparation for and implementation of the new
National Curriculum, but please bear in mind that it is designed to be used in
conjunction with the detailed Mathematics Mastery unit guides and resources.
The curriculum is cumulative in nature; we therefore expect teachers to adhere to the
order of topics as presented to ensure that students have a depth of understanding of
the basic skills and prerequisites of topics due to be taught later in the term. In
particular, it is important not to accelerate through content, e.g. “extending” students
by covering material designed for different year groups. This is in line with the
guidance from the 2014 National Curriculum:
Pupils who grasp concepts rapidly should be challenged through being
offered rich and sophisticated problems before any acceleration through
new content in preparation for key stage 4. Those who are not sufficiently
fluent should consolidate their understanding, including through additional
practice, before moving on.
The belief that every child can succeed in mathematics, regardless of background and
prior attainment, is fundamental to Mathematics Mastery. In planning from this
document for each of the first three years of the secondary programme, it is expected
that teachers will start with the highlighted “middle” row that represents the
expectations for all students in each year group. As some students may need extra
support to access this material, coaching resources are being developed to support
the topics listed in the upper rows. Similarly, ideas will be provided to challenge
students’ depth of understanding, whilst still remaining in the same topic area, as
indicated by the bottom rows. Final preparation for GCSE in the last two years works
in a similar way: all students are expected to cover at least the “middle row” but some
may need consolidation of the material in the top row before or alongside the core
material. Many students will also be able to access and excel at the higher-level
material, especially those who grasp the core material quickly. All these issues will be
covered in greater detail in the training given to schools and through supporting
material on the Mathematics Mastery toolkit.
Year 7
Autumn 2
Autumn 1
Summer 1
Explain and
Spring 1
Spring 2
Solve word problems
Applications of
investigate (multiply
Geometry
Fractions
(add and subtract)
algebra
and divide)
All should be confident and competent in Key Stage 2 material. Review of these prerequisites may be useful for each unit:
 Number bonds
 Mental strategies
 Lengths and units
 Equal parts
 Areas of rectangles

 Convert units
 Multiplication facts
 Parallel and
and triangles
 Factors and multiples
perpendicular
 Money +/−
 Multiplication
 Number patterns

 Tenths and
strategies
 Measurement
 Work with angles
hundredths
 Algebraic notation

 Solve number
 Division and the
 Word problems
 Triangle and

problems
mean
quadrilateral
 Fractional areas
properties
All will have access to this specific Key Stage 3 content:
 Place value (including  Factors, HCF,
 Draw, measure and
 Equivalent fractions
 Order of operations

decimals)
multiples, LCM
name acute and
 Compare and order
 Substitution
obtuse angles
 Add and subtract
 Multiply and divide
fractions and
 Simplify algebraic
(including decimals)
(including decimals)
decimals
 Find unknown angles
expressions
(straight lines, at a

 Estimation
 Area of rectangle and
 Change mixed
 Solve word problems
point,
vertically
triangle
numbers
to
improper
with expressions
 Perimeter
opposite)
fractions and vice
 Calculate the mean
 Word problems
 Sequences (term-toversa
 Properties of
term, not nth term)
triangles and

 Fraction of a quantity
quadrilaterals
 Multiply and divide

fractions
Summer 2
Percentages and
statistics
Decimals and
problem solving
Fractions of shapes
Equivalence
Order of operations
Construct and
interpret statistical
diagrams including
pie charts
Convert between
percentages, vulgar
fractions and
decimals
Percentage of a
quantity
Find the whole, given
the part and the
percentage
As well as looking at the termly projects, highest attaining students may be stretched through depth by consideration of the following:
 Different counting
 Shikaku puzzles
 Comparing and
 Tessellating triangles  Terminating and
 Four fours
systems or bases
converting between
 Different counting
and quadrilaterals
recurring decimals
 Patterns and
systems or bases
representations
 Generalisation
generalising
 Tangram
 Fractions of tangrams
Applications of
 Upper and lower
 Alternative methods

