TERM

PROGRAMME OF STUDY

ASSESSMENT TASKS

AUTUMN

Unit 1 Pattern Sniffing –
 Recognise and use Fibonacci type sequences and
quadratic sequences
 Calculate with roots and with integer indices
Unit 2 Investigating Number Systems –
 Specify error intervals due to truncation or rounding
using inequalities
 Apply and interpret limits of accuracy
Unit 3 Solving Calculation Problems –
 Calculate exactly with multiples of π
 Translate simple situations or procedures into
algebraic expressions or formulae
 Know the difference between an equation or an
identity
Unit 4 Exploring Shape –
 Know the formula for Pythagoras’ Theorem and apply it
 Conjecture and derive results about angles and sides
in geometric figures using angle facts, congruence,
similarity and properties of shapes and obtain simple
proofs
Unit 5 Generalising Arithmetic –
 Simplify and manipulate algebraic expressions
(including those involving surds) by expanding products
of two binomials and factorising quadratic expressions of
the form x² + bx + c, including the difference of two
squares
 Argue mathematically to show algebraic expressions
are equivalent, and use algebra to support and construct
arguments
 Understand and use the concepts and vocabulary of
identities

End of Term
Test 1

SPRING

Unit 6 Reasoning with Measures –
 Calculate arc lengths, angles and areas of sectors
 Apply congruence and similarity to finding missing
lengths in similar figures
Unit 7 Discovering Equivalence –
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Unit 8 Investigating Statistics –
 Interpret and construct tables, charts and diagrams,
including tables and line graphs for time series data and
know their appropriate use
 Draw estimated lines of best fit; make predictions
 Know correlation does not indicate causation
 Interpolate and extrapolate apparent trends whilst
knowing the dangers of so doing
Unit 9 Solving Number Problems –
 Solve two linear simultaneous equations algebraically
 Derive an equation (or pair of simultaneous
equations), solve the equation(s) and interpret the
solution(s)
 Find approximate solutions to simultaneous equations
using a graph
 Solve quadratic equations by factorising
 Find approximate solutions to quadratic equations
using a graph
 Solve linear inequalities in one variable; represent
the solution set on a number line
Unit 10 Reasoning with Fractions –
 Enumerate sets and combinations of sets
systematically using tree diagrams
 Calculate the probability of independent and
dependent combined events, including using tree diagrams
and other representations, and know the underlying
assumptions
 Understand that with increasing sample size,
empirical probability distributions will tend to
theoretical ones

End of Term
Test 2

SUMMER

Unit 11 Visualising Shape –
 Use the basic congruence criteria for triangles
 Identify and apply circle definitions and properties
(tangent, arc, sector, segment)
 Construct plans and elevations of 3D shapes
Unit 12 Exploring Change –
 Use the form y=mx+c, including to identify parallel
lines
 Find the equation of a line through 2 given points,
or through one point with a given gradient
 Identify and interpret roots, intercepts and turning
points of quadratic graphs
 Deduce roots of quadratic functions algebraically
 Recognise, sketch and interpret graphs of simple
cubic functions and the reciprocal function
Unit 13 Proportional Reasoning –
 Solve problems involving direct and inverse
proportion
 Understand that if x is inversely proportional to y,
then x is directly proportional to 1/y
Unit 14 Describing Position –
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Unit 15 Measuring and Estimating –
 Use compound units such as density and pressure
 Change freely between compound units in numerical
contexts
 Plot and interpret graphs (including reciprocal
graphs) and graphs of nonstandard 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

End of Year
Test 3