investigations
 Shape block
 Algebraic mean
bounds
of multiplication
percentages
 Rigid shapes
challenges
questions
 Generalisation
This framework follows the content and assessment objectives set out by DfE and Ofqual and, hence, reflects the requirements of GCSE mathematics offered by AQA,
Eduqas, OCR and Pearson.
Year 8
Spring 2
Summer 1
Summer 2
Proportional
3-D geometry
Statistics
reasoning
All should be confident and competent with Year 7 material. Review of these prerequisites may be useful for each unit:
 Factors, multiples
 Problem solving with  Angle types
 Rounding
 Rectilinear areas
 Statistical diagrams
and primes
fractions
 Angle facts
 Bar modelling with
 Fraction +/−
 Ratio and rate
 Multiplication and
 Order of operations
 Rectangle and
factions
 Problem solving with  The mean
division
triangle areas
 Form algebraic
fractions
 Fraction ×/÷
 Calculator skills and
expressions
 Fraction equivalence
 ×/÷ by powers of 10
 Percentage increase
 Bar modelling with
rounding
and calculations
 Substitution
 Problem solving with
and decrease
equations
negative numbers
 Substitution with
 FDP equivalence
negatives
All will have access to this specific Key Stage 3 content:
 Primes and indices
 Negative numbers
 Draw accurate
 Convert between
 Rounding, significant  Collect and organise
and inequality
triangles and
percentages, vulgar
figures and
data
 Prime factorisation to
statements
quadrilaterals (ruler,
fractions and
estimation
find LCM, HCF,
 Interpret and
protractor,
decimals
squares, cubes
compare statistical
 Formulate and
 Circumference and
compasses)
evaluate expressions
area of a circle
representations
 Percentage increase
 Venn diagrams
 Find unknown angles
and decrease, finding  Visualise and identify  Mean, median and
 Linear equations
 Enumerating sets
(including parallel
the whole given the
3-D shapes and their
mode averages
 Expressions and
 Add and subtract
lines)
part and the
nets
equations from real The range and
fractions
percentage
 Conversion between
world situations
 Volume of cuboid,
outliers
length units and
 Ratio (equivalent, of
prism, cylinder,
 Linear sequences: nth
between area units
a quantity) and rate
composite solids
term
 Areas and perimeters  Speed, distance, time
of composite figures
 Areas of
parallelograms and
trapeziums
As well as looking at the termly projects, highest attaining students may be stretched through depth by consideration of the following:
 Egyptian fractions
 Platonic solids
 Misleading graphs
 Explore non-linear
 Similarity and ratio
 Density
 Continued fractions
 Percentage errors
 Equal width
sequences
 Complex
 Area scale factors
histograms
 HCF and LCM
 Plans and elevations
 T-totals
constructions
 Loan repayment
generalisation
 Sampling methods
 Simple angle proofs
Autumn 1
Number
Autumn 2
Algebraic expressions
Spring 1
2-D geometry
This framework follows the content and assessment objectives set out by DfE and Ofqual and, hence, reflects the requirements of GCSE mathematics offered by AQA,
Eduqas, OCR and Pearson.
Year 9
Autumn 1
Spring 2
Autumn 2
Spring 1
Summer 1
Summer 2
Graphs and
Equations and
Algebraic expressions
2-D geometry
Geometry
Statistics
proportion
inequalities
All should be confident and competent with Year 7 and 8 materials. Review of these prerequisites may be useful for each unit:
 Read scales
 Make expressions
 Area and
 Linear graphs
 Compound areas
 Venn diagrams and
circumference
 Linear equations
 Expressions and area
two-way tables
 Sequences
 FDP conversion
 Proportion
 Substitution
 Angles on lines and in  Manipulate formulae
 Powers of 10 and
 Averages and the
triangles
 Percentage increase
 Powers and roots
standard form
range
 Problem solving with
and decrease
 Problem solving with  Angles in parallel
 Number problems
algebra
a calculator
lines
with fractions and
 Pie charts
decimals
 Problem solving with
algebra
All will have access to this specific Key Stage 3 content:
 Cartesian coordinates  Sequences including
 Construction and loci  Construct and solve
 Pythagoras’ theorem
 ProbabilityMean of
arithmetic and
equations and
grouped data
 Linear graphs
 Triangles and
 Exploring
geometric
inequalities
quadrilaterals
(angles
trigonometry
with
a
 Compare two data
 Direct and inverse
on diagonals)
30-60-90 triangle
sets
 Algebraic
 Graphical solutions to
proportion
manipulation
simultaneous
linear

Congruence
and

Transformations

Stem-and-leaf
 Calculate with scales
equations

Change
the
subject
of
similarity
(translation,
rotation,
diagrams
 Standard form
a formula
reflection)
 Quadratic and other
 Angles in polygons
 Scatter graphs
graphs
 Expansion
 Use known angle and
shape facts to obtain
 Factorisation
simple proofs
As well as looking at the termly projects, highest attaining students may be stretched through depth by consideration of the following:
 3-D coordinates
 Further trigonometry  Probability problems
 Algebraic proof
 Geometrical proof
 Regions on graphs
 Explore linear and
 Multiple
 Equations of lines of
 Euclidean geometry
 Linear programming
non-linear graphs
transformations
best fit
 Complex
 Modelling
3-D
Pythagoras

constructions
Throughout Year 9
Approximation and significant figures

Addition, subtraction, multiplication and division with whole numbers, fractions and decimals

 Percentage increase and decrease, finding the whole given the part and the percentage
This framework follows the content and assessment objectives set out by DfE and Ofqual and, hence, reflects the requirements of GCSE mathematics offered by AQA,
Eduqas, OCR and Pearson.
Year 10
Summer 1
Summer 2
Sampling &
Applications of
probability
algebra
All should be confident and competent in Key Stage 3 material. Review of these prerequisites may be useful for each unit:
 Calculate with
 Ratio notation, links
 Algebraic notation
 Decimal calculations
 Sample spaces
 Real-life graphs
fractions
to vulgar fractions,
and substitution,
and rounding
 The probability scale
 Deriving and using
decimals and
including kinematics
expressions, formulae
 Convert and solve
 Units
 Vulgar fractions,
problems with
percentages
formulae
decimals and
and equations
 Area and perimeter of
fractions and
plane shapes,
percentages
 Reflection, rotation
 Congruence
percentages
and translation
including composite
 Straight-line graphs
shapes
 Review indices
 Pythagoras’ theorem
 Equations and
inequalities
 Angle rules
 Rearranging
formulae
All will be assessed on this specific Key Stage 4 content
 Populations and
 Calculations with and  Enlargement
 Algebraic arguments
 Properties of 3-D
 Expand and factorise
samples
rules of indices
shapes;
their
plans
binomials
Similar
shapes

 Loci
Theoretical
and
and
elevations

 Bearings
 Calculations with

Quadratic equations
Key
angle
and
shape

experimental
standard form
 Trigonometry in right
 Estimation
facts
 Cubic and reciprocal
probability
angled triangles
 Surface area and
 Compound interest
graphs
 Coordinates
 Listing
volume of pyramids,
 Growth and decay
(including midpoints,
 Simultaneous
 Set notation
cones and spheres
 Standard non-linear
problems)
equations
 Venn diagrams
(including
exact
sequences
 Equations of parallel
 Graphical solutions of
 Combined events,
answers)
& perpendicular lines
equations
including tree
Angle
proofs

 Vectors
diagrams
 Limits of accuracy
Highest attaining students will also be assessed on the following material, which provides good preparation for Key Stage 5
 Recurrence relations
 Negative scale factors  Vector proofs
 Similar areas and
 Conditional
 Exponential graphs
of enlargement
volumes
probability
 Surds
 Trigonometry graphs
 Complete the square;
quadratic formula
 Recurring decimals
 3-D trigonometry and  Equations of
 Upper and lower
Pythagoras’ theorem
perpendicular lines
bounds
 Fractional indices
 Quadratic
inequalities
 Quadratic sequences
 Further inequalities
 Trigonometry in all
 Combine
triangles
transformations
 Algebraic fractions
Throughout KS4: Students will need to keep working on key skills as they occur within other topics, as well as when the skills are being explicitly addressed. These
include: Addition, subtraction, multiplication and division; order of operations; fractions, decimals and percentages; rounding and estimation; and algebraic notation.
Autumn 1
Number
Autumn 2
Geometry
Spring 1
Reasoning
Spring 2
Geometry & number
This framework follows the content and assessment objectives set out by DfE and Ofqual and, hence, reflects the requirements of GCSE mathematics offered by AQA,
Eduqas, OCR and Pearson.
Year 11
Autumn 1
Autumn 2
Spring 1
Spring 2
Summer 1
Summer 2
Algebra and geometry
Number & statistics
Revision, extension 1
Revision, extension 2
Revision, extension 3
Examinations
All should be confident and competent in Key Stage 3 material. Review of these prerequisites may be useful for each unit:
 Ratio calculations
 Simple statistical
 Review and revision
 Review and revision
 Review and revision
 Review and revision
 Direct and inverse
diagrams
proportion
 Averages and the
 Derive and use
range
expressions, formulae  Solve number
and equations
problems
All will be assessed on this specific Key Stage 4 content
 Arcs and sectors of
 Represent and
 Review and revision
 Review and revision
 Review and revision
 Review and revision
circles
describe distributions
 Using angle and
 Identify misleading
shape facts to derive
graphs
results
 Time series
 Proof in algebra and
 Correlation and lines
geometry
of best fit
 Variation
 Solve problems
involving compound
units
Highest attaining students will also be assessed on the following material, which provides good preparation for Key Stage 5
 Apply and prove
 Histograms with
 Functions and their
 Solve equations by
 Review and revision
 Review and revision
circle theorems
equal and unequal
inverses
iteration
class intervals
 Equation of a circle
 Composite functions
 Gradients of curves
and the tangent to a
and areas under
 Cumulative frequency  Transformations of
circle
functions
graphs
graphs and box plots
 Variation with
powers
Throughout KS4: Students will need to keep working on key skills as they occur within other topics, as well as when the skills are being explicitly addressed. These
include: Addition, subtraction, multiplication and division; order of operations; fractions, decimals and percentages; rounding and estimation; and algebraic notation.
This framework follows the content and assessment objectives set out by DfE and Ofqual and, hence, reflects the requirements of GCSE mathematics offered by AQA,
Eduqas, OCR and Pearson.